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We investigate the constraints of crossing symmetry on CFT correlation functions. Four point conformal blocks are naturally viewed as functions on the upper-half plane, on which crossing symmetry acts by PSL(2,Z) modular transformations.…

High Energy Physics - Theory · Physics 2017-08-02 Alexander Maloney , Henry Maxfield , Gim Seng Ng

We study fluctuations around the warped conifold supergravity solution of Klebanov and Tseytlin [hep-th/0002159], known to be dual to a cascading N=1 gauge theory. Although this supergravity background is not asymptotically AdS,…

High Energy Physics - Theory · Physics 2009-11-07 Michael Krasnitz

We derive general bounds on operator dimensions, central charges, and OPE coefficients in 4D conformal and N=1 superconformal field theories. In any CFT containing a scalar primary phi of dimension d we show that crossing symmetry of <phi…

High Energy Physics - Theory · Physics 2011-05-09 David Poland , David Simmons-Duffin

We propose a connection between conformal field theory (CFT) and the exact solution and integrability of the reduced BCS model of superconductivity. The relevant CFT is given by the $SU(2)_k$-WZW model in the singular limit when the level k…

High Energy Physics - Theory · Physics 2009-10-31 German Sierra

We investigate matrix models in three dimensions where the global $\text{SU}(N)$ symmetry acts via the adjoint map. Analyzing their ground state which is homogeneous in space and can carry either a unique or multiple fixed charges, we show…

High Energy Physics - Theory · Physics 2018-08-01 Orestis Loukas

We elaborate on various aspects of the conformal field theory of the symmetric orbifold. We collect various results that have appeared in the literature, and we present a coherent picture of the operator content of this CFT, relying on the…

High Energy Physics - Theory · Physics 2018-08-01 Konstantinos Roumpedakis

We discuss a semiclassical string description to circular Wilson loops without/with local operator insertions. By considering a semiclassical approximation of type IIB string theory on AdS_5 X S^5 around the corresponding classical…

High Energy Physics - Theory · Physics 2008-11-26 Makoto Sakaguchi , Kentaroh Yoshida

We study the unitary Fermi gas in a harmonic trapping potential starting from a microscopic theory in the limit of large charge and large number of fermion flavors N. In this regime, we present an algorithmic procedure for extracting data…

High Energy Physics - Theory · Physics 2024-06-03 Simeon Hellerman , Daniil Krichevskiy , Domenico Orlando , Vito Pellizzani , Susanne Reffert , Ian Swanson

Aspects of parity-preserving, three-dimensional conformal field theories (CFTs) with a global $U(1)$ symmetry in the presence of a background magnetic field are investigated. A local effective action is constructed to four-derivative order,…

High Energy Physics - Theory · Physics 2025-05-21 Christopher P. Herzog , William H. Pannell , Biswajit Sahoo , Andreas Stergiou

We apply the AdS/CFT correspondence to derive expressions for the scattering amplitudes at high energy for gauge theories at strong coupling. A method is proposed based on the computation of correlators of Wilson loop operators by their…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Peschanski

We calculate correlation functions of the R-current or the stress-energy tensor T_{\mu\nu} with two non-protected operators dual to generic massive string states with rotation in S^5, in the context of the AdS/CFT correspondence. Field…

High Energy Physics - Theory · Physics 2015-06-12 George Georgiou , Bum-Hoon Lee , Chanyong Park

We develop an effective field theory (EFT) framework for superfluid ${}^4$He to model the interactions among quasiparticles, helium atoms and probe particles. Our effective field theory approach brings together symmetry arguments and…

High Energy Physics - Phenomenology · Physics 2022-05-25 Konstantin T. Matchev , Jordan Smolinsky , Wei Xue , Yining You

Recently it was shown that the scaling dimension of the operator $\phi^n$ in $\lambda(\bar\phi\phi)^2$ theory may be computed semiclassically at the Wilson-Fisher fixed point in $d=4-\epsilon$, for generic values of $\lambda n$, and this…

High Energy Physics - Theory · Physics 2021-12-01 I. Jack , D. R. T. Jones

The decomposition of correlation functions into conformal blocks is an indispensable tool in conformal field theory. For spinning correlators, non-trivial tensor structures are needed to mediate between the conformal blocks, which are…

High Energy Physics - Theory · Physics 2020-10-28 Ilija Buric , Mikhail Isachenkov , Volker Schomerus

We discuss the O(2N) vector model in three dimensions. While this model flows to the Wilson-Fisher fixed point when fine tuned, working in a double-scaling limit of large N and large charge allows us to study the model away from the…

High Energy Physics - Theory · Physics 2022-01-12 Domenico Orlando , Susanne Reffert , Tim Schmidt

The AdS/CFT duality maps supersymmetric heavy operators with conformal dimension of the order of the central charge to asymptotically AdS supergravity solutions. We show that by studying the quadratic fluctuations around such backgrounds it…

High Energy Physics - Theory · Physics 2017-10-25 Andrea Galliani , Stefano Giusto , Rodolfo Russo

We consider mixed four-point correlators of 1/2-BPS operators $\phi_{k}$ in SCFTs with eight real Poincar\'e supercharges, namely the 3d $\mathcal{N}=4$, 4d $\mathcal{N}=2$, 5d $\mathcal{N}=1$, and 6d $\mathcal{N}=(1,0)$ theories. Using the…

High Energy Physics - Theory · Physics 2026-04-13 Mitchell Woolley

We develop a manifest supertwistor space formalism for three dimensional $\mathcal{N}=1, 2,3,4$ superconformal field theories. This formalism simultaneously makes manifest the supersymmetry, conformal invariance and conservation. We solve…

High Energy Physics - Theory · Physics 2025-03-27 Aswini Bala , Sachin Jain , Dhruva K. S. , Deep Mazumdar , Vibhor Singh , Brijesh Thakkar

In this letter, we discuss certain universal predictions of the large charge expansion in conformal field theories with $U(1)$ symmetry, mainly focusing on four-dimensional theories. We show that, while in three dimensions quantum…

High Energy Physics - Theory · Physics 2020-12-15 Gabriel Cuomo

The conservation of the long wavelength fluctuations of the metric plays a vital role in cosmology as the link between quantum fluctuations during inflation and late time observations. This is a well-known property of the classical…

High Energy Physics - Theory · Physics 2025-02-06 Daniel Green , Kshitij Gupta