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We propose a definition of Mellin amplitudes for conformal correlators involving arbitrary spinning operators in tensor representations of the Lorentz group. These representations cover all bosonic local operators. Our strategy is to…

High Energy Physics - Theory · Physics 2025-10-10 Zhongjie Huang , Yichao Tang

We study correlation functions of Wilson loops and local operators in a subsector of N=4 SYM which preserves two supercharges. Localization arguments allow to map the problem to a calculation in bosonic two-dimensional Yang-Mills theory. In…

High Energy Physics - Theory · Physics 2015-06-05 Simone Giombi , Vasily Pestun

We study n-point correlation functions for chiral primary operators in three dimensional supersymmetric Chern-Simons matter theories. Our analysis is carried on in N=2 superspace and covers N=2,3 supersymmetric CFT's, the N=6 ABJM and the…

High Energy Physics - Theory · Physics 2015-05-27 Marco S. Bianchi , Matias Leoni , Andrea Mauri , Silvia Penati , CarloAlberto Ratti , Alberto Santambrogio

We study the imprint of higher spin supermultiplets on cosmological correlators, namely the non-Gaussianity of the cosmic microwave background. Supersymmetry is used as a guide to introduce the contribution of fermionic higher spin…

High Energy Physics - Theory · Physics 2019-10-25 Stephon Alexander , S. James Gates , Leah Jenks , K. Koutrolikos , Evan McDonough

The spherical entanglement entropy of higher--spin fields conjectured by Benedetti and Casini is shown to follow by extrapolation of already existing low spin expressions. The corresponding fermion formula is also exhibited.

High Energy Physics - Theory · Physics 2019-08-15 J. S. Dowker

We derive harmonic superspaces for N=2,3,4 SYM theory in four dimensions from superstring theory. The pure spinors in ten dimensions are dimensionally reduced and yield the harmonic coordinates. Two anticommuting BRST charges implement…

High Energy Physics - Theory · Physics 2009-11-10 P. A. Grassi , P. van Nieuwenhuizen

Using a 5D N=1 supersymmetric toy-model compactified on S_1/(Z_2 x Z_2'), with a ``brane-localised'' superpotential, it is shown that higher (dimension) derivative operators are generated as one-loop counterterms to the (mass)^2 of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. M. Ghilencea

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

We compute the most general superconformal blocks for scalar operators in $4\mathcal{D}$ $\mathcal{N}=1$ superconformal field theories. Specifically we employ the supershadow formalism to study the four-point correlator $\langle\Phi_1…

High Energy Physics - Theory · Physics 2016-02-24 Zhijin Li , Ning Su

We continue our study of string correlators on Euclidean $\text{AdS}_3$ with pure NS-NS flux. The worldsheet and spacetime correlators have a rich analytic structure, which we analyse completely for genus 0 four-point functions. We show…

High Energy Physics - Theory · Physics 2022-09-07 Andrea Dei , Lorenz Eberhardt

We present the explicit expressions for the (regularized) terms in the large-epsilon asymptotic series of in particular the self-energy operator pertaining to arbitrary systems of interacting spin-s fermions in d spatial dimensions and…

Strongly Correlated Electrons · Physics 2009-11-07 Behnam Farid

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 investigate the properties of a four-dimensional conformal field theory possessing a fermionic higher-spin current $Q_{\alpha(2k) \dot{\alpha}}$. Using a computational approach, we examine the number of independent tensor structures…

High Energy Physics - Theory · Physics 2023-07-18 Evgeny I. Buchbinder , Benjamin J. Stone

This paper derives a large web of exact lattice dualities in one and two spatial dimensions. Some of the dualities are well-known, while others, such as two-dimensional boson-parafermion dualities, are new. The procedure is systematic,…

High Energy Physics - Theory · Physics 2019-02-01 Djordje Radicevic

We present new formulas for one-loop ambitwistor-string correlators for gauge theories in any even dimension with arbitrary combinations of gauge bosons, fermions and scalars running in the loop. Our results are driven by new…

High Energy Physics - Theory · Physics 2020-09-15 Alex Edison , Song He , Oliver Schlotterer , Fei Teng

We use linked cluster series expansion methods to estimate the values of various short distance correlation functions in $S=1/2$ Heisenberg antiferromagnets at T=0, for dimension $d=1,2,3$. The method incorporates the possibility of…

Strongly Correlated Electrons · Physics 2009-10-31 Zheng Weihong , J. Oitmaa

The pure spinor formulation of the ten-dimensional superstring leads to manifestly supersymmetric loop amplitudes, expressed as integrals in pure spinor superspace. This paper explores different methods to evaluate these integrals and then…

High Energy Physics - Theory · Physics 2009-11-13 Christian Stahn

In superstring theory spin structures are present on both the 2-dimensional worldsheet and 10-dimensional spacetime. We present a new proposal for the B-field in superstring theory and demonstrate its interaction with worldsheet spin…

High Energy Physics - Theory · Physics 2010-07-29 Jacques Distler , Daniel S. Freed , Gregory W. Moore

In this work, we calculate correlators of long strings on AdS$_3\times$S$^3\times$T$^4$ with pure NS-NS flux. We first construct physical vertex operators that correspond to long strings. Due to the GSO projection, they depend on the parity…

High Energy Physics - Theory · Physics 2025-04-29 Zhe-fei Yu , Cheng Peng

We explicitly compute the (NS) sector conventional type-I superstring tree-level amplitudes at five points after compactifying to 4-D, express the QFT building block in the helicity basis, and give several attempts towards arbitrary $n$…

High Energy Physics - Theory · Physics 2024-01-19 Chen Huang