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We study 2+1 dimensional conformal field theories (CFTs) with a globally conserved U(1) charge, placed in a chemical potential which is periodically modulated along the spatial direction $x$ with zero average: $\mu(x) = V \cos(kx)$. The…

高能物理 - 理论 · 物理学 2014-01-29 Paul Chesler , Andrew Lucas , Subir Sachdev

Based on the observed behavior of the superconformal index in three-dimensional $\mathcal{N}=2$ theories, we propose a quantity that can be considered as an analogue of the "effective central charge." We discuss the general properties of…

高能物理 - 理论 · 物理学 2023-08-11 Sergei Gukov , Mrunmay Jagadale

In this paper we discuss the scattering S-matrix of non-critical N=2 string at tree level. First we consider the \hat{c}<1 string defined by combining the N=2 time-like linear dilaton SCFT with the N=2 Liouville theory. We compute three…

高能物理 - 理论 · 物理学 2009-11-11 Tadashi Takayanagi

We study a recently-found class of RG flows in four dimensions exhibiting enhancement of supersymmetry in the infrared, which provides a lagrangian description of several strongly-coupled N=2 SCFTs. The procedure involves starting from a…

高能物理 - 理论 · 物理学 2018-11-14 Simone Giacomelli

We construct classes of ${\cal N}=1$ superconformal theories elements of which are labeled by punctured Riemann surfaces. Degenerations of the surfaces correspond, in some cases, to weak coupling limits. Different classes are labeled by two…

高能物理 - 理论 · 物理学 2015-07-22 Davide Gaiotto , Shlomo S. Razamat

We study a class of four-dimensional N=1 superconformal field theories obtained from the six-dimensional (1,0) theory, on M5-branes on C^2/Z_k orbifold singularity, compactified on a Riemann surface. This produces various quiver gauge…

高能物理 - 理论 · 物理学 2016-01-27 Amihay Hanany , Kazunobu Maruyoshi

We study the conditions under which 4d $\mathcal{N}=2$ superconformal field theories (SCFTs) have multiplets housing operators that are chiral with respect to an $\mathcal{N}=1$ subalgebra. Our main focus is on the set of often-ignored and…

高能物理 - 理论 · 物理学 2023-07-20 Anindya Banerjee , Matthew Buican

In this paper we construct two infinite sets of self-adjoint commuting charges for a quite general CFT. They come out naturally by considering an infinite embedding chain of Lie algebras, an underlying structure that share all theories with…

高能物理 - 理论 · 物理学 2015-06-22 Pablo Diaz

We derive universal constraints on $(1+1)d$ rational conformal field theories (CFTs) that can arise as transitions between topological theories protected by a global symmetry. The deformation away from criticality to the trivially gapped…

高能物理 - 理论 · 物理学 2022-10-05 Clay Cordova , Diego García-Sepúlveda

We find new, local, non-supersymmetric conformal field theories obtained by relevant deformations of the N=4 super Yang Mills theory in the large $N$ limit. We contruct interpolating supergravity solutions that naturally represent the flow…

高能物理 - 理论 · 物理学 2010-02-03 L. Girardello , M. Petrini , M. Porrati , A. Zaffaroni

We study compactifications of an infinite family of four-dimensional $\mathcal{N}=1$ SCFTs on a Riemann surface in the presence of arbitrary background fluxes for global symmetries. The four-dimensional parent theories have holographic…

高能物理 - 理论 · 物理学 2020-04-22 Christopher Couzens , Huibert het Lam , Kilian Mayer

We conjecture a general formula for assigning R-charges and multiplicities for the chiral fields of all gauge theories living on branes at toric singularities. We check that the central charge and the dimensions of all the chiral fields…

高能物理 - 理论 · 物理学 2010-02-03 Agostino Butti , Alberto Zaffaroni

We discuss new solutions in massive Type IIA supergravity with AdS$_3\times$S$^2$ factors, preserving ${\cal N}=(0,4)$ SUSY. We propose a duality with a precise family of quivers that flow to ${\cal N}=(0,4)$ fixed points at low energies.…

高能物理 - 理论 · 物理学 2020-01-29 Yolanda Lozano , Niall T. Macpherson , Carlos Nunez , Anayeli Ramirez

AdS/CFT predicts a precise relation between the central charge a, the scaling dimensions of some operators in the CFT on D3-branes at conical singularities and the volumes of the horizon and of certain cycles in the supergravity dual. We…

高能物理 - 理论 · 物理学 2009-11-11 Agostino Butti , Alberto Zaffaroni

We review some aspects of the AdS supergravity description of RG flows. The case of a flow to an IR CFT can be rigorously studied within the framework of supergravity. Here we discuss various central charges of the conformal theory…

高能物理 - 理论 · 物理学 2009-09-25 M. Petrini , A. Zaffaroni

We study 4d SCFTs obtained by orientifold projections on necklace quivers with fractional branes. The models obtained by this procedure are $\mathcal{N}=1$ linear quivers with unitary, symplectic and orthogonal gauge groups, bifundamental…

高能物理 - 理论 · 物理学 2022-02-09 Antonio Amariti , Marco Fazzi , Simone Rota , Alessia Segati

We propose a two-parameter family of modular invariant partition functions of two-dimensional conformal field theories (CFTs) holographically dual to pure three-dimensional gravity in anti de Sitter space. Our two parameters control the…

高能物理 - 理论 · 物理学 2019-05-01 Nathan Benjamin , Ethan Dyer , A. Liam Fitzpatrick , Yuan Xin

Starting from a general $\mathcal{N} = 2$ SCFT, we study the network of $\mathcal{N} = 1$ SCFTs obtained from relevant deformations by nilpotent mass parameters. We also study the case of flipper field deformations where the mass parameters…

高能物理 - 理论 · 物理学 2019-06-05 Fabio Apruzzi , Falk Hassler , Jonathan J. Heckman , Thomas B. Rochais

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…

高能物理 - 理论 · 物理学 2020-06-24 Adam Chalabi , Andy O'Bannon , Brandon Robinson , Jacopo Sisti

Coincident M2 branes at a conical singularity are related to M theory on AdS_4 x X_7 for an appropriate 7 dimensional Sasaki-Einstein manifold X_7. For X_7=Q^{1,1,1}=(SU(2) x SU(2) x SU(2))/(U(1) x U(1)) which was found sometime ago, the…

高能物理 - 理论 · 物理学 2009-10-31 Changhyun Ahn