On the plane-wave cubic vertex

Abstract

The exact bosonic Neumann matrices of the cubic vertex in plane-wave light-cone string field theory are derived using the contour integration techniques developed in our earlier paper. This simplifies the original derivation of the vertex. In particular, the Neumann matrices are written in terms of µ-deformed Gamma-functions, thus casting them into a form that elegantly generalizes the well-known flat-space solution. The asymptotics of the µ-deformed Gamma-functions allow one to determine the large-µ behaviour of the Neumann matrices including exponential corrections. We provide an explicit expression for the first exponential correction and make a conjecture for the subsequent exponential correction terms.

Impurity non-preserving 3-point correlators of BMN operators from PP-wave holography I: bosonic excitations

“…A possibility may be that the total sum of nonperturbative corrections on the Neumann functions might generate such logarithmic terms and cancel these corrections when m = 0. For possible subtleties of nonperturbative corrections, we refer the reader to [19] and also to [20]. Or, if such terms with nonzero m are not canceled on the string side, nonperturbative effects (or exact summation over the whole perturbation series) both on the gauge-theory side and on the string side might be responsible for complete understanding of string/gauge duality.…”

“…Collecting all these factors together, we conclude that the CFT coefficient is given as 20) where rs denotes the product over the contractions and the symbol (C…”

Two-charge small black hole entropy: string-loops and multi-strings

“…We are investigating the generalization of this formula to all n separately [24]. The result to be expected for large n, w may be…”

From spin vertex to string vertex

“…Therefore our Neumann coefficient from spin vertex is related to the Neumann coefficient in SFT [37,38] by a simple phase factor…”

“…When taking into account the radiative corrections there are two parts which receive corrections: the Neumann coefficients and the G-factor. The Neumann coefficients for ppwave string vertex were computed in [37] and [38] to all orders in 1/µ 2 . If the structure of the spin vertex holds at any order of coupling constant and one manage to establish the connection between the CFT and the SFT Neumann coefficients at any loop, then we can reproduce exponential part of the spin vertex at any coupling.…”