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Cardy-Verlinde Formula of Noncommutative Schwarzschild Black Hole
Published 2014-01-01“…The Cardy-Verlinde formula is entropy formula of conformal field theory in an arbitrary dimension. It relates the entropy of conformal field theory to its total energy and Casimir energy. …”
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Universal bounds on CFT Distance Conjecture
Published 2024-12-01“…In the limit, we also find that an infinite tower of primary operators emerges without a gap above the vacuum and that the conformal field theory becomes locally a tensor product of a sigma-model in the large radius limit and a compact theory. …”
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CFT and Logarithmic Corrections to the Black Hole Entropy Product Formula
Published 2017-01-01“…We examine the logarithmic corrections to the black hole (BH) entropy product formula of outer horizon and inner horizon by taking into account the effects of statistical quantum fluctuations around the thermal equilibrium and via conformal field theory (CFT). We argue that, in logarithmic corrections to the BH entropy product formula when calculated using CFT and taking into account the effects of quantum fluctuations around the thermal equilibrium, the formula should not be universal and it also should not be quantized. …”
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Cardy-Verlinde Formula and Its Self-Gravitational Corrections for Regular Black Holes
Published 2014-01-01“…We check the consistency of the entropy of Bardeen and Ayón Beato-García-Bronnikov black holes with the entropy of particular conformal field theory via Cardy-Verlinde formula. We also compute the first-order semiclassical corrections of this formula due to self-gravitational effects by modifying pure extensive and Casimir energy in the context of Keski-Vakkuri, Kraus and Wilczek analysis. …”
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Thermal correlators and currents of the W 3 $$ {\mathcal{W}}_3 $$ algebra
Published 2025-01-01“…Abstract Two dimensional conformal field theories with the extended W 3 $$ {\mathcal{W}}_3 $$ symmetry algebra have an infinite number of mutually commuting conserved charges, which are referred to as the quantum Boussinesq charges. …”
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Studying the 3d Ising surface CFTs on the fuzzy sphere
Published 2025-01-01“…In this paper, we demonstrate that conformal field theory (CFT) with a boundary, known as surface CFT in three dimensions, can be studied with the setup of fuzzy sphere. …”
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Critical spin chains and loop models with $PSU(n)$ symmetry
Published 2025-01-01“…Both models make sense for $n,Q∈ \mathbb{C}$ and not just $n,Q∈ \mathbb{N}$, and both give rise to a conformal field theory in the critical limit. Here, we study similar models based on the group $PSU(n)$. …”
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Entanglement dynamics in 2d HCFTs on the curved background: the case of q-Möbius Hamiltonian
Published 2024-12-01“…Abstract We will explore the dynamical property of non-equilibrium phenomena induced by two-dimensional holographic conformal field theory (2d holographic CFT) Hamiltonian on the curved spacetime by studying the time dependence of the entanglement entropy and mutual information. …”
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Checkerboard CFT
Published 2025-01-01“…Abstract The Checkerboard conformal field theory is an interesting representative of a large class of non-unitary, logarithmic Fishnet CFTs (FCFT) in arbitrary dimension which have been intensively studied in the last years. …”
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Species scale, worldsheet CFTs and emergent geometry
Published 2024-12-01“…Moreover, under some technical assumptions on the spectrum of conformal weights, the cutoff scales with the spectral gap of the internal conformal field theory in the same manner as in decompactification or emergent string limits, regardless of supersymmetry or whether the internal sector is geometric. …”
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Quantum dynamics of the effective field theory of the Calogero-Sutherland model
Published 2025-03-01“…We consider the known effective field theory of the Calogero-Sutherland model in the thermodynamic limit of large number of particles, obtained from the standard procedure in conformal field theory: the Hilbert space is constructed a priori in terms of irreducible representations of the symmetry algebra, and not by diagonalization of the hamiltonian, which is given in terms of fields that carry representations of the W1+∞ algebra (representing the incompressibility of the Fermi sea). …”
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Resurgence in Liouville theory
Published 2025-01-01“…Abstract Liouville conformal field theory is a prototypical example of an exactly solvable quantum field theory, in the sense that the correlation functions in an arbitrary background can be determined exactly using only the constraints of unitarity and crossing symmetry. …”
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Entanglement microscopy and tomography in many-body systems
Published 2025-01-01“…Our main results are: i) the Ising QCP exhibits short-range entanglement with a finite sudden death of the LN both in space and temperature; ii) the Gross-Neveu QCP has a power-law decaying fermionic LN consistent with conformal field theory (CFT) exponents; iii) going beyond bipartite entanglement, we find no detectable 3-party entanglement with our two witnesses in a large parameter window near the Ising QCP in 2d, in contrast to 1d. …”
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Long-distance N-partite information for fermionic CFTs
Published 2024-12-01“…Abstract The mutual information, I 2, of general spacetime regions is expected to capture the full data of any conformal field theory (CFT). For spherical regions, this data can be accessed from long-distance expansions of the mutual information of pairs of regions as well as of suitably chosen linear combinations of mutual informations involving more than two regions and their unions — namely, the N-partite information, I N . …”
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Higher-dimensional Willmore energy as holographic entanglement entropy
Published 2025-01-01“…Abstract The vacuum entanglement entropy of a general conformal field theory (CFT) in d = 5 spacetime dimensions contains a universal term, F(A), which has a complicated and non-local dependence on the geometric details of the region A and the theory. …”
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Gauging the diamond: integrable coset models from twistor space
Published 2024-12-01“…Abstract Recent work has shown that certain integrable and conformal field theories in two dimensions can be given a higher-dimensional origin from holomorphic Chern-Simons in six dimensions. …”
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Sphere quantization of Higgs and Coulomb branches and Analytic Symplectic Duality
Published 2025-01-01“…Abstract We employ the protected sphere correlation functions of three-dimensional Super Conformal Field Theories with eight supercharges in order to define a quantization of their Higgs and Coulomb branches of vacua as real phase spaces. …”
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3D bulk field theories for 2D non-unitary N $$ \mathcal{N} $$ = 1 supersymmetric minimal models
Published 2025-01-01“…The correspondence relates a 3D N $$ \mathcal{N} $$ = 4 rank-0 superconformal field theory to 2D chiral rational conformal field theories. A topologically twisted theory of the rank-0 SCFT supports the rational chiral algebra at the boundary upon a proper choice of boundary condition. …”
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Non-Supersymmetric CS-Matter Theories with Known AdS Duals
Published 2011-01-01“…We consider three-dimensional conformal field theories living on a stack of N anti-M2 branes at the tip of eight-dimensional supersymmetric cones. …”
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