Geometric unification of Higgs bundle vacua
Abstract
Higgs bundles are a central tool used to study a range of intersecting brane systems in string compactifications. Solutions to the internal gauge theory equations of motion for the corresponding worldvolume theories of branes give rise to different low energy effective field theories. This has been heavily used in the study of M-theory on local G2 spaces and F-theory on local elliptically fibered Calabi-Yau fourfolds. In this paper we show that the 3D N = 1 effective field theory defined by M-theory on a local spin(7) space unifies the Higgs bundle data associated with 4D N = 1 M- and F-theory vacua. This 3D system appears as an interface with finite thickness between different 4D vacua. We develop the general formalism of M-theory on such local spin(7) spaces and build explicit interpolating solutions. This provides a complementary local gauge theory analysis of a recently proposed approach to constructing spin(7) spaces from generalized connected sums.
- Publication Date:
- Research Org.:
- Univ. of Pennsylvania, Philadelphia, PA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); Fay R. and Eugene L. Langberg Endowed Chair; Slovenian Research Agency; National Science Foundation (NSF); University of Pennsylvania
- OSTI Identifier:
- 1712795
- Alternate Identifier(s):
- OSTI ID: 1851816
- Grant/Contract Number:
- de-sc0013528; SC0013528; P1-0306; PHY-1756996
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 102 Journal Issue: 10; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Astronomy & Astrophysics; Physics; Compactification; Strings and branes; Geometry; M-theory; String phenomenology
Citation Formats
Cvetič, Mirjam, Heckman, Jonathan J., Rochais, Thomas B., Torres, Ethan, and Zoccarato, Gianluca. Geometric unification of Higgs bundle vacua. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.102.106012.
Cvetič, Mirjam, Heckman, Jonathan J., Rochais, Thomas B., Torres, Ethan, & Zoccarato, Gianluca. Geometric unification of Higgs bundle vacua. United States. https://doi.org/10.1103/PhysRevD.102.106012
Cvetič, Mirjam, Heckman, Jonathan J., Rochais, Thomas B., Torres, Ethan, and Zoccarato, Gianluca. Thu .
"Geometric unification of Higgs bundle vacua". United States. https://doi.org/10.1103/PhysRevD.102.106012.
@article{osti_1712795,
title = {Geometric unification of Higgs bundle vacua},
author = {Cvetič, Mirjam and Heckman, Jonathan J. and Rochais, Thomas B. and Torres, Ethan and Zoccarato, Gianluca},
abstractNote = {Higgs bundles are a central tool used to study a range of intersecting brane systems in string compactifications. Solutions to the internal gauge theory equations of motion for the corresponding worldvolume theories of branes give rise to different low energy effective field theories. This has been heavily used in the study of M-theory on local G2 spaces and F-theory on local elliptically fibered Calabi-Yau fourfolds. In this paper we show that the 3D N = 1 effective field theory defined by M-theory on a local spin(7) space unifies the Higgs bundle data associated with 4D N = 1 M- and F-theory vacua. This 3D system appears as an interface with finite thickness between different 4D vacua. We develop the general formalism of M-theory on such local spin(7) spaces and build explicit interpolating solutions. This provides a complementary local gauge theory analysis of a recently proposed approach to constructing spin(7) spaces from generalized connected sums.},
doi = {10.1103/PhysRevD.102.106012},
journal = {Physical Review D},
number = 10,
volume = 102,
place = {United States},
year = {Thu Nov 12 00:00:00 EST 2020},
month = {Thu Nov 12 00:00:00 EST 2020}
}
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