Zobrazeno 1 - 10
of 76
pro vyhledávání: '"Alim, Murad"'
Autor:
Alim, Murad, Bryan, Daniel
We propose generating functions which encode the degeneracies and wall-crossing phenomena of $\mathcal{N}=2$ BPS structures. The generating functions have a representation-theoretic origin and are the analogs of the 1/4-BPS dyon counting formula in $
Externí odkaz:
http://arxiv.org/abs/2408.12703
Autor:
Alim, Murad
The partition function of topological string theory on any family of Calabi-Yau threefolds is defined perturbatively as an asymptotic series in the topological string coupling and encodes, in a holomorphic limit, higher genus Gromov-Witten as well as
Externí odkaz:
http://arxiv.org/abs/2406.17852
We study mathematical structures on the moduli spaces of BPS structures of $\mathcal{N}=2$ theories. Guided by the realization of BPS structures within type IIB string theory on non-compact Calabi-Yau threefolds, we develop a notion of BPS variation
Externí odkaz:
http://arxiv.org/abs/2308.16854
Publikováno v:
SIGMA 19 (2023), 009, 82 pages
We study the non-perturbative quantum geometry of the open and closed topological string on the resolved conifold and its mirror. Our tools are finite difference equations in the open and closed string moduli and the resurgence analysis of their form
Externí odkaz:
http://arxiv.org/abs/2203.08249
We study the Borel summation of the Gromov-Witten potential for the resolved conifold. The Stokes phenomena associated to this Borel summation are shown to encode the Donaldson-Thomas invariants of the resolved conifold, having a direct relation to t
Externí odkaz:
http://arxiv.org/abs/2109.06878
Publikováno v:
Fortschr. Phys. 2021, 2100125
Motivated by the Weak Gravity Conjecture, we uncover an intricate interplay between black holes, BPS particle counting, and Calabi-Yau geometry in five dimensions. In particular, we point out that extremal BPS black holes exist only in certain direct
Externí odkaz:
http://arxiv.org/abs/2108.08309
We associate to the resolved conifold an affine special K\"{a}hler (ASK) manifold of complex dimension 1, and an instanton corrected hyperk\"{a}hler (HK) manifold of complex dimension 2. We describe these geometries explicitly, and show that the inst
Externí odkaz:
http://arxiv.org/abs/2106.11976
Autor:
Alim, Murad
We study difference equations which are obtained from the asymptotic expansion of topological string theory on the deformed and the resolved conifold geometries as well as for topological string theory on arbitrary families of Calabi-Yau manifolds ne
Externí odkaz:
http://arxiv.org/abs/2102.07776
Autor:
Alim, Murad, Saha, Arpan
We provide a direct proof of a conjecture of Brini relating the Gromov-Witten theory of the resolved conifold to the Ablowitz-Ladik integrable hierarchy at the level of primaries. In doing so, we use a functional representation of the Ablowitz-Ladik
Externí odkaz:
http://arxiv.org/abs/2101.11672