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We use holography and four-dimensional $\,\mathcal{N}=4\,$ gauged supergravity to collect evidence for a large class of interconnected three-dimensional $\,\mathcal{N}=2\,$ conformal field theories. On the gravity side, we construct a…

高能物理 - 理论 · 物理学 2023-09-12 Miguel Chamorro-Burgos , Adolfo Guarino , Colin Sterckx

We calculate the superconformal indices of recently discovered three-dimensional N=4,5 Chern-Simons-matter theories and compare them with the corresponding indices of supergravity on AdS4 times orbifolds of S7. We find perfect agreement in…

高能物理 - 理论 · 物理学 2009-03-31 Jaehyung Choi , Sangmin Lee , Jaewon Song

An outstanding question lying at the core of the AdS/CFT correspondence in string theory is the holographic prescription problem for Einstein metrics, which asserts that one can slightly perturb the conformal geometry at infinity of the…

广义相对论与量子宇宙学 · 物理学 2015-12-09 Alberto Enciso , Niky Kamran

We observe that every self-dual ternary code determines a holomorphic N=1 superconformal field theory. This provides ternary constructions of some well-known holomorphic N=1 SCFTs, including Duncan's "supermoonshine" model and the fermionic…

高能物理 - 理论 · 物理学 2021-01-20 Davide Gaiotto , Theo Johnson-Freyd

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…

高能物理 - 理论 · 物理学 2023-05-17 Bohan Li , Dan Xie , WenBin Yan

We combine supersymmetric localization and the conformal bootstrap to study five-dimensional superconformal field theories. To begin, we classify the admissible counter-terms and derive a general relation between the five-sphere partition…

高能物理 - 理论 · 物理学 2018-03-28 Chi-Ming Chang , Martin Fluder , Ying-Hsuan Lin , Yifan Wang

Using recent results in four-derivative 5d $\mathcal{N}=2$ minimal gauged supergravity, we evaluate the regularized on-shell action of the Euclidean solution in this theory that admits a Lorentzian continuation to an AdS$_5$ black hole with…

高能物理 - 理论 · 物理学 2023-01-04 Nikolay Bobev , Vasil Dimitrov , Valentin Reys , Annelien Vekemans

The problem of finding a holographic CFT dual to string theory on AdS(3)xS(3)xS(3)xS(1) is examined in depth. This background supports a large N=4 superconformal symmetry. While in some respects similar to the familiar small N=4 systems on…

高能物理 - 理论 · 物理学 2016-11-23 Sergei Gukov , Emil Martinec , Gregory Moore , Andrew Strominger

We prove a holographic c-theorem for the a central charge in AdS/CFT where the bulk is described by a gravitational action built out of an arbitrary function f(R^{ab}_{cd}) of the Riemann tensor coupled to bulk matter. This theorem holds…

高能物理 - 理论 · 物理学 2011-08-29 James T. Liu , Zhichen Zhao

In this long overdue second installment, we continue to develop the conformal bootstrap program for ${\mathcal N}=4$ superconformal field theories in four dimensions via an analysis of the correlation function of four stress-tensor…

高能物理 - 理论 · 物理学 2019-07-24 Christopher Beem , Leonardo Rastelli , Balt C. van Rees

We construct Z_M, M= 2, 3, 4, 6 orbifold models of the N=2 superconformal field theories with central charge c=3. Then we check the description of the Z_3, Z_4 and Z_6 orbifolds by the N=2 superconformal Landau-Ginzburg models with c=3, by…

高能物理 - 理论 · 物理学 2008-11-26 Sayipjamal Dulat

We find the warped AdS_4 x K type-IIB supergravity solutions holographically dual to a large family of three dimensional \cN=4 superconformal field theories labeled by a pair (\rho,\hat\rho) of partitions of N. These superconformal theories…

高能物理 - 理论 · 物理学 2015-05-28 Benjamin Assel , Costas Bachas , John Estes , Jaume Gomis

In this letter we describe an infinite family of new N=1 AdS_5/CFT_4 dual pairs which arise from M5-branes wrapping Riemann surfaces in Calabi-Yau threefolds. We use the relevant brane constructions to compute the central charges of the…

高能物理 - 理论 · 物理学 2012-06-15 Ibrahima Bah , Christopher Beem , Nikolay Bobev , Brian Wecht

We consider supersymmetric AdS$_3 \times Y_7$ and AdS$_2 \times Y_9$ solutions of type IIB and $D=11$ supergravity, respectively, that are holographically dual to SCFTs with $(0,2)$ supersymmetry in two dimensions and $\mathcal{N}=2$…

高能物理 - 理论 · 物理学 2019-02-20 Christopher Couzens , Jerome P. Gauntlett , Dario Martelli , James Sparks

We discover a four-dimensional $\mathcal{N}=1$ supersymmetric field theory that is dual to the $\mathcal{N}=4$ super Yang-Mills theory with gauge group $SU(2n+1)$ for each $n$. The dual theory is constructed through the diagonal gauging of…

高能物理 - 理论 · 物理学 2023-06-13 Monica Jinwoo Kang , Craig Lawrie , Ki-Hong Lee , Jaewon Song

We use holography to compute the large-$N$ effective field theory along the moduli space of vacua of an infinite class of three-dimensional $\mathcal{N}=2$ SCFTs admitting a dual M-theory description. We focus in particular on toric models…

高能物理 - 理论 · 物理学 2022-11-09 Stefano Cremonesi , Stefano Lanza , Luca Martucci

Recently an infinite family of explicit Sasaki-Einstein metrics Y^{p,q} on S^2 x S^3 has been discovered, where p and q are two coprime positive integers, with q<p. These give rise to a corresponding family of Calabi-Yau cones, which…

高能物理 - 理论 · 物理学 2009-11-10 Dario Martelli , James Sparks

There is no known model in holography exhibiting a $c$-theorem where the central charges of the dual CFT are distinct. We examine a holographic model of RG flows in a framework where the bulk gravity theory contains higher curvature terms.…

高能物理 - 理论 · 物理学 2011-02-04 Robert C. Myers , Aninda Sinha

A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from AdS/CFT correspondence. We argue that the entanglement entropy in d+1 dimensional conformal field theories can be obtained from the…

高能物理 - 理论 · 物理学 2014-11-18 Shinsei Ryu , Tadashi Takayanagi

We present a trace formula for an index over the spectrum of four dimensional superconformal field theories on $S^3 \times $ time. Our index receives contributions from states invariant under at least one supercharge and captures all…

高能物理 - 理论 · 物理学 2017-09-07 Justin Kinney , Juan Maldacena , Shiraz Minwalla , Suvrat Raju