Introduction to String Theory

... 1.1.1 Our Model of Elementary Particles and Interactions . . 3 1.1.2 Theoretical questions raised by this description . . . . 5 1.1.3 Some proposals for physics beyond the Standard Model 7 1.1.4 String theory as a theory beyond the Standard Model . 13 2 Overview of string theory in perturbation theo ...

... 1.1.1 Our Model of Elementary Particles and Interactions . . 3 1.1.2 Theoretical questions raised by this description . . . . 5 1.1.3 Some proposals for physics beyond the Standard Model 7 1.1.4 String theory as a theory beyond the Standard Model . 13 2 Overview of string theory in perturbation theo ...

Thermal Brane Probes

... other hand a conformally invariant gauge theory living in the d-dimensional boundary of AdSd+1 .1 The most renowned concrete realization of such a correspondence was conjectured by Maldacena in 1997, starting from symmetry considerations and from the twofold picture through which one can describe th ...

... other hand a conformally invariant gauge theory living in the d-dimensional boundary of AdSd+1 .1 The most renowned concrete realization of such a correspondence was conjectured by Maldacena in 1997, starting from symmetry considerations and from the twofold picture through which one can describe th ...

NOT EVEN WRONG tells a fascinating and complex story about

... and it has found beautiful and persuasive answers to many of these questions. These answers turn out to be most naturally expressed not in natural language, but in the language of mathematics. The power and sophistication of mathematical language has grown tremendously in recent centuries, often in ...

... and it has found beautiful and persuasive answers to many of these questions. These answers turn out to be most naturally expressed not in natural language, but in the language of mathematics. The power and sophistication of mathematical language has grown tremendously in recent centuries, often in ...

Gauge symmetries in Quantum Gravity and String Theory

... This thesis explores the spectrum of states charged under global and gauge symmetries in String Theory, and the constraints that they pose on specific phenomenological models. On one hand, we use supercritical theories (those with more than 10 or 26 dimensions) to embed discrete gauge symmetries of ...

... This thesis explores the spectrum of states charged under global and gauge symmetries in String Theory, and the constraints that they pose on specific phenomenological models. On one hand, we use supercritical theories (those with more than 10 or 26 dimensions) to embed discrete gauge symmetries of ...

The Complete Idiot``s Guide to String Theory

... Note: This publication contains the opinions and ideas of its author. It is intended to provide helpful and informative material on the subject matter covered. It is sold with the understanding that the author and publisher are not engaged in rendering professional services in the book. If the reade ...

... Note: This publication contains the opinions and ideas of its author. It is intended to provide helpful and informative material on the subject matter covered. It is sold with the understanding that the author and publisher are not engaged in rendering professional services in the book. If the reade ...

The AdS/CMT manual for plumbers and electricians

... non-perturbative quantum field theory revolution, like the Luttinger liquids of one dimensions and the Chern-Simons topological field theory describing topological order. But none of these shed any light on the main stream great mysteries like the strange metals, the origin of high Tc superconductiv ...

... non-perturbative quantum field theory revolution, like the Luttinger liquids of one dimensions and the Chern-Simons topological field theory describing topological order. But none of these shed any light on the main stream great mysteries like the strange metals, the origin of high Tc superconductiv ...

The AdS 3/CFT2 correspondence in black hole physics

... The subject of black holes has been around for almost a century in different manifestations. Their status has fluctuated over the years, from being viewed as singular solutions of the Einstein equations to becoming a major branch of research in classical General Relativity. This led to a ‘golden age ...

... The subject of black holes has been around for almost a century in different manifestations. Their status has fluctuated over the years, from being viewed as singular solutions of the Einstein equations to becoming a major branch of research in classical General Relativity. This led to a ‘golden age ...

Black Spot.

... concerning the quantum theory of gravity. Mathur and others claim that in [38, 39], they found a solution to several black hole paradoxes. In this proposal the black hole picture changes radically. The conventional black hole picture coming from general relativity is a singularity surrounded by a ho ...

... concerning the quantum theory of gravity. Mathur and others claim that in [38, 39], they found a solution to several black hole paradoxes. In this proposal the black hole picture changes radically. The conventional black hole picture coming from general relativity is a singularity surrounded by a ho ...

arXiv:hep-th/9703136v1 19 Mar 1997

... regarded as a broad-brushed sketch of modern views on quantum field theory and string theory, stressing moduli spaces, duality and the interconnectedness of the subject. I have taken perhaps a more mathematical point of view than is usual in these kind of introductory texts. I also tried to emphasiz ...

... regarded as a broad-brushed sketch of modern views on quantum field theory and string theory, stressing moduli spaces, duality and the interconnectedness of the subject. I have taken perhaps a more mathematical point of view than is usual in these kind of introductory texts. I also tried to emphasiz ...

theoretical physics in the Netherlands

... • Offers joint program for education of TH Ph.D. students at 6 universities + NIKHEF via advanced courses • Two themes: 1. Quantum Field Theory and Elementary Particles 2. Condensed Matter and Statistical Physics • Organizes biannual 2-day symposium with both themes • Organizes yearly Winter Schools ...

... • Offers joint program for education of TH Ph.D. students at 6 universities + NIKHEF via advanced courses • Two themes: 1. Quantum Field Theory and Elementary Particles 2. Condensed Matter and Statistical Physics • Organizes biannual 2-day symposium with both themes • Organizes yearly Winter Schools ...

Large Extra Dimensions - Are you sure you want to look at this?

... curled up on the order of the Planck length (10-35 m.) Then, string theory sought to unify quantum mechanics and general relativity. Although it is a major contender for a quantum theory of gravity, it requires 6 or 7 additional spatial dimensions that are compactified. Extensions of string theory l ...

... curled up on the order of the Planck length (10-35 m.) Then, string theory sought to unify quantum mechanics and general relativity. Although it is a major contender for a quantum theory of gravity, it requires 6 or 7 additional spatial dimensions that are compactified. Extensions of string theory l ...

Physical Mathematics and the Future

... One thing led to another and, with a great boost from the resurgent interest in string theory, after 40-odd years of a flowering of intellectual endeavor a new field has emerged with its own distinctive character, its own aims and values, its own standards of proof. I like to refer to the subject as ...

... One thing led to another and, with a great boost from the resurgent interest in string theory, after 40-odd years of a flowering of intellectual endeavor a new field has emerged with its own distinctive character, its own aims and values, its own standards of proof. I like to refer to the subject as ...

Part I: Understanding String Theory

... To fully understand string theory is not a trivial endeavor. It is a synthesis of over a century of scientific advancement and draws from a wide variety of concepts familiar to physicists. String theory is often presented as a so-called grand unified theory (GUT); an attempt to describe the behavior ...

... To fully understand string theory is not a trivial endeavor. It is a synthesis of over a century of scientific advancement and draws from a wide variety of concepts familiar to physicists. String theory is often presented as a so-called grand unified theory (GUT); an attempt to describe the behavior ...

Gibbs_1

... physicists recognized the importance of certain types of symmetry and self-consistency conditions in quantum field theory which led to an almost unique model for physics up to the electro-weak unification energy scale, with only a few parameters such as particle masses to be determined. The situatio ...

... physicists recognized the importance of certain types of symmetry and self-consistency conditions in quantum field theory which led to an almost unique model for physics up to the electro-weak unification energy scale, with only a few parameters such as particle masses to be determined. The situatio ...

The Cyclotron Note Books

... all physics is unified into one neat and tidy theory. There is no a priori reason to be so sure of this. It is quite possible that physicists will always be discovering new forces or finding new layers of structure in particles without ever arriving at a final theory. It is quite simply the nature o ...

... all physics is unified into one neat and tidy theory. There is no a priori reason to be so sure of this. It is quite possible that physicists will always be discovering new forces or finding new layers of structure in particles without ever arriving at a final theory. It is quite simply the nature o ...

underdetermination and theory succession from the perspective of

... The current status of string theory looks even more remarkable when one considers the theory’s future prospects: today, about 30 years after its creation, string theory still lacks any realistic prospect of becoming experimentally testable. The characteristic experimental signatures of string theory ...

... The current status of string theory looks even more remarkable when one considers the theory’s future prospects: today, about 30 years after its creation, string theory still lacks any realistic prospect of becoming experimentally testable. The characteristic experimental signatures of string theory ...

7. Low Energy Effective Actions

... Here gαβ is again the worldsheet metric. This action describes a map from the worldsheet of the string into a spacetime with metric Gµν (X). (Despite its name, this metric is not to be confused with the Einstein tensor which we won’t have need for in this lecture notes). Actions of the form (7.1) ar ...

... Here gαβ is again the worldsheet metric. This action describes a map from the worldsheet of the string into a spacetime with metric Gµν (X). (Despite its name, this metric is not to be confused with the Einstein tensor which we won’t have need for in this lecture notes). Actions of the form (7.1) ar ...

Harmony of Scattering Amplitudes: From gauge theory

... In particular, they [non-renormalization theorems and algebraic formalism] suggest that maximal supergravity is likely to diverge at four loops in D = 5 and at five loops in D = 4, unless other infinity suppression mechanisms not involving supersymmetry or gauge Bossard, Howe, Stelle (2009) invarian ...

... In particular, they [non-renormalization theorems and algebraic formalism] suggest that maximal supergravity is likely to diverge at four loops in D = 5 and at five loops in D = 4, unless other infinity suppression mechanisms not involving supersymmetry or gauge Bossard, Howe, Stelle (2009) invarian ...

The Internal and External Problems of String Theory

... that of a mathematically inspired metaphysics of nature? An adequate answer to these questions is certainly not to be expected from physics; physics does not have the methodology to answer such metatheoretical questions. These are undoubtedly questions to be answered in the context of philosophy of ...

... that of a mathematically inspired metaphysics of nature? An adequate answer to these questions is certainly not to be expected from physics; physics does not have the methodology to answer such metatheoretical questions. These are undoubtedly questions to be answered in the context of philosophy of ...

URL - StealthSkater

... The connections of N=4 SUSY with 2-D integrable systems and the possibly of both stringy and QFT descriptions characterized by dual conformal symmetries giving rise to Yangian invariance reduce in TGD framework to the duality between descriptions based on string world sheets and partonic 2-surfaces ...

... The connections of N=4 SUSY with 2-D integrable systems and the possibly of both stringy and QFT descriptions characterized by dual conformal symmetries giving rise to Yangian invariance reduce in TGD framework to the duality between descriptions based on string world sheets and partonic 2-surfaces ...

Space-Time Uncertainty and Noncommutativity in String Theory

... quantum mechanical Heisenberg relation, given the fact that the mass of the Dparticle is proportional to 1/gs . All these properties are natural from the viewpoint of open string theories where the relation (3) must be valid. Finally, let us discuss one important question. Since the relation (3) is ...

... quantum mechanical Heisenberg relation, given the fact that the mass of the Dparticle is proportional to 1/gs . All these properties are natural from the viewpoint of open string theories where the relation (3) must be valid. Finally, let us discuss one important question. Since the relation (3) is ...

The Cosmological Constant From The Viewpoint Of String Theory

... The problem of the vacuum energy density or cosmological constant – why it is zero or extremely small by particle physics standards – really only arises in the presence of gravity, since without gravity, we don’t care about the energy of the vacuum. Moreover, it is mainly a question about quantum g ...

... The problem of the vacuum energy density or cosmological constant – why it is zero or extremely small by particle physics standards – really only arises in the presence of gravity, since without gravity, we don’t care about the energy of the vacuum. Moreover, it is mainly a question about quantum g ...

Classical and Quantum Production of Cornucopions At Energies

... course, the semiclassical approximation breaks down in this case and one must understand strong coupling physics. We cannot do this at present for real cornucopions, but some progress can be made by studying an analogous problem in 1 + 1 dimensional string theory where the strong coupling singularit ...

... course, the semiclassical approximation breaks down in this case and one must understand strong coupling physics. We cannot do this at present for real cornucopions, but some progress can be made by studying an analogous problem in 1 + 1 dimensional string theory where the strong coupling singularit ...

URL - StealthSkater

... fantastic energies to split an atom down to the impossibly-small Planck size (10-35 m) in order to test the superstring hypothesis are on the order of a black hole and way beyond our present-day technological reach. “Fields” were first introduced by the great 19th century British scientist Michael F ...

... fantastic energies to split an atom down to the impossibly-small Planck size (10-35 m) in order to test the superstring hypothesis are on the order of a black hole and way beyond our present-day technological reach. “Fields” were first introduced by the great 19th century British scientist Michael F ...

# String theory

In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. String theory describes how these strings propagate through space and interact with each other. On distance scales larger than the string scale, a string looks just like an ordinary particle, with its mass, charge, and other properties determined by the vibrational state of the string. In string theory, one of the many vibrational states of the string corresponds to the graviton, a quantum mechanical particle that carries gravitational force. Thus string theory is a theory of quantum gravity.String theory is a broad and varied subject that attempts to address a number of deep questions of fundamental physics. String theory has been applied to a variety of problems in black hole physics, early universe cosmology, nuclear physics, and condensed matter physics, and it has stimulated a number of major developments in pure mathematics. Because string theory potentially provides a unified description of gravity and particle physics, it is a candidate for a theory of everything, a self-contained mathematical model that describes all fundamental forces and forms of matter. Despite much work on these problems, it is not known to what extent string theory describes the real world or how much freedom the theory allows to choose the details.String theory was first studied in the late 1960s as a theory of the strong nuclear force, before being abandoned in favor of quantum chromodynamics. Subsequently, it was realized that the very properties that made string theory unsuitable as a theory of nuclear physics made it a promising candidate for a quantum theory of gravity. The earliest version of string theory, bosonic string theory, incorporated only the class of particles known as bosons. It later developed into superstring theory, which posits a connection called supersymmetry between bosons and the class of particles called fermions. Five consistent versions of superstring theory were developed before it was conjectured in the mid-1990s that they were all different limiting cases of a single theory in eleven dimensions known as M-theory. In late 1997, theorists discovered an important relationship called the AdS/CFT correspondence, which relates string theory to another type of physical theory called a quantum field theory.One of the challenges of string theory is that the full theory does not yet have a satisfactory definition in all circumstances. Another issue is that the theory is thought to describe an enormous landscape of possible universes, and this has complicated efforts to develop theories of particle physics based on string theory. These issues have led some in the community to criticize these approaches to physics and question the value of continued research on string theory unification.