## 11 Citations

### Orbifolds by 2-groups and decomposition

- MathematicsJournal 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

- Mathematics
- 2018

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

- MathematicsCommunications 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

- MathematicsAlgebraic & 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

- Mathematics
- 1998

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

- Mathematics
- 2003

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

- Mathematics
- 2003

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…