Matrix Model For Polyakov Loops, String Field Theory In The Temporal Gauge, Winding String Condensation In Anti-de Sitter Space And Field Theory Of D-branes

TL;DR

This paper constructs a closed string field theory from a matrix model of Polyakov loops, exploring winding string condensation and topology change in AdS space, with implications for D-branes and black hole formation.

Contribution

It introduces a novel string field theory derived from a matrix model, linking winding string condensation to topology change in AdS space and D-brane dynamics.

Findings

String field theory describes winding string condensation.

Topology change from thermal AdS to AdS-Schwarzschild black hole.

Discussion of D-branes within the string field framework.

Abstract

Closed string field theory is constructed by stochastically quantizing a matrix model for Polyakov loops that describes phases of a large N gauge theory at finite temperature. Coherent states in this string field theory describes winding string condensation which has been expected to cause a topology change from thermal AdS geometry to AdS-Schwarzschild black hole geometry. D-branes in this closed string field theory is also discussed. Slightly extended version of a talk given at CosPA 2007, Nov.13-15, Taipei, Taiwan.