scholarly journals Wilson Loops in Antisymmetric Representations from Localization in Supersymmetric Gauge Theories

2018 ◽  
Vol 30 (07) ◽  
pp. 1840014
Author(s):  
Jorge G. Russo ◽  
Konstantin Zarembo
Keyword(s):  
Free Energy ◽  
Phase Transitions ◽  
Effective Mass ◽  
Wilson Loop ◽  
Gauge Theories ◽  
Wilson Loops ◽  
Two Phase ◽  
Fermi Distribution ◽  
Second Derivatives ◽  
Supersymmetric Gauge

Large-[Formula: see text] phase transitions occurring in massive [Formula: see text] theories can be probed by Wilson loops in large antisymmetric representations. The logarithm of the Wilson loop is effectively described by the free energy of a Fermi distribution and exhibits second-order phase transitions (discontinuities in the second derivatives) as the size of representation varies. We illustrate the general features of antisymmetric Wilson loops on a number of examples where the phase transitions are known to occur: [Formula: see text] SQCD with various mass arrangements and [Formula: see text] theory. As a byproduct, we solve planar [Formula: see text] SQCD with three independent mass parameters. This model has two effective mass scales and undergoes two phase transitions. In memory of Ludvig Dmitrievich Faddeev

scholarly journals Phases of five-dimensional supersymmetric gauge theories

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Leonardo Santilli
Keyword(s):  
Phase Diagram ◽  
Phase Transitions ◽  
Gauge Group ◽  
Gauge Theories ◽  
Wilson Loops ◽  
Supersymmetric Gauge Theories ◽  
Third Order ◽  
Large Sphere ◽  
Large Rank ◽  
Supersymmetric Gauge

Abstract Five-dimensional $$ \mathcal{N} $$ N = 1 theories with gauge group U(N), SU(N), USp(2N) and SO(N) are studied at large rank through localization on a large sphere. The phase diagram of theories with fundamental hypermultiplets is universal and characterized by third order phase transitions, with the exception of U(N), that shows both second and third order transitions. The phase diagram of theories with adjoint or (anti-)symmetric hypermultiplets is also determined and found to be universal. Moreover, Wilson loops in fundamental and antisymmetric representations of any rank are analyzed in this limit. Quiver theories are discussed as well. All the results substantiate the ℱ-theorem.

scholarly journals Wilson loops in 5d long quiver gauge theories

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Christoph F. Uhlemann
Keyword(s):  
Field Theory ◽  
Fixed Points ◽  
Wilson Loop ◽  
Gauge Theories ◽  
Internal Space ◽  
Wilson Loops ◽  
Expectation Values ◽  
Holographic Duals ◽  
Two Parameter ◽  
Supergravity Solution

Abstract Quiver gauge theories with a large number of nodes host a wealth of Wilson loop operators. Expectation values are obtained, using supersymmetric localization, for Wilson loops in the antisymmetric representations associated with each individual gauge node, for a sample of 5d long quiver gauge theories whose UV fixed points have holographic duals in Type IIB. The sample includes the TN theories and the results are uniformly given in terms of Bloch-Wigner functions. The holographic representation of the Wilson loops is identified. It comprises, for each supergravity solution, a two-parameter family of D3-branes which exactly reproduce the field theory results and identify points in the internal space with the faces of the associated 5-brane web. The expectation values of (anti)fundamental Wilson loops exhibit an enhanced scaling for many operators, which matches between field theory and supergravity.

D3/D5 SYSTEM AND HOLOGRAPHIC INTERFACE CFT

2013 ◽  
Vol 21 ◽  
pp. 159-160
Author(s):  
KOICHI NAGASAKI ◽  
SATOSHI YAMAGUCHI
Keyword(s):  
Gauge Theory ◽  
Potential Energy ◽  
Test Particle ◽  
Wilson Loop ◽  
Gauge Theories ◽  
The Other ◽  
Expectation Value ◽  
Fundamental String ◽  
Theory Result ◽  
Supersymmetric Gauge

We consider two [Formula: see text] supersymmetric gauge theories connected by an interface and the gravity dual of this system. This interface is expressed by a fuzzy funnel solution of Nahmfs equation in the gauge theory side. The gravity dual is a probe D5-brane in AdS5 × S5. The potential energy between this interface and a test particle is calculated in both the gauge theory side and the gravity side by the expectation value of a Wilson loop. In the gauge theory it is evaluated by just substituting the classical solution to the Wilson loop. On the other hand it is done by the on-shell action of the fundamental string stretched between the AdS boundary and the D5-brane in the gravity. We show the gauge theory result and the gravity one agree with each other.

scholarly journals Localization and duality for ABJM latitude Wilson loops

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Luca Griguolo ◽  
Luigi Guerrini ◽  
Itamar Yaakov
Keyword(s):  
Quantum Mechanics ◽  
Wilson Loop ◽  
Gauge Theories ◽  
Bound State ◽  
Three Dimensions ◽  
Wilson Loops ◽  
Vortex Loop ◽  
Coulomb Branch ◽  
Vortex Loops ◽  
Chern Simons

Abstract We investigate several aspects of BPS latitude Wilson loops in gauge theories in three dimensions with $$ \mathcal{N} $$ N ≥ 4 supersymmetry. We derive a matrix model for the bosonic latitude Wilson loop in ABJM using supersymmetric localization, and show how to extend the computation to more general Chern-Simons-matter theories. We then define latitude type Wilson and vortex loop operators in theories without Chern-Simons terms, and explore a connection to the recently derived superalgebra defining local Higgs and Coulomb branch operators in these theories. Finally, we identify a BPS loop operator dual to the bosonic latitude Wilson loop which is a novel bound state of Wilson and vortex loops, defined using a worldvolume supersymmetric quantum mechanics.

scholarly journals Wilson loops, confinement, and phase transitions in large N gauge theories from supergravity

1998 ◽  
Vol 1998 (06) ◽  
pp. 001-001 ◽  
Author(s):  
Andreas Brandhuber ◽  
Nissan Itzhaki ◽  
Jacob Sonnenschein ◽  
Shimon Yankielowicz
Keyword(s):  
Phase Transitions ◽  
Gauge Theories ◽  
Wilson Loops ◽  
Large N

scholarly journals PHASE TRANSITIONS IN WILSON LOOP CORRELATOR FROM INTEGRABILITY IN GLOBAL AdS

2012 ◽  
Vol 27 (01) ◽  
pp. 1250001 ◽  
Author(s):  
BENJAMIN A. BURRINGTON ◽  
LEOPLODO A. PANDO ZAYAS
Keyword(s):  
Phase Transitions ◽  
Minimal Surfaces ◽  
Wilson Loop ◽  
Wilson Loops ◽  
Minimal Area

We directly compute Wilson loop/Wilson loop correlators on ℝ × S 3 in AdS/CFT by constructing spacelike minimal surfaces that connect two spacelike circular contours on the boundary of global AdS that are separated by a spacelike interval. We compare these minimal surfaces to the disconnected "double cap" solutions both to regulate the area, and show when the connected/disconnected solution is preferred. We find that for sufficiently large Wilson loops no transition occurs because the Wilson loops cannot be sufficiently separated on the sphere. This may be considered an effect similar to the Hawking–Page transition: the size of the sphere introduces a new scale into the problem, and so one can expect phase transitions to depend on this data. To construct the minimal area solutions, we employ a reduction a la Arutyunov–Russo–Tseytlin (used by them for spinning strings), and rely on the integrability of the reduced set of equations to write explicit results.

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