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 META-STABLE BRANE CONFIGURATIONS BY DUALIZING THE TWO GAUGE GROUPS

2010 ◽  
Vol 25 (06) ◽  
pp. 1185-1210
Author(s):  
CHANGHYUN AHN
Keyword(s):  
Gauge Group ◽  
Gauge Theories ◽  
Meson Field ◽  
Supersymmetric Gauge Theories ◽  
Gauge Groups ◽  
Interaction Term ◽  
Mass Terms ◽  
Supersymmetric Gauge ◽  
Electric Theory

We consider the [Formula: see text] supersymmetric gauge theories with product gauge groups. The two kinds of D6-branes in the electric theory are both displaced and rotated respectively where these deformations are interpreted as the mass terms and quartic terms for the two kinds of flavors. Then we apply the Seiberg dual to the whole gauge group factors by moving the branes and obtain the corresponding dual gauge theories. By analyzing the magnetic superpotentials consisting of an interaction term between a magnetic meson field and dual matters as well as the above deformations for each gauge group, we present the type IIA nonsupersymmetric meta-stable brane configurations.

scholarly journals Perturbative linearization of supersymmetric Yang-Mills theory

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Sudarshan Ananth ◽  
Olaf Lechtenfeld ◽  
Hannes Malcha ◽  
Hermann Nicolai ◽  
Chetan Pandey ◽  
...  
Keyword(s):  
Gauge Theories ◽  
Second Order ◽  
Coupling Constant ◽  
Supersymmetric Gauge Theories ◽  
Third Order ◽  
Yang Mills ◽  
Fresh Perspective ◽  
Supersymmetric Gauge ◽  
Jacobi Determinant

Abstract Supersymmetric gauge theories are characterized by the existence of a transformation of the bosonic fields (Nicolai map) such that the Jacobi determinant of the transformation equals the product of the Matthews-Salam-Seiler and Faddeev-Popov determinants. This transformation had been worked out to second order in the coupling constant. In this paper, we extend this result (and the framework itself ) to third order in the coupling constant. A diagrammatic approach in terms of tree diagrams, aiming to extend this map to arbitrary orders, is outlined. This formalism bypasses entirely the use of anti-commuting variables, as well as issues concerning the (non-)existence of off-shell formulations for these theories. It thus offers a fresh perspective on supersymmetric gauge theories and, in particular, the ubiquitous $$ \mathcal{N} $$ N = 4 theory.

scholarly journals MORE ON META-STABLE BRANE CONFIGURATIONS BY DUALIZING THE MULTIPLE GAUGE GROUPS

2010 ◽  
Vol 25 (04) ◽  
pp. 861-902
Author(s):  
CHANGHYUN AHN
Keyword(s):  
Group Theory ◽  
Gauge Group ◽  
Gauge Theories ◽  
Supersymmetric Gauge Theories ◽  
Gauge Groups ◽  
Mass Terms ◽  
Supersymmetric Gauge

We reexamine the [Formula: see text] supersymmetric gauge theories with product gauge groups by adding the mass terms and the quartic terms for the flavors: two-gauge group theory with fundamentals, bifundamentals and adjoints, three-gauge group theory with fundamentals and bifundamentals, and their orientifold 4-plane generalizations. By moving the branes appropriately, we obtain the corresponding dual gauge theories. By analyzing the dual superpotentials, we present the type IIA nonsupersymmetric meta-stable brane configurations.

NONRENORMALIZATION THEOREMS OF CHIRAL ANOMALIES AND FINITENESS IN SUPERSYMMETRIC YANG-MILLS THEORIES

1986 ◽  
Vol 01 (04) ◽  
pp. 913-942 ◽  
Author(s):  
O. PIGUET ◽  
K. SIBOLD
Keyword(s):  
Perturbation Theory ◽  
Gauge Group ◽  
Gauge Theories ◽  
Space Time ◽  
Supersymmetric Gauge Theories ◽  
Yang Mills ◽  
Supersymmetric Gauge

We prove a generalized nonrenormalization theorem for U(1) axial anomalies in rigid N=1 supersymmetric gauge theories in 4 space-time dimensions. The theorem implies one-loop criteria for β-functions vanishing to all orders of perturbation theory. The criteria are applicable to all N=1 theories with simple gauge group.

scholarly journals S-duality in N = 4 supersymmetric gauge theories with arbitrary gauge group

1996 ◽  
Vol 383 (4) ◽  
pp. 422-428 ◽  
Author(s):  
Nicholas Dorey ◽  
Christophe Fraser ◽  
Timothy J Hollowood ◽  
Marco A.C Kneipp
Keyword(s):  
Gauge Group ◽  
Gauge Theories ◽  
Supersymmetric Gauge Theories ◽  
Supersymmetric Gauge ◽  
Arbitrary Gauge

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 Singular BPS boundary conditions in $$ \mathcal{N} $$ = (2, 2) supersymmetric gauge theories

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Tadashi Okazaki ◽  
Douglas J. Smith
Keyword(s):  
String Theory ◽  
Boundary Conditions ◽  
Gauge Theories ◽  
Holomorphic Curve ◽  
Two Dimensional ◽  
Supersymmetric Gauge Theories ◽  
Special Lagrangian ◽  
Supersymmetric Gauge ◽  
M Theory

Abstract We derive general BPS boundary conditions in two-dimensional $$ \mathcal{N} $$ N = (2, 2) supersymmetric gauge theories. We analyze the solutions of these boundary conditions, and in particular those that allow the bulk fields to have poles at the boundary. We also present the brane configurations for the half- and quarter-BPS boundary conditions of the $$ \mathcal{N} $$ N = (2, 2) supersymmetric gauge theories in terms of branes in Type IIA string theory. We find that both A-type and B-type brane configurations are lifted to M-theory as a system of M2-branes ending on an M5-brane wrapped on a product of a holomorphic curve in ℂ2 with a special Lagrangian 3-cycle in ℂ3.

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