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Seiberg-Witten prepotential for E-string theory and random partitions

Kazuhiro Sakai
(
- Kyoto U., Yukawa Inst., Kyoto
)

Mar, 2012

15 pages

Published in:

JHEP 06 (2012) 027

e-Print:

1203.2921 [hep-th]

DOI:

10.1007/JHEP06(2012)027

Report number:

YITP-12-15

View in:

reference search10 citations

Citations per year

Abstract: (arXiv)

We find a Nekrasov-type expression for the Seiberg-Witten prepotential for the six-dimensional non-critical E_8 string theory toroidally compactified down to four dimensions. The prepotential represents the BPS partition function of the E_8 strings wound around one of the circles of the toroidal compactification with general winding numbers and momenta. We show that our expression exhibits expected modular properties. In particular, we prove that it obeys the modular anomaly equation known to be satisfied by the prepotential.

Note:

14 pages

compactification: torus
dimension: 4
dimension: 6
Seiberg-Witten model
prepotential
anomaly
partition function
string model
E(8)

References(18)

Figures(0)

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