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Non Abelian T-duality in Gauged Linear Sigma Models

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3];  [4]
  1. Univ. de Guanajuato, Guanajuato (Mexico). Dept. de Fisica, Division de Ciencias e Ingenierias; Univ. of the Witwatersrand, Johannesburg (South Africa). Mandelstam Inst. for Theoretical Physics, School of Physics, and National Inst. for Theoretical Physics; University of Michigan
  2. Univ. de Guanajuato, Guanajuato (Mexico). Dept. de Fisica, Division de Ciencias e Ingenierias; Univ. Autonoma de Chiapas, Chiapas (Mexico). Investigador Catedra CONACyT, Facultad de Ciencias en Fisica y Matematicas
  3. Univ. of Michigan, Ann Arbor, MI (United States). Leinweber Center for Theoretical Physics, Randall Lab. of Physics; Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
  4. Univ. de Guanajuato, Guanajuato (Mexico). Dept. de Fisica, Division de Ciencias e Ingenierias; Univ. de Guanajuato, Guanajuato (Mexico). Dept. de Ciencias Naturales y Exactas
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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 global U(1) symmetry with the addition of appropriate Lagrange multipliers. For GLSMs with Abelian gauge groups and without superpotential we reproduce the dual models introduced by Hori and Vafa. We extend the construction to formulate non-Abelian T-duality on GLSMs with global non-Abelian symmetries. The equations of motion that lead to the dual model are obtained for a general group, they depend in general on semi-chiral superfields; for cases such as SU(2) they depend on twisted chiral superfields. We solve the equations of motion for an SU(2) gauged group with a choice of a particular Lie algebra direction of the vector superfield. This direction covers a non-Abelian sector that can be described by a family of Abelian dualities. The dual model Lagrangian depends on twisted chiral superfields and a twisted superpotential is generated. We explore some non-perturbative aspects by making an Ansatz for the instanton corrections in the dual theories. We verify that the effective potential for the U(1) field strength in a fixed configuration on the original theory matches the one of the dual theory. Imposing restrictions on the vector superfield, more general non-Abelian dual models are obtained. Finally, we analyze the dual models via the geometry of their susy vacua.
Research Organization:
University of Michigan, Ann Arbor, MI (United States)
Sponsoring Organization:
USDOE Office of Science (SC); USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0007859; SC0017808
OSTI ID:
1457332
Alternate ID(s):
OSTI ID: 1650575
OSTI ID: 22739407
OSTI ID: 1457686
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 4 Vol. 2018; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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A toolkit for twisted chiral superfields journal January 2020
A toolkit for twisted chiral superfields preprint January 2019

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