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.

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 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 Notes on two-dimensional pure supersymmetric gauge theories

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Wei Gu ◽  
Eric Sharpe ◽  
Hao Zou
Keyword(s):  
Gauge Theory ◽  
Degrees Of Freedom ◽  
Gauge Theories ◽  
Universal Covering ◽  
Chiral Multiplet ◽  
Two Dimensional ◽  
Supersymmetric Gauge Theories ◽  
Gauge Groups ◽  
Pure Gauge ◽  
Supersymmetric Gauge

Abstract In this note we study IR limits of pure two-dimensional supersymmetric gauge theories with semisimple non-simply-connected gauge groups including SU(k)/ℤk, SO(2k)/ℤ2, Sp(2k)/ℤ2, E6/ℤ3, and E7/ℤ2 for various discrete theta angles, both directly in the gauge theory and also in nonabelian mirrors, extending a classification begun in previous work. We find in each case that there are supersymmetric vacua for precisely one value of the discrete theta angle, and no supersymmetric vacua for other values, hence supersymmetry is broken in the IR for most discrete theta angles. Furthermore, for the one distinguished value of the discrete theta angle for which supersymmetry is unbroken, the theory has as many twisted chiral multiplet degrees of freedom in the IR as the rank. We take this opportunity to further develop the technology of nonabelian mirrors to discuss how the mirror to a G gauge theory differs from the mirror to a G/K gauge theory for K a subgroup of the center of G. In particular, the discrete theta angles in these cases are considerably more intricate than those of the pure gauge theories studied in previous papers, so we discuss the realization of these more complex discrete theta angles in the mirror construction. We find that discrete theta angles, both in the original gauge theory and their mirrors, are intimately related to the description of centers of universal covering groups as quotients of weight lattices by root sublattices. We perform numerous consistency checks, comparing results against basic group-theoretic relations as well as with decomposition, which describes how two-dimensional theories with one-form symmetries (such as pure gauge theories with nontrivial centers) decompose into disjoint unions, in this case of pure gauge theories with quotiented gauge groups and discrete theta angles.

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 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.

scholarly journals Infinite-dimensional fermionic symmetry in supersymmetric gauge theories

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Thomas T. Dumitrescu ◽  
Temple He ◽  
Prahar Mitra ◽  
Andrew Strominger
Keyword(s):  
Ward Identity ◽  
Gauge Theories ◽  
Soft Photon ◽  
Supersymmetric Gauge Theories ◽  
Null Infinity ◽  
Infinite Dimensional ◽  
Charged Matter ◽  
Gauge Symmetries ◽  
Supersymmetric Gauge

Abstract We establish the existence of an infinite-dimensional fermionic symmetry in four-dimensional supersymmetric gauge theories by analyzing semiclassical photino dynamics in abelian $$ \mathcal{N} $$ N = 1 theories with charged matter. The symmetry is parametrized by a spinor-valued function on an asymptotic S2 at null infinity. It is not manifest at the level of the Lagrangian, but acts non-trivially on physical states, and its Ward identity is the soft photino theorem. The infinite-dimensional fermionic symmetry resides in the same $$ \mathcal{N} $$ N = 1 supermultiplet as the physically non-trivial large gauge symmetries associated with the soft photon theorem.

scholarly journals Finiteness of the two-loop matter contribution to the triple gauge-ghost vertices in N=1 supersymmetric gauge theories regularized by higher derivatives

2021 ◽  
Vol 104 (2) ◽  
Author(s):  
M. D. Kuzmichev ◽  
N. P. Meshcheriakov ◽  
S. V. Novgorodtsev ◽  
I. E. Shirokov ◽  
K. V. Stepanyantz
Keyword(s):  
Gauge Theories ◽  
Supersymmetric Gauge Theories ◽  
Higher Derivatives ◽  
Supersymmetric Gauge
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