|
|||||
|
|
Elliptic Genera of Symmetric Products and Second Quantized Strings |
|
| Authors: | Robbert Dijkgraaf Gregory Moore Erik Verlinde Herman Verlinde |
| Institution: | (1) Mathematics Dept, Univ. of Amsterdam, 1018 TV Amsterdam, The Netherlands, NL;(2) Physics Dept, Yale University, New Haven, CT 06520, USA, US;(3) Theory Division, CERN, CH-1211 Geneva 23, Switzerland and Inst. for Theor. Physics, University of Utrecht, 3508 TA Utrecht, The Netherlands, NL;(4) Inst. for Theor. Physics, Univ. of Amsterdam, 1018 XE Amsterdam, The Netherlands, NL |
| Abstract: | In this note we prove an identity that equates the elliptic genus partition function of a supersymmetric sigma model on the N-fold symmetric product of a manifold M to the partition function of a second quantized string theory on the space . The generating function of these elliptic genera is shown to be (almost) an automorphic form for . In the context of D-brane dynamics, this result gives a precise computation of the free energy of a gas of D-strings inside a higher-dimensional brane. Received: Received: 16 August 1996 / Accepted: 3 October 1996 |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |