Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supersymmetry and Irrelevant Deformations   The $T \overline{T}$ operator provides a universal irrelevant deformation of
two-dimensional quantum field theories with remarkable properties, including
connections to both string theory and holography beyond $\mathrm{AdS}$
spacetimes. In particular, it appears that a $T \overline{T}$-deformed theory
is a kind of new structure, which is neither a local quantum field theory nor a
full-fledged string theory, but which is nonetheless under some analytic
control. On the other hand, supersymmetry is a beautiful extension of
Poincar\'e symmetry which relates bosonic and fermionic degrees of freedom. It
is natural to ask what one can learn about irrelevant deformations in
supersymmetric quantum field theories.
  In this thesis, we describe a presentation of the $T \overline{T}$
deformation in manifestly supersymmetric settings. We define a
``supercurrent-squared'' operator, which is closely related to $T
\overline{T}$, in any two-dimensional theory with $(0, 1)$, $(1, 1)$, or $(2,
2)$ supersymmetry. This deformation generates a flow equation for the
superspace Lagrangian of the theory, which therefore makes the supersymmetry
manifest. In certain examples, the deformed theories produced by
supercurrent-squared are related to superstring and brane actions, and some of
these theories possess extra non-linearly realized supersymmetries. We then
show that $T \overline{T}$ defines a new theory of both abelian and non-abelian
gauge fields coupled to charged matter, which includes models compatible with
maximal supersymmetry.
  Most of this thesis is adapted from previous publications. However, the final
chapter presents new results on $T \overline{T}$-like deformations of general
gauge theories in an arbitrary number of spacetime dimensions; this analysis
has not appeared in past work.

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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: math
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph