The large M limit of Non-Commutative Open Strings at strong coupling

TL;DR

This paper explores the strong coupling limit of two-dimensional Non-Commutative Open String theory using holographic duality, analyzing classical and quantum dynamics, and extending the Maldacena duality beyond near horizon geometries.

Contribution

It provides a detailed analysis of NCOS at strong coupling via holography, including classical dynamics, quantum spectra, and a broader holographic setting beyond near horizon limits.

Findings

Classical dynamics resemble SL(2,R) WZW model.

Quantum propagators and energy spectra show inverse coupling scaling.

Whole space is accessible for holography, extending Maldacena duality.

Abstract

Two dimensional Non-Commutative Open String (NCOS) theory, well-defined perturbatively, may also be studied at strong coupling and for large D-string charge by making use of the Holographic duality. We analyze the zero mode dynamics of a closed string in the appropriate background geometry and map the results onto a sector of strongly coupled NCOS dynamics. We find an elaborate classical picture that shares qualitative similarities with the SL(2,R) WZW model. In the quantum problem, we compute propagators and part of the energy spectrum of the theory; the latter involves interesting variations in the density of states as a function of the level number, and energies scaling inversely with the coupling. Finally, the geometry exhibits a near horizon throat, associated with NCOS dynamics, yet it is found that the whole space is available for Holography. This provides a setting to extend the Maldacena duality beyond the near horizon limit.