scholarly journals Partition function versus boundary conditions and confinement in the Yang-Mills theory

1998 ◽  
Vol 58 (8) ◽  
Author(s):  
N. A. Sveshnikov ◽  
E. G. Timoshenko
Keyword(s):  
Partition Function ◽  
Boundary Conditions ◽  
Function Versus ◽  
Yang Mills

scholarly journals Holographic and localization calculations of boundary F for $$ \mathcal{N} $$ = 4 SUSY Yang-Mills theory

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Mark Van Raamsdonk ◽  
Chris Waddell
Keyword(s):  
Renormalization Group ◽  
String Theory ◽  
Partition Function ◽  
Boundary Conditions ◽  
Half Space ◽  
Scale Invariance ◽  
Entanglement Entropy ◽  
Yang Mills ◽  
Hooft Coupling ◽  
Renormalization Group Flows

Abstract $$ \mathcal{N} $$ N = 4 Supersymmetric Yang-Mills (SYM) theory can be defined on a half-space with a variety of boundary conditions preserving scale invariance and half of the original supersymmetry; more general theories with the same symmetry can be obtained by coupling to a 3D SCFT at the boundary. Each of these theories is characterized by a quantity called “boundary F”, conjectured to decrease under boundary renormalization group flows. In this paper, we calculate boundary F for U(N) $$ \mathcal{N} $$ N = 4 SYM theory with the most general half-supersymmetric boundary conditions arising from string theory constructions with D3-branes ending on collections of D5-branes and/or NS5-branes. We first perform the calculation holographically by evaluating the entanglement entropy for a half-ball centered on the boundary using the Ryu-Takayanagi formula in the dual type IIB supergravity solutions. For boundary conditions associated with D3-branes ending on D5 branes only or NS5-branes only, we also calculate boundary F exactly by evaluating the hemisphere partition function using supersymmetric localization. The leading terms at large N in the supergravity and localization results agree exactly as a function of the t’ Hooft coupling λ.

scholarly journals Boundary conditions for SU(2) Yang-Mills on AdS 4

2012 ◽  
Vol 2012 (8) ◽  
Author(s):  
Dileep P. Jatkar ◽  
Jae-Hyuk Oh
Keyword(s):  
Boundary Conditions ◽  
Yang Mills

INVESTIGATION OF THE CONSTRAINTS ON TWISTED AND UNTWISTED YANG–MILLS THEORIES IN A SLAB

1991 ◽  
Vol 06 (31) ◽  
pp. 2893-2900
Author(s):  
A. R. LEVI
Keyword(s):  
Boundary Conditions ◽  
Periodic Boundary ◽  
Periodic Boundary Conditions ◽  
One Dimension ◽  
Yang Mills ◽  
Quantum Constraints

BRST is used to investigate the consistency of the quantum constraints for Yang–Mills theories based on twisted and untwisted SU (N) in a slab with periodic boundary conditions in one dimension.

scholarly journals Brane webs and random processes

2015 ◽  
Vol 30 (33) ◽  
pp. 1550202 ◽  
Author(s):  
Amer Iqbal ◽  
Babar A. Qureshi ◽  
Khurram Shabbir ◽  
Muhammad A. Shehper
Keyword(s):  
Partition Function ◽  
Boundary Conditions ◽  
Generating Function ◽  
Random Processes ◽  
Open String ◽  
Plane Partitions ◽  
Schur Process ◽  
String Amplitudes

We study (p, q) 5-brane webs dual to certain N M5-brane configurations and show that the partition function of these brane webs gives rise to cylindric Schur process with period N. This generalizes the previously studied case of period 1. We also show that open string amplitudes corresponding to these brane webs are captured by the generating function of cylindric plane partitions with profile determined by the boundary conditions imposed on the open string amplitudes.

scholarly journals TWO-DIMENSIONAL YANG-MILLS THEORIES ARE STRING THEORIES

1993 ◽  
Vol 08 (23) ◽  
pp. 2223-2235 ◽  
Author(s):  
STEPHEN G. NACULICH ◽  
HAROLD A. RIGGS ◽  
HOWARD J. SCHNITZER
Keyword(s):  
String Theory ◽  
Partition Function ◽  
Arbitrary Number ◽  
Closed String ◽  
Two Dimensional ◽  
Branched Covers ◽  
Yang Mills ◽  
String Worldsheet ◽  
String Theories

We show that two-dimensional SO (N) and Sp (N) Yang-Mills theories without fermions can be interpreted as closed string theories. The terms in the 1/N expansion of the partition function on an orientable or nonorientable manifold ℳ can be associated with maps from a string worldsheet onto ℳ. These maps are unbranched and branched covers of ℳ with an arbitrary number of infinitesimal worldsheet cross-caps mapped to points in ℳ. These string theories differ from SU (N) Yang-Mills string theory in that they involve odd powers of 1/N and require both orientable and nonorientable worldsheets.

THE FIRST DONALDSON INVARIANT AS THE WINDING NUMBER OF A NICOLAI MAP

1988 ◽  
Vol 03 (17) ◽  
pp. 1647-1650 ◽  
Author(s):  
P. MANSFIELD
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Partition Function ◽  
Relativistic Quantum ◽  
Quantum Field ◽  
Winding Number ◽  
Relativistic Quantum Field Theory ◽  
Yang Mills ◽  
Stochastic Map

We show that the first Donaldson invariant expressed by Witten as the partition function of a relativistic quantum field theory can be interpreted as the winding number of the stochastic map introduced by Nicolai in the context of supersymmetric Yang-Mills theories.

scholarly journals N=4 SUPERSYMMETRIC YANG–MILLS THEORY ON ORBIFOLD-T4/Z2

2001 ◽  
Vol 16 (07) ◽  
pp. 411-428 ◽  
Author(s):  
MASAO JINZENJI ◽  
TORU SASAKI
Keyword(s):  
Partition Function ◽  
K3 Surface ◽  
Twisted Sector ◽  
Yang Mills ◽  
Classical Geometry ◽  
Orbifold Construction

We derive the partition function of N=4 supersymmetric Yang–Mills theory on orbifold-T4/Z2. In classical geometry, K3 surface is constructed from the orbifold-T4/Z2. Along the same way as the orbifold construction, we construct the partition function of K3 surface from orbifold-T4/Z2. The partition function is given by the product of the contribution of the untwisted sector of T4/Z2, and that of the twisted sector of T4/Z2, i.e. [Formula: see text] curve blowup formula.

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