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In this paper we outline some aspects of nonabelian gauged linear sigma models. First, we review how partial flag manifolds (generalizing Grassmannians) are described physically by nonabelian gauged linear sigma models, paying attention to…

高能物理 - 理论 · 物理学 2008-11-26 R. Donagi , E. Sharpe

We study a broad class of two dimensional gauged linear sigma models (GLSMs) with off-shell N=(2,2) supersymmetry that flow to nonlinear sigma models (NLSMs) on noncompact geometries with torsion. These models arise from coupling chiral,…

高能物理 - 理论 · 物理学 2015-07-15 P. Marcos Crichigno , Martin Roček

In this article we briefly survey some developments in gauged linear sigma models (GLSMs). Specifically, we give an overview of progress on constructions of GLSMs for various geometries, GLSM-based computations of quantum cohomology,…

高能物理 - 理论 · 物理学 2024-12-10 E. Sharpe

In this work we give a gauged linear sigma model (GLSM) realization of pairs of homologically projective dual Calabi-Yaus that have recently been constructed in the mathematics literature. Many of the geometries can be realized…

高能物理 - 理论 · 物理学 2019-12-18 Johanna Knapp , Eric Sharpe

We consider a U(1) Gauged Linear Sigma Model (GLSM) with (2,2) supersymmetry, leading to a susy vacua of the resolved conifold. It possesses the non-Abelian global symmetry SU(2)xSU(2). A non-Abelian T-duality can be constructed which can…

高能物理 - 理论 · 物理学 2022-01-03 Nana Geraldine Cabo Bizet , Yulier Jiménez Santana , Roberto Santos Silva

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

A particular form of non-linear $\sigma$-model, having a global gauge invariance, is studied. The detailed discussion on current algebra structures reveals the non-abelian nature of the invariance, with {\it{field dependent structure…

高能物理 - 理论 · 物理学 2009-11-11 Subir Ghosh

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

The Hofstadter model exemplifies a large class of physical systems characterized by particles hopping on a lattice immersed in a gauge field. Recent advancements on various synthetic platforms have enabled highly-controllable simulations of…

介观与纳米尺度物理 · 物理学 2022-09-15 Yi Yang , Hoi Chun Po , Vincent Liu , John D. Joannopoulos , Liang Fu , Marin Soljačić

In this paper we give gauged linear sigma model (GLSM) realizations of a number of geometries not previously presented in GLSMs. We begin by describing GLSM realizations of maps including Veronese and Segre embeddings, which can be applied…

高能物理 - 理论 · 物理学 2018-05-01 A. Caldararu , J. Knapp , E. Sharpe

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

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

Given a gauged linear sigma model (GLSM) $\mathcal{T}_{X}$ realizing a projective variety $X$ in one of its phases, i.e. its quantum K\"ahler moduli has a maximally unipotent point, we propose an \emph{extended} GLSM…

高能物理 - 理论 · 物理学 2022-04-25 Zhuo Chen , Jirui Guo , Mauricio Romo

In this short note we give an overview of recent work on string propagation on stacks and applications to gauged linear sigma models. We begin by outlining noneffective orbifolds (orbifolds in which a subgroup acts trivially) and related…

高能物理 - 理论 · 物理学 2010-05-03 E. Sharpe

We discuss the deformed sigma-model that arises when considering four-dimensional N=2 abelian vector multiplets in the presence of an arbitrary chiral background field. In addition, we allow for a class of deformations of special geometry…

高能物理 - 理论 · 物理学 2014-02-13 Gabriel Lopes Cardoso , Alvaro Veliz-Osorio

We construct defects describing the transition between different phases of gauged linear sigma models with higher rank abelian gauge groups, as well as defects embedding these phases into the GLSMs. Our construction refers entirely to the…

高能物理 - 理论 · 物理学 2024-12-09 Ilka Brunner , Daniel Roggenkamp , Christian P. M. Schneider

We gauge the (2,2) supersymmetric non-linear sigma model whose target space has bihermitian structure (g, B, J_{\pm}) with noncommuting complex structures. The bihermitian geometry is realized by a sigma model which is written in terms of…

高能物理 - 理论 · 物理学 2008-11-26 Willie Merrell , Leopoldo A. Pando Zayas , Diana Vaman

We consider gauged sigma-models from a Riemann surface into a Kaehler and hamiltonian G-manifold X. The supersymmetric N=2 theory can always be twisted to produce a gauged A-model. This model localizes to the moduli space of solutions of…

高能物理 - 理论 · 物理学 2009-04-30 J. M. Baptista

Gauged linear sigma models with (0,2) supersymmetry allow a larger choice of couplings than models with (2,2) supersymmetry. We use this freedom to find a fully linear construction of torsional heterotic compactifications, including models…

高能物理 - 理论 · 物理学 2015-05-28 Callum Quigley , Savdeep Sethi

We give a physical derivation of generalized Kahler geometry. Starting from a supersymmetric nonlinear sigma model, we rederive and explain the results of Gualtieri regarding the equivalence between generalized Kahler geometry and the…

高能物理 - 理论 · 物理学 2016-09-06 Andreas Bredthauer , Ulf Lindstrom , Jonas Persson , Maxim Zabzine
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