TY - JOUR

T1 - N = 4 superconformal algebra and the entropy of hyperKähler manifolds

AU - Eguchi, Tohru

AU - Hikami, Kazuhiro

N1 - Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2010

Y1 - 2010

N2 - We study the elliptic genera of hyperKähler 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 hyperKähler manifolds. In the case of symmetric products of K3 surfaces our entropy agrees with the black hole entropy of D5-D1 system.

AB - We study the elliptic genera of hyperKähler 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 hyperKähler manifolds. In the case of symmetric products of K3 surfaces our entropy agrees with the black hole entropy of D5-D1 system.

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U2 - 10.1007/JHEP02(2010)019

DO - 10.1007/JHEP02(2010)019

M3 - Article

AN - SCOPUS:77953024919

SN - 1126-6708

VL - 2010

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 2

M1 - 19

ER -