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Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory

7 Pith papers cite this work, alongside 658 external citations. Polarity classification is still indexing.

7 Pith papers citing it
658 external citations · Pith
abstract

We show that manifolds of fixed points, which are generated by exactly marginal operators, are common in N=1 supersymmetric gauge theory. We present a unified and simple prescription for identifying these operators, using tools similar to those employed in two-dimensional N=2 supersymmetry. In particular we rely on the work of Shifman and Vainshtein relating the $\bt$-function of the gauge coupling to the anomalous dimensions of the matter fields. Finite N=1 models, which have marginal operators at zero coupling, are easily identified using our approach. The method can also be employed to find manifolds of fixed points which do not include the free theory; these are seen in certain models with product gauge groups and in many non-renormalizable effective theories. For a number of our models, S-duality may have interesting implications. Using the fact that relevant perturbations often cause one manifold of fixed points to flow to another, we propose a specific mechanism through which the N=1 duality discovered by Seiberg could be associated with the duality of finite N=2 models.

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2026 5 2025 2

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representative citing papers

Spindle solutions, hyperscalars and smooth uplifts

hep-th · 2025-11-03 · unverdicted · novelty 7.0

New AdS3 x Y7 solutions in type IIB supergravity with spindle bases and hyperscalars dual to 2d N=(0,2) SCFTs, featuring non-coprime spindle integers and vanishing hyperscalars at poles for non-vanishing U(1)B flux.

Chaos of Berry curvature for BPS microstates

hep-th · 2026-04-25 · unverdicted · novelty 7.0

Berry curvature of BPS states is random-matrix-like for supersymmetric black hole microstates but non-random and often zero for horizonless geometries, offering a chaos diagnostic in degenerate sectors.

Controlled Chaos in 4D SCFTs

hep-th · 2026-06-22 · unverdicted · novelty 6.0

Orbifolds of N=4 SYM produce SCFTs whose dilatation operator in a subsector is realized by a tunable spin chain whose eigenvalue statistics exhibit chaos for specific marginal couplings.

citing papers explorer

Showing 7 of 7 citing papers.

  • Poly-vector deformations of heterotic supergravity solutions hep-th · 2025-11-30 · unverdicted · none · ref 52 · internal anchor

    Bi- and uni-vector deformations of heterotic supergravity solutions are constructed using gauged double field theory together with a generalized open/closed map.

  • Spindle solutions, hyperscalars and smooth uplifts hep-th · 2025-11-03 · unverdicted · none · ref 19 · internal anchor

    New AdS3 x Y7 solutions in type IIB supergravity with spindle bases and hyperscalars dual to 2d N=(0,2) SCFTs, featuring non-coprime spindle integers and vanishing hyperscalars at poles for non-vanishing U(1)B flux.

  • Chaos of Berry curvature for BPS microstates hep-th · 2026-04-25 · unverdicted · none · ref 149

    Berry curvature of BPS states is random-matrix-like for supersymmetric black hole microstates but non-random and often zero for horizonless geometries, offering a chaos diagnostic in degenerate sectors.

  • Controlled Chaos in 4D SCFTs hep-th · 2026-06-22 · unverdicted · none · ref 96 · internal anchor

    Orbifolds of N=4 SYM produce SCFTs whose dilatation operator in a subsector is realized by a tunable spin chain whose eigenvalue statistics exhibit chaos for specific marginal couplings.

  • Probing weak chaos in $\mathcal N=4$ super Yang-Mills and long-range spin chains hep-th · 2026-06-16 · unverdicted · none · ref 11 · internal anchor

    Finite-loop truncations of the planar dilatation operator in N=4 SYM exhibit GOE-like level statistics at large coupling for two- and four-loops (but not three), with eigenvector and Krylov diagnostics indicating weak integrability breaking and multifractality.

  • Emergence of conformal properties in Finite Grand Unified Theories via reduction of couplings hep-ph · 2026-05-06 · unverdicted · none · ref 49

    Finite SUSY GUTs with reduction of couplings exhibit conformal behavior and AMSB-like soft terms without tachyons when connected to a Weyl-invariant supergravity with no-scale Kähler potential.

  • A Crash Course in Supersymmetric Field Theory Across Dimensions hep-th · 2026-07-07 · unreviewed · ref 138 · internal anchor