TY - RPRT
T1 - Instanton counting on Hirzebruch surfaces
Y1 - 2008
A1 - Ugo Bruzzo
A1 - Rubik Poghossian
A1 - Alessandro Tanzini
AB - We perform a study of the moduli space of framed torsion free sheaves on Hirzebruch surfaces by using localization techniques. After discussing general properties of this moduli space, we classify its fixed points under the appropriate toric action and compute its Poincare\\\' polynomial. From the physical viewpoint, our results provide the partition function of N=4 Vafa-Witten theory on Hirzebruch surfaces, which is relevant in black hole entropy counting problems according to a conjecture due to Ooguri, Strominger and Vafa.
UR - http://hdl.handle.net/1963/2852
U1 - 1848
U2 - Mathematics
U3 - Mathematical Physics
ER -