activity
20152022
most citedThe Hodge-elliptic genus, spinning BPS states, and black holes

11 citations · 49 across the 17 of their papers we have counts for

collaborators

20 papers

math.DG2022

Orbifold resolution via hyperkahler quotients: the ALF manifold

Arnav Tripathy, Max Zimet

We propose an infinite-dimensional generalization of Kronheimer's construction of families of hyperkahler manifolds resolving flat orbifold quotients of . As in [Kro8…

hep-th2020★ 1 cited

A plethora of K3 metrics

Arnav Tripathy, Max Zimet

We extend our recent study of K3 metrics near the orbifold locus to the other torus orbifold loci. In particular, we provide several new constructions of K3 surfaces as h…

math.NT2020★ 2 cited

Attractors are not algebraic

Yeuk Hay Joshua Lam, Arnav Tripathy

The Attractor Conjecture for Calabi-Yau moduli spaces predicts the algebraicity of the moduli values of certain isolated points picked out by Hodge-theoretic conditions. We provide…

hep-th2020★ 3 cited

K3 metrics

Shamit Kachru, Arnav Tripathy, Max Zimet

We provide an explicit construction of Ricci-flat K3 metrics. It employs the technology of D-geometry, which in the case of interest is equivalent to a hyper-Kähler quotient. We re…

math.AT2019

A de Rham model for complex analytic equivariant elliptic cohomology

Daniel Berwick-Evans, Arnav Tripathy

We construct a cocycle model for complex analytic equivariant elliptic cohomology that refines Grojnowski's theory when the group is connected and Devoto's when the group is finite…

hep-th2019★ 1 cited

Semiclassical Entropy of BPS States in 4d Theories and Counts of Geodesics

Shamit Kachru, Richard Nally, Arnav Tripathy +1

We relate a number of results in the theory of flat surfaces to BPS spectra of a class of 4d supersymmetric quantum field theories arising from M5 branes wrapped on…