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We comment on several points concerning unparticles which have been overlooked in the literature. One regards Mack's unitarity constraint lower bounds on CFT operator dimensions,e.g. d\geq 3 for primary, gauge invariant, vector unparticle…

High Energy Physics - Phenomenology · Physics 2008-11-26 Benjamin Grinstein , Kenneth Intriligator , Ira Z. Rothstein

We consider a class of line operators in d=4, N=2 supersymmetric field theories which leave four supersymmetries unbroken. Such line operators support a new class of BPS states which we call "framed BPS states." These include halo bound…

High Energy Physics - Theory · Physics 2012-10-09 Davide Gaiotto , Gregory W. Moore , Andrew Neitzke

A naive celestial dictionary causes massless two-point functions to take the delta-function forms in the celestial conformal field theory (CCFT). We rectify the dictionary, involving the shadow transformation so that the two-point functions…

High Energy Physics - Theory · Physics 2023-12-13 Hideo Furugori , Naoki Ogawa , Sotaro Sugishita , Takahiro Waki

Coherent state operators (CSO) are defined as operator valued functions on G=SL(n,C), homogeneous with respect to right multiplication by lower triangular matrices. They act on a model space containing all holomorphic finite dimensional…

High Energy Physics - Theory · Physics 2009-10-28 H. Sazdjian , Y. S. Stanev , I. T. Todorov

We present new asymptotic formulas for the distribution of OPE coefficients in conformal field theories. These formulas involve products of four or more coefficients and include light-light-heavy as well as heavy-heavy-heavy contributions.…

High Energy Physics - Theory · Physics 2023-11-15 Tarek Anous , Alexandre Belin , Jan de Boer , Diego Liska

We explore celestial amplitude corresponding to $2d$ bulk $\mathcal{S}$-matrix. We consider scalar particles with identical mass and show that the celestial amplitude becomes the fourier transform of the $2d$ $\mathcal{S}$-matrix written in…

High Energy Physics - Theory · Physics 2023-05-16 Sarthak Duary

We compute scattering amplitudes involving one massive scalar and two, three, or four gravitons. We show that when the conformal dimension of the massive scalar is set to zero, the resulting celestial correlators depend {\it only} on the…

High Energy Physics - Theory · Physics 2023-10-03 Adam Ball , Shounak De , Akshay Yelleshpur Srikant , Anastasia Volovich

We obtain infinitely many boundary operators in the Brownian loop soup in the subcritical phase by analyzing the conformal block expansion of the two-point function that computes the probability of having two marked points on the upper…

Mathematical Physics · Physics 2026-01-07 Federico Camia , Rongvoram Nivesvivat

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 use the $K$ special conformal generator in the Fuzzy sphere setup of the Ising CFT to determine primary states. For $\Delta \lesssim 8$, we recover the known primaries and find several new ones, including in the parity-odd sector. We…

High Energy Physics - Theory · Physics 2026-02-06 Giulia Fardelli , A. Liam Fitzpatrick , Emanuel Katz

Since euclidean global AdS_2 space represented as a strip has two boundaries, the state / operator correspondence in the dual CFT_1 reduces to the standard map from the operators acting on a single copy of the Hilbert space to states in the…

High Energy Physics - Theory · Physics 2011-12-16 Ashoke Sen

We describe in detail the method used in our previous work arXiv:1611.10344 to study the Wilson-Fisher critical points nearby generalized free CFTs, exploiting the analytic structure of conformal blocks as functions of the conformal…

High Energy Physics - Theory · Physics 2017-05-24 Ferdinando Gliozzi , Andrea L. Guerrieri , Anastasios C. Petkou , Congkao Wen

We study one and two point functions of conformal field theories on spaces of maximal symmetry with and without boundaries and investigate their spectral representations. Integral transforms are found, relating the spectral decomposition to…

High Energy Physics - Theory · Physics 2015-09-30 Kurt Hinterbichler , James Stokes , Mark Trodden

Big bang/big crunch closed universes can be realized in AdS/CFT, even though they lack asymptotically AdS boundaries. With enough bulk entanglement, the bulk Hilbert space of a closed universe can be holographically encoded in the CFT. We…

High Energy Physics - Theory · Physics 2025-08-11 Stefano Antonini , Pratik Rath , Martin Sasieta , Brian Swingle , Alejandro Vilar López

We provide a one-to-one correspondence between line operators and states in four-dimensional CFTs with continuous 1-form symmetries. In analogy with 0-form symmetries in two dimensions, such CFTs have a free photon realisation and enjoy an…

High Energy Physics - Theory · Physics 2024-06-06 Diego M. Hofman , Stathis Vitouladitis

We study asymptotics of three point coefficients (light-light-heavy) and two point correlators in heavy states in unitary, compact $2$D CFTs. We prove an upper and lower bound on such quantities using numerically assisted Tauberian…

High Energy Physics - Theory · Physics 2021-05-19 Diptarka Das , Yuya Kusuki , Sridip Pal

We show that in boundary CFTs, there exists a one-to-one correspondence between the boundary operator expansion of the two-point correlation function and a power series expansion of the layer susceptibility. This general property allows the…

High Energy Physics - Theory · Physics 2020-12-11 Parijat Dey , Tobias Hansen , Mykola Shpot

In this work, we study the $\frac{1}{8}$-BPS heavy-heavy-light-light correlators in the D1D5 CFT and its holographic dual. On the field theory side, we compute the fermionic four-point correlators at the free orbifold point. On the dual…

High Energy Physics - Theory · Physics 2019-10-23 Jia Tian , Jue Hou , Bin Chen

In a class of 2D CFTs with higher spin symmetry, we compute thermal two-point functions of certain scalar primary operators in the presence of nonzero chemical potential for higher spin charge. These are shown to agree with the same…

High Energy Physics - Theory · Physics 2015-06-16 Matthias R. Gaberdiel , Kewang Jin , Eric Perlmutter

We revisit the standard construction of the celestial stress tensor as a shadow of the subleading conformally soft graviton. In its original formulation there is an obstruction to reproducing the expected TT OPE in the double soft limit. We…

High Energy Physics - Theory · Physics 2023-05-10 Shamik Banerjee , Sabrina Pasterski
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