Coset models and D-branes in group manifolds

TL;DR

This paper proposes a duality between heterotic strings on homogeneous spaces and D-branes on group manifolds, supported by a no-renormalization theorem and symmetry considerations.

Contribution

It introduces a conjectured duality and provides an explicit proof of a no-renormalization theorem for heterotic strings, suggesting broader implications for D-brane theories.

Findings

Evidence for duality between heterotic strings and D-branes

Proof of no-renormalization theorem due to hidden symmetry

Implication that higher order DBI terms are also protected

Abstract

We conjecture the existence of a duality between heterotic closed strings on homogeneous spaces and symmetry-preserving D-branes on group manifolds, based on the observation about the coincidence of the low-energy field description for the two theories. For the closed string side we also give an explicit proof of a no-renormalization theorem as a consequence of a hidden symmetry and infer that the same property should hold true for the higher order terms of the DBI action.