Dec 14 – 15, 2023
Centre for Particle Theory
Europe/London timezone

Spencer cohomology and supergravity

Not scheduled
Centre for Particle Theory

Centre for Particle Theory

Department of Physics Durham University South Road Durham DH1 3LE
Long Talk (20 mins)


Andrew Beckett (University of Edinburgh)


Bosonic backgrounds in supergravity theories are classical solutions in which all fermionic fields vanish. Such a solution is said to be supersymmetric if it is preserved by a supersymmetry transformation of the theory. Apart from their intrinsic interest as the simplest solutions in supergravity theories, supersymmetric backgrounds arise in a number of other guises: as string theory vacua, as particular types of black holes and as settings with curvature on which one can place (rigid) supersymmetric field theories. They also often carry interesting geometric structures, such as (hyper-)Kaehler structures.

In this talk, I will describe how an algebraic tool known as Spencer cohomology can be used to understand the supersymmetry algebras of these backgrounds, and, time permitting, how it allows us to generalise the notion of supersymmetric backgrounds.

Are you happy for your talk to be recorded? Yes
Please select the most relevant category SUSY
Other category: supergravity, mathematical physics
Would you be interested in receiving feedback on your presentation? Yes

Primary author

Andrew Beckett (University of Edinburgh)

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