Abstract
We calculate the trace and axial anomalies of \( \mathcal{N} \) = (2, 2) superconformal theories with exactly marginal deformations, on a surface with boundary. Extending recent work by Gomis et al, we derive the boundary contribution that captures the anomalous scale dependence of the one-point functions of exactly marginal operators. Integration of the bulk super-Weyl anomaly shows that the sphere partition function computes the Kähler potential \( K\left(\lambda, \overline{\lambda}\right) \) on the superconformal manifold. Likewise, our results confirm the conjecture that the partition function on the supersymmetric hemisphere computes the holomorphic central charge, c Ω(λ), associated with the boundary condition Ω. The boundary entropy, given by a ratio of hemispheres and sphere, is therefore fully determined by anomalies.
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ArXiv ePrint: 1612.06386
Dedicated to the memory of Ioannis Bakas.
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Bachas, C., Plencner, D. Boundary Weyl anomaly of \( \mathcal{N} \) = (2, 2) superconformal models. J. High Energ. Phys. 2017, 34 (2017). https://doi.org/10.1007/JHEP03(2017)034
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DOI: https://doi.org/10.1007/JHEP03(2017)034