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Auxiliary-Field Formalism for Higher-Derivative Boundary CFTs
Gregorio Paci, Sergey N. Solodukhin
We study the conformal field theory defined by the fourth-order operator on four-dimensional manifolds with boundaries, reformulating it through an auxiliary field so that the dyna…
Cosmological singularity, conformal anomaly and symmetric polynomials
Sergey N. Solodukhin
We consider a spacetime singularity at arising in a Kasner-type metric that solves the gravitational equations modified by quantum effects of a conformal field theory (CFT)…
Islands for black holes in a hybrid quantum state
Yohan Potaux, Debajyoti Sarkar, Sergey N. Solodukhin
Following our previous work on hybrid quantum states in the RST model, we study its most interesting solution representing a completely regular spacetime with the structure of caus…
Manifestations of chiral anomaly in a graphene plate
Sergey N. Solodukhin
Inspired by the Dirac model model of graphene, we consider a -dimensional fermionic system in which fermions are described by four-component spinors. These fermions are prop…
Beltrami fields, dispersive electromagnetic waves and gravitational spheromaks from chiral anomaly
Sergey N. Solodukhin
In this note, we focus on the backreaction effects due to the chiral anomaly. The chiral anomaly modifies conserved currents, introducing new contributions. For Maxwell gauge field…
Hybrid quantum states in 2d dilaton gravity
Yohan Potaux, Debajyoti Sarkar, Sergey N. Solodukhin
The classical black hole spacetime is modified semiclassically, depending strongly on the choice of the quantum states. In particular, for the Boulware state the spacetime often ta…
Fermions, boundaries and conformal and chiral anomalies in and dimensions
Amin Faraji Astaneh, Sergey N. Solodukhin
In the presence of boundaries, the quantum anomalies acquire additional boundary terms. In odd dimensions the integrated conformal anomaly, for which the bulk contribution is known…
Space-time structure, asymptotic radiation and information recovery for a quantum hybrid state
Yohan Potaux, Debajyoti Sarkar, Sergey N. Solodukhin
A hybrid quantum state is a combination of the Hartle-Hawking state for the physical particles and the Boulware state for the non-physical ones (such as ghosts), as was introduced…
Quantum states and their back-reacted geometries in 2d dilaton gravity
Yohan Potaux, Debajyoti Sarkar, Sergey Solodukhin
Within the Russo-Susskind-Thorlacius (RST) two-dimensional model that includes a scalar (dilaton) field we address the important question of how the classical black hole geometry i…
Boundary conformal invariants and the conformal anomaly in five dimensions
Amin Faraji Astaneh, Sergey N. Solodukhin
In odd dimensions the integrated conformal anomaly is entirely due to the boundary terms \cite{Solodukhin:2015eca}. In this paper we present a detailed analysis of the anomaly in f…
Renormalization group equations and the recurrence pole relations in pure quantum gravity
Sergey N. Solodukhin
In the framework of dimensional regularization, we propose a generalization of the renormalization group equations in the case of the perturbative quantum gravity that involves ren…
Higher Derivative Scalar Quantum Field Theory in Curved Spacetime
G. W. Gibbons, C. N. Pope, Sergey Solodukhin
We study a free scalar field in a fixed curved background spacetime subject to a higher derivative field equation of the form , where is a polynomial of the for…
Logarithmic terms in entropy of Schwarzschild black holes in higher loops
Sergey N. Solodukhin
The Bekenstein-Hawking (BH) entropy is expected to be modified by certain correction terms in the quantum loop expansion. As is well known the logarithmic terms in the entropy of b…
The quantum fate of black hole horizons
Clement Berthiere, Debajyoti Sarkar, Sergey N. Solodukhin
The presence of a horizon is the principal marker for black holes as they appear in the classical theory of gravity. In General Relativity (GR), horizons have several defining prop…
Holographic calculation of entanglement entropy in the presence of boundaries
Amin Faraji Astaneh, Clement Berthiere, Dmitri Fursaev +1
When a spacetime has boundaries, the entangling surface does not have to be necessarily compact and it may have boundaries as well. Then there appear a new, boundary, contribution…
Holographic calculation of boundary terms in conformal anomaly
Amin Faraji Astaneh, Sergey N. Solodukhin
In the presence of boundaries the integrated conformal anomaly is modified by the boundary terms so that the anomaly is non-vanishing in any (even or odd) dimension. The boundary t…
Boundary effects in entanglement entropy
Clement Berthiere, Sergey N. Solodukhin
We present a number of explicit calculations of Renyi and entanglement entropies in situations where the entangling surface intersects the boundary in -dimensional Minkowski spa…
Anomalies, entropy and boundaries
Dmitri V. Fursaev, Sergey N. Solodukhin
A relation between the conformal anomaly and the logarithmic term in the entanglement entropy is known to exist for CFT's in even dimensions. In odd dimensions the local anomaly an…
Boundary terms of conformal anomaly
Sergey N. Solodukhin
We analyze the structure of the boundary terms in the conformal anomaly integrated over a manifold with boundaries. We suggest that the anomalies of type B, polynomial in the Weyl…
Metric Redefinition and UV Divergences in Quantum Einstein Gravity
Sergey N. Solodukhin
I formulate several statements demonstrating that the local metric redefinition can be used to reduce the UV divergences present in the quantum action for the Einstein gravity in $…
Comparison theorems for causal diamonds
Clement Berthiere, Gary Gibbons, Sergey N. Solodukhin
We formulate certain inequalities for the geometric quantities characterizing causal diamonds in curved and Minkowski spacetimes. These inequalities involve the red-shift factor wh…
The Wald entropy and 6d conformal anomaly
Amin Faraji Astaneh, Sergey N. Solodukhin
We analyze the Wald entropy for different forms of the conformal anomaly in six dimensions. In particular we focus on the anomaly which arises in a holographic calculation of Henni…
Newton constant, contact terms and entropy
Sergey N. Solodukhin
We discuss the renormalization of the Newton constant due to fields of various spin . We first briefly review the cases of already discussed in the li…
Entropy discrepancy and total derivatives in trace anomaly
Amin Faraji Astaneh, Alexander Patrushev, Sergey N. Solodukhin
In this note we address the discrepancy found by Hung, Myers and Smolkin between the holographic calculation of entanglement entropy (using the Jacobson-Myers functional for the ho…