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Detailed studies of four dimensional N=2 superconformal field theories (SCFT) defined by isolated complete intersection singularities are performed: we compute the Coulomb branch spectrum, Seiberg-Witten solutions and central charges. Most…

High Energy Physics - Theory · Physics 2016-06-22 Yifan Wang , Dan Xie , Stephen S. -T. Yau , Shing-Tung Yau

We study two-dimensional nonlinear sigma models in which the target spaces are the coset supermanifolds U(n+m|n)/[U(1)\times U(n+m-1|n)] \cong CP^{n+m-1|n} (projective superspaces) and OSp(2n+m|2n)/OSp(2n+m-1|2n) \cong S^{2n+m-1|2n}…

High Energy Physics - Theory · Physics 2009-11-07 N. Read , H. Saleur

Within the framework of four dimensional conformal supergravity we consider $\mathcal{N}=1,2,3,4$ supersymmetric theories generally twisted along the abelian subgroups of the R-symmetry and possibly other global symmetry groups. Upon…

High Energy Physics - Theory · Physics 2017-06-28 Antonio Amariti , Luca Cassia , Silvia Penati

We initiate a systematic study of four dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs) based on the analysis of their Coulomb branch geometries. Because these SCFTs are not uniquely characterized by their scale-invariant…

High Energy Physics - Theory · Physics 2017-11-06 Philip Argyres , Matteo Lotito , Yongchao Lü , Mario Martone

We study the four-dimensional N=2 superconformal field theories that describe D3-branes probing the recently constructed N=2 S-folds in F-theory. We introduce a novel, infinite class of superconformal field theories related to S-fold…

High Energy Physics - Theory · Physics 2021-02-03 Simone Giacomelli , Carlo Meneghelli , Wolfger Peelaers

Gaiotto and Witten found that one can construct 3d $\mathcal{N}=4$ Chern-Simons matter theories by using $\mathcal{N}=4$ SCFT whose momentum map of global symmetries satisfy special condition. Usually, one uses free hypermultiplet and…

High Energy Physics - Theory · Physics 2023-05-17 Bohan Li , Dan Xie , WenBin Yan

We consider the problem of computing N=2 superconformal block functions. We argue that the Kazama-Suzuki coset realization of N=2 superconformal algebra in terms of the affine sl(2) algebra provides relations between N=2 and affine sl(2)…

High Energy Physics - Theory · Physics 2015-06-11 V. Belavin

We obtain retarded Green's functions for massless scalar fields in the background of near-extreme, near-horizon rotating charged black holes of five-dimensional minimal gauged supergravity. The radial part of the (separable) massless…

High Energy Physics - Theory · Physics 2011-08-12 Tolga Birkandan , Mirjam Cvetič

We study the relation between the large Nc limit of four dimensional N=2,1,0 conformal field theories and supergravity on orbifolds of AdS_5xS^5. We analyze the Kaluza-Klein states of the supergravity theory and relate them to the spectrum…

High Energy Physics - Theory · Physics 2009-09-29 Yaron Oz , John Terning

Black hole microstates and their approximate thermodynamic properties can be studied using heavy-light correlation functions in AdS/CFT. Universal features of these correlators can be extracted from the Virasoro conformal blocks in CFT2,…

High Energy Physics - Theory · Physics 2016-04-08 A. Liam Fitzpatrick , Jared Kaplan

It is known that the classical limit of the second order BPZ null vector decoupling equation for the simplest two 5-point degenerate spherical conformal blocks yields: (i) the normal form of the Heun equation with the complex accessory…

High Energy Physics - Theory · Physics 2018-05-08 Marcin Piatek , Artur R. Pietrykowski

We find a large class of two-dimensional $\mathcal{N}=(0,2)$ SCFTs obtained by compactifying four-dimensional $\mathcal{N}=1$ quiver gauge theories on a Riemann surface. We study these theories using anomalies and $c$-extremization. The…

High Energy Physics - Theory · Physics 2016-11-07 Francesco Benini , Nikolay Bobev , P. Marcos Crichigno

We carry out a detailed superspace analysis of the OPE of two N=2 stress-tensor multiplets. Knowledge of the multiplets appearing in the expansion, together with the two-dimensional chiral algebra description of N=2 SCFTs, imply an analytic…

High Energy Physics - Theory · Physics 2016-03-16 Pedro Liendo , Israel Ramirez , Jihye Seo

We show that the correlator of three large charge operators with minimal scaling dimension can be computed semiclassically in CFTs with a $U(1)$ symmetry for arbitrary fixed values of the ratios of their charges. We obtain explicitly the…

High Energy Physics - Theory · Physics 2021-04-21 Gabriel Cuomo

Sigma models on coset superspaces, such as odd dimensional superspheres, play an important role in physics and in particular the AdS/CFT correspondence. In this work we apply recent general results on the spectrum of coset space models and…

High Energy Physics - Theory · Physics 2015-06-22 Alessandra Cagnazzo , Volker Schomerus , Vaclav Tlapak

We discuss two different nonlinear generalizations of the osp(2|2) supersymmetry which arise in superconformal mechanics and fermion-monopole models.

High Energy Physics - Theory · Physics 2007-05-23 Mikhail Plyushchay

Coulomb branches of vacua are the most universal moduli spaces that arise in local unitary interacting 4d $\mathcal{N}=2$ superconformal field theories (SCFTs). In these theories, $1/2$-BPS primaries parameterize the Coulomb branches and…

High Energy Physics - Theory · Physics 2024-06-06 Matthew Buican

New examples of N=2 supersymmetric conformal field theories are found as fixed points of SU(2) N=2 supersymmetric QCD. Relations among the scaling dimensions of their relevant chiral operators, global symmetries, and Higgs branches are…

High Energy Physics - Theory · Physics 2010-04-07 P. C. Argyres , M. R. Plesser , N. Seiberg , E. Witten

We set up the bootstrap procedure for supersymmetric Galilean Conformal (SGC) field theories in two dimensions by constructing the SGC blocks in the $\mathcal{N}=1$ and two possible $\mathcal{N} =2$ extensions of the Galilean conformal…

High Energy Physics - Theory · Physics 2018-09-25 Ivano Lodato , Wout Merbis , Zodinmawia

Using the shadow formalism we find global conformal blocks of torus CFT$_2$. It is shown that $n$-point torus blocks in the ``necklace'' channel (a loop with $n$ legs) are expressed in terms of a hypergeometric-type function which we refer…

High Energy Physics - Theory · Physics 2023-07-25 K. B. Alkalaev , Semyon Mandrygin