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We review recent developments in the study of the AdS/CFT correspondence in lower dimensions. We start summarising the classification of AdS$_3\times$S$^2$ solutions in massive Type IIA supergravity with (0,4) supersymmetries, and the…

High Energy Physics - Theory · Physics 2021-06-30 Yolanda Lozano , Anayeli Ramirez

We study mass deformations of certain three dimensional $\mathcal{N}=4$ Superconformal Field Theories (SCFTs) that have come to be called $T^\rho[G]$ theories. These are associated to tame defects of the six dimensional $(0,2)$ SCFT…

High Energy Physics - Theory · Physics 2023-10-11 Aswin Balasubramanian , Jacques Distler

We study a sector of the 5d maximally supersymmetric Yang-Mills theory on $S^5$ consisting of $1/8$-BPS Wilson loop operators contained within a great $S^3$ inside $S^5$. We conjecture that these observables are described by a 3d Chern…

High Energy Physics - Theory · Physics 2019-10-02 Márk Mezei , Silviu S. Pufu , Yifan Wang

Canonical threefold singularities in M-theory and Type IIB string theory give rise to superconformal field theories (SCFTs) in 5d and 4d, respectively. In this paper, we study canonical hypersurface singularities whose resolutions contain…

High Energy Physics - Theory · Physics 2021-06-02 Cyril Closset , Simone Giacomelli , Sakura Schafer-Nameki , Yi-Nan Wang

By identifying a bosonic consistent truncation from the 1/4-BPS wrapped M5-brane geometry of Maldacena, Strominger and Witten in D = 11 supergravity and finding a supersymmetric extension, we recover an N = 2 D = 3 supergravity theory.…

High Energy Physics - Theory · Physics 2015-03-17 Eoin Ó Colgáin , Henning Samtleben

We construct several examples of (2+1) dimensional N=2 supersymmetric Chern-Simons theories, whose moduli space is given by non-compact toric Calabi-Yau four-folds, which are not derivable from any (3+1) dimensional CFT. One such example is…

High Energy Physics - Theory · Physics 2009-01-09 Sebastian Franco , Amihay Hanany , Jaemo Park , Diego Rodriguez-Gomez

We propose Swampland constraints on consistent 5-dimensional ${\cal N}=1$ supergravity theories. We focus on a special class of BPS magnetic monopole strings which arise in gravitational theories. The central charges and the levels of…

High Energy Physics - Theory · Physics 2020-08-26 Sheldon Katz , Hee-Cheol Kim , Houri-Christina Tarazi , Cumrun Vafa

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…

High Energy Physics - Theory · Physics 2012-06-15 Ibrahima Bah , Christopher Beem , Nikolay Bobev , Brian Wecht

We study two-dimensional (4,4) superconformal field theories of central charge c=6, corresponding to nonlinear sigma models on K3 surfaces, using the superconformal bootstrap. This is made possible through a surprising relation between the…

High Energy Physics - Theory · Physics 2015-11-13 Ying-Hsuan Lin , Shu-Heng Shao , David Simmons-Duffin , Yifan Wang , Xi Yin

We construct 4d $\mathcal{N}=1$ quantum field theories by compactifying the (2,0) theories on a Riemann surface with genus $g$ and $n$ punctures, where the normal bundle decomposes into a sum of two line bundles with possibly negative…

High Energy Physics - Theory · Physics 2018-03-06 Emily Nardoni

We study 5d N=2 maximally supersymmetric Yang-Mills theory with a gauge group G on S^2 x M_3, where M_3 is a 3-manifold. By explicit localization computation we show that the path-integral of the 5d N=2 theory reduces to that of the 3d G_C…

High Energy Physics - Theory · Physics 2014-07-02 Sungjay Lee , Masahito Yamazaki

These notes provide a detailed account of the universal structure of superpotentials defining a large class of superconformal Chern-Simons theories with matter, many of which appear as the low-energy descriptions of multiple M2-brane…

High Energy Physics - Theory · Physics 2009-11-18 Paul de Medeiros , José Figueroa-O'Farrill , Elena Méndez-Escobar

We study N=1 superconformal theories in four dimensions obtained wrapping M5 branes on a Riemann surface. We propose a method to determine from the spectral curve the scaling dimension of chiral operators in the SCFT. Whenever the…

High Energy Physics - Theory · Physics 2015-06-22 Simone Giacomelli

Compactifications of 6D superconformal field theories (SCFTs) on four-manifolds generate a large class of novel 2d quantum field theories. We consider in detail the case of the rank one simple non-Higgsable cluster 6D SCFTs. On the tensor…

High Energy Physics - Theory · Physics 2017-09-20 Fabio Apruzzi , Falk Hassler , Jonathan J. Heckman , Ilarion V. Melnikov

Building on recent progress in the study of compactifications of $6d$ $(1,0)$ superconformal field theories (SCFTs) on Riemann surfaces to $4d$ $\mathcal{N}=1$ theories, we initiate a systematic study of compactifications of $5d$…

High Energy Physics - Theory · Physics 2021-10-11 Matteo Sacchi , Orr Sela , Gabi Zafrir

We use the conformal bootstrap to perform a precision study of 3d maximally supersymmetric ($\mathcal{N}=8$) SCFTs that describe the IR physics on $N$ coincident M2-branes placed either in flat space or at a $\C^4/\Z_2$ singularity. First,…

High Energy Physics - Theory · Physics 2018-08-01 Nathan B. Agmon , Shai M. Chester , Silviu S. Pufu

We propose bulk 3D N=4 rank-0 superconformal field theories, which are related to 2D N=1 supersymmetric minimal models, SM(2, ...) and SM(3, ...), via recently discovered non-unitary bulk-boundary correspondence. The correspondence relates…

High Energy Physics - Theory · Physics 2024-06-04 Seungjoo Baek , Dongmin Gang

We determine 5d $\mathcal{N}=1$ SCFTs originating from 6d $(E_n,E_m)$ conformal matter theories with $n\neq m$ by circle reduction and mass deformations. The marginal geometries are constructed and we derive their combined fiber diagrams…

High Energy Physics - Theory · Physics 2020-12-30 Max Hubner

We conjecture a topology changing transition in M-theory on a non-compact asymptotically conical Spin(7) manifold, where a 5-sphere collapses and a CP(2) bolt grows. We argue that the transition may be understood as the condensation of…

High Energy Physics - Theory · Physics 2014-11-18 Sergei Gukov , James Sparks , David Tong

We study the 't Hooft anomalies of four-dimensional superconformal field theories that arise from M5-branes wrapped on a punctured Riemann surface. In general there are two independent contributions to the anomalies. There is a bulk term…

High Energy Physics - Theory · Physics 2019-03-27 Ibrahima Bah , Emily Nardoni