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On The Conformal Field Theory Of The Higgs Branch

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arxiv hep-th/9707093 v2 pith:6Y7RRFBY submitted 1997-07-11 hep-th

On The Conformal Field Theory Of The Higgs Branch

Edward Witten This is my paper
classification hep-th
keywords theorieshiggsbranchbranchesconformalfieldstringtheory
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study 1+1-dimensional theories of vector and hypermultiplets with (4,4) supersymmetry. Despite strong infrared fluctuations, these theories flow in general to distinct conformal field theories on the Coulomb and Higgs branches. In some cases there may be a quantum Higgs theory even when there is no classical Higgs branch. The Higgs branches of certain such theories provide a framework for a matrix model of Type IIA fivebranes and the associated exotic six-dimensional string theories. Proposals concerning the interactions of these string theories are evaluated.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The Large N Limit of Superconformal Field Theories and Supergravity

    hep-th 1997-11 unverdicted novelty 10.0

    The large N limit of superconformal field theories is dual to supergravity on Anti-de Sitter spacetimes.

  2. Wilson loop in AdS$_3 \times S^3 \times T^4$ from quantum M2 brane

    hep-th 2026-03 unverdicted novelty 6.0

    The 1-loop M2-brane partition function for the Wilson loop in AdS3 x S3 x T4 equals kappa over sqrt(2 pi) with no higher-genus string corrections.

  3. Wilson loop in AdS$_3 \times S^3 \times T^4$ from quantum M2 brane

    hep-th 2026-03 accept novelty 6.0

    The 1-loop M2-brane correction to the AdS2 imes S1 Wilson-loop partition function in AdS3 imes S3 imes T5 is exactly κ/√(2π) with no subleading 1/κ series.

  4. Central Charges and Vacuum Moduli of 2d $\mathcal{N}=(0,4)$ Theories from Class $\mathcal{S}$

    hep-th 2025-12 unverdicted novelty 5.0

    Proposes conjectural central charge formulas for 2d N=(0,4) theories from class S reductions and verifies agreement via Hilbert series on special and twisted Higgs branches for SU(2) cases.

  5. Bounds on Discrete Gauge Symmetries in Supergravity

    hep-th 2025-11 unverdicted novelty 5.0

    Upper bounds are placed on the order of enhanced discrete gauge symmetries in supersymmetric supergravity theories with 8 or more supercharges, with some bounds saturated by string theory examples.