Matrix perturbation theory for M-theory on a PP-wave
By Keshav Dasgupta, M. Sheikh-Jabbari, Mark Van Raamsdonk. 2002
268 citations recorded by the source corpus.
In this paper, we study the matrix model proposed by Berenstein, Maldacena, and Nastase to describe M-theory on the maximally supersymmetric pp-wave. We show that the model may be derived directly as a discretized theory of supermembranes in the pp-wave background, or alternatively, from the dynamics of D0-branes in type-IIA string theory. We consider expanding the model about each of its classical supersymmetric vacua and note that for large values of the mass parameter μ, interaction terms are suppressed by powers of μ−1, so that the model may be studied in perturbation theory. We compute the exact spectrum about each of the vacua in the large-μ limit and find the complete (infinite) set of BPS states, which includes states preserving 2, 4, 6, 8, or 16 supercharges. Through explicit perturbative calculations, we then determine the effective coupling that controls the perturbation expansion for large μ and estimate the range of parameters and energies for which perturbation theory is valid.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/db928b9e6035eb1b5b54b2af9a5228e95258ae54
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In Nuclear and High Energy Physics
- M. Spradlin
- H. Verlinde
- Joaquim Gomis
- A. Volovich
- Mark Van Raamsdonk
- Diego Rodríguez-Gómez
- M. Sheikh-Jabbari
- J. Maldacena
Citations in the corpus
- Superstring interactions in a pp -wave background (2002, methodology): “matrix models for M-theory on the maximally supersymmetric pp-wave [ 13 ].”
- Tiny graviton matrix theory: DLCQ of IIB plane-wave string theory, a conjecture (2004, background): “This irreducible solution, which will be denoted by X = J vacuum, is indeed the giant graviton of [7, 16].”
- A Massive Study of M2-brane Proposals (2008, background): “In this case, for finite N , the field theory description (the plane-wave matrix model [44][45]) shows that the ground states are labeled simply by partitions of N , rather than labeled partitions.”