Three point amplitudes in matrix theory

Herderschee, Aidan; Maldacena, Juan

doi:10.1088/1751-8121/ad389b

Title: Three point amplitudes in matrix theory

Journal Article · 03 April 2024 · Journal of Physics. A, Mathematical and Theoretical

DOI: https://doi.org/10.1088/1751-8121/ad389b · OSTI ID:2473256

Herderschee, Aidan ^[1];

^[2]

Institute for Advanced Study, Princeton, NJ (United States); Institute for Advanced Study
Institute for Advanced Study, Princeton, NJ (United States)

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. Here, we find agreement with the expected answer even at finite values of N.

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Research Organization:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009988

OSTI ID:: 2473256

Journal Information:: Journal of Physics. A, Mathematical and Theoretical, Journal Name: Journal of Physics. A, Mathematical and Theoretical Journal Issue: 16 Vol. 57; ISSN 1751-8113

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

References (52)

Exact results for perturbative partition functions of theories with SU(2\|4) symmetry Asano, Yuhma; Ishiki, Goro; Okada, Takashi Journal of High Energy Physics, Vol. 2013, Issue 2 https://doi.org/10.1007/JHEP02(2013)148	journal	February 2013
BPS spectrum, indices and wall crosscxhing in $ \mathcal{N} $ = 4 supersymmetric Yang-Mills theories Sen, Ashoke Journal of High Energy Physics, Vol. 2012, Issue 6 https://doi.org/10.1007/JHEP06(2012)164	journal	June 2012
What is the simplest quantum field theory? Arkani-Hamed, Nima; Cachazo, Freddy; Kaplan, Jared Journal of High Energy Physics, Vol. 2010, Issue 9 https://doi.org/10.1007/JHEP09(2010)016	journal	September 2010
Emergent bubbling geometries in gauge theories with SU(2\|4) symmetry Asano, Yuhma; Ishiki, Goro; Shimasaki, Shinji Journal of High Energy Physics, Vol. 2014, Issue 9 https://doi.org/10.1007/JHEP09(2014)137	journal	September 2014
On the ground state wave function of matrix theory Lin, Ying-Hsuan; Yin, Xi Journal of High Energy Physics, Vol. 2015, Issue 11 https://doi.org/10.1007/JHEP11(2015)027	journal	November 2015
Perturbative Gauge Theory as a String Theory in Twistor Space Witten, Edward Communications in Mathematical Physics, Vol. 252, Issue 1-3 https://doi.org/10.1007/s00220-004-1187-3	journal	October 2004
D -Particle Bound States and Generalized Instantons Moore, Gregory; Nekrasov, Nikita; Shatashvili, Samson Communications in Mathematical Physics, Vol. 209, Issue 1 https://doi.org/10.1007/s002200050016	journal	January 2000
D-Brane Bound States Redux Sethi, Savdeep; Stern, Mark Communications in Mathematical Physics, Vol. 194, Issue 3 https://doi.org/10.1007/s002200050374	journal	June 1998
A simple formalism for the BPS monopole Nahm, W. Physics Letters B, Vol. 90, Issue 4 https://doi.org/10.1016/0370-2693(80)90961-2	journal	March 1980
A current algebra for some gauge theory amplitudes Nair, V. P. Physics Letters B, Vol. 214, Issue 2 https://doi.org/10.1016/0370-2693(88)91471-2	journal	November 1988
Some properties of scattering amplitudes in supersymmetric theories Grisaru, M. T.; Pendleton, H. N. Nuclear Physics B, Vol. 124, Issue 1 https://doi.org/10.1016/0550-3213(77)90277-2	journal	June 1977
On the quantum mechanics of supermembranes de Wit, B.; Hoppe, J.; Nicolai, H. Nuclear Physics B, Vol. 305, Issue 4 https://doi.org/10.1016/0550-3213(88)90116-2	journal	December 1988
Topological amplitudes in string theory Antoniadis, I.; Gava, E.; Narain, K. S. Nuclear Physics B, Vol. 413, Issue 1-2 https://doi.org/10.1016/0550-3213(94)90617-3	journal	January 1994
