All-Order Quartic Couplings in Highly Symmetric D-brane-Anti-D-brane Systems

TL;DR

This paper calculates precise all-order couplings in the effective field theory of D-brane-anti-D-brane systems by analyzing six-point string amplitudes, revealing new insights into their structure and potential tensionless limits.

Contribution

It provides the exact form of quartic couplings in the EFT for D-brane-anti-D-brane systems, including numerical coefficients, and explores their relation to higher spin theories and tensionless limits.

Findings

Derived all-order couplings matching string amplitudes

Verified EFT reproduces stringy gauge singularities

Proposed tensionless limit inspired by higher spin dualities

Abstract

We compute six-point string amplitudes for the scattering of one closed string Ramond-Ramond state, two tachyons, and two gauge fields in the worldvolume of D-brane-anti-D-brane systems in the Type II superstring theories. From the resulting S-matrix elements, we read off the precise form of the couplings, including their exact numerical coefficients, of two tachyons and two gauge fields in the corresponding highly symmetric effective field theory (EFT) Lagrangian in the worldvolume of D-brane-Anti-D-brane to all orders in $\alpha'$, which modify and complete previous proposals. We verify that the EFT reproduces the infinite collection of stringy gauge field singularities in dual channels. Inspired by interesting similarities between the all-order highly symmetric EFTs and holographic duals of Vasiliev's higher spin gravities \`a l\`a Nilsson and Vasiliev, we make a proposal for tensionless limits of D-brane-anti-D-brane systems.