7–11 Jul 2025
Northeastern University
US/Eastern timezone

SL(2,Z), commutators and bordisms between 9d type IIB supergravities

8 Jul 2025, 14:24
17m
ISEC (Northeastern University)

ISEC

Northeastern University

Interdisciplinary Science & Engineering Complex (ISEC) 805 Columbus Ave, Boston, MA 02120

Speaker

Ignacio Ruiz

Description

Using type IIB 9d gauged supergravities as an example, I will discuss how non-trivial topology plays a crucial role in bordisms to nothing or to other gauged supergravities, by allowing monodromies along its 1-cycles, which reduces the number of bordism defects that naively one would have needed. I will then explain how a property of the duality group, in this case SL(2,Z), known as commutator width, restricts the general viability of this approach, in such a way that additional defects must be considered or the duality bundle enlarged.

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