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Title: Type II string theory on Calabi-Yau manifolds with torsion and non-Abelian discrete gauge symmetries

Here, we provide the first explicit example of Type IIB string theory compactication on a globally defined Calabi-Yau threefold with torsion which results in a fourdimensional effective theory with a non-Abelian discrete gauge symmetry. Our example is based on a particular Calabi-Yau manifold, the quotient of a product of three elliptic curves by a fixed point free action of Z 2 X Z 2. Its cohomology contains torsion classes in various degrees. The main technical novelty is in determining the multiplicative structure of the (torsion part of) the cohomology ring, and in particular showing that the cup product of second cohomology torsion elements goes non-trivially to the fourth cohomology. This specifies a non-Abelian, Heisenberg-type discrete symmetry group of the four-dimensional theory.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. Elsenstrasse, Berlin (Germany)
  2. Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy; Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Mathematics; Univ. of Maribor (Slovenia). Center for Applied Mathematics and Theoretical Physics
  3. Univ. of Maribor (Slovenia). Center for Applied Mathematics and Theoretical Physics; Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Mathematics
  4. Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Mathematics
Publication Date:
Grant/Contract Number:
SC0013528; DMS 1603526; 390287
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Univ. of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; String Field Theory; Conformal Field Models in String Theory; Discrete Symmetries
OSTI Identifier:
1425671

Braun, Volker, Cvetič, Mirjam, Donagi, Ron, and Poretschkin, Maximilian. Type II string theory on Calabi-Yau manifolds with torsion and non-Abelian discrete gauge symmetries. United States: N. p., Web. doi:10.1007/JHEP07(2017)129.
Braun, Volker, Cvetič, Mirjam, Donagi, Ron, & Poretschkin, Maximilian. Type II string theory on Calabi-Yau manifolds with torsion and non-Abelian discrete gauge symmetries. United States. doi:10.1007/JHEP07(2017)129.
Braun, Volker, Cvetič, Mirjam, Donagi, Ron, and Poretschkin, Maximilian. 2017. "Type II string theory on Calabi-Yau manifolds with torsion and non-Abelian discrete gauge symmetries". United States. doi:10.1007/JHEP07(2017)129. https://www.osti.gov/servlets/purl/1425671.
@article{osti_1425671,
title = {Type II string theory on Calabi-Yau manifolds with torsion and non-Abelian discrete gauge symmetries},
author = {Braun, Volker and Cvetič, Mirjam and Donagi, Ron and Poretschkin, Maximilian},
abstractNote = {Here, we provide the first explicit example of Type IIB string theory compactication on a globally defined Calabi-Yau threefold with torsion which results in a fourdimensional effective theory with a non-Abelian discrete gauge symmetry. Our example is based on a particular Calabi-Yau manifold, the quotient of a product of three elliptic curves by a fixed point free action of Z2 X Z2. Its cohomology contains torsion classes in various degrees. The main technical novelty is in determining the multiplicative structure of the (torsion part of) the cohomology ring, and in particular showing that the cup product of second cohomology torsion elements goes non-trivially to the fourth cohomology. This specifies a non-Abelian, Heisenberg-type discrete symmetry group of the four-dimensional theory.},
doi = {10.1007/JHEP07(2017)129},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2017,
place = {United States},
year = {2017},
month = {7}
}