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We construct a Super-Grassmannian for $n-$point functions in $\mathcal{N}=2$ to $4$ SCFT$_3$. The constraints imposed by super-conformal invariance and $R-$symmetry are completely manifest in this formalism through (operator-valued) delta…

High Energy Physics - Theory · Physics 2026-04-10 Aswini Bala , Sachin Jain , Dhruva K. S. , Adithya A Rao

A chemical potential may be introduced into the AdS/CFT correspondence by setting the D3 branes of the construction spinning. In the field theory the fermionic modes are expected to condense as Cooper pairs, although at zero temperature the…

High Energy Physics - Theory · Physics 2010-02-03 Nick Evans , Michela Petrini

We study the contact terms that appear in the correlation functions of exactly marginal operators using the AdS/CFT correspondence. It is known that CFT with an exactly marginal deformation requires the existence of the contact terms with…

High Energy Physics - Theory · Physics 2020-10-14 Tadakatsu Sakai , Masashi Zenkai

We consider the non-interacting massive Wess-Zumino model in four-dimensional anti-de Sitter space and show that the conformal dimensions of the corresponding boundary fields satisfy the relations expected from superconformal invariance. In…

High Energy Physics - Theory · Physics 2008-11-26 W. Mueck , K. S. Viswanathan

In this article we study in detail the supersymmetric structures that underlie the system of fermionic zero modes around a superconducting cosmic string. Particularly, we extend the analysis existing in the literature on the one dimensional…

High Energy Physics - Theory · Physics 2015-06-18 V. K. Oikonomou

We study the spectrum of certain two-particle operators in the supergravity regime of the D1-D5 system, focussing on the four-point correlators of tensor multiplets on $AdS_3\times S^3$ at tree level. In Mellin space, these are nicely…

High Energy Physics - Theory · Physics 2022-01-25 Francesco Aprile , Michele Santagata

For an effective AdS theory, we present a simple prescription to compute the renormalization of its dual boundary field theory. In particular, we define anomalous dimension holographically as the dependence of the wave-function…

High Energy Physics - Theory · Physics 2015-05-28 JiJi Fan

We revisit the four-point function of super gluons in $AdS_5 \times S^3$ in the spirit of the large $p$ formalism and show how the integrand of a generalised Mellin transform satisfies various non-trivial properties such as $U(1)$…

High Energy Physics - Theory · Physics 2023-04-19 J. M. Drummond , R. Glew , M. Santagata

Boundary conditions for massive fermions are investigated in AdS_d for $d \ge 2$. For fermion masses in the range $0 \le |m| < 1/2\ell$ with $\ell$ the AdS length, the standard notion of normalizeability allows a choice of boundary…

High Energy Physics - Theory · Physics 2009-01-08 Aaron J. Amsel , Donald Marolf

We develop a framework for constructing superconformal blocks for correlators of general supermultiplets in theories with $\mathrm{SU}(m,m|2n)$ symmetry, such as four-dimensional $\mathcal{N}=2$ and $\mathcal{N} = 4$ conformal theories. We…

High Energy Physics - Theory · Physics 2026-05-12 Tobias Hansen , Paul Heslop , Hector Puerta-Ramisa

The AdS_3/CFT_2 correspondence is checked beyond the supergravity approximation by comparing correlation functions. To this end we calculate 2- and 3-point functions on the sphere of certain chiral primary operators for strings on AdS_3 x…

High Energy Physics - Theory · Physics 2010-10-27 Matthias R. Gaberdiel , Ingo Kirsch

We are studying scale properties of twist-2 conformal operators in supersymmetric Wess-Zumino model. In particular, we are interested in a construction of multiplicatively renormalized conformal operators. We show, that in order to find…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. I. Onishchenko , V. N. Velizhanin

We review recent developments in the study of the AdS/CFT correspondence in low dimensions, focusing on the construction of AdS$_3$/CFT$_2$ and AdS$_2$/CFT$_1$ dual pairs in massive Type IIA string theory. We start discussing the…

High Energy Physics - Theory · Physics 2022-04-12 Yolanda Lozano , Nicolò Petri , Anayeli Ramirez

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 extend recent remarkable progress in the comparison of the dynamical energy spectrum of rotating closed strings in AdS_5xS^5 and the scaling weights of the corresponding non-near-BPS operators in planar N=4 supersymmetric gauge theory.…

High Energy Physics - Theory · Physics 2009-09-29 N. Beisert , S. Frolov , M. Staudacher , A. A. Tseytlin

We obtain the exact solutions to the field equations for massless scalar and massless spinor fields on quantized two-dimensional anti-de Sitter space. We then apply the AdS/CFT correspondence principle to get exact answers for the two point…

High Energy Physics - Theory · Physics 2022-01-12 A. Pinzul , A. Stern

The AdS/CFT correspondence between conformal field theory and string states in an extended space-time has provided new insights into not only hadron spectra, but also their light-front wavefunctions. We show that there is an exact…

High Energy Physics - Phenomenology · Physics 2015-06-25 Stanley J. Brodsky

This is a comprehensive review of the worldsheet techniques for the quantization of type IIB superstring theory on the AdS_5 x S^5 background, using the pure spinor formalism. Particular emphasis is devoted to AdS/CFT applications, with…

High Energy Physics - Theory · Physics 2015-05-27 Luca Mazzucato

In this thesis, the AdS/CFT correspondence is used as a tool to explore novel AdS$_5$ Supergravity backgrounds (containing five-dimensional Anti-de Sitter spacetime) and their dual (four dimensional) Conformal Field Theory descriptions. In…

High Energy Physics - Theory · Physics 2025-10-15 Paul Merrikin

The symmetric orbifold of $\mathbb{T}^4$ is the analogue of free SYM in four dimensions, and its dual is described by a tensionless string propagating in ${\rm AdS}_3\times {\rm S}^3 \times \mathbb{T}^4$. In this paper we study the…

High Energy Physics - Theory · Physics 2023-07-26 Marc-Antoine Fiset , Matthias R. Gaberdiel , Kiarash Naderi , Vit Sriprachyakul
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