# Fuzzball Solutions for Black Holes and D1-Brane-D5-Brane Microstates

## Abstract

We revisit the relation between fuzzball solutions and D1-brane-D5-brane microstates. A consequence of the fact that the R ground states (in the usual basis) are eigenstates of the R charge is that only neutral operators can have nonvanishing expectation values on these states. We compute the holographic 1-point functions of the fuzzball solutions and find that charged chiral primaries have nonzero expectation values, except when the curve characterizing the solution is circular. The nonzero vacuum expectation values reflect the fact that a generic curve breaks R symmetry completely. This implies that fuzzball solutions (excepting circular ones) can only correspond to superpositions of R states and we give a proposal for the superposition corresponding to a given curve. We also address the question of what would be the geometric dual of a given R ground state.

- Authors:

- Institute for Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam (Netherlands)

- Publication Date:

- OSTI Identifier:
- 20955463

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review Letters

- Additional Journal Information:
- Journal Volume: 98; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevLett.98.071601; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0031-9007

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BLACK HOLES; BRANES; CHIRALITY; COSMOLOGICAL MODELS; EIGENSTATES; FUZZY LOGIC; GROUND STATES; HOLOGRAPHY; MATHEMATICAL SOLUTIONS; STRING THEORY; SYMMETRY

### Citation Formats

```
Skenderis, Kostas, and Taylor, Marika.
```*Fuzzball Solutions for Black Holes and D1-Brane-D5-Brane Microstates*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVLETT.98.071601.

```
Skenderis, Kostas, & Taylor, Marika.
```*Fuzzball Solutions for Black Holes and D1-Brane-D5-Brane Microstates*. United States. doi:10.1103/PHYSREVLETT.98.071601.

```
Skenderis, Kostas, and Taylor, Marika. Fri .
"Fuzzball Solutions for Black Holes and D1-Brane-D5-Brane Microstates". United States. doi:10.1103/PHYSREVLETT.98.071601.
```

```
@article{osti_20955463,
```

title = {Fuzzball Solutions for Black Holes and D1-Brane-D5-Brane Microstates},

author = {Skenderis, Kostas and Taylor, Marika},

abstractNote = {We revisit the relation between fuzzball solutions and D1-brane-D5-brane microstates. A consequence of the fact that the R ground states (in the usual basis) are eigenstates of the R charge is that only neutral operators can have nonvanishing expectation values on these states. We compute the holographic 1-point functions of the fuzzball solutions and find that charged chiral primaries have nonzero expectation values, except when the curve characterizing the solution is circular. The nonzero vacuum expectation values reflect the fact that a generic curve breaks R symmetry completely. This implies that fuzzball solutions (excepting circular ones) can only correspond to superpositions of R states and we give a proposal for the superposition corresponding to a given curve. We also address the question of what would be the geometric dual of a given R ground state.},

doi = {10.1103/PHYSREVLETT.98.071601},

journal = {Physical Review Letters},

issn = {0031-9007},

number = 7,

volume = 98,

place = {United States},

year = {2007},

month = {2}

}