Attractive strings and fivebranes, skewholomorphic Jacobi forms and moonshine
Abstract
We demonstrate that certain BPS counting functions for both fundamental strings and strings arising from fivebranes wrapping divisors in CalabiYau threefolds naturally give rise to skewholomorphic Jacobi forms at rational and attractor points in the moduli space of string compactifications. For M5branes wrapping divisors these are forms of weight negative one, and in the case of multiple M5branes skewholomorphic mock Jacobi forms arise. We further find that in simple examples these forms are related to skewholomorphic (mock) Jacobi forms of weight two that play starring roles in moonshine. We discuss examples involving M5branes on the complex projective plane, del Pezzo surfaces of degree one, and halfK3 surfaces. For del Pezzo surfaces of degree one and certain halfK3 surfaces we find a corresponding graded (virtual) module for the degree twelve Mathieu group. This proposes a more extensive relationship between Mathieu groups and complex surfaces, and a broader role for M5branes in the theory of Jacobi forms and moonshine.
 Authors:

 Univ. of Amsterdam, Amsterdam (Netherlands)
 Emory Univ., Atlanta, GA (United States)
 Harvard Univ., Cambridge, MA (United States); McGill Univ., Montreal, QC (Canada)
 Univ. of Chicago, Chicago, IL (United States)
 Stanford Univ., Palo Alto, CA (United States). Stanford Inst. for Theoretical Physics
 Publication Date:
 Research Org.:
 Harvard Univ., Cambridge, MA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP)
 OSTI Identifier:
 1505229
 Grant/Contract Number:
 SC0007870
 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: 2018; Journal Issue: 7; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; Black Holes in String Theory; Discrete Symmetries; MTheory; Superstrings and Heterotic Strings
Citation Formats
Cheng, Miranda C. N., Duncan, John F. R., Harrison, Sarah M., Harvey, Jeffrey A., Kachru, Shamit, and Rayhaun, Brandon C. Attractive strings and fivebranes, skewholomorphic Jacobi forms and moonshine. United States: N. p., 2018.
Web. doi:10.1007/jhep07(2018)130.
Cheng, Miranda C. N., Duncan, John F. R., Harrison, Sarah M., Harvey, Jeffrey A., Kachru, Shamit, & Rayhaun, Brandon C. Attractive strings and fivebranes, skewholomorphic Jacobi forms and moonshine. United States. https://doi.org/10.1007/jhep07(2018)130
Cheng, Miranda C. N., Duncan, John F. R., Harrison, Sarah M., Harvey, Jeffrey A., Kachru, Shamit, and Rayhaun, Brandon C. Thu .
"Attractive strings and fivebranes, skewholomorphic Jacobi forms and moonshine". United States. https://doi.org/10.1007/jhep07(2018)130. https://www.osti.gov/servlets/purl/1505229.
@article{osti_1505229,
title = {Attractive strings and fivebranes, skewholomorphic Jacobi forms and moonshine},
author = {Cheng, Miranda C. N. and Duncan, John F. R. and Harrison, Sarah M. and Harvey, Jeffrey A. and Kachru, Shamit and Rayhaun, Brandon C.},
abstractNote = {We demonstrate that certain BPS counting functions for both fundamental strings and strings arising from fivebranes wrapping divisors in CalabiYau threefolds naturally give rise to skewholomorphic Jacobi forms at rational and attractor points in the moduli space of string compactifications. For M5branes wrapping divisors these are forms of weight negative one, and in the case of multiple M5branes skewholomorphic mock Jacobi forms arise. We further find that in simple examples these forms are related to skewholomorphic (mock) Jacobi forms of weight two that play starring roles in moonshine. We discuss examples involving M5branes on the complex projective plane, del Pezzo surfaces of degree one, and halfK3 surfaces. For del Pezzo surfaces of degree one and certain halfK3 surfaces we find a corresponding graded (virtual) module for the degree twelve Mathieu group. This proposes a more extensive relationship between Mathieu groups and complex surfaces, and a broader role for M5branes in the theory of Jacobi forms and moonshine.},
doi = {10.1007/jhep07(2018)130},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2018,
place = {United States},
year = {2018},
month = {7}
}
Web of Science
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Works referencing / citing this record:
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