Spinning correlators in large-charge CFTs

Dondi, Nicola Andrea; Kalogerakis, Ioannis; Moser, Rafael; Orlando, Domenico; Reffert, Susanne

doi:10.1016/j.nuclphysb.2022.115928

Cited by 11 publications

(7 citation statements)

References 19 publications

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“…27 To further subleading orders, higher derivative terms (∂ 2 ϕ0) 2 appear. 28 Here we neglect the m = 0 mode whose only role is to interpolate between states with different charge, see [77,78] for details on its quantization.…”

Section: Quantization Of the N = 0 Fluctuations Of The Giant Vortexmentioning

confidence: 99%

Giant Vortices and the Regge Limit

Cuomo

Komargodski

2023

J. High Energ. Phys.

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In recent years it has been shown that strongly coupled systems become analytically tractable in the regime of large quantum numbers, such as large spin or large charge. The effective theories that emerge in these two limits are Regge theory and superfluid theory, respectively. Here we make a proposal for a new phase, the “giant vortex,” describing an intermediate regime with large spin and charge. The new phase connects superfluid theory with the large-spin expansion. The giant vortex admits a semi-classical effective theory description with peculiar chiral excitations (moving at the speed of light) and a Fock space of states that is reminiscent of the multi-twist operators in Regge theory, including the leading and daughter Regge trajectories. A similar giant vortex phase appears for Bose-Einstein condensates in a rotating trap, and our results should be applicable in that context as well. We show that the transition from the giant vortex to the Regge regime is accompanied by the scaling dimension turning from being larger than to being smaller than the mean field theory value, i.e. gravity switches from being the weakest force at small AdS distance to being the strongest force at large AdS distance.

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Section: Quantization Of the N = 0 Fluctuations Of The Giant Vortexmentioning

confidence: 99%

Giant Vortices and the Regge Limit

Cuomo

Komargodski

2023

J. High Energ. Phys.

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“…In this paper, we focus on the spectrum of operators that carry a large charge under the O(N ) symmetry. CFT dynamics simplify significantly when considering operators with a large charge under some global symmetry, as has been observed extensively in the last few years [14][15][16][17][18][19][20][21][22][23][24][25][26] (also see [27] for a review and more references).…”

Section: Introductionmentioning

confidence: 93%

Long range, large charge, large N

Giombi

Helfenberger

Khanchandani

2023

J. High Energ. Phys.

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We study operators with large charge j in the d-dimensional O(N) model with long range interactions that decrease with the distance as 1/rd+s, where s is a continuous parameter. We consider the double scaling limit of large N, large j with $$ j/N=\hat{j} $$ j / N = j ̂ fixed, and identify the semiclassical saddle point that captures the two-point function of the large charge operators in this limit. The solution is given in terms of certain ladder conformal integrals that have recently appeared in the literature on fishnet models. We find that the scaling dimensions for general s interpolate between $$ {\Delta }_j\sim \frac{\left(d-s\right)}{2}j $$ ∆ j ∼ d − s 2 j at small $$ \hat{j} $$ j ̂ and $$ {\Delta }_j\sim \frac{\left(d+s\right)}{2}j $$ ∆ j ∼ d + s 2 j at large $$ \hat{j} $$ j ̂ , which is a qualitatively different behavior from the one found in the short range version of the O(N) model. We also derive results for the structure constants and 4-point functions with two large charge and one or two finite charge operators. Using a description of the long range models as defects in a higher dimensional local free field theory, we also obtain the scaling dimensions in a complementary way, by mapping the problem to a cylinder in the presence of a chemical potential for the conserved charge.

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“…integrated correlators are governed by a coupled harmonic system analogous to (2.10) -equivalently, a recursion relation (2.1) -with dependence on the choice of base-operator entering only through some generalised nearest-neighbour couplings κ (m) p . 29 Moreover, we expect that to leading order in the large charge limit, these couplings become m-independent: that is,…”

Section: Exact Solution For Odd-p Maximal-trace Correlatorsmentioning

confidence: 99%

“…We recall some properties of the Eisenstein series in Appendix A; see also Section 2 of[25] for further context 2. Large charge, large N regimes have been previously studied in vector model CFTs[26][27][28][29].…”

mentioning

confidence: 99%

Exact Large Charge in $\mathcal{N}=4$ SYM and Semiclassical String Theory

Paul¹,

Perlmutter²,

Raj³

2023

Preprint

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In four-dimensional N = 4 super Yang-Mills theory with gauge group SU (N ), we present a closed-form solution for a family of integrated four-point functions involving stress tensor multiplet composites of arbitrary R-charge. These integrated correlators are shown to be equivalent to a one-dimensional semi-infinite lattice of harmonic oscillators with nearest-neighbor interactions, evolving over the fundamental domain of SL(2, Z). The solution, exceptionally simple in an SL(2, Z)-invariant eigenbasis, is exact in the R-charge p, rank N , and complexified gauge coupling τ . This permits a systematic and non-perturbative large charge expansion for any N and τ . Especially novel is a double-scaled "gravity regime" in which p ∼ N 2 1, holographically dual to a large charge regime of semiclassical type IIB string theory in AdS 5 × S 5 . Our results in this limit provide a holographic computation of integrated semiclassical string amplitudes at arbitrary string coupling, including an emergent string scale with a large charge dressing factor. We compare to extremal correlators in superconformal QCD, for which we predict new genus expansions at large charge scaling with N .

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Spinning correlators in large-charge CFTs

Cited by 11 publications

References 19 publications

Giant Vortices and the Regge Limit

Giant Vortices and the Regge Limit

Long range, large charge, large N

Exact Large Charge in $\mathcal{N}=4$ SYM and Semiclassical String Theory

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