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Article
Physics, Particles & Fields
Simone Giombi et al.
Summary: 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/r(d+3). We consider the double scaling limit of large N, large j and j/N=ĵ fixed, and find the semiclassical saddle point that captures the two-point function of the large charge operators. The solution is given in terms of certain ladder conformal integrals.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Hynek Paul et al.
Summary: We study integrated four-point functions of half-BPS operators in 4D N=4 SYM with gauge group SU(N). These observables, defined by spacetime integrals of (O2O2OPOP) with O-P as a superconformal primary of charge p, are computable by supersymmetric localization but are non-trivial functions of the complexified gauge coupling tau. We find explicit results for several classes of these observables, exactly as a function of N and tau, and analyze their properties using the SL(2, Z) spectral decomposition. Our computations include the full matrix of integrated correlators at low values of p and an infinite class of correlators involving operators of arbitrary p.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
M. Beccaria et al.
Summary: In this study, we apply the localization technique to compute the free energy and the circular BPS Wilson loop in a four-dimensional N= superconformal Sp(2N) gauge theory. We find that to any order in large N expansion and an arbitrary 't Hooft coupling lambda, the free energy and the Wilson loop satisfy Toda lattice equations.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Gabriel Cuomo et al.
Summary: It has been found that strongly coupled systems become analytically tractable when the quantum numbers are large, such as large spin or large charge. The effective theories in these limits are Regge theory and superfluid theory. This article proposes a new phase, called the giant vortex, which describes an intermediate regime with large spin and charge. The giant vortex connects superfluid theory with the large-spin expansion and has a semi-classical effective theory description with peculiar chiral excitations and a Fock space of states resembling the multi-twist operators in Regge theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Nathan Benjamin et al.
Summary: T(T) over bar deformed conformal field theories can be reformulated as worldsheet theories of non-critical strings. We use this correspondence to compute and study the T(T) over bar deformed partition sum of a symmetric product CFT. We find that it takes the form of a partition sum of a second quantized string theory with a worldsheet given by the product of the seed CFT and a gaussian sigma model with the two-torus as target space. We show that deformed symmetric product theory admits a natural UV completion that exhibits a strong weak coupling Z(2) duality that interchanges the momentum and winding numbers and maps the T(T) over bar-coupling lambda to its inverse 1/lambda. The Z(2) duality is part of a full O(2, 2, Z)-duality group that includes a PSL(2, Z) acting on the complexified T(T) over bar coupling. The duality symmetry eliminates the appearance of complex energies at strong coupling for all seed CFTs with central charge c <= 6.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Daniele Dorigoni et al.
Summary: The use of supersymmetric localisation has led to modular covariant expressions for integrated correlators of half-BPS operators in N = 4 supersymmetric Yang-Mills theory with a general classical gauge group. Generating functions for such integrated correlators have been determined, confirming previously conjectured formulae. This provides a systematic understanding of the relation between properties of these correlators at finite N and their expansions at large N, including a non-perturbative completion of the large-N expansion in terms of non-holomorphic modular functions.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Augustus Brown et al.
Summary: We consider integrated correlators in N = 4 super Yang-Mills theory with SU(N) gauge group, where operators are properly reorganised. We show that these correlators satisfy a universal Laplace-difference equation relating operators with different charges, which can be computed via supersymmetric localisation and are modular functions of the Yang-Mills coupling. This equation, along with initial conditions, completely determines all the integrated correlators.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Felix M. Haehl et al.
Summary: We discuss the spectral correlations in two-dimensional chaotic CFTs with large central charge. By studying the partition function, we separate the chaotic properties of the spectrum from those governed by Virasoro symmetry and modular invariance. We find that random matrix universality is independently observed in each spin sector, even though the exact spectrum is determined by only the spectrum of spin zero primaries and a single non-zero spin. We also show the existence of random matrix universality in a large spin regime far from extremality.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Augustus Brown et al.
Summary: In this study, it was proved that the four-point correlators in the N = 4 supersymmetric Yang-Mills theory with SU(N) gauge group, when integrating out the spacetime dependence, are governed by a universal Laplace-difference equation. The generating functions for these correlators were introduced, and it was shown that the integrated correlators in the large-p expansion consist of three parts: an independent term of tau, a power series in 1/p with coefficients given by non-holomorphic Eisenstein series, and a sum of exponentially decayed modular functions in the large-p limit. The Laplace-difference equation was obtained by reorganizing the operators, and the large-charge expansion and resurgence analysis were discussed.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Conghuan Luo et al.
Summary: An important problem in Quantum Field Theory is to understand the structures of observables on nontrivial topology spacetime manifolds. This problem arises when studying physical systems at finite temperature and/or finite volume, and encodes properties of the underlying microscopic theory that are often obscured on flat spacetime. In Conformal Field Theory, a non-perturbative understanding of the Hilbert space on a spherical topology is achieved, but it remains challenging to consider more general spatial manifolds.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Matthew Dodelson et al.
