26–29 Sept 2023
DESY Hamburg
Europe/Berlin timezone

Superconformal algebras for (twisted) connected sums

27 Sept 2023, 14:36
18m
SR 4a (DESY)

SR 4a

DESY

Speaker

Mateo Galdeano (TUHH (Technische Universitaet Hamburg-Harburg))

Description

The worldsheet conformal field theory associated to a string compactification is intimately related to the geometry of the underlying compact manifold. In this talk we will explore compactifications on manifolds that can be constructed as a (twisted) connected sum of two open manifolds. At the level of chiral algebras we expect the geometric structure to give rise to a "diamond" of algebra inclusions, and automorphisms of these algebras can be interpreted as candidates for mirror maps on the compact manifold. We will focus on the Schoen Calabi-Yau manifold and, time permitting, we will discuss further examples of holonomy G$_2$ and Spin(7). This talk is based on [2306.14798] as well as joint work with M.-A. Fiset, [2104.05716].

Primary author

Mateo Galdeano (TUHH (Technische Universitaet Hamburg-Harburg))

Presentation materials