抄録
<jats:title>A<jats:sc>bstract</jats:sc> </jats:title> <jats:p>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 <jats:italic>ℂ</jats:italic> <jats:sup>3</jats:sup>.</jats:p>
収録刊行物
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- Journal of High Energy Physics
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Journal of High Energy Physics 2019 (7), 068-, 2019-07
Springer Science and Business Media LLC