TL;DR
This paper explores how symmetry breaking occurs in string theory, focusing on the role of automorphisms and conserved currents, and illustrates supersymmetry breaking in specific backgrounds.
Contribution
It provides a detailed analysis of symmetry breaking mechanisms in string theory using automorphisms and conserved currents, with a case study on supersymmetry breaking.
Findings
Spacetime symmetries are realized as automorphisms of the superconformal algebra.
Deformed currents can generate broken symmetries that do not commute with the Hamiltonian.
Supersymmetry can be spontaneously broken in non-trivial string backgrounds.
Abstract
In this paper we discuss symmetry breaking in string theory. Spacetime symmetries are implemented as inner automorphisms of the underlying superconformal algebra. Conserved currents generate unbroken spacetime symmetries. As we deform the classical solutions of the string equations of motion, the deformed currents continue to generate spontaneously broken symmetries even though they cease to commute with the string Hamiltonian. We illustrate these ideas by studying supersymmetry breaking in a non-trivial string background.
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