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We compute three-point correlators between the stress-energy tensor and conserved currents of conformal field theories (CFTs) in 2+1 dimensions. We first compute the correlators in the large-flavor-number expansion of conformal gauge…

Strongly Correlated Electrons · Physics 2014-10-06 Debanjan Chowdhury , Suvrat Raju , Subir Sachdev , Ajay Singh , Philipp Strack

We give a group-theoretic interpretation of the AdS/CFT correspondence as relation of representation equivalence between representations of the conformal group describing the bulk AdS fields $\phi$ and the coupled boundary fields $\phi_0$…

High Energy Physics - Theory · Physics 2009-10-31 V. K. Dobrev

We study the correlation functions of logarithmic conformal field theories. First, assuming conformal invariance, we explicitly calculate two-- and three-- point functions. This calculation is done for the general case of more than one…

High Energy Physics - Theory · Physics 2015-06-26 M. R. Rahimi Tabar , A. Aghamohammadi , M. Khorrami

We study the spectral flowed sectors of the H3 WZW model in the context of the holographic duality between type IIB string theory in AdS(3)x S^3 x T^4 with NSNS flux and the symmetric product orbifold of T^4. We construct explicitly the…

High Energy Physics - Theory · Physics 2009-12-10 Gaston Giribet , Ari Pakman , Leonardo Rastelli

We present a new efficient method for computing the non-linearity parameters of the higher order correlation functions of local type curvature perturbations in inflation models having a $\cal N$-component scalar field, focusing on the…

Astrophysics · Physics 2014-11-18 Shuichiro Yokoyama , Teruaki Suyama , Takahiro Tanaka

We demonstrate how three-point correlation functions of the free scalar U(N) model involving two scalar operators and one spin-$s$ conserved current organize themselves into corresponding AdS amplitudes involving two scalar and one spin-$s$…

High Energy Physics - Theory · Physics 2020-09-23 Shailesh Lal

In this paper we simplify and extend previous work on three-point functions in Vasiliev's higher spin gauge theory in AdS4. We work in a gauge in which the space-time dependence of Vasiliev's master fields is gauged away completely, leaving…

High Energy Physics - Theory · Physics 2011-08-02 Simone Giombi , Xi Yin

We perform Monte Carlo calculation of correlation functions in 4d N=4 super Yang-Mills theory on R*S^3 in the planar limit. In order to circumvent the well-known problem of lattice SUSY, we adopt the idea of a novel large-N reduction, which…

High Energy Physics - Lattice · Physics 2010-11-18 Masazumi Honda , Goro Ishiki , Sang-Woo Kim , Jun Nishimura , Asato Tsuchiya

We calculate the leading contributions to the connected two-point functions of protected scalar operators in the defect version of N=4 SYM theory which is dual to the D5-D3 probe-brane system with k units of background gauge field flux.…

High Energy Physics - Theory · Physics 2022-08-24 Marius de Leeuw , Asger C. Ipsen , Charlotte Kristjansen , Kasper E. Vardinghus , Matthias Wilhelm

We present a "holographic" reconstruction of bulk spacetime geometry using correlation functions of a massless field living at the "future boundary" of the spacetime, namely future null infinity $\mathscr{I}^+$. It is holographic in the…

High Energy Physics - Theory · Physics 2022-12-07 Erickson Tjoa , Finnian Gray

We develop a diagrammatic language for symmetric product orbifolds of two-dimensional conformal field theories. Correlation functions of twist operators are written as sums of diagrams: each diagram corresponds to a branched covering map…

High Energy Physics - Theory · Physics 2010-03-23 Ari Pakman , Leonardo Rastelli , Shlomo S. Razamat

The computation of two and three point functions in the Coulomb gas free field approach to string theory in the SL(2,R)/U(1) black hole background is reviewed. An interesting relation arises when comparing the results obtained using two…

High Energy Physics - Theory · Physics 2009-11-07 Gaston Giribet , Carmen Nunez

We give a group-theoretic interpretation of relativistic holography as equivalence between representations of the anti de Sitter algebra describing bulk fields and boundary fields. Our main result is the explicit construction of the…

High Energy Physics - Theory · Physics 2016-07-22 N. Aizawa , V. K. Dobrev

There is some tension between two well-known ideas in holography. On the one hand, subregion duality asserts that the reduced density matrix associated with a limited region of the boundary theory is dual to a correspondingly limited region…

High Energy Physics - Theory · Physics 2022-09-07 Alberto Guijosa , Yaithd D. Olivas , Juan F. Pedraza

We consider 3-point and 4-point correlation functions in a conformal field theory with a W-algebra symmetry. Whereas in a theory with only Virasoro symmetry the three point functions of descendants fields are uniquely determined by the…

High Energy Physics - Theory · Physics 2009-10-22 P. Bowcock , G. M. T. Watts

We consider the Carrollian conformal field theories involving scalar operators in the momentum representation. The momentum space Ward identities are explicitly solved to obtain the different branches of 2 and 3 point Carrollian conformal…

High Energy Physics - Theory · Physics 2025-12-09 Raffaele Marotta , Arvind Shekar , Mritunjay Verma

We study conformal boundary conditions for the theory of a single real scalar to investigate whether the known Dirichlet and Neumann conditions are the only possibilities. For this free bulk theory there are strong restrictions on the…

High Energy Physics - Theory · Physics 2021-05-03 Connor Behan , Lorenzo Di Pietro , Edoardo Lauria , Balt C. van Rees

We study exact correlation functions of N=4 SYM at zero coupling. It has been known that it is convenient to label local gauge invariant operators by irreducible representations of symmetric groups/Brauer algebras. We first review the…

High Energy Physics - Theory · Physics 2015-06-05 Yusuke Kimura

The Brownian loop soup is a conformally invariant statistical ensemble of random loops in two dimensions characterized by an intensity $\lambda>0$, with central charge $c=2 \lambda$. Recent progress resulted in an analytic form for the…

Mathematical Physics · Physics 2023-01-04 Federico Camia , Valentino F. Foit , Alberto Gandolfi , Matthew Kleban

The 16 higher spin currents with spins (1, 3/2, 3/2, 2), (3/2, 2, 2, 5/2), (3/2, 2, 2, 5/2) and (2, 5/2, 5/2, 3) in an extension of large N=4 `nonlinear' superconformal algebra in two dimensions were obtained previously. By analyzing the…

High Energy Physics - Theory · Physics 2015-06-02 Changhyun Ahn , Hyunsu Kim