R-Symmetries and Curvature Constraints in A-Twisted Heterotic Landau–Ginzburg Models

Author:

Garavuso Richard S.1ORCID

Affiliation:

1. Department of Physical Sciences, Kingsborough Community College, The City University of New York, 2001 Oriental Boulevard, Brooklyn, NY 11235-2398, USA

Abstract

In this paper, we discuss various aspects of a class of A-twisted heterotic Landau–Ginzburg models on a Kähler variety X. We provide a classification of the R-symmetries in these models which allow the A-twist to be implemented, focusing on the case in which the gauge bundle is either a deformation of the tangent bundle of X or a deformation of a sub-bundle of the tangent bundle of X. Some anomaly-free examples are provided. The curvature constraint imposed by supersymmetry in these models when the superpotential is not holomorphic is reviewed. Constraints of this nature have been used to establish properties of analogues of pullbacks of Mathai–Quillen forms which arise in the correlation functions of the corresponding A-twisted or B-twisted heterotic Landau–Ginzburg models. The analogue most relevant to this paper is a deformation of the pullback of a Mathai–Quillen form. We discuss how this deformation may arise in the class of models studied in this paper. We then comment on how analogues of pullbacks of Mathai–Quillen forms not discussed in previous work may be obtained. Standard Mathai–Quillen formalism is reviewed in an appendix. We also include an appendix which discusses the deformation of the pullback of a Mathai–Quillen form.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),Astronomy and Astrophysics,Nuclear and High Energy Physics

Reference22 articles.

1. Phases of N=2 theories in two dimensions;Witten;Nucl. Phys. B,1993

2. (0,2) Landau-Ginzburg theory;Distler;Nucl. Phys. B,1994

3. (0,2) Duality;Adams;Adv. Theor. Math. Phys.,2004

4. Half-twisted (0,2) Landau-Ginzburg models;Melnikov;J. High Energy Phys.,2008

5. A-twisted heterotic Landau-Ginzburg models;Guffin;J. Geom. Phys.,2009

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3