Speaker
Prof.
Alon Faraggi
(University of Liverpool)
Description
In the context of the free fermionic construction I define "Modular maps" as maps induced by groups of 4 periodic fermions that map between different sectors within vacua, or between different vacua. I will discuss three examples of such maps:
1. S-map and spacetime supersymmetry;
2. x-map, spinor-vector duality and light Z' phenomenology. Spinor-vector duality as a tool to explore the moduli spaces of (2,0) string compactifications will also be discussed.
3. {\tilde S}-map and non-tachyonic string vacua from tachyonic 10D vacua.
"modular maps" are ubiquitous in compactifications to 2 dimensions reflecting the large symmetry space of 24 dimensional lattices. Initial steps to explore this symmetry structure will be discussed.