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We study the finite-size scaling behaviour at the critical point, resulting from the addition of a homogeneous size-dependent perturbation, decaying as an inverse power of the system size. The scaling theory is first formulated in a general…

Statistical Mechanics · Physics 2023-03-06 L. Turban

The near-collinear expansion of scattering amplitudes in maximally supersymmetric Yang-Mills theory at strong coupling is governed by the dynamics of stings propagating on the five sphere. The pentagon transitions in the operator product…

High Energy Physics - Theory · Physics 2017-04-26 A. V. Belitsky

The $PT$ symmetric potential $V_0[\cos(2\pi x/a)+i\lambda\sin(2\pi x/a)]$ has a completely real spectrum for $\lambda\le 1$, and begins to develop complex eigenvalues for $\lambda>1$. At the symmetry-breaking threshold $\lambda=1$ some of…

Optics · Physics 2011-07-05 H. F. Jones

A general two dimensional fractional supersymmetric conformal field theory is investigated. The structure of the symmetries of the theory is studied. Then, applying the generators of the closed subalgebra generated by $(L_{-1}, L_{0},…

High Energy Physics - Theory · Physics 2009-10-31 Fardin Kheirandish , Mohammad Khorrami

We continue our study of the semi-classical (large central charge) expansion of the toroidal one-point conformal block in the context of the 2d/4d correspondence. We demonstrate that the Seiberg-Witten curve and (epsilon1-deformed)…

High Energy Physics - Theory · Physics 2015-06-19 Amir-Kian Kashani-Poor , Jan Troost

A general two-dimensional fractional supersymmetric conformal field theory is investigated. The structure of the symmetries of the theory is studied. Applying the generators of the closed subalgebra generated by…

High Energy Physics - Theory · Physics 2009-01-07 Fardin Kheirandish , Mohammad Khorrami

We initiate the lightcone bootstrap analysis of multipoint correlators in a defect conformal field theory. The setup we consider is the three-point function of two bulk and one defect operator. Requiring consistency of the crossing equation…

High Energy Physics - Theory · Physics 2026-03-30 Lorenzo Bianchi , Andrea Mattiello , Lorenzo Quintavalle

We compute in closed analytical form the minimal set of "seed" conformal blocks associated to the exchange of generic mixed symmetry spinor/tensor operators in an arbitrary representation (l,\bar l) of the Lorentz group in four dimensional…

High Energy Physics - Theory · Physics 2016-07-13 Alejandro Castedo Echeverri , Emtinan Elkhidir , Denis Karateev , Marco Serone

Decoupling limits of physical interest occur in regions of space--time where the string coupling diverges. This is illustrated in the celebrated example of five-branes. There are several ways to overcome this strong-coupling problem. We…

High Energy Physics - Theory · Physics 2007-05-23 E. Kiritsis , C. Kounnas , P. M. Petropoulos , I. Rizos

We study the free energy of four-dimensional CFTs on deformed spheres. For generic nonsupersymmetric CFTs only the coefficient of the logarithmic divergence in the free energy is physical, which is an extremum for the round sphere. We then…

High Energy Physics - Theory · Physics 2021-03-10 Joseph A. Minahan , Usman Naseer , Charles Thull

This work reports an extensive study of three-dimensional topological ordered phases that, in one of the directions behave like usual topological order concerning mobility of excitations, but in the perpendicular plane manifest type-II…

Strongly Correlated Electrons · Physics 2024-12-12 Heitor Casasola , Guilherme Delfino , Yizhi You , Paula F. Bienzobaz , Pedro R. S. Gomes

We study two-dimensional conformal field theories generated from a ``symplectic fermion'' - a free two-component fermion field of spin one - and construct the maximal local supersymmetric conformal field theory generated from it. This…

High Energy Physics - Theory · Physics 2011-05-05 Horst G. Kausch

We discuss the most general class of teleparallel scalar-torsion theories of gravity in their covariant formulation. The only restrictions we impose are the invariance of the action under diffeomorphisms and local Lorentz transformations,…

General Relativity and Quantum Cosmology · Physics 2018-09-12 Manuel Hohmann

We revisit the critical two-dimensional Ashkin-Teller model, i.e. the $\mathbb{Z}_2$ orbifold of the compactified free boson CFT at $c=1$. We solve the model on the plane by computing its three-point structure constants and proving crossing…

High Energy Physics - Theory · Physics 2021-11-10 Nikita Nemkov , Sylvain Ribault

We discuss the role of formal deformation theory in quantum field theories and present various ``higher operations'' which control their deformations, (generalized) OPEs, and anomalies. Particular attention is paid to…

High Energy Physics - Theory · Physics 2024-03-21 Davide Gaiotto , Justin Kulp , Jingxiang Wu

In this paper, we investigate if it is possible to express correlation functions in Large N Chern-Simons (CS) matter theories/ Slightly Broken Higher Spin (SBHS) theories purely in terms of single trace twist conformal blocks (TCBs). For…

High Energy Physics - Theory · Physics 2023-08-10 Sachin Jain , Dhruva K. S

We study insertions of composite operators into Wilson loops in N=4 supersymmetric Yang-Mills theory in four dimensions. The loops follow a circular or straight path and the composite insertions transform in the adjoint representation of…

High Energy Physics - Theory · Physics 2009-11-11 Nadav Drukker , Shoichi Kawamoto

Integrable field theories in two dimensions are known to originate as defect theories of 4d Chern-Simons and as symmetry reductions of the 4d anti-self-dual Yang-Mills equations. Based on ideas of Costello, it has been proposed in work of…

High Energy Physics - Theory · Physics 2024-10-31 Lewis T. Cole , Ryan A. Cullinan , Ben Hoare , Joaquin Liniado , Daniel C. Thompson

Using polarization spinor methods in conjunction with the superspace formalism, we construct 3-point superconformal invariants that are used to determine the form of 3-point correlators of spinning superfield operators in $\mathcal{N}=1$…

High Energy Physics - Theory · Physics 2025-02-24 Aditya Jain , Amin A. Nizami

We study higher spin tensor currents in quantum field theory. Scalar, spinor and vector fields admit unique "improved" currents of arbitrary spin, traceless and conserved. Off-criticality as well as at interacting fixed points conservation…

High Energy Physics - Theory · Physics 2009-10-31 D. Anselmi