The International Center for Mathematical Sciences – Sofia (ICMS-Sofia)


ICMS Seminar

16.01.2024, 14:00, Sofia time

ICMS-Sofia, Room 403

The H-flux on flag manifolds generated by infinitesimal T-duality

Carlos Varea,
(Universidade Tecnológica Federal do Paraná – Campus Cornélio Procópio, Brazil)

Abstract: In this talk we present a new correspondence for pairs $(\mathbb{F},H)$ formed by a flag manifold $\mathbb{F}$ together with an $H$-flux on $\mathbb{F}$. Given its role within our correspondence, infinitesimal $T$-duality may be viewed as a source of $H$-flux, in the sense that it contributes towards taking fluxless pairs $(\mathbb{F},0)$ to pairs $(\mathbb{F}^\vee, H^\vee)$ carrying nontrivial flux $H^\vee\neq 0$. We also illustrate how our correspondence exchanges complex structures with symplectic ones up to $B$-transformations. This is a joint work with Elizabeth Gasparim and Lino Grama.