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arxiv 1211.4030 v2 pith:7KRM4SKV submitted 2012-11-16 hep-th

Exact two-dimensional superconformal R-symmetry and c-extremization

classification hep-th
keywords superconformalc-extremizationexactr-symmetrytwo-dimensionalcompactificationsconstructdetermines
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We uncover a general principle, dubbed c-extremization, which determines the exact R-symmetry of a two-dimensional unitary superconformal field theory with N=(0,2) supersymmetry. To illustrate its utility, we study superconformal theories obtained by twisted compactifications of four-dimensional N=4 super-Yang-Mills on Riemann surfaces, and construct their gravity duals.

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Cited by 3 Pith papers

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    Local CFTs lie at the extrema of the sphere free energy tilde F for nonlocal CFT lines, and maximize it when unitary.

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    Classification of supersymmetric AdS3 solutions in 7d supergravity yielding M5-brane wrappings on WCP2 and spindle fibrations, with central charges matched via holography and c-extremization.

  3. A Crash Course in Supersymmetric Field Theory Across Dimensions

    hep-th 2026-07 unverdicted novelty 2.0

    Pedagogical crash-course notes on supersymmetric field theory across 2–10 dimensions, organized around recurring structures such as holomorphy, dualities, indices, BPS data, and anomalies.