scholarly journals Large-N limit of the two-dimensional Yang–Mills theory on surfaces with boundaries

2004 ◽  
Vol 696 (1-2) ◽  
pp. 55-65 ◽  
Author(s):  
M. Alimohammadi ◽  
M. Khorrami
Keyword(s):  
Two Dimensional ◽  
Yang Mills ◽  
Large N

scholarly journals Testing the holographic principle using lattice simulations

2018 ◽  
Vol 175 ◽  
pp. 08004 ◽  
Author(s):  
Raghav G. Jha ◽  
Simon Catterall ◽  
David Schaich ◽  
Toby Wiseman
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Strong Coupling ◽  
Type Ii ◽  
Two Dimensional ◽  
Yang Mills ◽  
Large N ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Made In

The lattice studies of maximally supersymmetric Yang-Mills (MSYM) theory at strong coupling and large N is important for verifying gauge/gravity duality. Due to the progress made in the last decade, based on ideas from topological twisting and orbifolding, it is now possible to study these theories on the lattice while preserving an exact supersymmetry on the lattice. We present some results from the lattice studies of two-dimensional MSYM which is related to Type II supergravity. Our results agree with the thermodynamics of different black hole phases on the gravity side and the phase transition (Gregory–Laflamme) between them.

scholarly journals Large N universality of the two-dimensional Yang-Mills string

1995 ◽  
Vol 446 (1-2) ◽  
pp. 3-15 ◽  
Author(s):  
Michael Crescimanno ◽  
Stephen G. Naculich ◽  
Howard J. Schnitzer
Keyword(s):  
Two Dimensional ◽  
Yang Mills ◽  
Large N

scholarly journals Wilson loop for large N Yang-Mills theory on a two-dimensional sphere

1994 ◽  
Vol 335 (3-4) ◽  
pp. 371-376 ◽  
Author(s):  
Jean-Marc Daul ◽  
Vladimir A. Kazakov
Keyword(s):  
Wilson Loop ◽  
Dimensional Sphere ◽  
Two Dimensional ◽  
Yang Mills ◽  
Large N

scholarly journals STRING HAMILTONIAN FROM GENERALIZED YANG–MILLS GAUGE THEORY IN TWO DIMENSIONS

2004 ◽  
Vol 19 (02) ◽  
pp. 205-225 ◽  
Author(s):  
FLORIAN DUBATH ◽  
SIMONE LELLI ◽  
ANNA RISSONE
Keyword(s):  
Gauge Theory ◽  
String Theory ◽  
Space Time ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Bosonic Field ◽  
Standard Case ◽  
Free Fermions ◽  
Yang Mills ◽  
Large N

Two-dimensional SU (N) Yang–Mills theory is known to be equivalent to a string theory, as found by Gross in the large N limit, using the 1/N expansion. Later it was found that even a generalized YM theory leads to a string theory of the Gross type. In the standard YM theory case, Douglas and others found the string Hamiltonian describing the propagation and the interactions of states made of strings winding on a cylindrical space–time. We address the problem of finding a similar Hamiltonian for the generalized YM theory. As in the standard case we start by writing the theory as a theory of free fermions. Performing a bosonization, we express the Hamiltonian in terms of the modes of a bosonic field, that are interpreted as in the standard case as creation and destruction operators for states of strings winding around the cylindrical space–time. The result is similar to the standard Hamiltonian, but with new kinds of interaction vertices.

scholarly journals Large N Expansion of q-Deformed Two-Dimensional Yang-Mills Theory and Hecke Algebras

2007 ◽  
Vol 273 (2) ◽  
pp. 317-355 ◽  
Author(s):  
Sebastian de Haro ◽  
Sanjaye Ramgoolam ◽  
Alessandro Torrielli
Keyword(s):  
Hecke Algebras ◽  
Two Dimensional ◽  
Yang Mills ◽  
Large N ◽  
Large N Expansion

scholarly journals PERTURBATIVE VACUA FROM IIB MATRIX MODEL

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2279-2280
Author(s):  
HIKARU KAWAI ◽  
MATSUO SATO
Keyword(s):  
String Theory ◽  
Path Integral ◽  
Matrix Model ◽  
Moduli Space ◽  
Two Dimensional ◽  
Reduced Models ◽  
Yang Mills ◽  
Large N ◽  
Super Yang Mills Theory

It has not been clarified whether a matrix model can describe various vacua of string theory. In this talk, we show that the IIB matrix model includes type IIA string theory1. In the naive large N limit of the IIB matrix model, configurations consisting of simultaneously diagonalizable matrices form a moduli space, although the unique vacuum would be determined by complicated dynamics. This moduli space should correspond to a part of perturbatively stable vacua of string theory. Actually, one point on the moduli space represents type IIA string theory. Instead of integrating over the moduli space in the path-integral, we can consider each of the simultaneously diagonalizable configurations as a background and set the fluctuations of the diagonal elements to zero. Such procedure is known as quenching in the context of the large N reduced models. By quenching the diagonal elements of the matrices to an appropriate configuration, we show that the quenched IIB matrix model is equivalent to the two-dimensional large N [Formula: see text] super Yang-Mills theory on a cylinder. This theory is nothing but matrix string theory and is known to be equivalent to type IIA string theory. As a result, we find the manner to take the large N limit in the IIB matrix model.

scholarly journals STRING THEORETICAL INTERPRETATION FOR FINITE N YANG–MILLS THEORY IN TWO DIMENSIONS

2005 ◽  
Vol 20 (01) ◽  
pp. 29-41 ◽  
Author(s):  
TOSHIHIRO MATSUO ◽  
SO MATSUURA
Keyword(s):  
Asymptotic Expansion ◽  
Closed String ◽  
Two Dimensions ◽  
Perturbative Expansion ◽  
Target Space ◽  
Theoretical Interpretation ◽  
Two Dimensional ◽  
Yang Mills ◽  
Large N ◽  
Residual Part

We discuss the equivalence between a string theory and the two-dimensional Yang–Mills theory with SU (N) gauge group for finite N. We find a sector which can be interpreted as a sum of covering maps from closed string worldsheets to the target space, whose covering number is less than N. This gives an asymptotic expansion of 1/N whose large N limit becomes the chiral sector defined by Gross and Taylor. We also discuss that the residual part of the partition function provides the nonperturbative corrections to the perturbative expansion.

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