scholarly journals ON THE STRING ACTIONS FOR THE GENERALIZED TWO-DIMENSIONAL YANG-MILLS THEORIES

1996 ◽  
Vol 11 (20) ◽  
pp. 1675-1685 ◽  
Author(s):  
YUJI SUGAWARA
Keyword(s):  
Topological String ◽  
String Model ◽  
Partition Functions ◽  
Two Dimensional ◽  
Yang Mills ◽  
Large N

We study the structures of partition functions of the large-N generalized two-dimensional Yang-Mills theories (gY M2) by recasting the higher Casimirs. We clarify the appropriate interpretations of them and try to extend the Cordes-Moore-Ramgoolam’s topological string model describing the ordinary4Y M2 to those describing gY M2. We present the expressions of the appropriate operators to reproduce the higher Casimir terms in gY M2. The concept of “deformed gravitational descendants” will be introduced for this purpose.

scholarly journals UNIVERSAL ASPECTS OF TWO-DIMENSIONAL YANG-MILLS THEORY AT LARGE N

1996 ◽  
Vol 11 (10) ◽  
pp. 1733-1746 ◽  
Author(s):  
MICHAEL CRESCIMANNO ◽  
HOWARD J. SCHNITZER
Keyword(s):  
Functional Form ◽  
Weak Coupling Limit ◽  
Phase Portraits ◽  
Partition Functions ◽  
Two Dimensional ◽  
Fundamental Representation ◽  
Third Order ◽  
Expectation Value ◽  
Yang Mills ◽  
Large N

We show that the large N partition functions and Wilson loop observables of two-dimensional Yang-Mills theories admit a universal functional form irrespective of the gauge group. We demonstrate that U(N) QCD 2 undergoes a large N, third order phase transition on the projective plane at an area coupling product of π2/2. We use this as a lemma to provide a direct transcription for the partition functions and phase portraits of Yang-Mills theory from the U(N) on RP 2 at large N to the other classical Lie groups on S2. We compute the expectation value of the Wilson loops in the fundamental representation for SO (N) and Sp (N) on the two-sphere. Finally we compare the strong and weak coupling limit of these expressions with those found elsewhere in the literature.

scholarly journals BPS Quivers of Five-Dimensional SCFTs, Topological Strings and q-Painlevé Equations

2021 ◽  
Author(s):  
Giulio Bonelli ◽  
Fabrizio Del Monte ◽  
Alessandro Tanzini
Keyword(s):  
Topological String ◽  
Cluster Algebra ◽  
Painlevé Equations ◽  
Partition Functions ◽  
Quantum Field Theories ◽  
Particle Spectrum ◽  
Yang Mills ◽  
Painleve Equations ◽  
Rank One ◽  
Bilinear Equations

AbstractWe study the discrete flows generated by the symmetry group of the BPS quivers for Calabi–Yau geometries describing five-dimensional superconformal quantum field theories on a circle. These flows naturally describe the BPS particle spectrum of such theories and at the same time generate bilinear equations of q-difference type which, in the rank one case, are q-Painlevé equations. The solutions of these equations are shown to be given by grand canonical topological string partition functions which we identify with $$\tau $$ τ -functions of the cluster algebra associated to the quiver. We exemplify our construction in the case corresponding to five-dimensional SU(2) pure super Yang–Mills and $$N_f=2$$ N f = 2 on a circle.

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 Large-N behavior of the Wilson loops of generalized two-dimensional Yang–Mills theories

2006 ◽  
Vol 733 (1-2) ◽  
pp. 123-131 ◽  
Author(s):  
M. Khorrami ◽  
M. Alimohammadi
Keyword(s):  
Wilson Loops ◽  
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.

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