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In conformal field theory, momentum eigenstates can be parameterized by a pair of real spinors, in terms of which special conformal transformations take a simpler form. This well-known fact allows to express 2-point functions of primary…

High Energy Physics - Theory · Physics 2022-03-30 Marc Gillioz

We investigate the heavy-light four-point function up to double-stress-tensor, supplementing 1910.06357. By using the OPE coefficients of lowest-twist double-stress-tensor in the literature, we find the Regge behavior for lowest-twist…

High Energy Physics - Theory · Physics 2022-06-15 Yue-Zhou Li , Hao-Yu Zhang

We apply the analytic conformal bootstrap method to study weakly coupled conformal gauge theories in four dimensions. We employ twist conformal blocks to find the most general form of the one-loop four-point correlation function of…

High Energy Physics - Theory · Physics 2018-04-04 Johan Henriksson , Tomasz Lukowski

We use the non-minimal pure spinor formalism to compute in a super-Poincare covariant manner the four-point massless one and two-loop open superstring amplitudes, and the gauge anomaly of the six-point one-loop amplitude. All of these…

High Energy Physics - Theory · Physics 2009-11-11 Nathan Berkovits , Carlos R. Mafra

We analyse the general structure of the three-point functions involving conserved bosonic and fermionic higher-spin currents in three-dimensional conformal field theory. Using the constraints of conformal symmetry and conservation…

High Energy Physics - Theory · Physics 2023-02-14 Evgeny I. Buchbinder , Benjamin J. Stone

Three-point correlation functions in the strong-coupling regime of the AdS/CFT correspondence can be analyzed within a semiclassical approximation when two of the vertex operators correspond to heavy string states having large quantum…

High Energy Physics - Theory · Physics 2011-08-05 Rafael Hernandez

In the framework of the semiclassical approach, we compute the normalized structure constants in three-point correlation functions, when two of the vertex operators correspond to "heavy" string states, while the third vertex corresponds to…

High Energy Physics - Theory · Physics 2015-05-30 Plamen Bozhilov

Two- and three-point correlation functions of arbitrary protected operators are constructed in N=4 SYM using analytic superspace methods. The OPEs of two chiral primary multiplets are given. It is shown that the $n$-point functions of…

High Energy Physics - Theory · Physics 2009-11-07 P. J. Heslop , P. S. Howe

We consider three-point correlation functions for superstrings propagating in AdS$_3\times S^3 \times T^4$. In the RNS formalism, these generically involve correlators with current insertions. When vertex operators with non-trivial spectral…

High Energy Physics - Theory · Physics 2023-02-23 Sergio Iguri , Nicolas Kovensky , Julian H. Toro

We study the 3-point functions of gauge-invariant scalar operators in four dimensional $\mathcal{N}=2$ superconformal quiver theories using supersymmetric localization in the planar limit of a large number of colors. By exploiting a web of…

High Energy Physics - Theory · Physics 2023-02-08 M. Billo , M. Frau , A. Lerda , A. Pini , P. Vallarino

In two-dimensional models of critical non-intersecting loops, there are $\ell$-leg fields that insert $\ell\in\mathbb{N}^*$ open loop segments, and diagonal fields that change the weights of closed loops. We conjecture an exact formula for…

Mathematical Physics · Physics 2026-05-06 Jesper Lykke Jacobsen , Rongvoram Nivesvivat , Sylvain Ribault , Paul Roux

We investigate the structure of the constraints on three-point correlation functions emerging when conformal invariance is imposed in momentum space and in arbitrary space-time dimensions, presenting a derivation of their solutions for…

High Energy Physics - Theory · Physics 2015-06-15 Claudio Coriano , Luigi Delle Rose , Emil Mottola , Mirko Serino

Calculational tools are provided allowing to determine general tree-level scattering amplitudes for processes involving bosons and fermions in heterotic and superstring theories in four space-time dimensions. We compute higher-point…

High Energy Physics - Theory · Physics 2011-10-11 D. Haertl , O. Schlotterer , S. Stieberger

We calculate one- and two-point correlators of winding operators in the matrix model of 2D string theory compactified on a circle, recently proposed for the description of string dynamics on the 2D black hole background.

High Energy Physics - Theory · Physics 2014-11-18 Sergei Alexandrov , Vladimir Kazakov

We investigate the special case of quintic interactions for massless higher spin gauge fields using the string-theoretic vertex operator construction for higher spin gauge fields in Vasiliev's frame-like formalism. We compute explicitly the…

High Energy Physics - Theory · Physics 2016-03-23 Dimitri Polyakov

We consider operators in N=4 SYM theory which are dual, at strong coupling, to classical strings rotating in S^5. Three point correlation functions of such operators factorize into a universal contribution coming from the AdS part of the…

High Energy Physics - Theory · Physics 2015-05-30 Romuald A. Janik , Andrzej Wereszczynski

We analyze conformal field theory 4-point functions of the form A ~ O_1(x_1) O_2(x_2) O_1(x_3) O_2(x_4), where the operators O_i are scalar primaries. We show that, in the Lorentzian regime, the limit x_1 -> x_3 is dominated by the exchange…

High Energy Physics - Theory · Physics 2008-10-06 Lorenzo Cornalba

We calculate the scaling dimensions of operators with large global charge and spin in 2+1 dimensional conformal field theories. By the state-operator correspondence, these operators correspond to superfluids with vortices and can be…

High Energy Physics - Theory · Physics 2018-02-19 Gabriel Cuomo , Anton de la Fuente , Alexander Monin , David Pirtskhalava , Riccardo Rattazzi

We continue the approach of [1] to attempt to reproduce the classical electromagnetic current of the $\sqrt{\mathrm{Kerr}}$ solution from the infinite-spin limit of a three-point amplitude with two higher-spin string states and a massless…

High Energy Physics - Theory · Physics 2025-06-19 Francesco Alessio , Paolo Di Vecchia , Maurizio Firrotta , Paolo Pichini

We revisit the problem of classification and explicit construction of the conformal three-point correlation functions of currents of arbitrary integer spin in arbitrary dimensions. For the conserved currents, we set up the equations for the…

High Energy Physics - Theory · Physics 2024-05-06 Melik Karapetyan , Ruben Manvelyan , Karapet Mkrtchyan