Bound states of strings and p-branes Witten, Edward Nuclear Physics B, Vol. 460, Issue 2 https://doi.org/10.1016/0550-3213(95)00610-9	journal	February 1996
D-brane field theory on compact spaces Taylor, Washington Physics Letters B, Vol. 394, Issue 3-4 https://doi.org/10.1016/S0370-2693(97)00033-6	journal	February 1997
BPS nature of 3-string junctions Dasgupta, Keshav; Mukhi, Sunil Physics Letters B, Vol. 423, Issue 3-4 https://doi.org/10.1016/S0370-2693(98)00140-3	journal	March 1998
D-branes and short distances in string theory Douglas, Michael R.; Kabat, Daniel; Pouliot, Philippe Nuclear Physics B, Vol. 485, Issue 1-2 https://doi.org/10.1016/S0550-3213(96)00619-0	journal	February 1997
Matrix string theory Dijkgraaf, Robbert; Verlinde, Erik; Verlinde, Herman Nuclear Physics B, Vol. 500, Issue 1-3 https://doi.org/10.1016/S0550-3213(97)00326-X	journal	September 1997
D-branes, monopoles and Nahm equations Diaconescu, Duiliu-Emanuel Nuclear Physics B, Vol. 503, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00438-0	journal	October 1997
Branes, superpotentials and superconformal fixed points Aharony, Ofer; Hanany, Amihay Nuclear Physics B, Vol. 504, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00472-0	journal	October 1997
Witten index and threshold bound states of D-branes Yi, Piljin Nuclear Physics B, Vol. 505, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00486-0	journal	November 1997
A two-loop test of M(atrix) theory Becker, Katrin; Becker, Melanie Nuclear Physics B, Vol. 506, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00518-X	journal	November 1997
On the quantum mechanics of M (atrix) theory Plefka, Jan; Waldron, Andrew Nuclear Physics B, Vol. 512, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00762-1	journal	February 1998
Bound states at threshold in supersymmetric quantum mechanics Porrati, Massimo; Rozenberg, Alexander Nuclear Physics B, Vol. 515, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00804-3	journal	March 1998
Three-pronged strings and BPS states in N = 4 super-Yang-Mills theory Bergman, Oren Nuclear Physics B, Vol. 525, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00345-9	journal	August 1998
String webs and BPS monopoles Bergman, Oren; Kol, Barak Nuclear Physics B, Vol. 536, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00565-3	journal	December 1998
High-energy scattering and D-pair creation in Matrix string theory Giddings, Steven B.; Hacquebord, Feike; Verlinde, Herman Nuclear Physics B, Vol. 537, Issue 1-3 https://doi.org/10.1016/S0550-3213(98)00662-2	journal	January 1999
String interactions from Matrix string theory Bonelli, G.; Bonora, L.; Nesti, F. Nuclear Physics B, Vol. 538, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00729-9	journal	January 1999
Matrix string theory and its moduli space Bonelli, G.; Bonora, L.; Nesti, F. Nuclear Physics B, Vol. 554, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00271-0	journal	August 1999
Lectures on superstring and M theory dualities Schwarz, John H. Nuclear Physics B - Proceedings Supplements, Vol. 55, Issue 2 https://doi.org/10.1016/S0920-5632(97)00070-4	journal	May 1997
Heterotic strings from matrices Banks, Tom; Motl, Lubos Journal of High Energy Physics, Vol. 1997, Issue 12 https://doi.org/10.1088/1126-6708/1997/12/004	journal	December 1997
Webs of ( p , q ) 5-branes, five dimensional field theories and grid diagrams Aharony, Ofer; Hanany, Amihay; Kol, Barak Journal of High Energy Physics, Vol. 1998, Issue 01 https://doi.org/10.1088/1126-6708/1998/01/002	journal	January 1998
String network Sen, Ashoke Journal of High Energy Physics, Vol. 1998, Issue 03 https://doi.org/10.1088/1126-6708/1998/03/005	journal	March 1998
