scholarly journals Anomalous dimensions in CFT with weakly broken higher spin symmetry

2016 ◽  
Vol 2016 (11) ◽  
Author(s):  
Simone Giombi ◽  
Vladimir Kirilin
Keyword(s):  
Higher Spin Symmetry ◽  
Spin Symmetry ◽  
Anomalous Dimensions ◽  
Higher Spin

scholarly journals More on ``La Grande Bouffe'': towards higher spin symmetry breaking in AdS

2005 ◽  
Vol 2005 (08) ◽  
pp. 088-088 ◽  
Author(s):  
Massimo Bianchi ◽  
Paul J Heslop ◽  
Fabio Riccioni
Keyword(s):  
Symmetry Breaking ◽  
Higher Spin Symmetry ◽  
Spin Symmetry ◽  
Higher Spin

scholarly journals A CFT distance conjecture

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Eric Perlmutter ◽  
Leonardo Rastelli ◽  
Cumrun Vafa ◽  
Irene Valenzuela
Keyword(s):  
Spin Symmetry ◽  
Field Theories ◽  
Superconformal Field Theories ◽  
Four Dimensions ◽  
Conformal Field ◽  
Anomalous Dimensions ◽  
Higher Spin ◽  
Spin Fields ◽  
Local Operators ◽  
Conformal Manifolds

Abstract We formulate a series of conjectures relating the geometry of conformal manifolds to the spectrum of local operators in conformal field theories in d > 2 spacetime dimensions. We focus on conformal manifolds with limiting points at infinite distance with respect to the Zamolodchikov metric. Our central conjecture is that all theories at infinite distance possess an emergent higher-spin symmetry, generated by an infinite tower of currents whose anomalous dimensions vanish exponentially in the distance. Stated geometrically, the diameter of a non-compact conformal manifold must diverge logarithmically in the higher-spin gap. In the holographic context our conjectures are related to the Distance Conjecture in the swampland program. Interpreted gravitationally, they imply that approaching infinite distance in moduli space at fixed AdS radius, a tower of higher-spin fields becomes massless at an exponential rate that is bounded from below in Planck units. We discuss further implications for conformal manifolds of superconformal field theories in three and four dimensions.

scholarly journals Higher Spin Symmetry andN=4 SYM

2004 ◽  
Vol 2004 (07) ◽  
pp. 058-058 ◽  
Author(s):  
N Beisert ◽  
M Bianchi ◽  
J.F Morales ◽  
H Samtleben
Keyword(s):  
Higher Spin Symmetry ◽  
Spin Symmetry ◽  
Higher Spin

scholarly journals Candidate for the role of higher-spin symmetry

1987 ◽  
Vol 177 (1) ◽  
pp. 63-112 ◽  
Author(s):  
E.S. Fradkin ◽  
M.A. Vasiliev
Keyword(s):  
Higher Spin Symmetry ◽  
Spin Symmetry ◽  
Higher Spin

scholarly journals Precision spectroscopy and higher spin symmetry in the ABJM model

2010 ◽  
Vol 2010 (10) ◽  
Author(s):  
Massimo Bianchi ◽  
Rubik Poghossian ◽  
Marine Samsonyan
Keyword(s):  
Higher Spin Symmetry ◽  
Spin Symmetry ◽  
Precision Spectroscopy ◽  
Higher Spin

scholarly journals Exact higher-spin symmetry in CFT: Free fermion correlators from Vasiliev theory

2013 ◽  
Vol 88 (4) ◽  
Author(s):  
V. E. Didenko ◽  
Jianwei Mei ◽  
E. D. Skvortsov
Keyword(s):  
Higher Spin Symmetry ◽  
Spin Symmetry ◽  
Free Fermion ◽  
Higher Spin

HIGHER-SPIN SYMMETRY IN ONE AND TWO DIMENSIONS (II)

1989 ◽  
Vol 04 (27) ◽  
pp. 2649-2665 ◽  
Author(s):  
E.S. FRADKIN ◽  
V. Ya. LINETSKY
Keyword(s):  
Higher Spin Symmetry ◽  
General Structure ◽  
Virasoro Algebra ◽  
Spin Symmetry ◽  
Two Dimensions ◽  
Higher Spin

Constructed are conformal higher spin superalgebras in one and two dimensions, which contain the Virasoro algebra as a subalgebra. The general structure of these superalgebras is investigated.

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