scholarly journals Anomalous dimensions of higher spin currents in large N CFTs

2017 ◽  
Vol 2017 (1) ◽  
Author(s):  
Yasuaki Hikida ◽  
Taiki Wada
Keyword(s):  
Spin Currents ◽  
Anomalous Dimensions ◽  
Large N ◽  
Higher Spin

scholarly journals Higher-spin currents and thermal flux from Hawking radiation

2007 ◽  
Vol 75 (12) ◽  
Author(s):  
Satoshi Iso ◽  
Takeshi Morita ◽  
Hiroshi Umetsu
Keyword(s):  
Hawking Radiation ◽  
Thermal Flux ◽  
Spin Currents ◽  
Higher Spin

scholarly journals Higher spin algebras and large N $$ \mathcal{N} $$ = 4 holography

2018 ◽  
Vol 2018 (3) ◽  
Author(s):  
Lorenz Eberhardt ◽  
Matthias R. Gaberdiel ◽  
Ingo Rienäcker
Keyword(s):  
Large N ◽  
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 currents with manifest SO(4) symmetry in the large 𝒩 = 4 holography

2018 ◽  
Vol 33 (35) ◽  
pp. 1850208 ◽  
Author(s):  
Changhyun Ahn
Keyword(s):  
Structure Constant ◽  
Operator Product ◽  
Young Tableaux ◽  
Coupling Constant ◽  
Hooft Coupling ◽  
Spin Currents ◽  
Almost Complex Structures ◽  
Almost Complex ◽  
Higher Spin ◽  
Multiple Product

The large [Formula: see text] nonlinear superconformal algebra is generated by six spin-[Formula: see text] currents, four spin-[Formula: see text] currents and one spin-[Formula: see text] current. The simplest extension of these [Formula: see text] currents is described by the [Formula: see text] higher spin currents of spins [Formula: see text]. In this paper, by using the defining operator product expansions (OPEs) between the [Formula: see text] currents and [Formula: see text] higher spin currents, we determine the [Formula: see text] higher spin currents (the higher spin-[Formula: see text] currents were found previously) in terms of affine Kac–Moody spin-[Formula: see text], one currents in the Wolf space coset model completely. An antisymmetric second rank tensor, three antisymmetric almost complex structures or the structure constant are contracted with the multiple product of spin-[Formula: see text] currents. The eigenvalues are computed for coset representations containing at most four boxes, at finite [Formula: see text] and [Formula: see text]. After calculating the eigenvalues of the zeromode of the higher spin-[Formula: see text] current acting on the higher representations up to three (or four) boxes of Young tableaux in [Formula: see text] in the Wolf space coset, we obtain the corresponding three-point functions with two scalar operators at finite [Formula: see text]. Furthermore, under the large [Formula: see text] ’t Hooft-like limit, the eigenvalues associated with any boxes of Young tableaux are obtained and the corresponding three-point functions are written in terms of the ’t Hooft coupling constant in simple form in addition to the two-point functions of scalars and the number of boxes.

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