M[any] Vacua of IIB

TL;DR

This paper explores the spectrum of fluctuations around different vacua in the IIB matrix model, linking matrix configurations to supersymmetric Yang-Mills fields and revealing rich symmetry structures including Virasoro algebra.

Contribution

It explicitly constructs the map from Hermitian matrices to YM fields and analyzes how the spectrum depends on the symmetries of the vacuum solutions.

Findings

Spectrum depends on vacuum symmetry

Gauge algebra includes reparameterisation and Virasoro algebra

Explicit matrix-to-YM field mapping provided

Abstract

Description of the spectrum of fluctuations around a commutative vacuum solution, as well as around a solution with degenerate commutator in IIB matrix model is given in terms of supersymmetric Yang-Mills (YM) model. We construct explicitly the map from Hermitian matrices to YM fields and study the dependence of the spectrum and respective YM model on the symmetries of the solution. The gauge algebra of the YM model is shown to contain local reparameterisation algebra as well as Virasoro one.