Counting giant gravitons in AdS{sub 3}
- Department of Physics, Harvard University, Cambridge Massachusetts 02138 (United States)
We quantize the set of all quarter Bogomol'nyi-Prasad-Sommerfield (BPS) brane probe solutions in global AdS{sub 3}xS{sup 3}xT{sup 4}/K3 found in G. Mandal, S. Raju, and M. Smedback, preceding article, Phys. Rev. D 77, 046011 (2008).. We show that, generically, these solutions give rise to states in discrete representations of the SL(2,R) Wess-Zumino-Witten model on AdS{sub 3}. Our procedure provides us with a detailed description of the low energy (1/4) and (1/2) BPS sectors of string theory on this background. The (1/4) BPS partition function jumps as we move off the point in moduli space where the bulk theta angle and Neveu-Schwarz fields vanish. We show that generic (1/2) BPS states are protected because they correspond to geodesics rather than puffed up branes. By exactly quantizing the simplest of the probes above, we verify our description of (1/4) BPS states and find agreement with the known spectrum of (1/2) BPS states of the boundary theory. We also consider the contribution of these probes to the elliptic genus and discuss puzzles, and their possible resolutions, in reproducing the elliptic genus of the symmetric product.
- OSTI ID:
- 21039211
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 77, Issue 4; Other Information: DOI: 10.1103/PhysRevD.77.046012; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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