Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Tripathy, Arnav"'
Autor:
Tripathy, Arnav, Zimet, Max
We propose an infinite-dimensional generalization of Kronheimer's construction of families of hyperkahler manifolds resolving flat orbifold quotients of $\mathbb{R}^4$. As in [Kro89], these manifolds are constructed as hyperkahler quotients of affine
Externí odkaz:
http://arxiv.org/abs/2203.13730
Autor:
Tripathy, Arnav, Zimet, Max
We extend our recent study of K3 metrics near the $T^4/Z_2$ orbifold locus to the other torus orbifold loci. In particular, we provide several new constructions of K3 surfaces as hyper-K\"ahler quotients, which yield new formulae for K3 metrics. We t
Externí odkaz:
http://arxiv.org/abs/2010.12581
Autor:
Lam, Yeuk Hay Joshua, Tripathy, Arnav
Publikováno v:
Compositio Math. 160 (2024) 1073-1100
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 a family of counterexamples to the Attractor Conjecture in all suitab
Externí odkaz:
http://arxiv.org/abs/2009.12650
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-K\"ahler quotient. We relate it to the construction of arXiv:1810.10540, and in particular s
Externí odkaz:
http://arxiv.org/abs/2006.02435
Autor:
Berwick-Evans, Daniel, Tripathy, Arnav
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. We then construct Mathai--Quillen type cocycles for equivariant elli
Externí odkaz:
http://arxiv.org/abs/1908.02868
We relate a number of results in the theory of flat surfaces to BPS spectra of a class of 4d $\mathcal{N}=2$ supersymmetric quantum field theories arising from M5 branes wrapped on Riemann surfaces -- $A_1$ class S theories. In particular, we apply c
Externí odkaz:
http://arxiv.org/abs/1906.11839
Attractor black holes in type II string compactifications on $K3 \times T^2$ are in correspondence with equivalence classes of binary quadratic forms. The discriminant of the quadratic form governs the black hole entropy, and the count of attractor b
Externí odkaz:
http://arxiv.org/abs/1903.02323
Certain six-dimensional (1,0) supersymmetric little string theories, when compactified on $T^3$, have moduli spaces of vacua given by smooth K3 surfaces. Using ideas of Gaiotto-Moore-Neitzke, we show that this provides a systematic procedure for dete
Externí odkaz:
http://arxiv.org/abs/1810.10540
We consider asymptotics of certain BPS state counts in M-theory compactified on a K3 surface. Our investigation is parallel to (and was inspired by) recent work in the mathematics literature by Filip, who studied the asymptotic count of special Lagra
Externí odkaz:
http://arxiv.org/abs/1807.09984
Autor:
Berwick-Evans, Daniel, Tripathy, Arnav
We construct a global geometric model for complex analytic equivariant elliptic cohomology for all compact Lie groups. Cocycles are specified by functions on the space of fields of the two-dimensional sigma model with background gauge fields and $\ma
Externí odkaz:
http://arxiv.org/abs/1805.04146