On effective field theories with celestial duals

Ren, Lecheng; Spradlin, Marcus; Srikant, Akshay Yelleshpur; Volovich, Anastasia

doi:10.1007/jhep08(2022)251

On effective field theories with celestial duals

Journal Article · Thu Aug 25 00:00:00 EDT 2022 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep08(2022)251· OSTI ID:1907736

Ren, Lecheng ^[1]; Spradlin, Marcus ^[2]; Srikant, Akshay Yelleshpur ^[2]; Volovich, Anastasia ^[2]

Brown Univ., Providence, RI (United States); Brown University
Brown Univ., Providence, RI (United States)

We show that associativity of the tree-level OPE in a celestial CFT imposes constraints on the coupling constants of the corresponding bulk theory. These constraints are the same as those derived in [9] from the Jacobi identity of the algebra of soft modes. The constrained theories are interesting as apparently well-defined celestial CFTs with a deformed w_1+∞ symmetry algebra. We explicitly work out the ramifications of these constraints on scattering amplitudes involving gluons, gravitons and scalars in these theories. We find that all four-point amplitudes constructible solely from holomorphic or anti-holomorphic three-point amplitudes vanish on the support of these constraints, which implies that all purely holomorphic or purely anti-holomorphic higher-point amplitudes vanish.

View Accepted Manuscript (DOE)

Research Organization:: Brown Univ., Providence, RI (United States)

Sponsoring Organization:: Simons Foundation; USDOE Office of Science (SC)

Grant/Contract Number:: SC0010010

OSTI ID:: 1907736

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 8 Vol. 2022; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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