Ramond sector of super Liouville theory from instantons on an ALE space
Oct, 201120 pages
Published in:
- Nucl.Phys.B 861 (2012) 387-402
- Published: Aug 21, 2012
e-Print:
- 1110.2176 [hep-th]
Report number:
- UT-KOMABA-11-8
View in:
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Abstract: (Elsevier)
We propose that N=2 U(2) gauge theories on the A1 ALE space, with asymptotic holonomies not in SU(2) , correspond to the Ramond sector of super Liouville theory. As evidence, we show that the instanton partition functions for the theories with and without a fundamental hypermultiplet, computed with such holonomies, coincide with the norms or the inner products of the Whittaker vectors in the Ramond sector. This correspondence suggests that S-duality of U(2) gauge theories interchanges the sectors with different boundary conditions.Note:
- 20 pages, 1 figure
- gauge field theory: U(2)
- field theory: Liouville
- instanton: partition function
- holonomy
- boundary condition
- S-duality
- gauge field theory: conformal
- fixed point
- Verma module
- Wilson loop
References(11)
Figures(2)