On lightcone string field theory from Super Yang-Mills and holography

By D. Berenstein, H. Nastase. 2002

193 citations recorded by the source corpus.

We investigate the issues of holography and string interactions in the duality between SYM and the pp wave background. We argue that the Penrose diagram of the maximally supersymmetric pp-wave has a one dimensional boundary. This fact suggests that the holographic dual of the pp-wave can be described by a quantum mechanical system. We believe this quantum mechanical system should be formulated as a matrix model. From the SYM point of view this matrix model is built out of the lowest lying KK modes of the SYM theory on an $S^3$ compactification, and it relates to a wave which has been compactified along one of the null directions. String interactions are defined by finite time amplitudes on this matrix model. For closed strings they arise as in AdS-CFT, by free SYM diagrams. For open strings, they arise from the diagonalization of the hamiltonian to first order in perturbation theory. Estimates of the leading behaviour of amplitudes in SYM and string theory agree, although they are performed in very different regimes. Corrections are organized in powers of $1/(\mu \alpha ' p^+)^2$ and $g^2(\mu \alpha ' p^+)^4$.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/df1ee1d001094a6464b7a7d24373c805c197c34c

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Citations in the corpus

Superstring interactions in a pp -wave background (2002, background): “[4]). It has recently been proposed [ 5-7 ] to extend this duality to include string interactions.”
Tiny graviton matrix theory: DLCQ of IIB plane-wave string theory, a conjecture (2004, background): “…that the discrete light-cone quantization (DLCQ) of strings on the maximally supersymmetric type IIB plane-wave background in the sector with J units of lightcone momentum is a supersymmetric 0 + 1 dimensional U(J) gauge theory (quantum mechanics) with PSU(2|2)×PSU(2|2)×U(1) superalgebra.”
Operator mixing and the BMN correspondence (2002, background): “governed by two parameters [1,4,5, 6 ]: an effective gauge coupling �′ = g2 YMN/J 2 , and an”
A toy model for the AdS/CFT correspondence (2004, background): “Indeed, we can ask what is the physical reason that in the BMN limit of N = 4 SYM [23], the non-planar perturbation expansion for overlap terms in terms of traces behaves like an expansion in J4/N2 [22, 24, 25] with that particular power of J .”
Deformations of N = 4 SYM and integrable spin chain models (2004, background): “Indeed, this seems to be the natural setup to look for the holographic dual of the maximally supersymmetric plane wave in ten dimensions, as it is known that the conformal boundary of the geometry is one dimensional [42].”
Large N BPS states and emergent quantum gravity (2005, background): “If one looks at planar diagrams for single traces, this is the place where non-planarities become of order 1 [10, 11, 13].”
The dilatation operator of conformal N=4 super-Yang–Mills theory (2003, background): “In particular the number of fields of the two operators must be equal.”