Two-dimensional conformal field theories: the irrational, the rational and the celestial by Jorge Díaz, C

“…<p>The aim of this thesis is to explore the world of two-dimensional Conformal Field Theories via bootstrap techniques. …”

Scrambling and recovery of quantum information in inhomogeneous quenches in two-dimensional conformal field theories by Kanato Goto, Masahiro Nozaki, Shinsei Ryu, Kotaro Tamaoka, Mao Tian Tan

“…We study various quantum quench processes induced by the Möbius/sine-square deformation of the Hamiltonian in two-dimensional conformal field theories starting from the thermofield double state in the two copies of the Hilbert space. …”
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Universal thermal corrections to single interval entanglement entropy for two dimensional conformal field theories. by Cardy, J, Herzog, C

“…We consider single interval Rényi and entanglement entropies for a two dimensional conformal field theory on a circle at nonzero temperature. …”

Hidden conformal symmetries in Kerr–de Sitter spacetime revisited by Haryanto M. Siahaan

“…As one would expect, the cosmological horizon entropy and the associated scalar scattering can be understood by using a two dimensional conformal field theory.…”
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Minkowski-space correlators in AdS/CFT correspondence: Recipe and applications by Son, D, Starinets, A

“…This prescription is shown to give the correct retarded propagators at zero temperature in four dimensions, as well as at finite temperature in the two-dimensional conformal field theory dual to the BTZ black hole. …”

Emergent conformal symmetry in nonunitary random dynamics of free fermions by Xiao Chen, Yaodong Li, Matthew P. A. Fisher, Andrew Lucas

“…Moreover, starting with a short-range entangled many-body state, the dynamical evolution of entanglement and correlations quantitatively agrees with the predictions of two-dimensional conformal field theory with a spacelike time direction. …”
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Scalar modular bootstrap and zeros of the Riemann zeta function by Nathan Benjamin, Cyuan-Han Chang

“…Abstract Using the technology of harmonic analysis, we derive a crossing equation that acts only on the scalar primary operators of any two-dimensional conformal field theory with U(1) c symmetry. From this crossing equation, we derive bounds on the scalar gap of all such theories. …”
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Boundary and bulk notions of transport in the AdS3/CFT2 correspondence by Bowen Chen, Bartłomiej Czech, Jan de Boer, Lampros Lamprou, Zi-zhi Wang

“…Abstract We construct operators in holographic two-dimensional conformal field theory, which act locally in the code subspace as arbitrary bulk spacelike vector fields. …”
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Modular bootstrap, elliptic points, and quantum gravity by Ferdinando Gliozzi

“…The modular bootstrap program for two-dimensional conformal field theories could be seen as a systematic exploration of the physical consequences of consistency conditions at the elliptic points and at the cusp of their torus partition function. …”
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Entanglement entropy in conformal quantum mechanics by Michele Arzano, Alessandra D’Alise, Domenico Frattulillo

“…We calculate the entanglement entropy associated to the thermofield double states and obtain a UV divergent logarithmic behaviour analogous to known results in two-dimensional conformal field theory in which the entangling boundary is point-like.…”
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Missing corner in the sky: massless three-point celestial amplitudes by Chi-Ming Chang, Wen-Jie Ma

“…We further show that when expanding in the (shadow) conformal basis for the incoming (outgoing) particle wave functions, the amplitudes take the standard form of correlators in two-dimensional conformal field theory. In particular, the three-point celestial gluon amplitudes take the form of a three-point function of a spin-one current with two spin-one primary operators, which strongly supports the relation between soft spinning particles and conserved currents. …”
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Brane detectors of a dynamical phase transition in a driven CFT by Suchetan Das, Bobby Ezhuthachan, Arnab Kundu, Somnath Porey, Baishali Roy, Krishnendu Sengupta

“…We show that a dynamical transition from a non-heating to a heating phase of a periodic $SL(2,\mathbb{R})$ driven two dimensional conformal field theory (CFT) with a large central charge is perceived as a first order transition by a bulk brane embedded in the dual AdS. …”
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Zoo of holographic moving mirrors by Ibrahim Akal, Taishi Kawamoto, Shan-Ming Ruan, Tadashi Takayanagi, Zixia Wei

“…Abstract We systematically study moving mirror models in two-dimensional conformal field theory (CFT). By focusing on their late-time behavior, we separate the mirror profiles into four classes, named type A (timelike) mirrors, type B (escaping) mirrors, type C (chasing) mirrors, and type D (terminated) mirrors. …”
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Entanglement and geometry from subalgebras of the Virasoro algebra by Pawel Caputa, Dongsheng Ge

“…Abstract In this work we study families of generalised coherent states constructed from SL(2,R) subalgebras of the Virasoro algebra in two-dimensional conformal field theories. We derive the energy density and entanglement entropy and discuss their equivalence with analogous quantities computed in locally excited states. …”
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OPE coefficients and the mass-gap from the integrable scattering description of 2D CFT’s by Zoltan Bajnok, Romuald A. Janik

“…Abstract Many two-dimensional conformal field theories have an alternative integrable scattering description, which reproduces their spectrum of conformal weights. …”
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Information metric on the boundary by Kenta Suzuki, Yu-ki Suzuki, Takashi Tsuda, Masataka Watanabe

“…Abstract The information metric on the space of boundary coupling constants in two-dimensional conformal field theories is studied. Such a metric is related to the Casimir energy difference of the theory defined on an interval. …”
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Modular constraints on conformal field theories with currents by Bae, J-B, Lee, S, Song, J

“…We study constraints coming from the modular invariance of the partition function of two-dimensional conformal field theories. We constrain the spectrum of CFTs in the presence of holomorphic and anti-holomorphic currents using the semi-definite programming. …”

Shape Dynamics of the <inline-formula><math display="inline"><semantics><mrow><mi>T</mi><mover accent="true"><mi>T</mi><mo stretchy="false">¯</mo></mover></mrow></semantics></math>... by Vasudev Shyam

“…I will show how the flow triggered by deforming two-dimensional conformal field theories on a torus by the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>T</mi><mover accent="true"><mi>T</mi><mo stretchy="false">¯</mo></mover></mrow></semantics></math></inline-formula> operator is identical to the evolution generated by the (radial) quantum Shape Hamiltonian in 2 + 1 dimensions. …”
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Holographic quantum scars by Diego Liska, Vladimir Gritsev, Ward Vleeshouwers, Jiří Minář

“…We consider two-dimensional conformal field theories and use their dynamical symmetries, naturally realized through the Virasoro algebra, to construct scarred states. …”
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Non-Gaussianities in the statistical distribution of heavy OPE coefficients and wormholes by Alexandre Belin, Jan de Boer, Diego Liska

“…In this paper, we investigate non- Gaussian corrections to the statistical distribution of heavy-heavy-heavy OPE coefficients in chaotic two-dimensional conformal field theories. Using the Virasoro crossing kernels, we provide asymptotic formulas involving arbitrary numbers of OPE coefficients from modular invariance on genus-g surfaces. …”
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