{"paper":{"title":"Carrollian Worldsheets on Carrollian Targets, When does ILST describe a null string theory?","arxiv_id":"2610.03495","primary_cat":"hep-th","submitted_at":"2026-10-02T15:56:05+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-1.13.0 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":0.95,"id":"s0","own":false,"role":"background","text":"Null string theory (NST) is a two-dimensional (2d) sigma-model on a Carrollian worldsheet with 2d diffeomorphisms, Weyl and Carroll-Weyl (CW) scalings as gauge symmetries whereas the Isberg-Lindstr\\\"om-Sundborg-Theodoridis (ILST) theory on a generic target space only realizes the first two and not the CW gauge symmetry.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.08,"main_claim_p":0.07,"quantitative":true,"quantitative_p":0.63,"role_probabilities":{"gap":0.05,"method":0.0,"result":0.0,"background":0.95,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":1,"p":0.96,"id":"s1","own":true,"role":"result","text":"We show in this work that NST on the Carrollian target spaces (CTS) is well-defined if the background admits a homothetic kernel generator and that, it is described by the ILST theory on the same CTS.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.89,"quantitative":false,"quantitative_p":0.23,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.96,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.04,"interpretation":0.0}},{"i":2,"p":0.79,"id":"s2","own":true,"role":"method","text":"To this end, we formulate a minimal null string theory on CTS, starting from first principles and then discuss beyond minimal theories as deformations away from minimality.","hedge":{"p":0.93,"label":"asserted"},"own_p":0.92,"main_claim_p":0.07,"quantitative":false,"quantitative_p":0.09,"role_probabilities":{"gap":0.0,"method":0.79,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.21,"interpretation":0.0}},{"i":3,"p":0.98,"id":"s3","own":true,"role":"contribution","text":"We study some classes of such deformations involving the clock one-from for ruled Carrollian spaces and/or connection on the Carrollian space.","hedge":{"p":0.85,"label":"asserted"},"own_p":0.88,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.02,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.98,"interpretation":0.0}},{"i":4,"p":0.97,"id":"s4","own":true,"role":"interpretation","text":"We discuss implications of this for the recently introduced null string holography.","hedge":{"p":0.73,"label":"unclear"},"own_p":0.7,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.97}},{"i":5,"p":0.88,"id":"s5","own":true,"role":"contribution","text":"As examples CTS, we briefly discuss null strings probing black hole horizons and the null string holography in this 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