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

Braun, Volker; Cvetič, Mirjam; Donagi, Ron; Poretschkin, Maximilian

doi:10.1007/JHEP07(2017)129

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

Journal Article · Wed Jul 26 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP07(2017)129· OSTI ID:1425671

Braun, Volker ^[1]; Cvetič, Mirjam ^[2]; Donagi, Ron ^[3]; Poretschkin, Maximilian ^[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

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.

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Research Organization:: Univ. of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0013528; DMS 1603526; 390287

OSTI ID:: 1425671

Journal Information:: Journal of High Energy Physics (Online), Vol. 2017, Issue 7; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 3 works

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References (21)

F-theory on all toric hypersurface fibrations and its Higgs branches Klevers, Denis; Mayorga Peña, Damián Kaloni; Oehlmann, Paul-Konstantin Journal of High Energy Physics, Vol. 2015, Issue 1 https://doi.org/10.1007/JHEP01(2015)142	journal	January 2015
RR photons Cámara, Pablo G.; Ibáñez, Luis E.; Marchesano, Fernando Journal of High Energy Physics, Vol. 2011, Issue 9 https://doi.org/10.1007/JHEP09(2011)110	journal	September 2011
Non-Abelian discrete gauge symmetries in 4d string models Berasaluce-González, M.; Cámara, P. G.; Marchesano, F. Journal of High Energy Physics, Vol. 2012, Issue 9 https://doi.org/10.1007/JHEP09(2012)059	journal	September 2012
F-theory on genus-one fibrations Braun, Volker; Morrison, David R. Journal of High Energy Physics, Vol. 2014, Issue 8 https://doi.org/10.1007/JHEP08(2014)132	journal	August 2014
Discrete gauge symmetries in D-brane models Berasaluce-González, Mikel; Ibáñez, Luis E.; Soler, Pablo Journal of High Energy Physics, Vol. 2011, Issue 12 https://doi.org/10.1007/JHEP12(2011)113	journal	December 2011
On discrete symmetries and torsion homology in F-theory Mayrhofer, Christoph; Palti, Eran; Till, Oskar Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)029	journal	June 2015
Calabi–Yau threefolds of quotient type Oguiso, Keiji; Sakurai, Jun Asian Journal of Mathematics, Vol. 5, Issue 1 https://doi.org/10.4310/AJM.2001.v5.n1.a5	journal	January 2001
Discrete gauge symmetries in discrete MSSM-like orientifolds Ibáñez, L. E.; Schellekens, A. N.; Uranga, A. M. Nuclear Physics B, Vol. 865, Issue 3 https://doi.org/10.1016/j.nuclphysb.2012.08.008	journal	December 2012
On the Structure of a Certain Class of Kaehler Varieties Igusa, Jun-Ichi American Journal of Mathematics, Vol. 76, Issue 3 https://doi.org/10.2307/2372709	journal	July 1954
F-theory vacua with $Z_{3}$ gauge symmetry Cvetič, Mirjam; Donagi, Ron; Klevers, Denis Nuclear Physics B, Vol. 898 https://doi.org/10.1016/j.nuclphysb.2015.07.011	journal	September 2015
Non-Abelian discrete gauge symmetries in F-theory Grimm, Thomas W.; Pugh, Tom G.; Regalado, Diego Journal of High Energy Physics, Vol. 2016, Issue 2 https://doi.org/10.1007/JHEP02(2016)066	journal	February 2016
On orbifolds with discrete torsion Vafa, Cumrun; Witten, Edward Journal of Geometry and Physics, Vol. 15, Issue 3 https://doi.org/10.1016/0393-0440(94)00048-9	journal	February 1995
On the number of chiral generations in Z2×Z2 orbifolds Donagi, Ron; Faraggi, Alon E. Nuclear Physics B, Vol. 694, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2004.06.009	journal	August 2004
Dibaryons, branes, and strings in AdS orbifold models Gukov, Sergei; Rangamani, Mukund; Witten, Edward Journal of High Energy Physics, Vol. 1998, Issue 12 https://doi.org/10.1088/1126-6708/1998/12/025	journal	December 1998
Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics Hanany, Amihay; Witten, Edward Nuclear Physics B, Vol. 492, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)80030-2	journal	May 1997
Yukawas and discrete symmetries in F-theory compactifications without section García-Etxebarria, Iñaki; Grimm, Thomas W.; Keitel, Jan Journal of High Energy Physics, Vol. 2014, Issue 11 https://doi.org/10.1007/JHEP11(2014)125	journal	November 2014
On orbifolds and free fermion constructions Donagi, Ron; Wendland, Katrin Journal of Geometry and Physics, Vol. 59, Issue 7 https://doi.org/10.1016/j.geomphys.2009.04.004	journal	July 2009
Physics of F-theory compactifications without section Anderson, Lara B.; García-Etxebarria, Iñaki; Grimm, Thomas W. Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)156	journal	December 2014
Discrete gauge symmetries by Higgsing in four-dimensional F-theory compactifications Mayrhofer, Christoph; Palti, Eran; Till, Oskar Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)068	journal	December 2014
Pin(2)-Equivariant Seiberg-Witten Floer homology and the Triangulation Conjecture Manolescu, Ciprian Journal of the American Mathematical Society, Vol. 29, Issue 1 https://doi.org/10.1090/jams829	journal	April 2015
Worldsheet instantons and torsion curves. Part A: direct computation Braun, Volker; Ovrut, Burt A.; Kreuzer, Maximilian Journal of High Energy Physics, Vol. 2007, Issue 10 https://doi.org/10.1088/1126-6708/2007/10/022	journal	October 2007

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