Thesis etd-11212022-171254 |
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Thesis type
Tesi di laurea magistrale
Author
BARBAGALLO, GABRIELE
URN
etd-11212022-171254
Thesis title
Superspace Sen’s Mechanism for anti-selfdual N = 1 Super Maxwell theory in D = 4
Department
FISICA
Course of study
FISICA
Supervisors
relatore Prof. Grassi, Pietro Antonio
correlatore Prof. D'Elia, Massimo
correlatore Prof. D'Elia, Massimo
Keywords
- rheonomy
- self-duality
- Sen's mechanism
- super Yang-Mills
- supergeometry
Graduation session start date
12/12/2022
Availability
Withheld
Release date
12/12/2092
Summary
In several elementary particle scenarios, self-dual fields emerge as fundamental degrees of
freedom. For instance in D = 2 chiral boson, D = 10 Type IIB supergravity and D = 6
chiral tensor multiplet theory. For those models, a fully satisfactory variational principle was
missing until the works of Ashoke Sen. We adapt the same technique to the case of self-dual
super Maxwell gauge theory in Euclidean spacetime both in the component formalism and
in the superspace. For the latter, we use the geometric tools of rheonomy together with
the integral forms. We show the equivalence between the two formulations by choosing a
different integral form defined by means of a Picture Changing Operator. That leads to a
meaningful action functional for the variational equations. In addition, we couple the model
to a non-dynamical gravitino in order to extend the analysis slightly beyond the rigid case.
A full-fledged supergravity extention will deserve further research.
freedom. For instance in D = 2 chiral boson, D = 10 Type IIB supergravity and D = 6
chiral tensor multiplet theory. For those models, a fully satisfactory variational principle was
missing until the works of Ashoke Sen. We adapt the same technique to the case of self-dual
super Maxwell gauge theory in Euclidean spacetime both in the component formalism and
in the superspace. For the latter, we use the geometric tools of rheonomy together with
the integral forms. We show the equivalence between the two formulations by choosing a
different integral form defined by means of a Picture Changing Operator. That leads to a
meaningful action functional for the variational equations. In addition, we couple the model
to a non-dynamical gravitino in order to extend the analysis slightly beyond the rigid case.
A full-fledged supergravity extention will deserve further research.
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