Elliptic genera of symmetric products and second quantized strings
Aug, 1996
17 pages
Published in:
- Commun.Math.Phys. 185 (1997) 197-209
e-Print:
- hep-th/9608096 [hep-th]
Report number:
- CERN-TH-96-222,
- ITFA-96-31,
- YCTP-P16-96
Citations per year
Abstract:
In this note we prove an identity that equates the elliptic genus partition function of a supersymmetric sigma model on the -fold symmetric product of a manifold 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.Note:
- 17 pages, latex, 1 figure Report-no: CERN-TH/96-222, ITFA/96-31, YCTP-P16-96
- sigma model: nonlinear
- supersymmetry
- partition function
- Riemann surface
- dimension: 2
- quantization
- string model
- membrane model: p-brane
References(29)
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