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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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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.…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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.…

高能物理 - 理论 · 物理学 2009-09-29 Ofer Aharony , Micha Berkooz , Jan Louis , Andrei Micu