Partition functions for BPS states of the noncritical E(8) string
Jul, 1997
16 pages
Published in:
- Adv.Theor.Math.Phys. 1 (1998) 167-183
e-Print:
- hep-th/9707149 [hep-th]
Report number:
- USC-97-009,
- NSF-ITP-97-091
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Abstract:
We consider the BPS states of the non-critical string wound around one of the circles of a toroidal compactification to four dimensions. These states are indexed by their momenta and winding numbers. We find explicit expressions, , for the momentum partition functions for the states with winding number . The are given in terms of modular forms. We give a simple algorithm for generating the , and we show that they satisfy a recurrence relation that is reminiscent of the holomorphic anomaly equations of Kodaira-Spencer theory.- string model
- supersymmetry
- gauge field theory: E(8)
- soliton
- partition function
- compactification: torus
- phase space
- analytic properties
- anomaly
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