Type II string theory on CalabiYau manifolds with torsion and nonAbelian discrete gauge symmetries
Here, we provide the first explicit example of Type IIB string theory compactication on a globally defined CalabiYau threefold with torsion which results in a fourdimensional effective theory with a nonAbelian discrete gauge symmetry. Our example is based on a particular CalabiYau 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 nontrivially to the fourth cohomology. This specifies a nonAbelian, Heisenbergtype discrete symmetry group of the fourdimensional theory.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[4]}
 Elsenstrasse, Berlin (Germany)
 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
 Univ. of Maribor (Slovenia). Center for Applied Mathematics and Theoretical Physics; Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Mathematics
 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 10298479
 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 CalabiYau manifolds with torsion and nonAbelian 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 CalabiYau manifolds with torsion and nonAbelian 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 CalabiYau manifolds with torsion and nonAbelian 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 CalabiYau manifolds with torsion and nonAbelian 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 CalabiYau threefold with torsion which results in a fourdimensional effective theory with a nonAbelian discrete gauge symmetry. Our example is based on a particular CalabiYau 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 nontrivially to the fourth cohomology. This specifies a nonAbelian, Heisenbergtype discrete symmetry group of the fourdimensional 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}
}