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Title: Electromagnetic duality and D3-brane scattering amplitudes beyond leading order

Abstract

We use on-shell methods to study the non-supersymmetric and supersymmetric low-energy S-matrix on a probe D3-brane, including both the 1-loop contributions of massless states as well as the effects of higher-derivative operators. Our results include: (1) A derivation of the duality invariance of Born-Infeld electrodynamics as the dimensional oxidation of the group of spatial rotations transverse to a probe M2-brane; this is done using a novel implementation of subtracted on-shell recursion. (2) The first explicit loop-level BCJ double-copy in a non-gravitational model, namely the calculation of the 4-point self-dual amplitude of non-supersymmetric Born-Infeld. (3) From previous results for n-point self-dual 1-loop BI amplitudes and the conjectured dimension-shifting relations in Yang-Mills, we obtain an explicit all-multiplicity, at all orders in E, expression for the 1-loop integrand of the MHV sector of N = 4 DBI. (4) For all n > 4, the explicitly integrated duality-violating 1-loop amplitudes (self-dual and next-to-self-dual in pure BI as well as MHV in N = 4 DBI) are shown to be removable at O(ε0) by adding finite local counterterms; we propose that this may be true more generally at 1-loop order. (5) We find that in non-supersymmetric Born-Infeld, not all finite local counterterms needed to restoremore » electromagnetic duality can be constructed using the double-copy with higher-derivative corrections, suggesting a fundamental tension between electromagnetic duality and color-kinematics duality at loop-level. Finally we comment on oxidation of duality symmetries in supergravity and the parallels it has to the M2-brane to D3-brane oxidation demonstrated in this paper.« less

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [1]; ORCiD logo [1]
  1. Univ. of Michigan, Ann Arbor, MI (United States)
  2. KTH Royal Inst. of Technology and Stockholm Univ. (Sweden)
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1863241
Alternate Identifier(s):
OSTI ID: 1851000
Grant/Contract Number:  
SC0007859
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: 2021; Journal Issue: 4; Journal ID: ISSN 1029-8479
Publisher:
Springer Nature
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Scattering Amplitudes; D-branes; Effective Field Theories; Physics

Citation Formats

Elvang, Henriette, Hadjiantonis, Marios, Jones, Callum R. T., and Paranjape, Shruti. Electromagnetic duality and D3-brane scattering amplitudes beyond leading order. United States: N. p., 2021. Web. doi:10.1007/jhep04(2021)173.
Elvang, Henriette, Hadjiantonis, Marios, Jones, Callum R. T., & Paranjape, Shruti. Electromagnetic duality and D3-brane scattering amplitudes beyond leading order. United States. https://doi.org/10.1007/jhep04(2021)173
Elvang, Henriette, Hadjiantonis, Marios, Jones, Callum R. T., and Paranjape, Shruti. Mon . "Electromagnetic duality and D3-brane scattering amplitudes beyond leading order". United States. https://doi.org/10.1007/jhep04(2021)173. https://www.osti.gov/servlets/purl/1863241.
@article{osti_1863241,
title = {Electromagnetic duality and D3-brane scattering amplitudes beyond leading order},
author = {Elvang, Henriette and Hadjiantonis, Marios and Jones, Callum R. T. and Paranjape, Shruti},
abstractNote = {We use on-shell methods to study the non-supersymmetric and supersymmetric low-energy S-matrix on a probe D3-brane, including both the 1-loop contributions of massless states as well as the effects of higher-derivative operators. Our results include: (1) A derivation of the duality invariance of Born-Infeld electrodynamics as the dimensional oxidation of the group of spatial rotations transverse to a probe M2-brane; this is done using a novel implementation of subtracted on-shell recursion. (2) The first explicit loop-level BCJ double-copy in a non-gravitational model, namely the calculation of the 4-point self-dual amplitude of non-supersymmetric Born-Infeld. (3) From previous results for n-point self-dual 1-loop BI amplitudes and the conjectured dimension-shifting relations in Yang-Mills, we obtain an explicit all-multiplicity, at all orders in E, expression for the 1-loop integrand of the MHV sector of N = 4 DBI. (4) For all n > 4, the explicitly integrated duality-violating 1-loop amplitudes (self-dual and next-to-self-dual in pure BI as well as MHV in N = 4 DBI) are shown to be removable at O(ε0) by adding finite local counterterms; we propose that this may be true more generally at 1-loop order. (5) We find that in non-supersymmetric Born-Infeld, not all finite local counterterms needed to restore electromagnetic duality can be constructed using the double-copy with higher-derivative corrections, suggesting a fundamental tension between electromagnetic duality and color-kinematics duality at loop-level. Finally we comment on oxidation of duality symmetries in supergravity and the parallels it has to the M2-brane to D3-brane oxidation demonstrated in this paper.},
doi = {10.1007/jhep04(2021)173},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2021,
place = {United States},
year = {Mon Apr 19 00:00:00 EDT 2021},
month = {Mon Apr 19 00:00:00 EDT 2021}
}

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