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We describe non-Abelian T-dualities for $\mathcal{N} = 2$ two dimensional gauged linear sigma model (GLSM). We start with the case of left and right $(2, 2)$ supersymmetry (SUSY), $U(1)$ gauge group, and global non-Abelian symmetries. Our…

高能物理 - 理论 · 物理学 2024-04-24 Nana Cabo Bizet

Two dimensional gauged linear sigma models(GLSMs) with $(0,2)$ supersymmetry and $U(1)$ gauge group possesing global symmetries are considered. For the case obtained as a reduction from the $(2,2)$ supersymmetric GLSM, we find the Abelian…

高能物理 - 理论 · 物理学 2023-10-17 Nana Geraldine Cabo Bizet , Josué Díaz-Correa , Hugo García-Compeán

Abelian T-duality in Gauged Linear Sigma Models (GLSM) forms the basis of the physical understanding of Mirror Symmetry as presented by Hori and Vafa. We consider an alternative formulation of Abelian T-duality on GLSM's as a gauging of a…

高能物理 - 理论 · 物理学 2019-02-04 Nana Cabo Bizet , Aldo Martínez-Merino , Leopoldo A. Pando Zayas , Roberto Santos-Silva

We review the algebraic approach to super non-Abelian T-Duality considered in [1], focusing on symmetric and semi-symmetric coset spaces on $G/H$. We discuss a potential impediment, appearing in these models when integrating out the gauge…

高能物理 - 理论 · 物理学 2022-09-16 Daniele Bielli

The dynamics of abelian vector and antisymmetric tensor gauge fields can be described in terms of twisted self-duality equations. These first-order equations relate the p-form fields to their dual forms by demanding that their respective…

高能物理 - 理论 · 物理学 2015-05-28 Henning Samtleben

Toroidal orbifolds and their resolutions are described within the framework of (2,2) Gauged Linear Sigma Models (GLSMs). Our procedure describes two-tori as hypersurfaces in (weighted) projective spaces. The description is chosen such that…

高能物理 - 理论 · 物理学 2012-06-18 Michael Blaszczyk , Stefan Groot Nibbelink , Fabian Ruehle

We study the effect of T-duality on supersymmetry in the context of type II supergravity. For both U(1) Abelian and SU(2) non-Abelian T-duality, we demonstrate that the supersymmetry variations after T-duality are related to the variations…

高能物理 - 理论 · 物理学 2016-12-01 Özgür Kelekci , Yolanda Lozano , Niall T. Macpherson , Eoin Ó Colgáin

Applying advances in exact computations of supersymmetric gauge theories, we study the structure of correlation functions in two-dimensional N=(2,2) Abelian and non-Abelian gauge theories. We determine universal relations among correlation…

高能物理 - 理论 · 物理学 2018-08-01 Andreas Gerhardus , Hans Jockers , Urmi Ninad

We study various aspects of N=(2,2) supersymmetric non-Abelian gauge theories in two dimensions, with applications to string vacua. We compute the Witten index of SU(k) SQCD with N>0 flavors with twisted masses; the result is presented as…

高能物理 - 理论 · 物理学 2010-10-27 Kentaro Hori , David Tong

We carefully analyze the conditions for an abelian gauged linear sigma-model to exhibit nontrivial IR behavior described by a nonsingular superconformal field theory determining a superstring vacuum. This is done without reference to a…

高能物理 - 理论 · 物理学 2015-07-02 Paul S. Aspinwall , M. Ronen Plesser

We show how to implement T-duality along non-abelian isometries in backgrounds with non-vanishing Ramond fields. When the dimension of the isometry group is odd (even) the duality swaps (preserves) the chirality of the theory. In certain…

高能物理 - 理论 · 物理学 2011-02-03 Konstadinos Sfetsos , Daniel C. Thompson

A method for implementing non-Abelian duality on string backgrounds is given. It is shown that a direct generalisation of the familiar Abelian duality induces an extra local symmetry in the gauge invariant theory. The non-Abelian isometry…

高能物理 - 理论 · 物理学 2009-10-28 Noureddine Mohammedi

Acting with non-Abelian T-duality on the $S^3$ inside the $AdS_5$ subspace of $AdS_5\times S^5$ with $N$ units of flux, we generate a new half-BPS solution with $SU(2|4)$ symmetry that belongs to the Lin-Lunin-Maldacena class of geometries.…

高能物理 - 理论 · 物理学 2017-09-26 Yolanda Lozano , Carlos Nunez , Salomon Zacarias

For non-abelian non-supersymmetric gauge theories, generic dual theories have been constructed. In these theories the couplings appear inverted. However, they do not possess a Yang-Mills structure but rather are a kind of non-linear sigma…

高能物理 - 理论 · 物理学 2016-09-06 H. Garcia-Compean , O. Obregon , J. F. Plebanski , C. Ramirez

In this paper, we revisit the A-twisted gauged linear sigma models (GLSMs) whose geometric phases are complex K\"ahler supermanifolds. For abelian models without superpotentials we propose an explicit orbifold description of the…

高能物理 - 理论 · 物理学 2025-12-09 Hao Zou

Non-Abelian duality transformations built on non-semi-simple isometry groups are analysed. We first give the conditions under which the original non-linear sigma model and its non-Abelian dual are equivalent. The existence of an invariant…

高能物理 - 理论 · 物理学 2009-10-30 Noureddine Mohammedi

Local symmetries is one of the most successful themes in modern theoretical physics. Although they are usually associated to Lie algebras, a gradual increase of interest in more general situations where local symmetries are associated to…

高能物理 - 理论 · 物理学 2017-04-26 Athanasios Chatzistavrakidis

Global symmetries can be generalised to transformations generated by topological operators, including cases in which the topological operator does not have an inverse. A family of such topological operators are intimately related to…

高能物理 - 理论 · 物理学 2026-01-29 Guillermo Arias-Tamargo , Chris Hull , Maxwell L. Velásquez Cotini Hutt

We establish a double dualization in two-dimensional supersymmetric gauge theory. We construct a gauged linear sigma model (GLSM) which contains a complex twisted linear superfield coupled to two sets of Abelian vector superfields. In the…

高能物理 - 理论 · 物理学 2018-12-19 Tetsuji Kimura , Shin Sasaki , Kenta Shiozawa

We present $\mathcal{N}=2$ superconformal $\mathsf{U}(1)$ duality-invariant models for an Abelian vector multiplet coupled to conformal supergravity. In a Minkowski background, such a nonlinear theory is expected to describe (the planar…

高能物理 - 理论 · 物理学 2022-03-03 Sergei M. Kuzenko
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