Effective action in a higher-spin background

By X. Bekaert, E. Joung, J. Mourad. 2010

139 citations recorded by the source corpus.

We consider a free massless scalar field coupled to an infinite tower of background higher-spin gauge fields via minimal coupling to the traceless conserved currents. The set of Abelian gauge transformations is deformed to the non-Abelian group of unitary operators acting on the scalar field. The gauge invariant effective action is computed perturbatively in the external fields. The structure of the various (divergent or finite) terms is determined. In particular, the quadratic part of the logarithmically divergent (or of the finite) term is expressed in terms of curvatures and related to conformal higher-spin gravity. The generalized higher-spin Weyl anomalies are also determined. The relation with the theory of interacting higher-spin gauge fields on anti de Sitter spacetime via the holographic correspondence is discussed.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b81f6047bf10216b7776a0b260145be0e4b47c2c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. S. Giombi
2. Silviu S. Pufu
3. I. Klebanov
4. M. Taronna
5. B. Safdi
6. E. Joung
7. G. Tarnopolsky
8. Xi Yin

In Nuclear and High Energy Physics

1. S. Giombi
2. I. Klebanov
3. Silviu S. Pufu
4. B. Safdi
5. G. Tarnopolsky
6. M. Taronna
7. E. Joung
8. T. Takayanagi

In Statistical and Nonlinear Physics

1. M. Taronna
2. I. Klebanov
3. S. Giombi
4. Silviu S. Pufu
5. B. Safdi
6. G. Tarnopolsky
7. E. Joung
8. V. Rosenhaus

Citations in the corpus

• AdS description of induced higher-spin gauge theory (2013, methodology): “gauge theory was studied in [46], and some progress has been recently made using twistor space techniques in the unfolded formulation [44].”
• Cubic interactions of massless higher spins in (A)dS: Metric-like approach (2011, background): “7 See [58, 59] for HS current exchanges, and see [60, 61] for flat-space current-coupling interactions and their application to the effective action in a HS background.”
• Higher spins in AdS5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT (2014, unknown): “This is not completely surprising in view of the direct connection of the CHS theory (viewed as induced by the boundary CFT [123–125, 1]) to the CFT conserved currents (CHS fields are shadow fields for the CFT currents) and then, via AdS/CFT, to the 5d higher spins (CHS fields are effectively bounda”