Summary: In this paper, we explore the implications of stable gravitational orbits around an AdS black hole for the boundary conformal field theory. The orbits are long-lived states that eventually decay due to gravitational radiation and tunneling. They appear as narrow resonances in the heavy-light OPE and as quasi-normal modes in the thermal two-point function. The connection between orbits, quasi-normal modes, and double-twist operators is investigated in detail, and the anomalous dimension of double-twist operators is computed.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Nathan Benjamin et al.
Summary: By utilizing harmonic analysis, this article derives a crossing equation that applies only to scalar primary operators in any two-dimensional conformal field theory with U(1)(c) symmetry. The obtained crossing equation provides bounds on the scalar gap of all such theories and remarkably includes information about nontrivial zeros of the Riemann zeta function. Consequently, the Riemann hypothesis is rephrased solely as a statement regarding the asymptotic density of scalar operators in certain two-dimensional conformal field theories. Generalizations to theories with only Virasoro symmetry are also discussed.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Yasuyuki Hatsuda et al.
Summary: In this work, the large N limit of the integrated correlator of four superconformal primary operators in N = 4 supersymmetric Yang-Mills theory is investigated. The formula proposed by Dorigoni, Green and Wen is shown to be equivalent to the sum over the contributions of (p, q)-strings via holography. The large order behavior of a single function allows for the determination of the large N non-perturbative corrections.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Scott Collier et al.
Summary: We propose a new approach to extract the physical consequences of S-duality of four-dimensional N = 4 super Yang-Mills (SYM) and its string theory dual using SL(2, Z) spectral theory. Our method can constrain the analytic structure of N = 4 SYM data and has implications for the structure of instantons. In large N limits, we derive the existence and scaling of non-perturbative effects. We also discuss the implications for holography and embedding ensemble averaging into the traditional AdS/CFT paradigm.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Andrei Parnachev
Summary: Under certain conditions, the properties of HHLL correlators in CFTs can be described by a double scaling limit, where the stress tensor sector receives contributions from multiple stress tensor operators, and the value of the correlator is related to the length of spacelike geodesics.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Particles & Fields
Simeon Hellerman et al.
Summary: In this study, the ratio of pairs of adjacent correlators of Coulomb-branch operators in SU(2) N = 2 sqcd with four flavors was investigated within the large quantum number expansion framework. Utilizing the order-by-order S-duality invariance of the large-R-charge expansion, the dependence of the leading large- behavior on the marginal coupling tau was computed ab initio, showing excellent agreement with numerical estimates from localization.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Alba Grassi et al.
Summary: The study focuses on the correlation functions of Coulomb branch operators in four-dimensional N = 2 Superconformal Field Theories, particularly on rank-one theories. It is shown that the large charge limit of extremal correlators can be captured by a dual description of a chiral random matrix model of the Wishart-Laguerre type. This provides an analytic understanding of physics in specific excited states.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Daniele Dorigoni et al.
Summary: This paper presents a novel expression for an integrated correlator in SU(N) N=4 supersymmetric Yang-Mills theory, applicable to all N and values of the complex Yang-Mills coupling. The correlator can be expressed as an infinite series of non-holomorphic Eisenstein series and rational coefficients, and is invariant under SL(2,Z) Montonen-Olive duality. Furthermore, the large-N expansion of the correlator with fixed tau is a series in powers of N1/2-l with coefficients that are rational sums of Es;tau(tau) over bar, giving an all orders derivation of the conjectured expansion.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Review
Physics, Multidisciplinary
Luis Alvarez-Gaume et al.
Summary: This review explores quantum field theories and conformal field theories with global symmetries in the large charge limit, revealing that at low energies, the sectors with large charge can be described using a hybrid form of Goldstone's theorem. The associated effective field theory in the infrared enables computation of anomalous dimensions and operator product expansion coefficients, offering a well-defined expansion in inverse powers of the global charge.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2021)
Article
Physics, Particles & Fields
Simone Giombi et al.
Summary: In this study, operators in the rank-j totally symmetric representation of O(N) in the critical O(N) model in arbitrary dimension d are analyzed in the limit of large N and large charge j. The scaling dimensions of the operators in this limit are obtained through semiclassical saddle point calculation. Results show that in 4 < d < 6, the scaling dimension of the large charge operators becomes complex above a critical value of the ratio j/N, indicating instability of the theory in that range of d. Additionally, correlation functions involving heavy and light operators are derived, with a focus on heavy-heavy-light OPE coefficients as a function of charges and d.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Robin Karlsson et al.
Summary: In d-dimensional CFTs with a large number of degrees of freedom, the thermalization of stress tensor and multi stress tensor operators is equivalent to a universal behavior of their OPE coefficients with a pair of identical heavy operators. In free CFTs, multi stress tensor operators thermalize while light operators do not.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Nathan Benjamin et al.
Summary: The text discusses the application of harmonic analysis theory to study the partition functions of two-dimensional conformal field theories, decomposing them into eigenfunctions of different moduli spaces and exploring their relevance to AdS(3) gravity. It emphasizes that the local operator spectrum is fully determined by a specific subset of degeneracies.
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