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Title: Heterotic sigma models on T 8 and the Borcherds automorphic form Φ 12

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 second-quantized 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:
 [1] ;  [2] ;  [2] ;  [3] ;  [2]
  1. Harvard Univ., Cambridge, MA (United States)
  2. Stanford Univ., Stanford, CA (United States)
  3. Stanford Univ., Stanford, CA (United States); Univ. of Padua, Padova (Italy); SLAC National Accelerator Lab., Menlo Park, CA (United States)
Publication Date:
Grant/Contract Number:
AC02-76SF00515
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 1029-8479
Publisher:
Springer Berlin
Research Org:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Superstring Vacua; Superstrings and Heterotic Strings
OSTI Identifier:
1407132

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., 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. 2017. "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 second-quantized 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}
}