# Brane/Flux Annihilation and the String Dual of a Non-Supersymmetric Field Theory

## Abstract

We consider the dynamics of p anti-D3 branes inside the Klebanov-Strassler geometry, the deformed conifold with M units of RR 3-form flux around the S{sup 3}. We find that for p << M the system relaxes to a nonsupersymmetric NS 5-brane ''giant graviton'' configuration, which is classically stable, but quantum mechanically can tunnel to a nearby supersymmetric vacuum with M-p D3 branes. This decay mode is exponentially suppressed and proceeds via the nucleation of an NS 5-brane bubble wall. We propose a dual field theory interpretation of the decay as the transition between a nonsupersymmetric ''baryonic'' branch and a supersymmetric ''mesonic'' branch of the corresponding SU(2M-p) low energy gauge theory. The NS 5-brane tunneling process also provides a simple visualization of the geometric transition by which D3-branes can dissolve into 3-form flux.

- Authors:

- Publication Date:

- Research Org.:
- Stanford Linear Accelerator Center, Menlo Park, CA (US)

- Sponsoring Org.:
- USDOE Office of Energy Research (ER) (US)

- OSTI Identifier:
- 798987

- Report Number(s):
- SLAC-PUB-9083

TRN: US0205138

- DOE Contract Number:
- AC03-76SF00515

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 30 Jan 2002

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ANNIHILATION; BUBBLES; CONFIGURATION; DECAY; GEOMETRY; NUCLEATION; TUNNELING

### Citation Formats

```
Kachru, Shamit.
```*Brane/Flux Annihilation and the String Dual of a Non-Supersymmetric Field Theory*. United States: N. p., 2002.
Web. doi:10.2172/798987.

```
Kachru, Shamit.
```*Brane/Flux Annihilation and the String Dual of a Non-Supersymmetric Field Theory*. United States. doi:10.2172/798987.

```
Kachru, Shamit. Wed .
"Brane/Flux Annihilation and the String Dual of a Non-Supersymmetric Field Theory". United States. doi:10.2172/798987. https://www.osti.gov/servlets/purl/798987.
```

```
@article{osti_798987,
```

title = {Brane/Flux Annihilation and the String Dual of a Non-Supersymmetric Field Theory},

author = {Kachru, Shamit},

abstractNote = {We consider the dynamics of p anti-D3 branes inside the Klebanov-Strassler geometry, the deformed conifold with M units of RR 3-form flux around the S{sup 3}. We find that for p << M the system relaxes to a nonsupersymmetric NS 5-brane ''giant graviton'' configuration, which is classically stable, but quantum mechanically can tunnel to a nearby supersymmetric vacuum with M-p D3 branes. This decay mode is exponentially suppressed and proceeds via the nucleation of an NS 5-brane bubble wall. We propose a dual field theory interpretation of the decay as the transition between a nonsupersymmetric ''baryonic'' branch and a supersymmetric ''mesonic'' branch of the corresponding SU(2M-p) low energy gauge theory. The NS 5-brane tunneling process also provides a simple visualization of the geometric transition by which D3-branes can dissolve into 3-form flux.},

doi = {10.2172/798987},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2002},

month = {1}

}