Fuzzballs with internal excitations
Abstract
We construct general 2-charge D1-D5 horizon-free non-singular solutions of IIB supergravity on T4 and K3 describing fuzzballs with excitations in the internal manifold; these excitations are characterized by arbitrary curves. The solutions are obtained via dualities from F1-P solutions of heterotic and type IIB on T4 for the K3 and T4 cases, respectively. We compute the holographic data encoded in these solutions, and show that the internal excitations are captured by vevs of chiral primaries associated with the middle cohomology of T4 or K3. We argue that each geometry is dual to a specific superposition of R ground states determined in terms of the Fourier coefficients of the curves defining the supergravity solution. We compute vevs of chiral primaries associated with the middle cohomology and show that they indeed acquire vevs in the superpositions corresponding to fuzzballs with internal excitations, in accordance with the holographic results. We also address the question of whether the fuzzball program can be implemented consistently within supergravity.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- June 2007
- DOI:
- 10.1088/1126-6708/2007/06/056
- arXiv:
- arXiv:0704.0690
- Bibcode:
- 2007JHEP...06..056K
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 65 pages, 45 + appendices