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Related papers: 2d small N=4 Long-multiplet superconformal block

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We use analytical bootstrap techniques to study supersymmetric monodromy defects in the critical Wess-Zumino model. In preparation for this result we first study two related systems which are interesting on their own: general monodromy…

High Energy Physics - Theory · Physics 2022-06-15 Aleix Gimenez-Grau , Pedro Liendo

We describe how to implement the conformal bootstrap program in the context of the embedding space OPE formalism introduced in previous work. To take maximal advantage of the known properties of the scalar conformal blocks for…

High Energy Physics - Theory · Physics 2025-04-14 Jean-François Fortin , Wen-Jie Ma , Valentina Prilepina , Witold Skiba

A new class of N=2 locally supersymmetric higher-derivative invariants is constructed based on logarithms of conformal primary chiral superfields. They characteristically involve a coupling to R_{\mu\nu}^2 - 1/3*R^2, which equals the…

High Energy Physics - Theory · Physics 2015-06-16 Daniel Butter , Bernard de Wit , Sergei M. Kuzenko , Ivano Lodato

We construct an off-shell $\mathcal{N}=2$ superconformal cubic vertex for the hypermultiplet coupled to an arbitrary integer higher spin ${\bf s}$ gauge $\mathcal{N}=2$ supermultiplet % in flatfour-dimensional space. in a general…

High Energy Physics - Theory · Physics 2024-09-13 Ioseph Buchbinder , Evgeny Ivanov , Nikita Zaigraev

We determine the one-loop deformation of the conformal symmetry of a general N}=2 superconformally invariant Yang-Mills theory. The deformation is computed for several explicit examples which have a realization as world-volume theories on a…

High Energy Physics - Theory · Physics 2009-11-07 S. M. Kuzenko , I. N. McArthur , S. Theisen

It was recently shown that IIB supergravity on AdS$_5\times$S$^5$ enjoys 10d conformal symmetry and that superstring theory on this background can be described using a 10d scalar effective field theory. In this paper we adapt these two…

High Energy Physics - Theory · Physics 2022-03-30 Theresa Abl , Paul Heslop , Arthur E. Lipstein

In three dimensions, every known N=4 supermultiplet has an off-shell completion. However, there is no off-shell N=4 formulation for the known extended superconformal Chern-Simons (CS) theories with eight and more supercharges. To achieve a…

High Energy Physics - Theory · Physics 2015-11-11 Sergei M. Kuzenko , Igor B. Samsonov

We consider the problem of computing (irregular) conformal blocks in 2d CFTs whose chiral symmetry algebra is the N=2 superconformal algebra. Our construction uses two ingredients: (i) the relation between the representation theories of the…

High Energy Physics - Theory · Physics 2015-06-05 V. Belavin , Niclas Wyllard

An N=4 supersymmetric extension of the l-conformal Galilei algebra is constructed. This is achieved by combining generators of spatial symmetries from the l-conformal Galilei algebra and those underlying the most general superconformal…

High Energy Physics - Theory · Physics 2017-06-07 Anton Galajinsky , Ivan Masterov

We describe examples of drastic truncations of conformal bootstrap equations encoding much more information than that obtained by a direct numerical approach. A three-term truncation of the four point function of a free scalar in any space…

High Energy Physics - Theory · Physics 2016-11-23 Ferdinando Gliozzi

We analyze the conformal bootstrap constraints in theories with four supercharges and a global $O(N) \times U(1)$ flavor symmetry in $3 \leq d \leq 4$ dimensions. In particular, we consider the 4-point function of $O(N)$-fundamental chiral…

High Energy Physics - Theory · Physics 2015-11-25 Shai M. Chester , Luca V. Iliesiu , Silviu S. Pufu , Ran Yacoby

We study the stress tensor multiplet four-point function in the 6d maximally supersymmetric $(2,0)$ $A_{N-1}$ and $D_N$ theories, which have no Lagrangian description, but in the large $N$ limit are holographically dual to weakly coupled…

High Energy Physics - Theory · Physics 2021-07-26 Luis F. Alday , Shai M. Chester , Himanshu Raj

The chiral algebra of a 4D $N\geq2$ superconformal field theory is a vertex operator algebra generated by the Schur subsector of the 4D theory and its rigid (yet rich) structure has been useful in constraining and classifying 4D N=2 SCFTs.…

High Energy Physics - Theory · Physics 2024-06-05 Wei Li

Whether O(N)-invariant conformal field theory exists in five dimensions with its implication to higher-spin holography was much debated. We find an affirmative result on this question by utilizing conformal bootstrap approach. In solving…

High Energy Physics - Theory · Physics 2014-12-23 Jin-Beom Bae , Soo-Jong Rey

Conformal field theories have been long known to describe the fascinating universal physics of scale invariant critical points. They describe continuous phase transitions in fluids, magnets, and numerous other materials, while at the same…

High Energy Physics - Theory · Physics 2019-04-18 David Poland , Slava Rychkov , Alessandro Vichi

This paper explores the numerical conformal bootstrap in general spacetime dimensions through the lens of a distinct category of analytic functionals, previously employed in two-dimensional studies. We extend the application of these…

High Energy Physics - Theory · Physics 2024-08-30 Kausik Ghosh , Zechuan Zheng

We construct a large new family of four-dimensional N=1 superconformal field theories by coupling Gaiotto's T_N theories to N=1 vector multiplets. In particular, we consider theories in which various T_N blocks are linked together via…

High Energy Physics - Theory · Physics 2011-11-16 Ibrahima Bah , Brian Wecht

Utilizing sets of super-vector fields (derivations), explicit expressions are obtained for; (a.) the 1D, N-extended superconformal algebra, (b.) the 1D, N-extended super Virasoro algebra for N = 1, 2 and 4 and (c.) a geometrical realization…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates, , Lubna Rana

In this work we apply the lightcone bootstrap to a four-point function of scalars in two-dimensional conformal field theory. We include the entire Virasoro symmetry and consider non-rational theories with a gap in the spectrum from the…

High Energy Physics - Theory · Physics 2021-11-10 Carlos Cardona , Cynthia Keeler , William Munizzi

We study CFT$_2$ Virasoro conformal blocks of the 4-point correlation function $\langle \mathcal{O}_L \mathcal{O}_H \mathcal{O}_H \mathcal{O}_H \rangle $ with three background operators $\mathcal{O}_H$ and one perturbative operator…

High Energy Physics - Theory · Physics 2019-09-04 K. B. Alkalaev , Mikhail Pavlov