Affiliation:
1. University of California Los Angeles
2. Harvard University
3. Kavli Institute for the Physics and Mathematics of the Universe
4. The University of Texas at Austin
Abstract
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 00
string theory with \Omega^2=(-1)^{f}Ω2=(−1)f
admits different GSO projections parameterized by
nn
mod 8, depending on the number of Kitaev chains on the worldsheet. The
presence of nn
boundary Majorana fermions then leads to the classification of D-branes
by KO^n(X)\oplus KO^{-n}(X)KOn(X)⊕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 II
worldsheet theory by studying the relevant bordism group, which
classifies corresponding invertible phases. In two appendixes the
relevant bordism group is computed in two ways.
Funder
Fulbright Association
Japan Society for the Promotion of Science
Subject
General Physics and Astronomy
Cited by
21 articles.
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