On Bulk Singularity Structures and all order ${\alpha }^{\prime }$ Contact Terms of BPS String Amplitudes

Abstract

The entire form of the amplitude of three SYM ( involving two transverse scalar fields, a gauge field) and a potential $C_{n-1}$ Ramond-Ramond (RR) form field is found out. We first derive $<V_{C^{-2}}{V}_{A^0}{V}_{{\varphi }^0}{V}_{{\varphi }^0}>$ and then start constructing an infinite number of $t,s$ channel bulk singularity structures by means of all order ${\alpha }^{\prime }$ corrections to pull-back of brane in an Effective Field Theory (EFT). Due to presence of the complete form of S-matrix, several new contact interactions as well as new couplings are explored. It is also shown that these couplings can be verified at the level of EFT by either the combinations of Myers terms, pull-back, Taylor expanded of scalar fields or the mixed combination of the couplings of this paper as well as employed Bianchi identities. For the first time, we also derive the algebraic and the complete form of the integrations for some arbitrary combinations of Mandelstam variables and for the most general case $\int d^{2}z|1-z{|}^a|z{|}^b(z-\bar{z}{)}^c(z+\bar{z}{)}^3$ on upper half plane as well.

21 pages, Latex file, no figure, Published version in PLB

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Cited by in corpus (9)

• On SYM theory and all order Bulk Singularity Structures of BPS Strings in type II theory
• Remarks on Non-BPS String Amplitudes and Their All Order ${\alpha }^{\prime }$ Contact Interactions in IIB, IIA
• Highly Symmetric D-brane-Anti-D-brane Effective Actions
• On WZ and RR Couplings of BPS Branes and their all order ${\alpha }^{\prime }$ Corrections in IIB, IIA
• On All-Order Higher-Point $\text{D}p$-$\overline{\text{D}p}$ Effective Actions
• All Order ${\alpha }^{\prime }$ Corrections to Fermionic Couplings of D-brane-Anti-D-brane Effective Actions
• On Non-BPS Effective Actions of String Theory
• All-Order Quartic Couplings in Highly Symmetric D-brane-Anti-D-brane Systems
• On BPS World Volume, RR Couplings and their ${\alpha }^{\prime }$ Corrections in type IIB