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Topological superconductors on superstring worldsheets

by Justin Kaidi, Julio Parra-Martinez, Yuji Tachikawa

Submission summary

As Contributors: Julio Parra-Martinez
Preprint link: scipost_202002_00003v1
Date submitted: 2020-02-18
Submitted by: Parra-Martinez, Julio
Submitted to: SciPost Physics
Discipline: Physics
Subject area: High-Energy Physics - Theory
Approach: Theoretical


We point out that different choices of Gliozzi-Scherk-Olive (GSO) projections in superstring theory can be conveniently understood by the inclusion of fermionic invertible phases, or equivalently topological superconductors, on the worldsheet. This allows us to find that the unoriented Type $\rm 0$ string theory with $\Omega^2=(-1)^{\sf f}$ admits different GSO projections parameterized by $n$ mod 8, depending on the number of Kitaev chains on the worldsheet. The presence of $n$ boundary Majorana fermions then leads to the classification of D-branes by $KO^n(X)\oplus KO^{-n}(X)$ in these theories, which we also confirm by the study of the D-brane boundary states. Finally, we show that there is no essentially new GSO projection for the Type $\rm I$ worldsheet theory by studying the relevant bordism group, which classifies corresponding invertible phases. This paper provides the details for the results announced in the letter \cite{Kaidi:2019pzj}.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission scipost_202002_00003v1 on 18 February 2020

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