Central Charges of 2d Superconformal Defects
| العنوان: | Central Charges of 2d Superconformal Defects |
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| المؤلفون: | Brandon Robinson, Andy O'Bannon, Adam Chalabi, Jacopo Sisti |
| المصدر: | Journal of High Energy Physics Journal of High Energy Physics, Vol 2020, Iss 5, Pp 1-52 (2020) |
| بيانات النشر: | arXiv, 2020. |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | High Energy Physics - Theory, ANOMALIES, Nuclear and High Energy Physics, FOS: Physical sciences, Conformal map, AdS-CFT Correspondence, 01 natural sciences, Physics, Particles & Fields, Supersymmetric Gauge Theory, High Energy Physics::Theory, 0103 physical sciences, lcsh:Nuclear and particle physics. Atomic energy. Radioactivity, 010306 general physics, Mathematical physics, Physics, Science & Technology, Conformal Field Theory, C-THEOREM, 010308 nuclear & particles physics, Conformal field theory, Supersymmetry, Partition function (mathematics), Coupling (probability), AdS/CFT correspondence, High Energy Physics - Theory (hep-th), Supersymmetric gauge theory, ENTANGLEMENT ENTROPY, Physical Sciences, GAUGE-THEORIES, lcsh:QC770-798, Supersymmetry and Duality, Anomaly (physics) |
| الوصف: | In conformal field theories (CFTs) of dimension $d>3$, two-dimensional (2d) conformal defects are characterised in part by central charges defined via the defect's contribution to the trace anomaly. However, in general for interacting CFTs these central charges are difficult to calculate. For superconformal 2d defects in supersymmetric (SUSY) CFTs (SCFTs), we show how to compute these defect central charges from the SUSY partition function either on $S^d$ with defect along $S^2$, or on $S^1 \times S^{d-1}$ with defect along $S^1 \times S^1$. In the latter case we propose that defect central charges appear in an overall normalisation factor, as part of the SUSY Casimir energy. For 2d half-BPS defects in 4d ${\mathcal N}=2$ SCFTs and in the 6d ${\mathcal N}=(2,0)$ SCFT we obtain novel, exact results for defect central charges using existing results for partition functions computed using SUSY localisation, SUSY indices, and correspondences to 2d Liouville, Toda, and $q$-deformed Yang-Mills theories. Some of our results for defect central charges agree with those obtained previously via holography, showing that the latter are not just large-$N$ and/or strong-coupling limits, but are exact. Our methods can be straightforwardly extended to other superconformal defects, of various codimension, as we demonstrate for a 4d defect in the 6d ${\mathcal N}=(2,0)$ SCFT. 40 pages + 2 appendices, 2 PDF figures; v2 minor clarifications, added references, version published in JHEP |
| وصف الملف: | text |
| DOI: | 10.48550/arxiv.2003.02857 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fca0a3fd31dccc1ec200c1a9c0542fec |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....fca0a3fd31dccc1ec200c1a9c0542fec |
| قاعدة البيانات: | OpenAIRE |
| DOI: | 10.48550/arxiv.2003.02857 |
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