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

Journal Article · 12 October 2021 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.104.086018 · OSTI ID:1825347

Cvetič, Mirjam ^[1]; Dierigl, Markus  ^[2]; Lin, Ling ^[3]; Zhang, Hao Y.  ^[4]

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1. University of Pennsylvania, Philadelphia, PA (United States); University of Mribor (Slovenia)
2. Ludwig Maximilian University of Munich, Munich (Germany)
3. European Organization for Nuclear Research (CERN), Geneva (Switzerland)
4. University of Pennsylvania, Philadelphia, PA (United States)

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.

• Research Organization: Univ. of Pennsylvania, Philadelphia, PA (United States)
• Sponsoring Organization: USDOE Office of Science (SC); Simons Foundation Collaboration; Slovenian Research Agency; Fay R. and Eugene L. Langberg Endowed Chair; USDOE
• Grant/Contract Number: SC0013528; 724069; P1-0306; SC013528Y
• OSTI ID: 1825347
• Alternate ID(s): OSTI ID: 1979928
• Journal Information: Physical Review. D., Vol. 104, Issue 8; ISSN 2470-0010
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English