scholarly journals On low rank classical groups in string theory, gauge theory and matrix models

2004 ◽  
Vol 682 (1-2) ◽  
pp. 45-82 ◽  
Author(s):  
Ken Intriligator ◽  
Per Kraus ◽  
Anton V Ryzhov ◽  
Masaki Shigemori ◽  
Cumrun Vafa
Keyword(s):  
Gauge Theory ◽  
String Theory ◽  
Matrix Models ◽  
Low Rank ◽  
Classical Groups

scholarly journals On the quantization of Seiberg-Witten geometry

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Nathan Haouzi ◽  
Jihwan Oh
Keyword(s):  
Gauge Theory ◽  
String Theory ◽  
Partition Function ◽  
Flat Space ◽  
Matter Content ◽  
Gauge Groups ◽  
Space Limit ◽  
Two Parameters ◽  
Double Quantization ◽  
Quantization Parameters

Abstract We propose a double quantization of four-dimensional $$ \mathcal{N} $$ N = 2 Seiberg-Witten geometry, for all classical gauge groups and a wide variety of matter content. This can be understood as a set of certain non-perturbative Schwinger-Dyson identities, following the program initiated by Nekrasov [1]. The construction relies on the computation of the instanton partition function of the gauge theory on the so-called Ω-background on ℝ4, in the presence of half-BPS codimension 4 defects. The two quantization parameters are identified as the two parameters of this background. The Seiberg-Witten curve of each theory is recovered in the flat space limit. Whenever possible, we motivate our construction from type IIA string theory.

scholarly journals String theory and the mapping of gravity into gauge theory

2003 ◽  
Vol 560 (1-2) ◽  
pp. 98-107 ◽  
Author(s):  
N.E.J. Bjerrum-Bohr
Keyword(s):  
Gauge Theory ◽  
String Theory

scholarly journals META-STABLE BRANE CONFIGURATIONS WITH MULTIPLE NS5-BRANES

2009 ◽  
Vol 24 (27) ◽  
pp. 5051-5120
Author(s):  
CHANGHYUN AHN
Keyword(s):  
Gauge Theory ◽  
String Theory ◽  
Gauge Group ◽  
Gauge Theories ◽  
The Other ◽  
Multiple Product

Starting from an [Formula: see text] supersymmetric electric gauge theory with the multiple product gauge group and the bifundamentals, we apply Seiberg dual to each gauge group, obtain the [Formula: see text] supersymmetric dual magnetic gauge theories with dual matters including the gauge singlets. Then we describe the intersecting brane configurations, where there are NS-branes and D4-branes (and anti-D4-branes), of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of this gauge theory. We also discuss the case where the orientifold 4-planes are added into the above brane configuration. Next, by adding an orientifold 6-plane, we apply to an [Formula: see text] supersymmetric electric gauge theory with the multiple product gauge group (where a single symplectic or orthogonal gauge group is present) and the bifundamentals. Finally, we describe the other cases where the orientifold 6-plane intersects with NS-brane.

scholarly journals Gravitational corrections in supersymmetric gauge theory and matrix models

2003 ◽  
Vol 2003 (03) ◽  
pp. 051-051 ◽  
Author(s):  
Albrecht Klemm ◽  
Marcos Mariño ◽  
Stefan Theisen
Keyword(s):  
Supersymmetric Gauge Theory ◽  
Gauge Theory ◽  
Matrix Models ◽  
Supersymmetric Gauge

scholarly journals STOKES PHENOMENA AND QUANTUM INTEGRABILITY IN NON-CRITICAL STRING/M THEORY

2013 ◽  
Vol 21 ◽  
pp. 147-148
Author(s):  
CHUAN-TSUNG CHAN ◽  
HIROTAKA IRIE ◽  
CHI-HSIEN YEH
Keyword(s):  
String Theory ◽  
Matrix Models ◽  
Recent Progress ◽  
Solvable Model ◽  
First Principle ◽  
Stokes Phenomenon ◽  
Quantum Integrability ◽  
Key Concepts ◽  
M Theory ◽  
Stokes Phenomena

