Title: Gauge group topology of 8D Chaudhuri-Hockney-Lykken vacua

Abstract

Compactifications of the Chaudhuri-Hockney-Lykken (CHL) string to eight dimensions can be characterized by embeddings of root lattices into the rank 12 momentum lattice Λ_M, the so-called Mikhailov lattice. Based on these data, we devise a method to determine the global gauge group structure including all U(1) factors. The key observation is that, while the physical states correspond to vectors in the momentum lattice, the gauge group topology is encoded in its dual. Interpreting a nontrivial π₁(G) ≡ $$\mathscr{L}$$ for the non-Abelian gauge group G as having gauged a $$\mathscr{L}$$ 1-form symmetry, we also prove that all CHL gauge groups are free of a certain anomaly [1] that would obstruct this gauging. We verify this by explicitly computing $$\mathscr{L}$$ for all 8D CHL vacua with rank(G) = 10. Since our method applies also to T² compactifications of heterotic strings, we further establish a map that determines any CHL gauge group topology from that of a “parent” heterotic model.

Authors:

Cvetič, Mirjam; Dierigl, Markus ;

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• Search DOE PAGES for ORCID "0000-0003-4361-6182"
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Lin, Ling; Zhang, Hao Y.

• Search DOE PAGES for author "Zhang, Hao Y."
• Search DOE PAGES for ORCID "0000-0002-8271-4458"
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Publication Date:

2021-10-12

Research Org.:

Univ. of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Org.:

USDOE Office of Science (SC); Simons Foundation Collaboration; Slovenian Research Agency; Fay R. and Eugene L. Langberg Endowed Chair

OSTI Identifier:

1825347

Alternate Identifier(s):

OSTI ID: 1979928

Grant/Contract Number:  

SC013528Y; SC0013528; 724069; P1-0306

Resource Type:

Published Article

Journal Name:

Physical Review D

Additional Journal Information:

Journal Name: Physical Review D Journal Volume: 104 Journal Issue: 8; Journal ID: ISSN 2470-0010

Publisher:

American Physical Society

Country of Publication:

United States

Language:

English

Subject:

79 ASTRONOMY AND ASTROPHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; compactification; string dualities; strings and branes; discrete symmetries; symmetries; gauge symmetries