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Published October 2019 | Version Submitted + Published
Journal Article Open

New relation for Witten diagrams

Creators

  • 1. ROR icon Yale University
  • 2. ROR icon California Institute of Technology
  • 3. ROR icon International Centre for Theoretical Sciences
  • 4. ROR icon Williams College

Abstract

In this paper, we present a simple and iterative algorithm that computes Witten diagrams. We focus on the gauge correlators in AdS in four dimensions in momentum space. These new combinatorial relations will allow one to generate tree level amplitudes algebraically, without having to do any explicit bulk integrations; hence, leading to a simple method of calculating higher point gauge amplitudes.

Additional Information

© 2019 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: July 31, 2019; Revised: September 23, 2019; Accepted: October 11, 2019; Published: October 30, 2019. We would like to thank Paolo Benincasa, David Meltzer, and Sarthak Parikh for discussions. We also would like to thank Nima Arkani-Hamed and Paolo Benincasa for sharing the draft of their unpublished paper which tackles related problems. CC thanks R. Loganayagam and Suvrat Raju for discussions and guidance. All the figures were created in Tikz. SK was supported by DRFC Discretionary Funds from Williams College. SA is supported by NSF grant PHY-1350180 and Simons Foundation grant 488651.

Attached Files

Published - Albayrak2019_Article_NewRelationForWittenDiagrams.pdf

Submitted - 1904.10043.pdf

Files

1904.10043.pdf

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Additional details

Additional titles

Alternative title
New relation for AdS amplitudes

Identifiers

Eprint ID
100142
Resolver ID
CaltechAUTHORS:20191202-132202305

Related works

Describes
https://arxiv.org/abs/1904.10043 (URL)

Funding

Williams College
NSF
PHY-1350180
Simons Foundation
488651
SCOAP3

Dates

Created
2019-12-02
Created from EPrint's datestamp field
Updated
2021-11-16
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Walter Burke Institute for Theoretical Physics