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.
Two-dimensional SCFTs from wrapped branes and c-extremization
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abstract
We apply c-extremization, whose proof we review in full detail, to study two-dimensional N=(0,2) superconformal field theories arising from the low-energy dynamics of D3-branes wrapped on Riemann surfaces and M5-branes wrapped on four-manifolds. We compute the exact central charges of these theories using anomalies and c-extremization. In all cases we also construct AdS_3 supergravity solutions of type IIB and eleven-dimensional supergravity, which are holographic duals to the field theories at large N, and exactly reproduce the central charges computed via c-extremization.
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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.
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.
Computes boundary-to-boundary elliptic kernels via localization for 4d N=1 theories and proves rank-changing Seiberg dualities as Jeffrey-Kirwan residue identities.
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.
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Spindle solutions, hyperscalars and smooth uplifts
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.
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Local CFTs extremise $F$
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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M5 branes wrapping $\mathbb{WCP}^2$ and spindles fibred over constant curvature Riemann surfaces
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.
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Localization, Factorization and Dualities for Elliptic Kernels
Computes boundary-to-boundary elliptic kernels via localization for 4d N=1 theories and proves rank-changing Seiberg dualities as Jeffrey-Kirwan residue identities.
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Central Charges and Vacuum Moduli of 2d $\mathcal{N}=(0,4)$ Theories from Class $\mathcal{S}$
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.