Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory

By V. Didenko, E. D. Skvortsov. 2012

139 citations recorded by the source corpus.

A bstractAll correlation functions of conserved currents of the CFT that is dual to unbroken Vasiliev theory are found as invariants of higher-spin symmetry in the bulk of AdS. The conformal and higher-spin symmetry of the correlators as well as the conservation of currents are manifest, which also provides a direct link between the Maldacena-Zhiboedov result and higher-spin symmetries. Our method is in the spirit of AdS/CFT, though we never take any boundary limit or compute any bulk integrals. Boundary-to-bulk propagators are shown to exhibit an algebraic structure, living at the boundary of SpH(4), semidirect product of Sp(4) and the Heisenberg group. N-point correlation function is given by a product of N elements.

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

View Paper: https://www.semanticscholar.org/paper/9b1bb52a1cabe67837a1cc18de98ef2999b17605

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. E. D. Skvortsov
2. C. Sleight
3. M. Taronna
4. X. Bekaert
5. Dmitry Ponomarev
6. A. Zhiboedov
7. V. Didenko
8. Nicolas Boulanger

In Nuclear and High Energy Physics

1. E. D. Skvortsov
2. C. Sleight
3. M. Taronna
4. X. Bekaert
5. V. Didenko
6. Dmitry Ponomarev
7. Nicolas Boulanger
8. A. Zhiboedov

In Statistical and Nonlinear Physics

1. C. Sleight
2. E. D. Skvortsov
3. M. Taronna
4. Dmitry Ponomarev
5. X. Bekaert
6. Nicolas Boulanger
7. Johanna Erdmenger
8. Pan Kessel

Citations in the corpus

• On the uniqueness of higher-spin symmetries in AdS and CFT (2013, background): “Finally let us mentions that given a HS algebra one can immediately write down an answer for the n-point correlation functions [75,76]”
• Higher spin interactions in four-dimensions: Vasiliev versus Fronsdal (2015, methodology): “A marginal example of a pseudo-local expression is given by the HS algebra invariant [48, 49],”
• Quartic AdS interactions in higher-spin gravity from Conformal Field Theory (2015, methodology): “Moreover, all n-point functions of the free CFT3 have been identified with suitable invariants in Vasiliev’s theory [52–55].”
• Convexity and liberation at large spin (2012, background): “19 The expression for n-point correlation functions of currents was recently found in [59].”
• Elements of Vasiliev theory (2014, background): “6 Advanced ⋆-products: Cayley transform There are useful tricks that sometimes make star-product calculations quite simple, [57, 121].”