On asymptotic hamiltonian for SU(N) matrix theory Konechny, Anatoly Journal of High Energy Physics, Vol. 1998, Issue 10 https://doi.org/10.1088/1126-6708/1998/10/018	journal	October 1998
Thermal monopoles Kol, Barak Journal of High Energy Physics, Vol. 2000, Issue 07 https://doi.org/10.1088/1126-6708/2000/07/026	journal	July 2000
Strings in flat space and pp waves from Script N = 4 Super Yang Mills Berenstein, David; Maldacena, Juan; Nastase, Horatiu Journal of High Energy Physics, Vol. 2002, Issue 04 https://doi.org/10.1088/1126-6708/2002/04/013	journal	April 2002
Comments on gluon scattering amplitudes via AdS/CFT Alday, Luis F.; Maldacena, Juan Journal of High Energy Physics, Vol. 2007, Issue 11 https://doi.org/10.1088/1126-6708/2007/11/068	journal	November 2007
On tree amplitudes in gauge theory and gravity Arkani-Hamed, Nima; Kaplan, Jared Journal of High Energy Physics, Vol. 2008, Issue 04 https://doi.org/10.1088/1126-6708/2008/04/076	journal	April 2008
Partition functions of torsion >1 dyons in heterotic string theory onT⁶ Banerjee, Shamik; Sen, Ashoke; Srivastava, Yogesh K. Journal of High Energy Physics, Vol. 2008, Issue 05 https://doi.org/10.1088/1126-6708/2008/05/098	journal	May 2008
Wall crossing formula for 𝒩 = 4 dyons: a macroscopic derivation Sen, Ashoke Journal of High Energy Physics, Vol. 2008, Issue 07 https://doi.org/10.1088/1126-6708/2008/07/078	journal	July 2008
Generating tree amplitudes in 𝒩 = 4 SYM and 𝒩 = 8 SG Bianchi, Massimo; Elvang, Henriette; Freedman, Daniel Z. Journal of High Energy Physics, Vol. 2008, Issue 09 https://doi.org/10.1088/1126-6708/2008/09/063	journal	September 2008
Infrared Photons and Gravitons Weinberg, Steven Physical Review, Vol. 140, Issue 2B https://doi.org/10.1103/PhysRev.140.B516	journal	October 1965
Quantum Theory of Gravity. II. The Manifestly Covariant Theory DeWitt, Bryce S. Physical Review, Vol. 162, Issue 5 https://doi.org/10.1103/PhysRev.162.1195	journal	October 1967
M theory as a matrix model: A conjecture Banks, T.; Fischler, W.; Shenker, S. H. Physical Review D, Vol. 55, Issue 8 https://doi.org/10.1103/PhysRevD.55.5112	journal	April 1997
Membrane scattering withM-momentum transfer Polchinski, Joseph; Pouliot, Philippe Physical Review D, Vol. 56, Issue 10 https://doi.org/10.1103/PhysRevD.56.6601	journal	November 1997
Higher order graviton scattering inM(atrix)theory Becker, Katrin; Becker, Melanie; Polchinski, Joseph Physical Review D, Vol. 56, Issue 6 https://doi.org/10.1103/PhysRevD.56.R3174	journal	September 1997
Why Is the Matrix Model Correct? Seiberg, Nathan Physical Review Letters, Vol. 79, Issue 19 https://doi.org/10.1103/PhysRevLett.79.3577	journal	November 1997
Matrix TheorySMatrix Plefka, Jan C.; Serone, Marco; Waldron, Andrew K. Physical Review Letters, Vol. 81, Issue 14 https://doi.org/10.1103/PhysRevLett.81.2866	journal	October 1998
Direct Proof of the Tree-Level Scattering Amplitude Recursion Relation in Yang-Mills Theory Britto, Ruth; Cachazo, Freddy; Feng, Bo Physical Review Letters, Vol. 94, Issue 18 https://doi.org/10.1103/PhysRevLett.94.181602	journal	May 2005
M-Theory and the Light Cone Polchinski, Joseph Progress of Theoretical Physics Supplement, Vol. 134 https://doi.org/10.1143/PTPS.134.158	journal	January 1999
D0-branes on $T^n$ and matrix theory Sen, Ashoke Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 1 https://doi.org/10.4310/ATMP.1998.v2.n1.a2	journal	January 1998
Invariance theorems for supersymmetric Yang–Mills theories Sethi, Savdeep; Stern, Mark Advances in Theoretical and Mathematical Physics, Vol. 4, Issue 2 https://doi.org/10.4310/ATMP.2000.v4.n2.a8	journal	January 2000

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