 Award ID(s):
 2014086
 NSFPAR ID:
 10438706
 Date Published:
 Journal Name:
 Journal of High Energy Physics
 Volume:
 2022
 Issue:
 10
 ISSN:
 10298479
 Format(s):
 Medium: X
 Sponsoring Org:
 National Science Foundation
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We construct a two dimensional unoriented open/closed topological field theory from a finite graded group $\pi:\Gh \twoheadrightarrow \{1,1\}$, a $\pi$twisted $2$cocycle $\hat{\theta}$ on $B \hat{G}$ and a character $\lambda: \hat{G} \rightarrow U(1)$. The underlying oriented theory is a twisted DijkgraafWitten theory. The construction is based on a detailed study of the $(\hat{G}, \hat{\theta},\lambda)$twisted Real representation theory of $\textnormal{ker} \pi$. In particular, twisted Real representations are boundary conditions of the unoriented theory and the generalized FrobeniusSchur element is its crosscap state.more » « less

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