TY - JOUR
T1 - The stringy instanton partition function
Y1 - 2014
A1 - Giulio Bonelli
A1 - Antonio Sciarappa
A1 - Alessandro Tanzini
A1 - Petr Vasko
AB - We perform an exact computation of the gauged linear sigma model associated to a D1-D5 brane system on a resolved A_1 singularity. This is accomplished via supersymmetric localization on the blown-up two-sphere. We show that in the blow-down limit C^2/Z_2 the partition function reduces to the Nekrasov partition function evaluating the equivariant volume of the instanton moduli space. For finite radius we obtain a tower of world-sheet instanton corrections, that we identify with the equivariant Gromov-Witten invariants of the ADHM moduli space. We show that these corrections can be encoded in a deformation of the Seiberg-Witten prepotential. From the mathematical viewpoint, the D1-D5 system under study displays a twofold nature: the D1-branes viewpoint captures the equivariant quantum cohomology of the ADHM instanton moduli space in the Givental formalism, and the D5-branes viewpoint is related to higher rank equivariant Donaldson-Thomas invariants of P^1 x C^2.
PB - Springer
UR - http://urania.sissa.it/xmlui/handle/1963/34589
U1 - 34796
U2 - Physics
U4 - 2
ER -