Holography and Regge phases with U(1) charge

Abstract <p>We use holography to study the large spinJlimit of the spectrum of low energy states with chargeQunder a U(1) conserved current in CFTs ind&gt; 2 dimensions, with a focus ond= 3 andd= 4. ForQ= 2, the spectrum of such states is known to be universal and properly captured by the long-distance limit of holographic theories, regardless of whether the CFT itself is holographic. We study in detail the holographic description of such states atQ&gt; 2, by considering the contribution to the energies ofQscalar particles coming from single photon and graviton exchange in the bulk of AdS; in some cases, scalar exchange and bulk contact terms are also included. For a range of finite values ofQandJ, we numerically diagonalize the Hamiltonian for such states and examine the resulting spectrum and wavefunctions as a function of the dimension ∆ of the charge-one operator and the central charges$$ {c}_{\mathcal{T}} $$ <math> <msub> <mi>c</mi> <mi>T</mi> </msub> </math> ,$$ {c}_{\mathcal{J}} $$ <math> <msub> <mi>c</mi> <mi>J</mi> </msub> </math> of the stress tensor and U(1) current, finding multiple regions in parameter space with qualitatively different behavior. We discuss the extension of these results to the regime of parametrically large chargeQ, as well as to what extent such results are expected to hold universally, beyond the limit of holographic CFTs. We compare our holographic computations to results from the conformal bootstrap for the 3dO(2) model atQ= 3 andQ= 4 and find excellent agreement.</p>. Authors: Fardelli, Giulia (ORCID:0000000217998124); Fitzpatrick, A. (ORCID:0000000288182069); Li, Wei (ORCID:0000000290490685). DOE Contract: SC0015845. Subjects: Physics