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We develop a general formalism of duality rotations for $\cal N$-extended superconformal gauge multiplets in conformally flat backgrounds as an extension of the approach given in arXiv:2107.02001. Additionally, we construct $\mathsf{U}(1)$…

High Energy Physics - Theory · Physics 2023-10-31 Sergei M. Kuzenko , Emmanouil S. N. Raptakis

A holographic duality is proposed relating quantum gravity on dS_D (D-dimensional de Sitter space) to conformal field theory on a single S^{D-1} ((D-1)-sphere), in which bulk de Sitter correlators with points on the boundary are related to…

High Energy Physics - Theory · Physics 2009-11-07 Andrew Strominger

We study conformal twist field four-point functions on a $\mathbb Z_N$ orbifold. We examine in detail the case $N=3$ and analyze theories obtained by replicated $N$-times a minimal model with central charge $c<1$. A fastly convergent…

High Energy Physics - Theory · Physics 2021-11-02 Filiberto Ares , Raoul Santachiara , Jacopo Viti

We present a general method for computing the central charges a and c of N=2 superconformal field theories corresponding to singular points in the moduli space of N=2 gauge theories. Our method relates a and c to the U(1)_R anomalies of the…

High Energy Physics - Theory · Physics 2014-11-18 Alfred D. Shapere , Yuji Tachikawa

We consider the large-N limit of \mathcal{N}=6 U(N) \times U(N) superconformal Chern-Simons (ABJM) theory with fixed level k, which is conjectured to be dual to M-theory on AdS4\times (S^7/Z_k) background. We point out that the so-called…

High Energy Physics - Theory · Physics 2015-05-30 Masanori Hanada , Carlos Hoyos , Hidehiko Shimada

We study the interplay between mass deformations and unoriented projections of super-conformal quiver gauge theories resulting from D3-branes at (toric) Calabi-Yau singularities. We focus on simple orbifold cases…

High Energy Physics - Theory · Physics 2020-07-28 Massimo Bianchi , Davide Bufalini , Salvo Mancani , Fabio Riccioni

We use F-theory to classify possibly all six-dimensional superconformal field theories (SCFTs). This involves a two step process: We first classify all possible tensor branches allowed in F-theory (which correspond to allowed collections of…

High Energy Physics - Theory · Physics 2016-01-20 Jonathan J. Heckman , David R. Morrison , Tom Rudelius , Cumrun Vafa

In this paper we apply the previously derived formalism of permutation orbifold conformal field theories to N=2 supersymmetric minimal models. By interchanging extensions and permutations of the factors we find a very interesting structure…

High Energy Physics - Theory · Physics 2011-08-03 M. Maio , A. N. Schellekens

In this note we begin a systematic study of compact conformal manifolds of SCFTs in four dimensions (our notion of compactness is with respect to the topology induced by the Zamolodchikov metric). Supersymmetry guarantees that such…

High Energy Physics - Theory · Physics 2015-06-23 Matthew Buican , Takahiro Nishinaka

We consider configurations of stacks of orientifold planes and D-branes wrapped on a non trivial internal space of the structure {(Gepner model)^{c=3n} x T^{2(3-n)}}/Z_N, for n=1,2,3. By performing simple moddings by discrete symmetries of…

High Energy Physics - Theory · Physics 2009-11-10 G. Aldazabal , E. C. Andrés , J. E. Juknevich

We compute the superconformal partial waves of the four-point correlator $\langle JJJJ\rangle$, in which the external operator $J$ is the superconformal primary of the $4D$ $\mathcal{N}=2$ stress-tensor multiplet $\mathcal{J}$. We develop…

High Energy Physics - Theory · Physics 2020-02-07 Zhijin Li

We construct an N=1 superconformal field theory using branes of type IIA string theory. The IIA construction is related via T-duality to a IIB configuration with 3-branes in a background generated by two intersecting O7-planes and 7-branes.…

High Energy Physics - Theory · Physics 2010-02-03 Martin Gremm , Anton Kapustin

In conformal field theories (CFTs) of dimension $d>3$, two-dimensional (2d) conformal defects are characterised in part by central charges defined via the defect's contribution to the trace anomaly. However, in general for interacting CFTs…

High Energy Physics - Theory · Physics 2020-06-24 Adam Chalabi , Andy O'Bannon , Brandon Robinson , Jacopo Sisti

In this work we study particular TQFTs in three dimensions, known as Symmetry Topological Field Theories (or SymTFTs), to identify line defects of two-dimensional CFTs arising from the compactification of 6d $(2,0)$ SCFTs on 4-manifolds…

High Energy Physics - Theory · Physics 2024-08-26 Jin Chen , Wei Cui , Babak Haghighat , Yi-Nan Wang

We review the role of integrability in the planar spectral problem of four-dimensional superconformal gauge theories besides N=4 SYM. The cases considered include the Leigh-Strassler marginal deformations of N=4 SYM, quiver theories which…

High Energy Physics - Theory · Physics 2015-03-17 Konstantinos Zoubos

We realize four-dimensional N=2 superconformal quiver gauge theories with alternating SO and USp gauge groups as compactifications of the six-dimensional D_N theory with defects. The construction can be used to analyze infinitely…

High Energy Physics - Theory · Physics 2009-08-06 Yuji Tachikawa

We show that the non-gravitational sectors of certain 6d and 5d supergravity theories can be decomposed into superconformal field theories (SCFTs) which are coupled together by pairwise identifying and gauging mutual global symmetries. In…

High Energy Physics - Theory · Physics 2019-05-02 Hirotaka Hayashi , Patrick Jefferson , Hee-Cheol Kim , Kantaro Ohmori , Cumrun Vafa

We consider M-theory in the presence of M parallel M5-branes probing a transverse A_{N-1} singularity. This leads to a superconformal theory with (1,0) supersymmetry in six dimensions. We compute the supersymmetric partition function of…

High Energy Physics - Theory · Physics 2015-06-17 Babak Haghighat , Can Kozcaz , Guglielmo Lockhart , Cumrun Vafa

For SCFTs with an $SU(2)$ R-symmetry, we determine the superconformal blocks that contribute to the four-point correlation function of a priori distinct half-BPS superconformal primaries as an expansion in terms of the relevant bosonic…

High Energy Physics - Theory · Physics 2020-02-05 Florent Baume , Michael Fuchs , Craig Lawrie

We develop a general formalism of duality rotations for bosonic conformal spin-$s$ gauge fields, with $s\geq 2$, in a conformally flat four-dimensional spacetime. In the $s=1$ case this formalism is equivalent to the theory of…

High Energy Physics - Theory · Physics 2026-01-06 Sergei M. Kuzenko , Emmanouil S. N. Raptakis
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