SciPost Phys. 5, 048 (2018) ·
published 12 November 2018

· pdf
It has been recently shown that the deformation of an arbitrary
twodimensional conformal field theory by the composite irrelevant operator $T
\bar T$, built from the components of the stress tensor, is solvable; in
particular, the finitesize spectrum of the deformed theory can be obtained
from that of the original CFT through a universal formula. We study a similarly
universal, Lorentzbreaking deformation of twodimensional CFTs that posess a
conserved $U(1)$ current, $J$. The deformation takes the schematic form $J \bar
T$ and is interesting because it preserves an $SL(2,\mathbb{R}) \times U(1)$
subgroup of the original global conformal symmetries. For the case of a purely
(anti)chiral current, we find the finitesize spectrum of the deformed theory
and study its thermodynamic properties. We test our predictions in a simple
example involving deformed free fermions.
SciPost Phys. 3, 016 (2017) ·
published 28 August 2017

· pdf
We revisit the holographic construction of (approximately) local bulk
operators inside an eternal AdS black hole in terms of operators in the
boundary CFTs. If the bulk operator carries charge, the construction must
involve a qualitatively new object: a Wilson line that stretches between the
two boundaries of the eternal black hole. This operator  more precisely, its
zero mode  cannot be expressed in terms of the boundary currents and only
exists in entangled states dual to twosided geometries, which suggests that it
is a statedependent operator. We determine the action of the Wilson line on
the relevant subspaces of the total Hilbert space, and show that it behaves as
a local operator from the point of view of either CFT. For the case of three
bulk dimensions, we give explicit expressions for the charged bulk field and
the Wilson line. Furthermore, we show that when acting on the thermofield
double state, the Wilson line may be extracted from a limit of certain standard
CFT operator expressions. We also comment on the relationship between the
Wilson line and previously discussed mirror operators in the eternal black
hole.
Dr Guica: "First, I would like to thank t..."
in Report on An integrable Lorentzbreaking deformation of twodimensional CFTs