Neitzke: What is a BPS state?

... Moreover, if we choose X to be a Calabi-Yau threefold, then the system is supersymmetric. Now let us consider the space of (charged) 1-particle states. The classical picture of these states is simple to understand: they come from extended objects known as “Dp-branes.” One considers such a Dp-brane s ...

... Moreover, if we choose X to be a Calabi-Yau threefold, then the system is supersymmetric. Now let us consider the space of (charged) 1-particle states. The classical picture of these states is simple to understand: they come from extended objects known as “Dp-branes.” One considers such a Dp-brane s ...

PDF Transparencies

... • It is a continuation of SUSY gauge theories into brane configurations of IIA string theory and M-theory. • Typically there is a length scale which, along with and , controls whether we are in the (nonoverlapping) field theory, IIA, or M-theory regime. ...

... • It is a continuation of SUSY gauge theories into brane configurations of IIA string theory and M-theory. • Typically there is a length scale which, along with and , controls whether we are in the (nonoverlapping) field theory, IIA, or M-theory regime. ...

A New Constraint on Strongly Coupled Field Theories

... θ. If the low energy theory is a gauge field theory governed by a free infrared fixed point, then the β function will be positive at weak coupling where TrG2 is known to be negative. This is realized if the low energy theory is either an abelian theory with massless fermions or a non-abelian theory ...

... θ. If the low energy theory is a gauge field theory governed by a free infrared fixed point, then the β function will be positive at weak coupling where TrG2 is known to be negative. This is realized if the low energy theory is either an abelian theory with massless fermions or a non-abelian theory ...

Duality, Phases, Spinors and Monopoles in SO (N) and Spin (N

... duality was discovered in N = 1 nonabelian supersymmetric gauge theories by Seiberg [3]. In [3] and [4], the physics of duality for SO(N ) gauge theories1 with Nf fields in the vector representation was studied. The SO(N ) gauge theories were shown to have magnetic and sometimes dyonic dual descript ...

... duality was discovered in N = 1 nonabelian supersymmetric gauge theories by Seiberg [3]. In [3] and [4], the physics of duality for SO(N ) gauge theories1 with Nf fields in the vector representation was studied. The SO(N ) gauge theories were shown to have magnetic and sometimes dyonic dual descript ...

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 ...

5. Chern-Simons Theories

... Gauge fields that are related by gauge transformations should be considered physically equivalent. This means that we can think of A0 (strictly speaking, its zero mode) as being a periodic variable, with periodicity 2⇡~/e , inversely proportional to the ...

... Gauge fields that are related by gauge transformations should be considered physically equivalent. This means that we can think of A0 (strictly speaking, its zero mode) as being a periodic variable, with periodicity 2⇡~/e , inversely proportional to the ...

Mirror symmetry and the half-filled Landau level

... Theory A has a “Higgs branch”,2 a moduli space of vacua parametrized by the complex fields v± . Such moduli spaces are protected by supersymmetry, but will be shortly lifted by the addition of a magnetic field to realize the Landau levels. On the other hand, theory B has a Coulomb branch where the t ...

... Theory A has a “Higgs branch”,2 a moduli space of vacua parametrized by the complex fields v± . Such moduli spaces are protected by supersymmetry, but will be shortly lifted by the addition of a magnetic field to realize the Landau levels. On the other hand, theory B has a Coulomb branch where the t ...

2+1 Abelian `Gauge Theory' Inspired by Ideal Hydrodynamics

... versions of diffeomorphism groups.c In the case of a multimatrix model, the group is, roughly speaking, an automorphism group of a tensor algebra. The Lie algebra is a Cuntz-type algebra which can be thought of as an algebra of vector fields on a noncommutative space.12,5,6,13,14 However, it is stil ...

... versions of diffeomorphism groups.c In the case of a multimatrix model, the group is, roughly speaking, an automorphism group of a tensor algebra. The Lie algebra is a Cuntz-type algebra which can be thought of as an algebra of vector fields on a noncommutative space.12,5,6,13,14 However, it is stil ...

Physical Mathematics and the Future

... The use of the term “Physical Mathematics” in contrast to the more traditional “Mathematical Physics” by myself and others is not meant to detract from the venerable subject of Mathematical Physics but rather to delineate a smaller subfield characterized by questions and goals that are often motivat ...

... The use of the term “Physical Mathematics” in contrast to the more traditional “Mathematical Physics” by myself and others is not meant to detract from the venerable subject of Mathematical Physics but rather to delineate a smaller subfield characterized by questions and goals that are often motivat ...

arXiv:hep-th/9703136v1 19 Mar 1997

... This is an almost literal write-up of the 14 lectures I gave at the 1995 Les Houches school Quantum Symmetry, plus an extra lecture on BPS states and D-branes that summarizes some important developments that have taken place after the school. It should be regarded as a broad-brushed sketch of modern ...

... This is an almost literal write-up of the 14 lectures I gave at the 1995 Les Houches school Quantum Symmetry, plus an extra lecture on BPS states and D-branes that summarizes some important developments that have taken place after the school. It should be regarded as a broad-brushed sketch of modern ...

Thermal Brane Probes

... has not being limited to QCD. For instance another “natural” field where the power of the correspondence can be fully exploited is that of condensed matter physics. Indeed many interesting applications have been considered also in this direction (an excellent review on this topic can be found in Ref ...

... has not being limited to QCD. For instance another “natural” field where the power of the correspondence can be fully exploited is that of condensed matter physics. Indeed many interesting applications have been considered also in this direction (an excellent review on this topic can be found in Ref ...

The Confinement Problem in Lattice Gauge Theory

... Yang-Mills theories. While the original AdS/CFT work on confinement was limited to certain supersymmetric theories at strong couplings, it is hoped that these (or related) ideas about duality may eventually transcend those limitations. Lattice investigations, from the point of view of hadronic physi ...

... Yang-Mills theories. While the original AdS/CFT work on confinement was limited to certain supersymmetric theories at strong couplings, it is hoped that these (or related) ideas about duality may eventually transcend those limitations. Lattice investigations, from the point of view of hadronic physi ...

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 ...

Untitled

... course. We are providing a variety of topics so that the lecturer may pick and choose the chapters that are most topical and are of interest. We have written Part HI to leave as much discretion as possible for the lecturer in using this material. The approach that we have taken in our book differs f ...

... course. We are providing a variety of topics so that the lecturer may pick and choose the chapters that are most topical and are of interest. We have written Part HI to leave as much discretion as possible for the lecturer in using this material. The approach that we have taken in our book differs f ...

ThesisBertVercnocke Cover - Departement Natuurkunde en

... that arise as low energy limits of string theory. Two main topics concerning black holes are treated, a third topic does not concern black holes. First, the structure of the equations of motion underlying black hole solutions is considered. String theory and the low energy gravity theories that foll ...

... that arise as low energy limits of string theory. Two main topics concerning black holes are treated, a third topic does not concern black holes. First, the structure of the equations of motion underlying black hole solutions is considered. String theory and the low energy gravity theories that foll ...