Newtonian Gravitons and D-brane Collective Coordinates in Wound String Theory

TL;DR

The paper demonstrates that NCOS theories are embedded in Non-relativistic Wound string theory, with gravity realized through exceptional unwound strings that mediate instantaneous Newtonian forces off-shell but do not constitute asymptotic states. It shows that unwound strings furnish D-brane collective coordinates and that the Gomis–Ooguri worldsheet formulation accurately captures the unwound sector, including its subtle boundary cases. The work connects these worldsheet and spectrum results to supergravity duals, where long strings correspond to closed strings and short strings to open strings on branes, and discusses implications for Wrapped brane theories. Overall, it reframes gravity and gauge dynamics in a non-relativistic string setting and highlights nonlocal yet well-behaved holographic structures.

Abstract

Recently it was shown that NCOS theories are part of a ten-dimensional theory known as Non-relativistic Wound string theory. We clarify the sense in which gravity is present in this theory. We show that Wound string theory contains exceptional unwound strings, including a graviton, which mediate the previously discovered instantaneous long-range interactions, but are negligible as asymptotic states. Unwound strings also provide the expected collective coordinates for the transverse D-branes in the theory. These and other results are shown to follow both from a direct analysis of the effect of the NCOS limit on the parent string theory, and from the worldsheet formalism developed by Gomis and Ooguri, about which we make some additional remarks. We also devote some attention to supergravity duals, and in particular show that the open and closed strings of the theory are respectively described by short and long strings on the supergravity side.