On Alternate Derivation of Type IIB Matrix Model

TL;DR

This paper presents a new derivation of the type IIB matrix model starting from the Green-Schwarz superstring action, fixing the kappa symmetry, and performing world-sheet duality, offering a potentially more general approach.

Contribution

It introduces an alternative derivation of the type IIB matrix model without analytic continuation of spinor variables, applicable to curved backgrounds like AdS5×S5.

Findings

Derived a type IIB matrix model from superstring action

Established equivalence with existing matrix models

Proposed applicability to curved backgrounds

Abstract

Starting with Green-Schwarz superstring action, we construct a type IIB matrix model. We fix the local $\kappa$ symmetry in the Killing spinor gauge and then perform the world-sheet duality transformation. A matrix model obtained from this gauge-fixed action is shown to be equivalent to the type IIB matrix model constructed by Ishibashi et al. Our construction does not make use of an analytic continuation of spinor variable. Moreover, it seems that our construction is applicable to that of more general type IIB matrix models in a curved background such as $AdS_5 \times S^5$.