{"paper":{"title":"The Gauge Dual of A Warped Product of AdS_4 and A Squashed and Stretched Seven-Manifold","arxiv_id":"0908.2546","primary_cat":"hep-th","submitted_at":"2009-08-18T11:34:57+00:00","version_compiled":"v2"},"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 v2","sentences":[{"i":0,"p":1.0,"id":"s0","own":false,"role":"background","text":"Corrado, Pilch and Warner in 2001 have found the second 11-dimensional solution where the deformed geometry of S^7 in the lift contains S^2 x S^2.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.02,"main_claim_p":0.06,"quantitative":true,"quantitative_p":0.85,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":1,"p":0.5,"id":"s1","own":true,"role":"result","text":"We identify the gauge dual of this background with the theory described by Franco, Klebanov and Rodriguez-Gomez recently.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.91,"main_claim_p":0.47,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.5,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.49,"interpretation":0.01}},{"i":2,"p":0.55,"id":"s2","own":false,"role":"result","text":"It is the U(N) x U(N) x U(N) gauge theory with two SU(2) doublet chiral fields B_1 transforming in the (N, Nbar, 1), B_2 transforming in the (1, N, Nbar), C_1 in the (1, Nbar, N) and C_2 in the (Nbar, N, 1) as well as an adjoint field \\Phi in the (1, adj, 1) representation.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.48,"main_claim_p":0.24,"quantitative":true,"quantitative_p":0.7,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.55,"background":0.01,"limitation":0.0,"future_work":0.0,"contribution":0.44,"interpretation":0.0}},{"i":3,"p":0.46,"id":"s3","own":true,"role":"method","text":"By adding the mass term for adjoint field \\Phi, the detailed correspondence between fields of AdS_4 supergravity and composite operators of the IR field theory is determined.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.86,"main_claim_p":0.13,"quantitative":false,"quantitative_p":0.06,"role_probabilities":{"gap":0.0,"method":0.46,"result":0.2,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.34,"interpretation":0.0}},{"i":4,"p":0.91,"id":"s4","own":true,"role":"contribution","text":"Moreover, we compute the spin-2 KK modes around a warped product of AdS_4 and a squashed and stretched seven-manifold.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.12,"quantitative":false,"quantitative_p":0.15,"role_probabilities":{"gap":0.0,"method":0.02,"result":0.07,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.91,"interpretation":0.0}},{"i":5,"p":0.8,"id":"s5","own":true,"role":"result","text":"This background with global SU(2) x SU(2) x U(1)_R symmetry is related to a U(N) x U(N) x U(N) N=2 superconformal Chern-Simons matter theory with eighth-order superpotential and Chern-Simons level (1,1,-2).","hedge":{"p":1.0,"label":"asserted"},"own_p":0.6,"main_claim_p":0.33,"quantitative":true,"quantitative_p":0.93,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.8,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.12,"interpretation":0.08}},{"i":6,"p":0.99,"id":"s6","own":true,"role":"result","text":"The mass-squared in AdS_4 depends on SU(2) x SU(2) x U(1)_R quantum numbers and KK excitation number.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.8,"main_claim_p":0.08,"quantitative":false,"quantitative_p":0.07,"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":7,"p":0.98,"id":"s7","own":true,"role":"result","text":"The dimensions of spin-2 operators are 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