A properly extended chiral part of rational conformal field theory (RCFT) Possesses an internal quantum symmetry. There exist self dual chiral Green functions defined up to an overall phase factor which transform under a 1-dimensional (unitary) representation of the braid group B(n). A B(n)-invariant inner product is constructed in the space of quantum group invariants which allows to reproduce 2-dimensional monodromy free euclidean Green functions by pairing the correlation functions of the left and right sectors.
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Indian Inst Technol Kanpur, Kanpur 208016, Uttar Pradesh, India
Univ Durham, Ctr Particle Theory, Dept Math Sci, South Rd, Durham DH1 3LE, EnglandIndian Inst Technol Kanpur, Kanpur 208016, Uttar Pradesh, India
Bagchi, Arjun
Mehra, Aditya
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Indian Inst Technol Kanpur, Kanpur 208016, Uttar Pradesh, India
Univ Fed Rio Grande do Norte, Int Inst Phys, Campus Univ, BR-59078970 Natal, RN, BrazilIndian Inst Technol Kanpur, Kanpur 208016, Uttar Pradesh, India
Mehra, Aditya
Nandi, Poulami
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Indian Inst Technol Kanpur, Kanpur 208016, Uttar Pradesh, IndiaIndian Inst Technol Kanpur, Kanpur 208016, Uttar Pradesh, India