Fermionic zero-modes in type II fivebrane backgrounds

TL;DR

This paper explicitly analyzes fermionic zero-modes in type II fivebrane backgrounds, revealing specific zero-mode structures in type IIA and IIB theories that relate to four-fermion condensates and D-brane tension.

Contribution

It provides the first explicit determination of fermionic zero-modes in type II fivebrane backgrounds, clarifying their role in four-fermion condensates and D-brane physics.

Findings

Type IIA fivebrane has four gravitino and dilatino zero-modes.

Type IIB fivebrane has four dilatino zero-modes and no gravitino zero-modes.

Zero-modes relate to four-fermion condensates and D-brane tension calculations.

Abstract

The explicit form of the fermionic zero-modes in the fivebrane backgrounds of type IIA and IIB supergravity theories is investigated. In type IIA fivebrane background there are four zero-modes of gravitinos and dilatinos. In type IIB fivebrane background four zero-modes of dilatinos and no zero-modes of gravitinos are found. These zero-modes indicate the four-fermion condensates which have been suggested in a calculation of the tension of the D-brane in fivebrane backgrounds.