Non-critical string/M theory is a solvable model which has been studied to reveal various non-perturbative aspects of string theory with providing new key concepts to the next developments of string theory. Here we show some recent progress in study of Stokes phenomenon in non-critical string theory of the multi-cut two-matrix models. In particular, we argue that it is Stokes phenomenon which allows us to know concepts of non-perturbative completion with analytic study of string-theory landscape from the first principle.

scholarly journals META-STABLE BRANE CONFIGURATION AND GAUGED FLAVOR SYMMETRY

2007 ◽  
Vol 22 (31) ◽  
pp. 2329-2341 ◽  
Author(s):  
CHANGHYUN AHN
Keyword(s):  
Gauge Theory ◽  
String Theory ◽  
Gauge Group ◽  
Flavor Symmetry ◽  
Group Factor

Starting from an [Formula: see text] supersymmetric electric gauge theory with the gauge group Sp (N c ) × SO (2N′ c ) with fundamentals for the first gauge group factor and a bifundamental, we apply Seiberg dual to the symplectic gauge group only and arrive at the [Formula: see text] supersymmetric dual magnetic gauge theory with dual matters including the gauge singlets and superpotential. By analyzing the F-term equations of the dual magnetic superpotential, we describe the intersecting brane configuration of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of this gauge theory.

String theory

2018 ◽  
Author(s):  
Ivan Kostov
Keyword(s):  
String Theory ◽  
Matrix Models ◽  
Topological Strings ◽  
Mirror Symmetry ◽  
Topological String ◽  
Enumerative Geometry ◽  
Topological String Theory ◽  
Superstring Theory ◽  
String Dualities ◽  
Supersymmetric Gauge

This article discusses the link between matrix models and string theory, giving emphasis on topological string theory and the Dijkgraaf–Vafa correspondence, along with applications of this correspondence and its generalizations to supersymmetric gauge theory, enumerative geometry, and mirror symmetry. The article first provides an overview of strings and matrices, noting that the correspondence between matrix models and string theory makes it possible to solve both non-critical strings and topological strings. It then describes some basic aspects of topological strings on Calabi-Yau manifolds and states the Dijkgraaf–Vafa correspondence, focusing on how it is connected to string dualities and how it can be used to compute superpotentials in certain supersymmetric gauge theories. In addition, it shows how the correspondence extends to toric manifolds and leads to a matrix model approach to enumerative geometry. Finally, it reviews matrix quantum mechanics and its applications in superstring theory.

scholarly journals DISCRETE NONCOMMUTATIVE GAUGE THEORY

2001 ◽  
Vol 16 (04n06) ◽  
pp. 367-386 ◽  
Author(s):  
RICHARD J. SZABO
Keyword(s):  
Gauge Theory ◽  
Matrix Models ◽  
Wilson Line ◽  
Morita Equivalence ◽  
Generic Properties ◽  
Gauge Invariant ◽  
Fundamental Matter ◽  
Generic Relation ◽  
Noncommutative Gauge Theory ◽  
Noncommutative Quantum

A review of the relationships between matrix models and noncommutative gauge theory is presented. A lattice version of noncommutative Yang–Mills theory is constructed and used to examine some generic properties of noncommutative quantum field theory, such as uv/ir mixing and the appearance of gauge-invariant open Wilson line operators. Morita equivalence in this class of models is derived and used to establish the generic relation between noncommutative gauge theory and twisted reduced models. Finite-dimensional representations of the quotient conditions for toroidal compactification of matrix models are thereby exhibited. The coupling of noncommutative gauge fields to fundamental matter fields is considered and a large mass expansion is used to study the properties of gauge-invariant observables. Morita equivalence with fundamental matter is also presented and used to prove the equivalence between the planar loop renormalizations in commutative and noncommutative quantum chromodynamics.

Sign in / Sign up

Export Citation Format

Share Document