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Three point amplitudes in matrix theory

Dec 19, 2023

18 pages

Published in:

J.Phys.A 57 (2024) 16, 165401

Published: Apr 4, 2024

e-Print:

2312.12592 [hep-th]

DOI:

10.1088/1751-8121/ad389b

View in:

ADS Abstract Service

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Abstract: (IOP)

We compute the three graviton amplitude in the Banks-Fischler-Shenker-Susskind matrix model for M-theory. Even though the three point amplitude is determined by super Poincare invariance in eleven dimensional M-theory, it requires a non-trivial computation in the matrix model. We consider a configuration where all three gravitons carry non-zero longitudinal momentum. To simplify the problem, we compactify one additional dimension and relate the amplitude to a supersymmetric index computation. We find agreement with the expected answer even at finite values of N.

Note:

18 pages plus appendices, 5 figures. v2: typos corrected. v3: computed and matched the overall numerical coefficient

M-theory
string theory
scattering amplitudes
3-point amplitudes
dimension: 11
matrix model
graviton
gravitation
M-theory
Poincare

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