TY - JOUR
T1 - Construction of the Unitary Free Fermion Segal CFT
AU - Tener, James E.
N1 - Publisher Copyright:
© 2017, Springer-Verlag GmbH Germany.
PY - 2017/10/1
Y1 - 2017/10/1
N2 - In this article, we provide a detailed construction and analysis of the mathematical conformal field theory of the free fermion, defined in the sense of Graeme Segal. We verify directly that the operators assigned to disks with two disks removed correspond to vertex operators, and use this to deduce analytic properties of the vertex operators. One of the main tools used in the construction is the Cauchy transform for Riemann surfaces, for which we establish several properties analogous to those of the classical Cauchy transform in the complex plane.
AB - In this article, we provide a detailed construction and analysis of the mathematical conformal field theory of the free fermion, defined in the sense of Graeme Segal. We verify directly that the operators assigned to disks with two disks removed correspond to vertex operators, and use this to deduce analytic properties of the vertex operators. One of the main tools used in the construction is the Cauchy transform for Riemann surfaces, for which we establish several properties analogous to those of the classical Cauchy transform in the complex plane.
UR - http://www.scopus.com/inward/record.url?scp=85023194002&partnerID=8YFLogxK
U2 - 10.1007/s00220-017-2959-x
DO - 10.1007/s00220-017-2959-x
M3 - Article
AN - SCOPUS:85023194002
SN - 0010-3616
VL - 355
SP - 463
EP - 518
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 2
ER -