COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Non-perturbative quantum geometry, resurgence and BPS structures

## Non-perturbative quantum geometry, resurgence and BPS structuresAdd to your list(s) Download to your calendar using vCal - Murad Alim (Universität Hamburg)
- Thursday 15 September 2022, 13:30-14:30
- No Room Required.
If you have a question about this talk, please contact nobody. AR2W01 - Physical resurgence: On quantum, gauge, and stringy BPS invariants of certain physical theories correspond to Donaldson-Thomas (DT) invariants of an associated Calabi-Yau geometry. BPS structures refer to the data of the DT invariants together with their wall-crossing structure. On the same Calabi-Yau geometry another set of invariants are the Gromov-Witten (GW) invariants. These are organized in the GW potential, which is an asymptotic series in a formal parameter and can be obtained from topological string theory. A further asymptotic series in two parameters is obtained from refined topological string theory which contains the Nekrasov-Shatashvili (NS) limit when one of the two parameters is sent to zero. I will discuss in the case of the resolved conifold how all these asymptotic series lead to difference equations which admit analytic solutions in the expansion parameters. A detailed study of Borel resummation allows one to identify these solutions as Borel sums in a distinguished region in parameter space. The Stokes jumps between different Borel sums encode the BPS invariants of the underlying geometry and are captured in turn by another set of difference equations. I will further show how the Borel analysis of the NS limit connects to the exact WKB study of quantum curves. This is based on various joint works with Lotte Hollands, Arpan Saha, Iván Tulli and Jörg Teschner. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- No Room Required
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsCambridge Comparative Syntax Conference (CamCoS) Post-Slavery Societies Workshop Purple Gemstones## Other talksNew renormalons from analytic trans-series: Lessons from the Bethe ansatz Parameter determination for Energy Balance Climate Models with memory Antarctica:Isolated Continent Metal Pad Roll Instability in Two or Three Layers of Liquid Metals Why is Wolbachia-induced cytoplasmic incompatibility so common? |