# Compactified little string theories and compact moduli spaces of vacua

## Abstract

It is emphasized that compactified little string theories have compact moduli spaces of vacua, which globally probe compact string geometry. Compactifying various little string theories on T{sup 3} leads to three-dimensional (3D) theories with an exact, quantum Coulomb branch given by an arbitrary T{sup 4} of volume M{sub s}{sup 2}, an arbitrary K3 of volume M{sub s}{sup 2}, and moduli spaces of G=SU(N), SO(2N), or E{sub 6}, E{sub 7}, E{sub 8} instantons on an arbitrary T{sup 4} or K3 of fixed volume. Compactifying instead on a T{sup 2} leads to 4D theories with a compact Coulomb branch base which, when combined with the exact photon gauge coupling fiber, is a compact, elliptically fibered space related to the above spaces. (c) 2000 The American Physical Society.

- Authors:

- UCSD Physics Department, 9500 Gilman Drive, La Jolla, California 92093 (United States)
- (United States)

- Publication Date:

- OSTI Identifier:
- 20216452

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. D, Particles Fields

- Additional Journal Information:
- Journal Volume: 61; Journal Issue: 10; Other Information: PBD: 15 May 2000; Journal ID: ISSN 0556-2821

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; STRING MODELS; VACUUM STATES; SU GROUPS; SO GROUPS; INSTANTONS; COMPACTIFICATION; UNIFIED GAUGE MODELS; THEORETICAL DATA

### Citation Formats

```
Intriligator, Kenneth, and School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540.
```*Compactified little string theories and compact moduli spaces of vacua*. United States: N. p., 2000.
Web. doi:10.1103/PhysRevD.61.106005.

```
Intriligator, Kenneth, & School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540.
```*Compactified little string theories and compact moduli spaces of vacua*. United States. doi:10.1103/PhysRevD.61.106005.

```
Intriligator, Kenneth, and School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540. Mon .
"Compactified little string theories and compact moduli spaces of vacua". United States. doi:10.1103/PhysRevD.61.106005.
```

```
@article{osti_20216452,
```

title = {Compactified little string theories and compact moduli spaces of vacua},

author = {Intriligator, Kenneth and School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540},

abstractNote = {It is emphasized that compactified little string theories have compact moduli spaces of vacua, which globally probe compact string geometry. Compactifying various little string theories on T{sup 3} leads to three-dimensional (3D) theories with an exact, quantum Coulomb branch given by an arbitrary T{sup 4} of volume M{sub s}{sup 2}, an arbitrary K3 of volume M{sub s}{sup 2}, and moduli spaces of G=SU(N), SO(2N), or E{sub 6}, E{sub 7}, E{sub 8} instantons on an arbitrary T{sup 4} or K3 of fixed volume. Compactifying instead on a T{sup 2} leads to 4D theories with a compact Coulomb branch base which, when combined with the exact photon gauge coupling fiber, is a compact, elliptically fibered space related to the above spaces. (c) 2000 The American Physical Society.},

doi = {10.1103/PhysRevD.61.106005},

journal = {Physical Review. D, Particles Fields},

issn = {0556-2821},

number = 10,

volume = 61,

place = {United States},

year = {2000},

month = {5}

}