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

Volker Braun (Author), Mirjam Cvetič (Author), Ron Donagi (Author), Maximilian Poretschkin (Author)

Abstract

We provide the first explicit example of Type IIB string theory compactification on a globally defined Calabi-Yau threefold with torsion which results in a four-dimensional 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.

Keywords

string field theory;conformal field models;string theory;discrete symmetrie;Kvantna logika;Fizika elementarnih delcev;

Data

Language:	English
Year of publishing:	2017
Typology:	1.01 - Original Scientific Article
Organization:	UM - University of Maribor
UDC:	530.122.3
COBISS:	94082049
ISSN:	1029-8479
Views:	1328
Downloads:	357
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Slovenian
Secondary keywords:	teorija superstrun;kvantna logika;fizika elementarnih delcev;
URN:	URN:SI:UM:
Type (COBISS):	Scientific work
Pages:	ǂart. ǂ129
Issue:	ǂIssue ǂ7
Chronology:	jul. 2017
DOI:	10.1007/JHEP07(2017)129
ID:	10913240