# The Moduli Space and M(Atrix) Theory of 9d N=1 Backgrounds of M/String Theory

## Abstract

We discuss the moduli space of nine dimensional N = 1 supersymmetric compactifications of M theory/string theory with reduced rank (rank 10 or rank 2), exhibiting how all the different theories (including M theory compactified on a Klein bottle and on a Moebius strip, the Dabholkar-Park background, CHL strings and asymmetric orbifolds of type II strings on a circle) fit together, and what are the weakly coupled descriptions in different regions of the moduli space. We argue that there are two disconnected components in the moduli space of theories with rank 2. We analyze in detail the limits of the M theory compactifications on a Klein bottle and on a Moebius strip which naively give type IIA string theory with an uncharged orientifold 8-plane carrying discrete RR flux. In order to consistently describe these limits we conjecture that this orientifold non-perturbatively splits into a D8-brane and an orientifold plane of charge (-1) which sits at infinite coupling. We construct the M(atrix) theory for M theory on a Klein bottle (and the theories related to it), which is given by a 2 + 1 dimensional gauge theory with a varying gauge coupling compactified on a cylinder with specific boundary conditions. Wemore »

- Authors:

- Publication Date:

- Research Org.:
- Stanford Linear Accelerator Center (SLAC)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 901260

- Report Number(s):
- SLAC-PUB-12404

hep-th/0702195; TRN: US200714%%41

- DOE Contract Number:
- AC02-76SF00515

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOUNDARY CONDITIONS; STRING MODELS; SUPERSYMMETRY; COMPACTIFICATION; Theory-HEP,HEPTH

### Citation Formats

```
Aharony, Ofer, /Weizmann Inst. /Stanford U., ITP /SLAC, Komargodski, Zohar, Patir, Assaf, and /Weizmann Inst.
```*The Moduli Space and M(Atrix) Theory of 9d N=1 Backgrounds of M/String Theory*. United States: N. p., 2007.
Web. doi:10.2172/901260.

```
Aharony, Ofer, /Weizmann Inst. /Stanford U., ITP /SLAC, Komargodski, Zohar, Patir, Assaf, & /Weizmann Inst.
```*The Moduli Space and M(Atrix) Theory of 9d N=1 Backgrounds of M/String Theory*. United States. doi:10.2172/901260.

```
Aharony, Ofer, /Weizmann Inst. /Stanford U., ITP /SLAC, Komargodski, Zohar, Patir, Assaf, and /Weizmann Inst. Wed .
"The Moduli Space and M(Atrix) Theory of 9d N=1 Backgrounds of M/String Theory". United States.
doi:10.2172/901260. https://www.osti.gov/servlets/purl/901260.
```

```
@article{osti_901260,
```

title = {The Moduli Space and M(Atrix) Theory of 9d N=1 Backgrounds of M/String Theory},

author = {Aharony, Ofer and /Weizmann Inst. /Stanford U., ITP /SLAC and Komargodski, Zohar and Patir, Assaf and /Weizmann Inst.},

abstractNote = {We discuss the moduli space of nine dimensional N = 1 supersymmetric compactifications of M theory/string theory with reduced rank (rank 10 or rank 2), exhibiting how all the different theories (including M theory compactified on a Klein bottle and on a Moebius strip, the Dabholkar-Park background, CHL strings and asymmetric orbifolds of type II strings on a circle) fit together, and what are the weakly coupled descriptions in different regions of the moduli space. We argue that there are two disconnected components in the moduli space of theories with rank 2. We analyze in detail the limits of the M theory compactifications on a Klein bottle and on a Moebius strip which naively give type IIA string theory with an uncharged orientifold 8-plane carrying discrete RR flux. In order to consistently describe these limits we conjecture that this orientifold non-perturbatively splits into a D8-brane and an orientifold plane of charge (-1) which sits at infinite coupling. We construct the M(atrix) theory for M theory on a Klein bottle (and the theories related to it), which is given by a 2 + 1 dimensional gauge theory with a varying gauge coupling compactified on a cylinder with specific boundary conditions. We also clarify the construction of the M(atrix) theory for backgrounds of rank 18, including the heterotic string on a circle.},

doi = {10.2172/901260},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Wed Mar 21 00:00:00 EDT 2007},

month = {Wed Mar 21 00:00:00 EDT 2007}

}