# T duality of the Zamolodchikov-Zamolodchikov brane

## Abstract

We examine how nonperturbative effects in string theory are transformed under the T-duality in its nonperturbative framework by analyzing the c=1/2 noncritical string theory as a simplest example. We show that in the T-dual theory they also take the form of exp(-S{sub 0}/g{sub s}) in the leading order and that the instanton actions S{sub 0} of the dual Zamolodchikov-Zamolodchikov (ZZ)-branes are exactly the same as those in the original c=1/2 string theory. Furthermore we present formulas for coefficients of exp(-S{sub 0}/g{sub s}) in the dual theory.

- Authors:

- High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801 (Japan)
- Okayama Institute for Quantum Physics, Kyoyama 1-9-1, Okayama 700-0015 (Japan)

- Publication Date:

- OSTI Identifier:
- 21011073

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.75.044008; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BRANES; COSMOLOGY; DUALITY; INSTANTONS; QUANTUM FIELD THEORY; STRING MODELS; STRING THEORY

### Citation Formats

```
Kuroki, Tsunehide, and Sugino, Fumihiko.
```*T duality of the Zamolodchikov-Zamolodchikov brane*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.044008.

```
Kuroki, Tsunehide, & Sugino, Fumihiko.
```*T duality of the Zamolodchikov-Zamolodchikov brane*. United States. doi:10.1103/PHYSREVD.75.044008.

```
Kuroki, Tsunehide, and Sugino, Fumihiko. Thu .
"T duality of the Zamolodchikov-Zamolodchikov brane". United States.
doi:10.1103/PHYSREVD.75.044008.
```

```
@article{osti_21011073,
```

title = {T duality of the Zamolodchikov-Zamolodchikov brane},

author = {Kuroki, Tsunehide and Sugino, Fumihiko},

abstractNote = {We examine how nonperturbative effects in string theory are transformed under the T-duality in its nonperturbative framework by analyzing the c=1/2 noncritical string theory as a simplest example. We show that in the T-dual theory they also take the form of exp(-S{sub 0}/g{sub s}) in the leading order and that the instanton actions S{sub 0} of the dual Zamolodchikov-Zamolodchikov (ZZ)-branes are exactly the same as those in the original c=1/2 string theory. Furthermore we present formulas for coefficients of exp(-S{sub 0}/g{sub s}) in the dual theory.},

doi = {10.1103/PHYSREVD.75.044008},

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

number = 4,

volume = 75,

place = {United States},

year = {Thu Feb 15 00:00:00 EST 2007},

month = {Thu Feb 15 00:00:00 EST 2007}

}

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