{"paper":{"title":"Dualities from higher-spin supergravity","arxiv_id":"1211.6748","primary_cat":"hep-th","submitted_at":"2012-11-28T21:00:17+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v1","sentences":[{"i":0,"p":0.89,"id":"s0","own":true,"role":"contribution","text":"We study the vacuum structure of spin-3 higher-spin supergravity in AdS_3 spacetime.","hedge":{"p":0.89,"label":"asserted"},"own_p":0.85,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.26,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.11,"limitation":0.0,"future_work":0.0,"contribution":0.89,"interpretation":0.0}},{"i":1,"p":0.49,"id":"s1","own":false,"role":"background","text":"The theory can be written as a Chern-Simons theory based on the Lie superalgebra sl(3|2).","hedge":{"p":0.85,"label":"asserted"},"own_p":0.28,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.43,"result":0.0,"background":0.49,"limitation":0.0,"future_work":0.0,"contribution":0.08,"interpretation":0.0}},{"i":2,"p":0.99,"id":"s2","own":true,"role":"result","text":"We find three distinct AdS_3 vacua, AdS^(1), AdS^(2) and AdS^(p), each corresponding to one embedding of the osp(1|2) subalgebra into the sl(3|2) algebra.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.11,"quantitative":true,"quantitative_p":0.92,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.0}},{"i":3,"p":0.9,"id":"s3","own":true,"role":"result","text":"We explicitly construct the RG flows from AdS^(1) to AdS^(p) and from AdS^(2) to AdS^(p), which identifies AdS^(p) as an IR vacuum and AdS^(1), AdS^(2) as two different UV vacua.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.21,"quantitative":true,"quantitative_p":0.66,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.9,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.08,"interpretation":0.02}},{"i":4,"p":0.75,"id":"s4","own":true,"role":"interpretation","text":"Thus a duality is found between the two UV theories in the sense that the two theories, each with a chemical potential turned on, flow to the same IR theory.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.66,"quantitative":false,"quantitative_p":0.44,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.25,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.75}},{"i":5,"p":0.86,"id":"s5","own":true,"role":"result","text":"Moreover, we identify a similar structure in the Hamiltonian reductions of the 2d Wess-Zumino-Witten (WZW) model with sl(3|2)-valued currents by matching the chiral symmetries there with the asymptotic symmetries of the three different embeddings.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.91,"main_claim_p":0.09,"quantitative":false,"quantitative_p":0.47,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.86,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.13,"interpretation":0.01}},{"i":6,"p":0.99,"id":"s6","own":true,"role":"interpretation","text":"Our computation gives an RG interpretation of (certain types of) the Hamiltonian reductions.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.93,"main_claim_p":0.11,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.01,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.99}},{"i":7,"p":0.75,"id":"s7","own":true,"role":"interpretation","text":"In addition, it gives a hint of a duality between the 3d higher-spin supergravity and some conformally extended super-Toda theory as suggested by 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