Superstring interactions in a pp -wave background

By M. Spradlin, A. Volovich. 2002

195 citations recorded by the source corpus.

We construct light-cone gauge superstring field theory in a pp-wave background with Ramond-Ramond flux. The leading term in the interaction Hamiltonian is determined up to an overall function of $p^+$ by requiring closure of the pp-wave superalgebra. The bosonic and fermionic Neumann matrices for this cubic vertex are derived, as is the interaction point operator. We comment on the development of a $1/\mu p^+$ expansion for these results.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/da5f6a210a2cb9e9d0116c4d68dc4228c50f9c97

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Citations in the corpus

On lightcone string field theory from Super Yang-Mills and holography (2002, methodology): “However, this is the limit where results are already available for splitting and joining amplitudes directly from string theory [35].”
The dilatation operator of conformal N=4 super-Yang–Mills theory (2003, background): “rs. 25 of the above equations, and turning around the suggestion in [35,48,49], we feel that it would be important to derive the above Hamiltonian in the string ﬁeld formulation of plane wave strings [50,51,52,53,54,55,56] or the (interpolating) string bit formulation of [57,58,59]. 6.2 Two loops Pr”
BMN Correlators and Operator Mixing in N=4 Super Yang-Mills Theory (2002, background): “ multi-string amplitudes should be extracted from the two-point functions of appropriately deﬁned multi-trace operators. Resolving these conﬂicting scenarios is diﬃcult since, despite recent progress [12,13,14,15,16,17,18,19,20,21], ﬁnding the string amplitudes from string ﬁeld theory proceeds slowl”
More comments on superstring interactions in the pp-wave background (2002, unknown): “(3.2) ∆8 [∑3 s=1 ps(σs) ] is the Delta-functional guaranteeing the continuous overlap of the string worldsheets in the interaction and ψ(pn(r)) is the harmonic oscillator wavefunction for occupation number n ψ(pn(r)) = (ωn(r)π α′ )−1/4 exp ( − α ′ (2ωn(r)) p2n(r) + √ 2α′ ωn(r) a†n(r)pn(r) − 1 2…”
PP-wave string interactions from perturbative Yang-Mills theory (2002, background): “We have also compared our proposal for the three-string vertex with the Green-Schwarz string field theory [10].”
The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability (2004, background): “Soon after the BMN proposal, it was demonstrated that also non-planar corrections can be taken into account in gauge theory [18, 19], they correspond to energy shifts due to string interactions [20].”
Tailoring three-point functions and integrability (2010, background): “The BMN limit might be a good starting point [29].”
Operator mixing and the BMN correspondence (2002, methodology): “Subsequently, the LHS of (1.3) was obtained in [ 7 ]”
Stringing Spins and Spinning Strings (2003, unknown): “∗also at ITEP, Moscow, Russia.”
A New Double-Scaling Limit of N = 4 Super Yang-Mills Theory and PP-Wave Strings (2002, background): “…involves a non-trivial scaling function ( JNJ sinh ( 1 2 J2 N ) 1 2 J2 N )− 1 2 Tr ZJ(x) (1.3) After establishing that the recipe (1.1) does not fully suppress non-planar diagrams we are immediately led to the following puzzling question: What, then, characterizes the classes of diagrams…”