New superconformal field theories in four dimensions and N=1 duality

Chaichian, M.; Chen, W.F.; Montonen, C.

doi:10.1016/s0370-1573(00)00101-0

Cited by 11 publications

(12 citation statements)

References 98 publications

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“…This proposal generated tremendous excitement, and soon many other candidate dualities have been found (see Refs. [7,8] for a review). Later it was realized that many field-theoretic dualities follow from string theory dualities.…”

Section: Introductionmentioning

confidence: 99%

Topological Disorder Operators in Three-Dimensional Conformal Field Theory

Borokhov

Kapustin

2002

J. High Energy Phys.

290

582

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Many abelian gauge theories in three dimensions flow to interacting conformal field theories in the infrared. We define a new class of local operators in these conformal field theories which are not polynomial in the fundamental fields and create topological disorder. They can be regarded as higher-dimensional analogues of twist and windingstate operators in free 2d CFTs. We call them monopole operators for reasons explained in the text. The importance of monopole operators is that in the Higgs phase, they create Abrikosov-Nielsen-Olesen vortices. We study properties of these operators in three-dimensional QED using large N f expansion. In particular, we show that monopole operators belong to representations of the conformal group whose primaries have dimension of order N f . We also show that monopole operators transform non-trivially under the flavor symmetry group, with the precise representation depending on the value of the Chern-Simons coupling.

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Section: Introductionmentioning

confidence: 99%

Topological Disorder Operators in Three-Dimensional Conformal Field Theory

Borokhov

Kapustin

2002

J. High Energy Phys.

290

582

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“…The existence of SCFTs in D = 4 [15][16][17][18][19] and other D have thus attracted considerable attention from the high energy theory community over the past few decades, and has grown into a mature sub-field; see e.g. [20][21][22][23] for some reviews and references. For superconformal theories, so(D, 2) is part of a superalgebra S whose fermionic supercharges are in the spinor representation.…”

Section: Background and Motivationmentioning

confidence: 99%

“…Many examples of 4D N = 1 SCFTs were found starting in the mid 1990s, via singularities of the moduli space, dualities and 't Hooft anomaly matching, and a variety of other methods, see e.g. [20,21,[449][450][451][452][453][454] and references therein. Additional checks of 4D N = 1 dualities and the SCFT operator spectrum comes from superconformal indices, see e.g.…”

Section: Extended Operators and Higher-form Symmetriesmentioning

confidence: 99%

Snowmass White Paper on SCFTs

Argyres¹,

Heckman²,

Intriligator³

et al. 2022

Preprint

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Superconformal field theories (SCFTs) occupy a central role in the study of many aspects of quantum field theory. In this white paper for the Snowmass process we give a brief overview of aspects of SCFTs in 3 ≤ D ≤ 6 space-time dimensions, including classification efforts and some of the vast current research trends on the physical and mathematical structures generated by this rich class of physical theories.

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“…Several puzzles emerge as soon as we put together the pieces of our previous discussion and frame it into a supersymmetric context (see [18,19] for an overview). When we come to analyze a super Yang-Mills theory, the trace anomaly, the gamma-trace of the supersymmetric current and the anomaly of the U (1) R current are part of the same anomaly supermultiplet (T µ µ , γ · s, ∂J 5 ) [20].…”

Section: The Superconformal Case and The Gauging To Gravitymentioning

confidence: 99%

Comments on anomaly cancellations by pole subtractions and ghost instabilities with gravity

Armillis¹,

Corianò²,

Rose³

et al. 2011

Class. Quantum Grav.

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We investigate some aspects of anomaly cancellation realized by the subtraction of an anomaly pole, stressing on some of its properties in superspace. In a local formulation these subtractions can be described in terms of a physical scalar, an axion and related ghosts. They appear to be necessary for the unitarization of the theory in the ultraviolet, but they may generate an infrared instability of the corresponding effective action, signalled by ghost condensation. In particular the subtraction of the superanomaly multiplet by a pole in superspace is of dubious significance, due to the different nature of the chiral and conformal anomalies. In turn, this may set more stringent constraints on the coupling of supersymmetric theories to gravity.

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New superconformal field theories in four dimensions and N=1 duality

Cited by 11 publications

References 98 publications

Topological Disorder Operators in Three-Dimensional Conformal Field Theory

Topological Disorder Operators in Three-Dimensional Conformal Field Theory

Snowmass White Paper on SCFTs

Comments on anomaly cancellations by pole subtractions and ghost instabilities with gravity

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