Quantization of anomaly coefficients in 6D N = ( 1 , 0 ) supergravity

Monnier, Samuel; Moore, Gregory W.; Park, Daniel S.

doi:10.1007/jhep02(2018)020

Title: Quantization of anomaly coefficients in 6D $N = (1, 0)$ supergravity

Journal Article · 05 February 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep02(2018)020 · OSTI ID:1502365

Monnier, Samuel ^[1]; Moore, Gregory W. ^[2]; Park, Daniel S. ^[2]

Univ. of Geneva (Switzerland). Mathematics Section
Rutgers Univ., Piscataway, NJ (United States). NHETC. Dept. of Physics and Astronomy

We obtain new constraints on the anomaly coefficients of 6D $N = (1, 0)$ supergravity theories using local and global anomaly cancellation conditions. We show how these constraints can be strengthened if we assume that the theory is well-defined on any spin space-time with an arbitrary gauge bundle. We distinguish the constraints depending on the gauge algebra only from those depending on the global structure of the gauge group. Our main constraint states that the coefficients of the anomaly polynomial for the gauge group G should be an element of 2H⁴(BG; Z) $$\otimes$$ Λ _S where Λ _S is the unimodular string charge lattice. We show that the constraints in their strongest form are realized in F-theory compactifications. In the process, we identify the cocharacter lattice, which determines the global structure of the gauge group, within the homology lattice of the compactification manifold.

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Research Organization:: Rutgers Univ., Piscataway, NJ (United States); Univ. of Geneva (Switzerland)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); Swiss National Science Foundation (SNSF)

Grant/Contract Number:: SC0010008; 152812; 165666

OSTI ID:: 1502365

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 2; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited By (6)

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The Green-Schwarz Mechanism and Geometric Anomaly Relations in 2d (0,2) F-theory Vacua Weigand, Timo; Xu, Fengjun arXiv https://doi.org/10.48550/arxiv.1712.04456	text	January 2017
An infinite swampland of U(1) charge spectra in 6D supergravity theories Taylor, Washington; Turner, Andrew P. arXiv https://doi.org/10.48550/arxiv.1803.04447	text	January 2018
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Table 1(p. 5)

Table 2(p. 33)

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Title: Quantization of anomaly coefficients in 6D N = ( 1 , 0 ) supergravity

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