Allowed Coulomb branch scaling dimensions of four-dimensional $$ \mathcal{N} $$ = 2 SCFTs

A bstract A basic datum of a rank- r $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> =2 superconformal field theory (SCFT) is the r -tuple of its Coulomb branch scaling dimensions, i.e., the scaling dimensions of a set of special protected scalar operators whose vevs generate the coordinate ring of the Coulomb branch of the theory. It is well known that when the coordinate ring is freely generated these scaling dimensions can only take values in a small set of rational numbers. But there are further constraints on which r -tuples of these numbers can appear. The main aim of this work is to clarify what these are. Along the way we also compute explicitly the r -tuples of allowed scaling dimensions for theories of ranks r = 2, 3, 4.

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Publication Details

Journal
Journal of High Energy Physics
Published
2025-09-12
DOI
https://doi.org/10.1007/jhep09(2025)107
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
0.00

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article

Allowed Coulomb branch scaling dimensions of four-dimensional $$ \mathcal{N} $$ = 2 SCFTs

Robert Moscrop, Sergio Cecotti, Mario Martone, Michele Del Zotto et al.
Journal of High Energy Physics
Black Holes and Theoretical Physics
article

Allowed Coulomb branch scaling dimensions of four-dimensional $$ \mathcal{N} $$ = 2 SCFTs

Robert Moscrop, Sergio Cecotti, Mario Martone, Michele Del Zotto, Ben Smith, Philip C. Argyres
article en

Abstract

A bstract A basic datum of a rank- r $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> =2 superconformal field theory (SCFT) is the r -tuple of its Coulomb branch scaling dimensions, i.e., the scaling dimensions of a set of special protected scalar operators whose vevs generate the coordinate ring of the Coulomb branch of the theory. It is well known that when the coordinate ring is freely generated these scaling dimensions can only take values in a small set of rational numbers. But there are further constraints on which r -tuples of these numbers can appear. The main aim of this work is to clarify what these are. Along the way we also compute explicitly the r -tuples of allowed scaling dimensions for theories of ranks r = 2, 3, 4.

Journal of High Energy PhysicsVol. 2025(9)
Uppsala University (SE), Harvard University (US), Scuola Internazionale Superiore di Studi Avanzati (IT), King's College London (GB), Harvard University Press (US), ELI-HU Research and Development Non-Profit (HU), King's College School (GB), Institute of Mathematical Sciences (ES), Beijing Institute of Mathematical Sciences and Applications, University of Cincinnati (US), Mathematical Sciences Research Institute (US), Tsinghua University (CN)
U.S. Department of Energy, European Commission, Knut och Alice Wallenbergs Stiftelse, Science and Technology Facilities Council
Openalex Percentile: Top 88%
Black Holes and Theoretical Physics
DOIOpen Access PDFOpenAlex
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Allowed Coulomb branch scaling dimensions of four-dimensional $ \mathcal{N} $ = 2 SCFTs — Robert Moscrop, Sergio Cecotti, et al. · Journal of High Energy Physics (2025) | TGRS Research Map | TGRS