Abstract

We review some recent results on computation of quantum corrections in conformal and massless higher spin theory.

Highlights

  • We shall review some recent results of the study of quantum corrections in theories containing infinite number of massless or conformal higher spin states [1,2,3,4,5,6,7].There is a long history of theoretical studies of higher spin theories

  • We review some recent results on computation of quantum corrections in conformal and massless higher spin theory

  • Massive HS fields appear in string theory and may become massless in a certain “tensionless" limit

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Summary

Introduction

We shall review some recent results of the study of quantum corrections in theories containing infinite number of massless or conformal higher spin states [1,2,3,4,5,6,7]. Theories dual to free adjoint U(N) CFT’s contain both massless tower of states plus infinite set of massive fields in AdS. On the CFT side we may consider the generating functional for correlators of currents Js(Φ) = Φ∗i Js Φi , Js ∼ ∂s introducing source fields hs These will have the interpretation of conformal higher spin (CHS) fields that are gauge fields for the infinite dimensional algebra of symmetries of the free scalar theory. We shall discuss some examples of quantum computations in massless and conformal HS theories that demonstrate this

Free massless HS theory in flat space and in AdS
Conformal higher spin theory
Scalar scattering via conformal higher spin exchange
Scalar scattering in massless HS theory in flat space
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