scholarly journals Two-dimensional supersymmetric gauge theories with exceptional gauge groups

2020 ◽  
Vol 24 (1) ◽  
pp. 67-123
Author(s):  
Zhuo Chen ◽  
Wei Gu ◽  
Hadi Parsian ◽  
Eric Sharpe
Keyword(s):  
Gauge Theories ◽  
Two Dimensional ◽  
Supersymmetric Gauge Theories ◽  
Gauge Groups ◽  
Supersymmetric Gauge

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.

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 String duals of two-dimensional (4, 4) supersymmetric gauge theories

2008 ◽  
Vol 2008 (12) ◽  
pp. 054-054 ◽  
Author(s):  
Daniel Areán ◽  
Paolo Merlatti ◽  
Carlos Núñez ◽  
Alfonso V Ramallo
Keyword(s):  
Gauge Theories ◽  
Two Dimensional ◽  
Supersymmetric Gauge Theories ◽  
Supersymmetric Gauge

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 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 The Cat’s Cradle: deforming the higher rank E1 and $$ {\tilde{E}}_1 $$ theories

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Oren Bergman ◽  
Diego Rodríguez-Gómez
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Gauge Theories ◽  
Dimensional Space ◽  
Global Symmetry ◽  
Two Dimensional ◽  
Supersymmetric Gauge Theories ◽  
Higher Rank ◽  
Supersymmetric Gauge

Abstract We use 5-brane webs to study the two-dimensional space of supersymmetric mass deformations of higher rank generalizations of the 5d E1 and $$ {\tilde{E}}_1 $$ E ˜ 1 theories. Some of the resulting IR phases are described by IR free supersymmetric gauge theories, while others correspond to interacting fixed points. The number of different phases appears to grow with the rank. The space of deformations is qualitatively different for the even and odd rank cases, but that of the even (odd) rank E1 theory is similar to that of the odd (even) rank $$ {\tilde{E}}_1 $$ E ˜ 1 theory. One result of our analysis predicts that the supersymmetric SU(N) theory with CS level k = $$ \frac{N}{2} $$ N 2 + 4 and a single massless antisymmetric hypermultiplet exhibits an enhanced global symmetry at the UV fixed point, given by SU(2) × SU(2) if N is even, and SU(2) × U(1) if N is odd.

scholarly journals Recent developments in 2d 𝒩 = (2,2) supersymmetric gauge theories

2016 ◽  
Vol 31 (26) ◽  
pp. 1630045 ◽  
Author(s):  
Daniel S. Park
Keyword(s):  
Gauge Theories ◽  
Two Dimensional ◽  
Supersymmetric Gauge Theories ◽  
Recent Developments ◽  
Supersymmetric Gauge

We review recent developments in two-dimensional [Formula: see text] supersymmetric gauge theories focusing on the implementation and applications of localization techniques.

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.

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