%0 Generic %1 Maldacena1999Counting %A Maldacena, Juan %A Moore, Gregory %A Strominger, Andrew %D 1999 %K 4d\_bhs, dyon-pf, stringthy-blackholes %T Counting BPS Blackholes in Toroidal Type II String Theory %U http://arxiv.org/abs/hep-th/9903163 %X We derive a \$U\$-duality invariant formula for the degeneracies of BPS multiplets in a D1-D5 system for toroidal compactification of the type II string. The elliptic genus for this system vanishes, but it is found that BPS states can nevertheless be counted using a certain topological partition function involving two insertions of the fermion number operator. This is possible due to four extra toroidal U(1) symmetries arising from a Wigner contraction of a large \$\CN=4\$ algebra \$\CA\_\kappa,\kappa'\$ for \$\kappa' \to ınfty\$. We also compare the answer with a counting formula derived from supergravity on \$AdS\_3S^3 T^4\$ and find agreement within the expected range of validity.

@misc{Maldacena1999Counting, abstract = {We derive a \$U\$-duality invariant formula for the degeneracies of BPS multiplets in a D1-D5 system for toroidal compactification of the type II string. The elliptic genus for this system vanishes, but it is found that BPS states can nevertheless be counted using a certain topological partition function involving two insertions of the fermion number operator. This is possible due to four extra toroidal U(1) symmetries arising from a Wigner contraction of a large \$\CN=4\$ algebra \$\CA\_{\kappa,\kappa'}\$ for \$\kappa' \to \infty\$. We also compare the answer with a counting formula derived from supergravity on \$AdS\_3\times S^3 \times T^4\$ and find agreement within the expected range of validity.}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Maldacena, Juan and Moore, Gregory and Strominger, Andrew}, biburl = {https://www.bibsonomy.org/bibtex/211116d6d65eb65b8e9bac44bb9e221b8/acastro}, citeulike-article-id = {8963471}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/9903163}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/9903163}, day = 14, eprint = {hep-th/9903163}, interhash = {d64f602ecdec5b3a2ff96a852da21b86}, intrahash = {11116d6d65eb65b8e9bac44bb9e221b8}, keywords = {4d\_bhs, dyon-pf, stringthy-blackholes}, month = may, posted-at = {2011-03-09 02:42:09}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Counting BPS Blackholes in Toroidal Type II String Theory}}, url = {http://arxiv.org/abs/hep-th/9903163}, year = 1999 }