# Notes on discrete torsion in orientifolds

@article{Sharpe2011NotesOD,
title={Notes on discrete torsion in orientifolds},
author={Eric Sharpe},
journal={Journal of Geometry and Physics},
year={2011},
volume={61},
pages={1017-1032}
}
• E. Sharpe
• Published 1 August 2009
• Mathematics
• Journal of Geometry and Physics

## Figures from this paper

### Orbifolds by 2-groups and decomposition

• Mathematics
Journal of High Energy Physics
• 2022
Abstract In this paper we study three-dimensional orbifolds by 2-groups with a trivially-acting one-form symmetry group BK. These orbifolds have a global two-form symmetry, and so one expects that

### New N = 1 dualities from orientifold transitions — Part II : String Theory —

• Mathematics
• 2013
We present a string theoretical description, given in terms of branes and orientifolds wrapping vanishing cycles, of the dual pairs of gauge theories analyzed in [1]. Based on the resulting

### Decomposition in Chern-Simons theories in three dimensions

• Mathematics
• 2022
In this paper we discuss decomposition in the context of three-dimensional Chern-Simons theories. Specifically, we argue that a Chern-Simons theory with a gauged noneffectivelyacting one-form

### New $\mathcal{N}=1$ dualities from orientifold transitions Part II: string theory

• Mathematics
• 2013
A bstractWe present a string theoretical description, given in terms of branes and orientifolds wrapping vanishing cycles, of the dual pairs of gauge theories analyzed in [1]. Based on the resulting

### Quantization of Fayet-Iliopoulos Parameters in Supergravity

• Geology
• 2011
In this short article we discuss quantization of the Fayet-Iliopoulos parameter in supergravity theories. We argue that, in supergravity, the Fayet-Iliopoulos parameter determines a lift of the group

### Rigid D6-branes on $T^6/(Z_2 x Z_{2M} x \Omega R)$ with discrete torsion

• Mathematics
• 2010
We give a complete classification of T6/[Z(2)xZ(2M)xOmegaR] orientifolds on factorisable tori and rigid D6-branes on them. The analysis includes the supersymmetry, RR tadpole cancellation and

### Real representation theory of finite categorical groups

We introduce the Real representation theory of a finite categorical group, thereby categorifying the Real representation theory of finite groups, as studied by Atiyah--Segal and Karoubi. We

### Orientation Twisted Homotopy Field Theories and Twisted Unoriented Dijkgraaf–Witten Theory

• M. B. Young
• Mathematics
Communications in Mathematical Physics
• 2019
Given a finite $$\mathbb {Z}_2$$ Z 2 -graded group $$\hat{\mathsf {G}}$$ G ^ with ungraded subgroup $$\mathsf {G}$$ G and a twisted cocycle \hat{\lambda } \in Z^n(B \hat{\mathsf {G}}; \mathsf

### Twisted loop transgression and higher Jandl gerbes over finite groupoids

• Mathematics
Algebraic &amp; Geometric Topology
• 2022
Given a double cover $\pi: \mathcal{G} \rightarrow \hat{\mathcal{G}}$ of finite groupoids, we explicitly construct twisted loop transgression maps, $\tau_{\pi}$ and $\tau_{\pi}^{ref}$, thereby

### Rigid D6-branes on ${{{{T^6}}} \left/ {{\left( {{Z_2} \times {Z_{2M}} \times \Omega \mathcal{R}} \right)}} \right.}$ with discrete torsion

• Mathematics
• 2011
We give a complete classification of ${{{{T^6}}} \left/ {{\left( {{\mathbb{Z}_2} \times {\mathbb{Z}_{2M}} \times \Omega \mathcal{R}} \right)}} \right.}$ orientifolds on factorisable tori and rigid

## References

SHOWING 1-10 OF 29 REFERENCES

### Type IIB orientifolds with discrete torsion

• Mathematics
• 2001
We consider compact four-dimensional ZN × ZM type IIB orientifolds, for certain values of N and M. We allow the additional feature of discrete torsion and discuss the modification of the consistency

### D-branes and Discrete Torsion

We show that discrete torsion is implemented in a D-brane world-volume theory by using a projective representation of the orbifold point group. We study the example of C 3 / ZZ 2 × ZZ 2 and show that

### Orientifolds with discrete torsion

• Mathematics
• 2000
We show how discrete torsion can be implemented in D = 4, = 1 type-IIB orientifolds. Some consistency conditions are found from the closed string and open string spectrum and from tadpole

### Analogues of discrete torsion for the M theory three form

In this article we shall outline a derivation of the analogue of discrete torsion for the M-theory three-form potential. We find that some of the differences between orbifold group actions on the C

### Discrete torsion in perturbative heterotic string theory

In this paper we analyze discrete torsion in perturbative heterotic string theory. In previous work we have given a purely mathematical explanation of discrete torsion as the choice of orbifold group

### Comments on orientifolds without vector structure

• Mathematics
• 2008
We revisit type I compactifications with a Spin(32)/Z2 gauge bundle that admits no vector structure. We elucidate the relation of this Z2 obstruction to discrete B- field flux and to 't Hooft flux