Holographic Currents and Chern-Simons Terms

S.T. Love; T.E. Clark; T. ter Veldhuis

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Holographic Currents and Chern-Simons Terms

T.E. Clark, S.T. Love, T. ter Veldhuis

High Energy Physics - Theory · Submitted 11 Jun 2010

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

The authors' main claim The effects of specific string loop corrections to the bulk action are included as four derivative effective lagrangian terms and their contributions to the trace and R-symmetry anomalies of the boundary theory are determined.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.07 · mentions code or data availability 0.01.

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Holographic currents and their associated Ward identities are derived in the framework of gravity/gauge duality. Holographic improvements of the energy-momentum tensor and R-symmetry current which are consistent with the Ward identities are displayed. The effects of specific string loop corrections to the bulk action are included as four derivative effective lagrangian terms and their contributions to the trace and R-symmetry anomalies of the boundary theory are determined. As an example, the construction is applied to the N=2 conformal supergravity which is taken to be dual to a boundary SU(N)xSU(N), N=1 superconformal field theory.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Holographic currents and their associated Ward identities are derived in the framework of gravity/gauge duality.	contribution 0.86	0.84	0.15	asserted 1.00
s1	Holographic improvements of the energy-momentum tensor and R-symmetry current which are consistent with the Ward identities are displayed.	result 0.62	0.88	0.18	asserted 0.99
s2	The effects of specific string loop corrections to the bulk action are included as four derivative effective lagrangian terms and their contributions to the trace and R-symmetry anomalies of the boundary theory are determined.	contribution 0.50	0.89	0.29	asserted 1.00
s3	As an example, the construction is applied to the N=2 conformal supergravity which is taken to be dual to a boundary SU(N)xSU(N), N=1 superconformal field theory.	contribution 0.57	0.84	0.08	asserted 0.98

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The paper

Original abstract

Holographic currents and their associated Ward identities are derived in the framework of gravity/gauge duality. Holographic improvements of the energy-momentum tensor and R-symmetry current which are consistent with the Ward identities are displayed. The effects of specific string loop corrections to the bulk action are included as four derivative effective lagrangian terms and their contributions to the trace and R-symmetry anomalies of the boundary theory are determined. As an example, the construction is applied to the N=2 conformal supergravity which is taken to be dual to a boundary SU(N)xSU(N), N=1 superconformal field theory.

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References

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Holographic Gravitational Anomaly and Chiral Vortical Effect
hep-th 2011-07 conditional novelty 7.0 of 10

A holographic model with a mixed gauge-gravitational Chern-Simons term yields the same T-squared chiral vortical conductivity as free chiral fermions, suggesting the coefficient is not renormalized.
Anomalous Transport from Kubo Formulae
hep-th 2012-07 conditional novelty 2.0 of 10

The chiral vortical conductivity of a relativistic fluid contains a temperature-squared term proportional to the mixed gauge-gravitational anomaly, reproduced by both free-fermion and holographic calculations.

How the literature uses it

5 arXiv papers cite this in 9 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 · 6 sentences without a confident label

Builds on it 1 paper

We extend the holographic model initially considered in [ref] by including both vector and axial gauge fields.

Magneto-vortical effect in strongly coupled plasma · Gravity Action and Dictionary · 1.00

Compares with it 2 papers

This has also been derived in [ref] in a similar model that does however not contain $S_CSK$.

Anomaly induced transport coefficients, from weak to strong coupling · Holographic Renormalization · 0.93
This has also been derived in [ref] in a similar model that does however not contain $S_CSK$.

Holographic Gravitational Anomaly and Chiral Vortical Effect · Holographic Renormalization · 0.90

What it cites · 25 sentences without a confident label

Uses the method or tool of 5 papers

In section [ref] the Brown-York energy-momentum tensor [ref] and $R$-symmetry current are constructed via the boundary source variational principle for the action [ref] , [ref] .

A Stress Tensor for Anti-de Sitter Gravity · Introduction · 0.88
In section [ref] the Brown-York energy-momentum tensor [ref] and $R$-symmetry current are constructed via the boundary source variational principle for the action [ref] , [ref] .

Quasilocal Energy and Conserved Charges Derived from the Gravitational Action · Introduction · 0.88
In section [ref] the Brown-York energy-momentum tensor [ref] and $R$-symmetry current are constructed via the boundary source variational principle for the action [ref] , [ref] .

The Holographic Weyl anomaly · Introduction · 0.88

Uses data or values from 1 paper

The field theory determination of these anomaly coefficients is [ref] a= 3/32 ( 3 TrR^3 - TrR ) , c= 1/32 ( 9 TrR^3 - 5 TrR ) , where $R$ is the $R$-symmetry charge of the fields and the trace is over all chiral fermion fields.

Nonperturbative Formulas for Central Functions of Supersymmetric Gauge Theories · Introduction · 0.81

Cites as background 4 papers

Type IIB string theory on an $AdS_5 ×Y_5$ background, where $Y_5$ is a Sasaki-Einstein manifold, for large radii and with a stack of $N$-$D3$-branes at the tip of the conical singularity is approximated by a $N=2$ conformal supergravity which in turn is dual to a $N=1$ superconformal field theory on the Minkowski space-time $M_4$ boundary of the $AdS_5$ space [ref] - [ref] .

The Large N Limit of Superconformal Field Theories and Supergravity · Introduction · 0.99
Type IIB string theory on an $AdS_5 ×Y_5$ background, where $Y_5$ is a Sasaki-Einstein manifold, for large radii and with a stack of $N$-$D3$-branes at the tip of the conical singularity is approximated by a $N=2$ conformal supergravity which in turn is dual to a $N=1$ superconformal field theory on the Minkowski space-time $M_4$ boundary of the $AdS_5$ space [ref] - [ref] .

Gauge Theory Correlators from Non-Critical String Theory · Introduction · 0.99
The values of the central charges of the superconformal field theory (SCFT), $a$ and $c$, designate different boundary field theories dual to the bulk $AdS$ supergravity [ref] .

Nonperturbative Formulas for Central Functions of Supersymmetric Gauge Theories · Introduction · 0.93

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