Boundary conformal invariants and the conformal anomaly in five dimensions

Astaneh, Amin Faraji; Solodukhin, Sergey N.

doi:10.1016/j.physletb.2021.136282

Cited by 9 publications

(1 citation statement)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…x. 6 It is worth mentioning that the topological Euler invariant has been studied in relation to Weyl conformal anomaly in four derivative theories such as conformal gravity and conformal supergravity [40] as well as in the context of boundary conformal invariants in five dimensions [41]. + 280Λ 4 a 8 r 8 + 24Λ 2 a 8 q 4 cos(θ) 8…”

Section: Analytic Computation Of Curvature Invariants For the Kerr-ne...mentioning

confidence: 99%

Curvature invariants for accelerating Kerr–Newman black holes in (anti-)de Sitter spacetime

Kraniotis

2022

Class. Quantum Grav.

View full text Add to dashboard Cite

The curvature scalar invariants of the Riemann tensor are important in General Relativity because they allow a manifestly coordinate invariant characterisation of certain geometrical properties of spacetimes such as, among others, curvature singularities, gravitomagnetism. We calculate explicit analytic expressions for the set of Zakhary-McIntosh curvature invariants for accelerating Kerr-Newman black holes in (anti-)de Sitter spacetime as well as for the Kerr-Newman-(anti-)de Sitter black hole. These black hole metrics belong to the most general type D solution of the Einstein-Maxwell equations with a cosmological constant. Explicit analytic expressions for the Euler-Poincare density invariant, which is relevant for the computation of the Euler-Poincare characteristic χ(M), and the Kretschmann scalar are also provided for both cases. We perform a detailed plotting of the curvature invariants that reveal a rich structure of the spacetime geometry surrounding the singularity of a rotating, electrically charged and accelerating black hole . These graphs also help us in an exact mathematical way to explore the interior of these black holes. Our explicit closed form expressions show that the above gravitational backgrounds possess a non-trivial Hirzebruch signature density. Possible physical applications of this property for the electromagnetic duality anomaly in curved spacetimes that can spoil helicity conservation are brieﬂy discussed.

show abstract

Section: Analytic Computation Of Curvature Invariants For the Kerr-ne...mentioning

confidence: 99%

Curvature invariants for accelerating Kerr–Newman black holes in (anti-)de Sitter spacetime

Kraniotis

2022

Class. Quantum Grav.

View full text Add to dashboard Cite

show abstract

Weyl anomalies of four dimensional conformal boundaries and defects

Chalabi

Herzog

O’Bannon

et al. 2022

J. High Energ. Phys.

View full text Add to dashboard Cite

Motivated by questions about quantum information and classification of quantum field theories, we consider Conformal Field Theories (CFTs) in spacetime dimension d ≥ 5 with a conformally-invariant spatial boundary (BCFTs) or 4-dimensional conformal defect (DCFTs). We determine the boundary or defect contribution to the Weyl anomaly using the standard algorithm, which includes imposing Wess-Zumino consistency and fixing finite counterterms. These boundary/defect contributions are built from the intrinsic and extrinsic curvatures, as well as the pullback of the ambient CFT’s Weyl tensor. For a co-dimension one boundary or defect (i.e. d = 5), we reproduce the 9 parity-even terms found by Astaneh and Solodukhin, and we discover 3 parity-odd terms. For larger co-dimension, we find 23 parity-even terms and 6 parity-odd terms. The coefficient of each term defines a “central charge” that characterizes the BCFT or DCFT. We show how several of the parity-even central charges enter physical observables, namely the displacement operator two-point function, the stress-tensor one-point function, and the universal part of the entanglement entropy. We compute several parity-even central charges in tractable examples: monodromy and conical defects of free, massless scalars and Dirac fermions in d = 6; probe branes in Anti-de Sitter (AdS) space dual to defects in CFTs with d ≥ 6; and Takayanagi’s AdS/BCFT with d = 5. We demonstrate that several of our examples obey the boundary/defect a-theorem, as expected.

show abstract

Boundaries in free higher derivative conformal field theories

Chalabi

Herzog

Ray

et al. 2023

J. High Energ. Phys.

View full text Add to dashboard Cite

We consider free higher derivative theories of scalars and Dirac fermions in the presence of a boundary in general dimension. We establish a method for finding consistent conformal boundary conditions in these theories by removing certain boundary primaries from the spectrum. A rich set of renormalization group flows between various conformal boundary conditions is revealed, triggered by deformations quadratic in the boundary primaries. We compute the free energy of these theories on a hemisphere, and show that the boundary a-theorem is generally violated along boundary flows as a consequence of bulk non-unitarity. We further characterize the boundary theory by computing the two-point function of the displacement operator.

show abstract

Boundary conformal invariants and the conformal anomaly in five dimensions

Cited by 9 publications

References 28 publications

Curvature invariants for accelerating Kerr–Newman black holes in (anti-)de Sitter spacetime

Curvature invariants for accelerating Kerr–Newman black holes in (anti-)de Sitter spacetime

Weyl anomalies of four dimensional conformal boundaries and defects

Boundaries in free higher derivative conformal field theories

Contact Info

Product

Resources

About