Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-09-02
JHEP 1002:019,2010
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, 1 figure
Scientific paper
10.1007/JHEP02(2010)019
We study the elliptic genera of hyperKahler manifolds using the representation theory of N=4 superconformal algebra. We consider the decomposition of the elliptic genera in terms of N=4 irreducible characters, and derive the rate of increase of the multiplicities of half-BPS representations making use of Rademacher expansion. Exponential increase of the multiplicity suggests that we can associate the notion of an entropy to the geometry of hyperKahler manifolds. In the case of symmetric products of K3 surfaces our entropy agrees with the black hole entropy of D5-D1 system.
Eguchi Tohru
Hikami Kazuhiro
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