Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $T \bar{T}$ deformation of the Ising model and its ultraviolet
  completion   Pure $T\bar{T}$ deformations of conformal field theories are generally
asymptotically incomplete in the ultra-violet (UV) due to square-root
singularities in the ground state energy on a cylinder of circumference $R$,
such that the theory is ill-defined for distances shorter than some critical
$R_*$. In this article we show how a theory can be completed if one includes an
infinite number of additional irrelevant perturbations. This is fully
demonstrated in the case of the Ising model at $c_{IR}= 1/2$ in the infra-red
(IR), where we find two completions with central charges $c_{UV} = 3/2$ and
$c_{UV} = 7/10$, the latter being the tri-critical Ising model. Both of these
UV completions have ${\cal N}=1$ supersymmetry which is broken in the
renormalization group flow to low energies. We also consider multiple
$T\bar{T}$ deformations of a free massless boson, where we cannot find a UV
completion that is consistent with the c-theorem. For negative coupling $g$,
which violates the c-theorem, in both cases we find $c_{UV} = -c_{IR}$ as $g
\to -\infty$. Finally we also study pure $T\bar{T}$ deformations of the
off-critical Ising model.

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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga