Snowmass White Paper on SCFTs

Argyres, Philip C.; Heckman, Jonathan J.; Intriligator, Kenneth; Martone, Mario

doi:10.48550/arxiv.2202.07683

Cited by 12 publications

(20 citation statements)

References 499 publications

(593 reference statements)

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“…The cones of Acharya and Witten [12] describe the M-theory lift of two stacks of D6-branes wrapping distinct supersymmetric three-planes in R 6 and filling space-time. We distinguish the color and flavor stack which support N c and N f branes respectively.…”

Section: A G 2 Spaces For Sqcd-like Theoriesmentioning

confidence: 99%

0-Form, 1-Form and 2-Group Symmetries via Cutting and Gluing of Orbifolds

Cvetič¹,

Heckman²,

Hübner³

et al. 2022

Preprint

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Orbifold singularities of M-theory constitute the building blocks of a broad class of supersymmetric quantum field theories (SQFTs). In this paper we show how the local data of these geometries determines global data on the resulting higher symmetries of these systems. In particular, via a process of cutting and gluing, we show how local orbifold singularities encode the 0-form, 1-form and 2-group symmetries of the resulting SQFTs. Geometrically, this is obtained from the possible singularities which extend to the boundary of the non-compact geometry. The resulting category of boundary conditions then captures these symmetries, and is equivalently specified by the orbifold homology of the boundary geometry. We illustrate these general points in the context of a number of examples, including 5D superconformal field theories engineered via orbifold singularities, 5D gauge theories engineered via singular elliptically fibered Calabi-Yau threefolds, as well as 4D SQCD-like theories engineered via M-theory on non-compact G 2 spaces.

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Section: A G 2 Spaces For Sqcd-like Theoriesmentioning

confidence: 99%

0-Form, 1-Form and 2-Group Symmetries via Cutting and Gluing of Orbifolds

Cvetič¹,

Heckman²,

Hübner³

et al. 2022

Preprint

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“…18 This extends Polyakov's description [38], making the thermal circle there inessential [21]. 19 See [4] for a recent discussion of generalized symmetries through the lens of condensed matter physics.…”

Section: Higher Form Symmetriesmentioning

confidence: 66%

“…We will not specifically focus on these classes of theories here; they are covered in other Snowmass white papers (see e.g. [19,20]). Instead, we will survey other large classes of generalized symmetries that are not ruled out by the CM-theorem and that require neither conformal symmetry nor supersymmetry (though they do occur in conformal and supersymmetric theories).…”

Section: Introductionmentioning

confidence: 99%

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond

Córdova¹,

Dumitrescu²,

Intriligator³

et al. 2022

Preprint

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Symmetry plays a central role in quantum field theory. Recent developments include symmetries that act on defects and other subsystems, and symmetries that are categorical rather than group-like. These generalized notions of symmetry allow for new kinds of anomalies that constrain dynamics. We review some transformative instances of these novel aspects of symmetry in quantum field theory, and give a broad-brush overview of recent applications.

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“…All superconformal algebras have been classified and are restricted to dimensions d ≤ 6 (see refs. [38,39] for recent reviews).…”

Section: Discussionmentioning

confidence: 99%

Conformal field theory for particle physicists

Gillioz¹

2022

Preprint

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This is a set of introductory lecture notes on conformal field theory. Unlike most existing reviews on the subject, CFT is presented here from the perspective of a unitary quantum field theory in Minkowski space-time. It begins with a non-perturbative formulation of quantum field theory (Wightman axioms), and then gradually focuses on the implications of scale and special conformal symmetry, all the way to the modern conformal bootstrap. This approach includes topics often left out, such as subtleties of conformal transformations in Minkowski space-time, the construction of Wightman functions and time-ordered correlators both in position-and momentumspace, unitarity bounds derived from the spectral representation, and the appearance of UV and IR divergences. These notes were created for a graduate class on conformal field theory at the Institute for Theoretical Physics of the University of Bern, taught in the spring semester of 2022. They are aimed at physicists with a good basic knowledge of quantum field theory but without prior experience in conformal field theory.

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Snowmass White Paper on SCFTs

Cited by 12 publications

References 499 publications

0-Form, 1-Form and 2-Group Symmetries via Cutting and Gluing of Orbifolds

0-Form, 1-Form and 2-Group Symmetries via Cutting and Gluing of Orbifolds

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond

Conformal field theory for particle physicists

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