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Title: A d-dimensional stress tensor for Minkd+2 gravity

Abstract

We consider the tree-level scattering of massless particles in (d+2)-dimensional asymptotically flat spacetimes. The $$S$$ -matrix elements are recast as correlation functions of local operators living on a space-like cut $$M$$d of the null momentum cone. The Lorentz group SO(d + 1, 1) is nonlinearly realized as the Euclidean conformal group on $$M$$d. Operators of non-trivial spin arise from massless particles transforming in non-trivial representations of the little group SO(d), and distinguished operators arise from the soft-insertions of gauge bosons and gravitons. The leading soft-photon operator is the shadow transform of a conserved spin-one primary operator Ja, and the subleading soft-graviton operator is the shadow transform of a conserved spin-two symmetric traceless primary operator Tab. The universal form of the soft-limits ensures that Ja and Tab obey the Ward identities expected of a conserved current and energy momentum tensor in a Euclidean CFTd, respectively.

Authors:
 [1];  [2]
+ Show Author Affiliations
  1. Harvard Univ., Cambridge, MA (United States). Center for the Fundamental Laws of Nature
  2. Harvard Univ., Cambridge, MA (United States). Center for the Fundamental Laws of Nature, School of Natural Sciences, Inst. for Advanced Study
Publication Date:
Research Org.:
Harvard Univ., Cambridge, MA (United States). Inst. for Advanced Study, Princeton, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1505224
Grant/Contract Number:  
SC0007870; SC0009988
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: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal Field Theory; Field Theories in Higher Dimensions; Models of Quantum Gravity; Scattering Amplitudes

Citation Formats

Kapec, Daniel, and Mitra, Prahar. A d-dimensional stress tensor for Minkd+2 gravity. United States: N. p., 2018. Web. doi:10.1007/jhep05(2018)186.
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Kapec, Daniel, & Mitra, Prahar. A d-dimensional stress tensor for Minkd+2 gravity. United States. https://doi.org/10.1007/jhep05(2018)186
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Kapec, Daniel, and Mitra, Prahar. Tue . "A d-dimensional stress tensor for Minkd+2 gravity". United States. https://doi.org/10.1007/jhep05(2018)186. https://www.osti.gov/servlets/purl/1505224.
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@article{osti_1505224,
title = {A d-dimensional stress tensor for Minkd+2 gravity},
author = {Kapec, Daniel and Mitra, Prahar},
abstractNote = {We consider the tree-level scattering of massless particles in (d+2)-dimensional asymptotically flat spacetimes. The $S$ -matrix elements are recast as correlation functions of local operators living on a space-like cut $M$d of the null momentum cone. The Lorentz group SO(d + 1, 1) is nonlinearly realized as the Euclidean conformal group on $M$d. Operators of non-trivial spin arise from massless particles transforming in non-trivial representations of the little group SO(d), and distinguished operators arise from the soft-insertions of gauge bosons and gravitons. The leading soft-photon operator is the shadow transform of a conserved spin-one primary operator Ja, and the subleading soft-graviton operator is the shadow transform of a conserved spin-two symmetric traceless primary operator Tab. The universal form of the soft-limits ensures that Ja and Tab obey the Ward identities expected of a conserved current and energy momentum tensor in a Euclidean CFTd, respectively.},
doi = {10.1007/jhep05(2018)186},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2018,
place = {United States},
year = {Tue May 29 00:00:00 EDT 2018},
month = {Tue May 29 00:00:00 EDT 2018}
}
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https://doi.org/10.1007/jhep05(2018)186
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    Works referencing / citing this record:

    Logarithmic terms in the soft expansion in four dimensions
    journal, October 2018

    Classical and quantum results on logarithmic terms in the soft theorem in four dimensions
    journal, February 2019

    Asymptotic symmetries and Weinberg’s soft photon theorem in Minkd+2
    journal, October 2019

    Null infinity and unitary representation of the Poincare group
    journal, January 2019

    The Asymptotic Structure of Gravity in Higher Even Dimensions
    preprint, January 2022

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