Dynamics of Multiple Kaluza-Klein Monopoles in M- and String Theory

TL;DR

This paper investigates the low-energy dynamics of multiple Kaluza-Klein monopoles across various string theories, revealing supersymmetric gauge theories and duality symmetries consistent with theoretical expectations.

Contribution

It identifies the world-volume theories for multiple KK monopoles in M- and string theory, including supersymmetric gauge theories and (2,0) theories, and discusses moduli space corrections.

Findings

Low energy dynamics in M-theory and type IIA is described by supersymmetric U(N) gauge theory.

Type IIB KK monopoles are described by a (2,0) supersymmetric theory in 6D.

Higher derivative corrections relate heterotic KK monopoles to BPS monopole moduli space.

Abstract

We analyse the world-volume theory of multiple Kaluza-Klein monopoles in string and M-theory by identifying the appropriate zero modes of various fields. The results are consistent with supersymmetry, and all conjectured duality symmetries. In particular for M-theory and type IIA string theory, the low energy dynamics of N Kaluza-Klein monopoles is described by supersymmetric U(N) gauge theory, and for type IIB string theory, the low energy dynamics is described by a (2,0) supersymmetric field theory in (5+1) dimensions with N tensor multiplets and tensionless self-dual strings. It is also argued that for the Kaluza-Klein monopoles in heterotic string theory, the apparently flat moduli space gets converted to the moduli space of BPS monopoles in SU(2) gauge theory when higher derivative corrections to the supergravity equations of motion are taken into account.