Boundary Terms, Spinors and Kerr/CFT

Melanie Becker; Waldemar Schulgin

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Boundary Terms, Spinors and Kerr/CFT

Melanie Becker, Waldemar Schulgin

High Energy Physics - Theory · Submitted 7 Feb 2012

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim This two-point function agrees with the correlator of a two dimensional relativistic conformal field theory.

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Similarly as in AdS/CFT, the requirement that the action for spinors be stationary for solutions to the Dirac equation with fixed boundary conditions determines the form of the boundary term that needs to be added to the standard Dirac action in Kerr/CFT. We determine this boundary term and make use of it to calculate the two-point function for spinor fields in Kerr/CFT. This two-point function agrees with the correlator of a two dimensional relativistic conformal field theory.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Similarly as in AdS/CFT, the requirement that the action for spinors be stationary for solutions to the Dirac equation with fixed boundary conditions determines the form of the boundary term that needs to be added to the standard Dirac action in Kerr/CFT.	method 0.78	0.35	0.16	asserted 1.00
s1	We determine this boundary term and make use of it to calculate the two-point function for spinor fields in Kerr/CFT.	contribution 0.87	0.96	0.16	asserted 1.00
s2	This two-point function agrees with the correlator of a two dimensional relativistic conformal field theory.	result 0.97	0.89	0.61	asserted 1.00

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The paper

Original abstract

Similarly as in AdS/CFT, the requirement that the action for spinors be stationary for solutions to the Dirac equation with fixed boundary conditions determines the form of the boundary term that needs to be added to the standard Dirac action in Kerr/CFT. We determine this boundary term and make use of it to calculate the two-point function for spinor fields in Kerr/CFT. This two-point function agrees with the correlator of a two dimensional relativistic conformal field theory.

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4 arXiv papers cite this in 18 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 16 sentences without a confident label

Compares with it 1 paper

Similar momentum-dependent coefficients previously have been found for the two-point functions of spin-1/2 operators [ref] as well as spin-1 operators [ref] .

Gravitational Perturbation and Kerr/CFT Correspondence · The boundary action for the gravitational perturbation · 0.81

Cites it as background 1 paper

For simplicity, we will not discuss further fermionic fields here and we refer the interested reader to the original reference [ref] (see also [ref] ).

The Kerr/CFT correspondence and its extensions: a comprehensive review · Macroscopic greybody factors · 0.87

What it cites · 16 sentences without a confident label

Uses the method or tool of 1 paper

Following [ref] the metric of the near-NHEK space-time is obtained by performing the expansions [equation] coordinate redefinitions [equation] and taking limit $λ≪1$ while keeping $T_R$ fixed.

Holographic Derivation of Kerr-Newman Scattering Amplitudes for General Charge and Spin · Near-NHEK Geometry · 0.95

Compares with 4 papers

(5.13) of [ref] into our definition of $n_R$.] [equation] This matches the expression computed on the bulk side.

Black Hole Superradiance From Kerr/CFT · Fermionic Two-Point Function: CFT Result · 0.95
The expression [ref] agrees with the proposal of [ref] .

Real-time correlators in Kerr/CFT correspondence · Fermionic Two-Point Function: the Bulk · 0.86
A similar factor emerges in AdS/CFT calculations [ref] .

Real-time response in AdS/CFT with application to spinors · Fermionic Two-Point Function: the Bulk · 0.96

Cites as background 9 papers

The concrete proposal of [ref] is that the near horizon region of a near-extremal Kerr black hole (the so called near-NHEK geometry) is dual to a two dimensional conformal field theory.

The Kerr/CFT Correspondence · Introduction · 0.85
Let's recapitulate some highlights for spinor fields in AdS/CFT, which will become handy later on (see [ref] , [ref] , [ref] , [ref] for more details).

Real-time response in AdS/CFT with application to spinors · Introduction · 1.00
Let's recapitulate some highlights for spinor fields in AdS/CFT, which will become handy later on (see [ref] , [ref] , [ref] , [ref] for more details).

Conformal Field Theory Correlators from Classical Field Theory on Anti-de Sitter Space II. Vector and Spinor Fields · Introduction · 1.00

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