59 research outputs found
Theories with Memory
Dimensionally reduced supersymmetric theories retain a great deal of
information regarding their higher dimensional origins. In superspace, this
"memory" allows us to restore the action governing a reduced theory to that
describing its higher-dimensional progenitor. We illustrate this by restoring
four-dimensional N=4 Yang-Mills to its six-dimensional parent, N=(1,1)
Yang-Mills. Supersymmetric truncation is introduced into this framework and
used to obtain the N=1 action in six dimensions. We work in light-cone
superspace, dealing exclusively with physical degrees of freedom.Comment: 18 pages, reference adde
Light-cone gravity in dS
We derive a closed form expression for the light-cone Lagrangian describing
pure gravity on a four-dimensional de Sitter background. We provide a
perturbative expansion, of this Lagrangian, to cubic order in the fields.Comment: 11 page
Factorization of cubic vertices involving three different higher spin fields
We derive a class of cubic interaction vertices for three higher spin fields,
with integer spins , , , by closing
commutators of the Poincar\'e algebra in four-dimensional flat spacetime. We
find that these vertices exhibit an interesting factorization property which
allows us to identify off-shell perturbative relations between them.Comment: 7 page
Maximal supergravity and the quest for finiteness
We show that N = 8 supergravity may possess an even larger symmetry than
previously believed. Such an enhanced symmetry is needed to explain why this
theory of gravity exhibits ultraviolet behaviour reminiscent of the finite N =
4 Yang-Mills theory. We describe a series of three steps that leads us to this
result.Comment: 7 pages, Honorable Mention - Gravity Research Foundation 201
Yang-Mills theories and quadratic forms
We show that the Hamiltonian of (N=1;d=10) super Yang-Mills can be expressed
as a quadratic form in a very similar manner to that of the (N=4;d=4) theory.
We find a similar quadratic form structure for pure Yang-Mills theory but this
feature, in the non-supersymmetric case, seems to be unique to four dimensions.
We discuss some consequences of this feature.Comment: 12 page
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