Compactified rotating branes in the matrix model, and excitation spectrum towards one loop

TL;DR

This paper investigates the fluctuation spectrum of compactified branes in the IIB matrix model, analyzing one-loop effects, UV finiteness, supersymmetry, and stability issues related to flux and Kaluza-Klein modes.

Contribution

It explicitly computes fluctuation spectra for compactified branes in the IIB matrix model, demonstrating UV finiteness and supersymmetry conditions, and discusses stability with flux and Kaluza-Klein modes.

Findings

One-loop contributions are UV finite for R^4 x T^2.

The model is supersymmetric for R^3 x S^1.

Kaluza-Klein modes exhibit a gap with flux, affecting stability.

Abstract

We study compactified brane solutions of type R^4 x K in the IIB matrix model, and obtain explicitly the bosonic and fermionic fluctuation spectrum required to compute the one-loop effective action. We verify that the one-loop contributions are UV finite for R^4 x T^2, and supersymmetric for R^3 x S^1. The higher Kaluza-Klein modes are shown to have a gap in the presence of flux on T^2, and potential problems concerning stability are discussed.