nLab
SCFT

Context

Quantum field theory

Contents

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  • FQFT and

Physics

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Surveys, textbooks and lecture notes

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    • Axiomatizations

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        • -theorem

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    • Structural phenomena

    • Types of quantum field thories

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Super-Geometry

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Background

Introductions

Superalgebra

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Supergeometry

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Supersymmetry

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Supersymmetric field theory

Applications

Contents

Idea

CFT with supersymmetry, i.e. with superconformal symmetry

ddNN

via
A3A\phantom{A}3\phantom{A}A2k+1A\phantom{A}2k+1\phantom{A}AB(k,2)\phantom{A}B(k,2) \simeq (2k+1/4)A(2k+1/4)\phantom{A}ASO(2k+1)A\phantom{A}SO(2k+1)\phantom{A}
A3A\phantom{A}3\phantom{A}A2kA\phantom{A}2k\phantom{A}AD(k,2)\phantom{A}D(k,2)\simeq (2k/4)A(2k/4)\phantom{A}ASO(2k)A\phantom{A}SO(2k)\phantom{A}
A4A\phantom{A}4\phantom{A}Ak+1A\phantom{A}k+1\phantom{A}AA(3,k)𝔰𝔩(4/k+1)A\phantom{A}A(3,k)\simeq \mathfrak{sl}(4/k+1)\phantom{A}AU(k+1)A\phantom{A}U(k+1)\phantom{A}
A5A\phantom{A}5\phantom{A}A1A\phantom{A}1\phantom{A}AF(4)A\phantom{A}F(4)\phantom{A}ASO(3)A\phantom{A}SO(3)\phantom{A}
A6A\phantom{A}6\phantom{A}AkA\phantom{A}k\phantom{A}AD(4,k)\phantom{A}D(4,k) \simeq (8/2k)A(8/2k)\phantom{A}ASp(k)A\phantom{A}Sp(k)\phantom{A}

(Shnider 88, also Nahm 78, see Minwalla 98, section 4.2)

Examples

d=2d = 2

d=3d = 3

d=4d = 4

d=6d = 6

Applications

References

Classification

Last revised on April 25, 2018 at 10:53:36. See the history of this page for a list of all contributions to it.