We compute the elliptic genus of the D1/D7 brane system in flat space, finding a non-trivial dependence on the number of D7 branes, and provide an F-theory interpretation of the result. We show that the JK-residues contributing to the elliptic genus are in one-to-one correspondence with coloured plane partitions and that the elliptic genus can be written as a chiral correlator of vertex operators on the torus. We also study the quantum mechanical system describing D0/D6 bound states on a circle, which leads to a plethystic exponential formula that can be connected to the M-theory graviton index on a multi-Taub-NUT background. The formula is a conjectural expression for higher-rank equivariant K-theoretic Donaldson-Thomas invariants on ℂ3.

Elliptic non-Abelian Donaldson-Thomas invariants of ℂ3 / Benini, Francesco; Bonelli, Giulio; Poggi, Matteo; Tanzini, Alessandro. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2019:7(2019), pp. 1-41. [10.1007/JHEP07(2019)068]

Elliptic non-Abelian Donaldson-Thomas invariants of ℂ3

Benini, Francesco
;
Bonelli, Giulio;Poggi, Matteo;Tanzini, Alessandro
2019

Abstract

We compute the elliptic genus of the D1/D7 brane system in flat space, finding a non-trivial dependence on the number of D7 branes, and provide an F-theory interpretation of the result. We show that the JK-residues contributing to the elliptic genus are in one-to-one correspondence with coloured plane partitions and that the elliptic genus can be written as a chiral correlator of vertex operators on the torus. We also study the quantum mechanical system describing D0/D6 bound states on a circle, which leads to a plethystic exponential formula that can be connected to the M-theory graviton index on a multi-Taub-NUT background. The formula is a conjectural expression for higher-rank equivariant K-theoretic Donaldson-Thomas invariants on ℂ3.
2019
7
1
41
068
Benini, Francesco; Bonelli, Giulio; Poggi, Matteo; Tanzini, Alessandro
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/98095
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