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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

Discrete global symmetries of 4d $\mathcal{N}=2$ SCFTs are studied via two operations: gauging and twisted compactification. We consider gauging of discrete symmetries in several well-known 4d $\mathcal{N}=2$ SCFTs, including…

High Energy Physics - Theory · Physics 2024-05-22 Simone Giacomelli , William Harding , Noppadol Mekareeya , Alessandro Mininno

We compute the partition function for 6d $\mathcal{N}=1$ $SO(2N)$ gauge theories compactified on a circle with $\mathbb{Z}_2$ outer automorphism twist. We perform the computation based on 5-brane webs with two O5-planes using topological…

High Energy Physics - Theory · Physics 2023-02-28 Hee-Cheol Kim , Minsung Kim , Sung-Soo Kim

M5-branes probing an ADE singularity lead to 6D SCFTs with (1,0) supersymmetry. On the tensor branch, the M5-branes specify domain walls of a 7D Super Yang-Mills theory with gauge group G of ADE-type, thus providing conformal matter for a…

High Energy Physics - Theory · Physics 2020-07-16 Jonathan J. Heckman

We study how to couple a 6D superconformal field theory (SCFT) to gravity. In F-theory, the models in question are obtained working on the supersymmetric background R^{5,1} x B where B is the base of a compact elliptically fibered…

High Energy Physics - Theory · Physics 2014-12-23 Michele Del Zotto , Jonathan J. Heckman , David R. Morrison , Daniel S. Park

In this review we discuss hidden symmetries of toroidal compactifications of eleven-dimensional supergravity. We recall alternative versions of this theory which exhibit traces of the hidden symmetries when still retaining the massive…

High Energy Physics - Theory · Physics 2010-11-19 Bernard de Wit , Hermann Nicolai

We point out that the matrix description of M-theory compactified on Calabi-Yau threefolds is in many respects simpler than the matrix description of a $T^6$ compactification. This is largely because of the differences between D6 branes…

High Energy Physics - Theory · Physics 2009-10-07 S. Kachru , A. Lawrence , E. Silverstein

We show that all 5d balanced (ADE-shaped) special unitary quivers with no Chern-Simons level admit a UV completion which is a 5d conformal matter SCFT. We give explicit local Calabi-Yau threefolds realizing each of these models in M-theory.…

High Energy Physics - Theory · Physics 2026-05-06 Antoine Bourget , Mario De Marco , Michele Del Zotto , Julius F. Grimminger , Andrea Sangiovanni

We consider the compactification of the 6d N=(2,0) theories, or equivalently of M-theory 5-branes, on a punctured Riemann surface times a circle. This gives rise to what we call 3d N=4 Sicilian theories, and we find that their mirror…

High Energy Physics - Theory · Physics 2011-07-19 Francesco Benini , Yuji Tachikawa , Dan Xie

With the aim of better understanding the class of 4D theories generated by compactifications of 6D superconformal field theories (SCFTs), we study the structure of N = 1 supersymmetric punctures for class S_Gamma theories, namely the 6D…

High Energy Physics - Theory · Physics 2018-08-29 Falk Hassler , Jonathan J. Heckman

The trinions $T_N$ are a class of 5d $\mathcal{N}=1$ superconformal field theories (SCFTs) realized as M-theory on $\mathbb{C}^3/\mathbb{Z}_N \times \mathbb{Z}_N$. We apply to $T_N$, as well as closely-related SCFTs that are obtained by…

High Energy Physics - Theory · Physics 2020-08-26 Julius Eckhard , Sakura Schafer-Nameki , Yi-Nan Wang

We use the F-theory realization of 6D superconformal field theories (SCFTs) to study the corresponding spectrum of stringlike, i.e. surface defects. On the tensor branch, all of the stringlike excitations pick up a finite tension, and there…

High Energy Physics - Theory · Physics 2016-05-25 Michele Del Zotto , Jonathan J. Heckman , Daniel S. Park , Tom Rudelius

There exist 4d $\mathcal{N}=2$ SCFTs in class $\mathcal{S}$ which have different constructions as punctured Riemann surfaces, but which nevertheless appear to describe the same physics. Some of these class $\mathcal{S}$ theories have an…

High Energy Physics - Theory · Physics 2023-05-17 Jacques Distler , Grant Elliot , Monica Jinwoo Kang , Craig Lawrie

We explore BPS quivers for D=5 theories, compactified on a circle and geometrically engineered over local Calabi-Yau 3-folds, for which many of known machineries leading to (refined) indices fail due to the fine-tuning of the…

High Energy Physics - Theory · Physics 2021-03-17 Zhihao Duan , Dongwook Ghim , Piljin Yi

In this set of five lectures we present a basic toolbox to discuss the dynamics of four dimensional supersymmetric quantum field theories. In particular we overview the program of geometrically engineering the four dimensional…

High Energy Physics - Theory · Physics 2024-03-01 Shlomo S. Razamat , Evyatar Sabag , Orr Sela , Gabi Zafrir

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 circle compactifications of 6d superconformal field theories giving rise to 5d rank 1 and rank 2 Kaluza-Klein theories. We realise the resulting theories as M-theory compactifications on local Calabi-Yau 3-folds and match the…

High Energy Physics - Theory · Physics 2021-06-04 Andreas P. Braun , Jin Chen , Babak Haghighat , Marcus Sperling , Shuhang Yang

We study the 7D Symmetry Topological Field Theory (SymTFT) associated to a 6D SCFT from the IIB/F-theory geometric engineering approach. The 6D (2,0) or (1,0) SCFT is constructed from IIB on a non-compact complex surface possibly with…

High Energy Physics - Theory · Physics 2025-01-17 Jiahua Tian , Yi-Nan Wang

In this work we study particular TQFTs in three dimensions, known as Symmetry Topological Field Theories (or SymTFTs), to identify line defects of two-dimensional CFTs arising from the compactification of 6d $(2,0)$ SCFTs on 4-manifolds…

High Energy Physics - Theory · Physics 2024-08-26 Jin Chen , Wei Cui , Babak Haghighat , Yi-Nan Wang

We study M-theory compactified on a specific class of seven-dimensional manifolds with SU(3) structure. The manifolds can be viewed as a fibration of an arbitrary Calabi-Yau threefold over a circle, with a U-duality twist around the circle.…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Micha Berkooz , Jan Louis , Andrei Micu
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