Off-shell, maximal supersymmetry & exceptional geometry
Doktorsavhandling, 2015

Two lines of research are presented in this thesis, both with a focus on fundamental properties within the supersymmetric theories of high energy physics. The first features analyses based on the actions for maximal supersymmetric Yang–Mills theory and supergravity, provided by the pure spinor formalism. The second is the development of the theory of exceptional geometry. The analyses within maximally supersymmetric Yang–Mills theory and supergravity, benefitting from the pure spinor formalism, centres around the investigations of the UV divergences of the amplitude diagrams, where the case of maximal supergravity is subject to ongoing research. There is currently an interesting development in connection to the four-dimensional theory, regarding a possible finiteness, indicated in the pure spinor formalism setting of the research articles appended to this thesis. The results are contrary to the expected divergence, currently of amplitude diagrams with more than six loops. Exceptional geometry is an extension of supergravity that is constructed to incorporate U-duality. It is a geometric formulation with an extended space, in a way similar to in doubled geometry, where T-duality is the symmetry accommodated for. Constituting a rather recent area of research, the theory is under development with respect to the inherent symmetries, the tensor formalism, etc., regarding the properties affected by the extended space. Its recognised features, construction and concepts to be investigated are the objects of interest in this thesis.

Maximal supersymmetry

pure spinors

exceptional geometry

maximal supergravity

loop amplitudes

U-duality

high energy particle physics

PJ-salen, Fysikgården 1, Origo vån 4, Chalmers
Opponent: Prof. Nathan Berkovits, IFT-UNESP, ICTP-SAIFR, Brasil

Författare

Anna Karlsson

Chalmers, Fundamental fysik

Loop amplitudes in maximal supergravity with manifest supersymmetry

Journal of High Energy Physics,; Vol. 2013(2012)p. 114-

Artikel i vetenskaplig tidskrift

Exceptional geometry and tensor fields

Journal of High Energy Physics,; (2013)

Artikel i vetenskaplig tidskrift

Ultraviolet divergences in maximal supergravity from a pure spinor point of view

Journal of High Energy Physics,; (2014)p. art. 165-

Artikel i vetenskaplig tidskrift

Pure spinor superfields and Born-Infeld theory

Journal of High Energy Physics,; Vol. 2011(2011)

Artikel i vetenskaplig tidskrift

Fundament

Grundläggande vetenskaper

Ämneskategorier

Annan fysik

ISBN

978-91-7597-230-5

Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie

PJ-salen, Fysikgården 1, Origo vån 4, Chalmers

Opponent: Prof. Nathan Berkovits, IFT-UNESP, ICTP-SAIFR, Brasil