On SYM theory and all order Bulk Singularity Structures of BPS Strings in type II theory

Abstract

The complete forms of the S-matrix elements of a transverse scalar field, two world volume gauge fields, and a Potential $C_{n-1}$ Ramond-Ramond (RR) form field are investigated. In order to find an infinite number of $t,s,(t+s+u)$-channel bulk singularity structures of this particular mixed open-closed amplitude, we employ all the conformal field theory techniques to $<V_{C^{-2}}{V}_{{\varphi }^0}{V}_{A^0}{V}_{A^0}>$, exploring all the entire correlation functions and all order ${\alpha }^{\prime }$ contact interactions to these supersymmetric Yang-Mills (SYM) couplings. Singularity and contact term comparisons with the other symmetric analysis, $<V_{C^{-1}}{V}_{{\varphi }^0}{V}_{A^{-1}}{V}_{A^0}>$ and $<V_{C^{-1}}{V}_{{\varphi }^{-1}}{V}_{A^0}{V}_{A^0}>$ are also carried out in detail. Various couplings from pull-Back of branes, Myers terms and several generalized Bianchi identities should be taken into account to be able to reconstruct all order ${\alpha }^{\prime }$ bulk singularities of type IIB (IIA) superstring theory. Finally, we make a comment on how to derive without any ambiguity all order ${\alpha }^{\prime }$ contact terms of this S-matrix which carry momentum of RR in transverse directions.

This paper is dedicated to the memory of Prof. Joe Polchinski, a very inspiring physicist, a great hero/ colleague/ sincere friend, a superb scientist and an amazing human being. Published version in NPB

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Cited by in corpus (4)

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• On Bulk Singularity Structures and all order ${\alpha }^{\prime }$ Contact Terms of BPS String Amplitudes
• All Order ${\alpha }^{\prime }$ Corrections to Fermionic Couplings of D-brane-Anti-D-brane Effective Actions