Heterotic sigma models on T ^{8} and the Borcherds automorphic form Φ _{12}
Abstract
Here, we consider the spectrum of BPS states of the heterotic sigma model with (0, 8) supersymmetry and T ^{8} target, as well as its secondquantized counterpart. We show that the counting function for such states is intimately related to Borcherds’ automorphic form Φ _{12}, a modular form which exhibits automorphy for O(2, 26; Ζ). Here, we comment on possible implications for Umbral moonshine and theories of AdS _{3} gravity.
 Authors:

 Harvard Univ., Cambridge, MA (United States)
 Stanford Univ., Stanford, CA (United States)
 Stanford Univ., Stanford, CA (United States); Univ. of Padua, Padova (Italy); SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Publication Date:
 Research Org.:
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1407132
 Grant/Contract Number:
 AC0276SF00515
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 10; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Superstring Vacua; Superstrings and Heterotic Strings
Citation Formats
Harrison, Sarah M., Kachru, Shamit, Paquette, Natalie M., Volpato, Roberto, and Zimet, Max. Heterotic sigma models on T8 and the Borcherds automorphic form Φ12. United States: N. p., 2017.
Web. doi:10.1007/jhep10(2017)121.
Harrison, Sarah M., Kachru, Shamit, Paquette, Natalie M., Volpato, Roberto, & Zimet, Max. Heterotic sigma models on T8 and the Borcherds automorphic form Φ12. United States. doi:10.1007/jhep10(2017)121.
Harrison, Sarah M., Kachru, Shamit, Paquette, Natalie M., Volpato, Roberto, and Zimet, Max. Wed .
"Heterotic sigma models on T8 and the Borcherds automorphic form Φ12". United States. doi:10.1007/jhep10(2017)121. https://www.osti.gov/servlets/purl/1407132.
@article{osti_1407132,
title = {Heterotic sigma models on T8 and the Borcherds automorphic form Φ12},
author = {Harrison, Sarah M. and Kachru, Shamit and Paquette, Natalie M. and Volpato, Roberto and Zimet, Max},
abstractNote = {Here, we consider the spectrum of BPS states of the heterotic sigma model with (0, 8) supersymmetry and T8 target, as well as its secondquantized counterpart. We show that the counting function for such states is intimately related to Borcherds’ automorphic form Φ12, a modular form which exhibits automorphy for O(2, 26; Ζ). Here, we comment on possible implications for Umbral moonshine and theories of AdS3 gravity.},
doi = {10.1007/jhep10(2017)121},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2017,
place = {United States},
year = {2017},
month = {10}
}
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