A new twist on heterotic string compactifications

A rich pattern of gauge symmetries is found in the moduli space of heterotic string toroidal compactifications, at fixed points of the T-duality transformations. We analyze this pattern for generic tori, and scrutinize in full detail compactifications on a circle, where we find all the maximal gauge...

Descripción completa

Guardado en:
Detalles Bibliográficos
Publicado: 2018
Materias:
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2018_n9_p_Fraiman
http://hdl.handle.net/20.500.12110/paper_11266708_v2018_n9_p_Fraiman
Aporte de:
id paper:paper_11266708_v2018_n9_p_Fraiman
record_format dspace
spelling paper:paper_11266708_v2018_n9_p_Fraiman2023-06-08T16:09:00Z A new twist on heterotic string compactifications Gauge Symmetry Global Symmetries String Duality Superstrings and Heterotic Strings A rich pattern of gauge symmetries is found in the moduli space of heterotic string toroidal compactifications, at fixed points of the T-duality transformations. We analyze this pattern for generic tori, and scrutinize in full detail compactifications on a circle, where we find all the maximal gauge symmetry groups and the points where they arise. We present figures of two-dimensional slices of the 17-dimensional moduli space of Wilson lines and circle radii, showing the rich pattern of points and curves of symmetry enhancement. We then study the target space realization of the duality symmetry. Although the global continuous duality symmetries of dimensionally reduced heterotic supergravity are completely broken by the structure constants of the maximally enhanced gauge groups, the low energy effective action can be written in a manifestly duality covariant form using heterotic double field theory. As a byproduct, we show that a unique deformation of the generalized diffeomorphisms accounts for both SO(32) and E8 × E8 heterotic effective field theories, which can thus be considered two different backgrounds of the same double field theory even before compactification. Finally we discuss the spontaneous gauge symmetry breaking and Higgs mechanism that occurs when slightly perturbing the background fields, both from the string and the field theory perspectives. © 2018, The Author(s). 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2018_n9_p_Fraiman http://hdl.handle.net/20.500.12110/paper_11266708_v2018_n9_p_Fraiman
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Gauge Symmetry
Global Symmetries
String Duality
Superstrings and Heterotic Strings
spellingShingle Gauge Symmetry
Global Symmetries
String Duality
Superstrings and Heterotic Strings
A new twist on heterotic string compactifications
topic_facet Gauge Symmetry
Global Symmetries
String Duality
Superstrings and Heterotic Strings
description A rich pattern of gauge symmetries is found in the moduli space of heterotic string toroidal compactifications, at fixed points of the T-duality transformations. We analyze this pattern for generic tori, and scrutinize in full detail compactifications on a circle, where we find all the maximal gauge symmetry groups and the points where they arise. We present figures of two-dimensional slices of the 17-dimensional moduli space of Wilson lines and circle radii, showing the rich pattern of points and curves of symmetry enhancement. We then study the target space realization of the duality symmetry. Although the global continuous duality symmetries of dimensionally reduced heterotic supergravity are completely broken by the structure constants of the maximally enhanced gauge groups, the low energy effective action can be written in a manifestly duality covariant form using heterotic double field theory. As a byproduct, we show that a unique deformation of the generalized diffeomorphisms accounts for both SO(32) and E8 × E8 heterotic effective field theories, which can thus be considered two different backgrounds of the same double field theory even before compactification. Finally we discuss the spontaneous gauge symmetry breaking and Higgs mechanism that occurs when slightly perturbing the background fields, both from the string and the field theory perspectives. © 2018, The Author(s).
title A new twist on heterotic string compactifications
title_short A new twist on heterotic string compactifications
title_full A new twist on heterotic string compactifications
title_fullStr A new twist on heterotic string compactifications
title_full_unstemmed A new twist on heterotic string compactifications
title_sort new twist on heterotic string compactifications
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2018_n9_p_Fraiman
http://hdl.handle.net/20.500.12110/paper_11266708_v2018_n9_p_Fraiman
_version_ 1768543385676677120