Sommaire:

I will discuss some interesting results on instanton partition functions of Vafa Witten theory on CP^2 with gauge group SU(N). These results can be related to counting of sheaves on CP^2. In 2301.06711 paper we observed the growth of certain mock cusp forms associated with these mock modular forms. Interestingly the growth of these coefficients remain higher than those expected from Deligne bound. In our ongoing work we show that the holomorphic anomaly in theories are associated with these partition functions corresponding to gauge groups of lower ranks.

Pour plus d'informations, merci de contacter Alexandrov S.