TY - JOUR
T1 - On 2d Conformal Field Theories with two characters
AU - Hampapura, Harsha R.
AU - Mukhi, Sunil
N1 - Publisher Copyright:
© 2016, The Author(s).
PY - 2016/1/1
Y1 - 2016/1/1
N2 - Rational CFT’s are classified by an integer ℓ, the number of zeroes of the Wronskian of their characters in moduli space. For ℓ = 0 they satisfy non-singular modularinvariant differential equations, while for ℓ > 0 the corresponding equations have singularities. We survey CFT’s with two characters and ℓ = 0, 2, 3, 4 and verify the consistency, at the level of characters, of some candidate theories with ℓ = 0. For ℓ = 2 there are seven consistents sets of characters. We identify specific combinations of level-1 current algebras that are potential symmetries of the corresponding CFT’s.
AB - Rational CFT’s are classified by an integer ℓ, the number of zeroes of the Wronskian of their characters in moduli space. For ℓ = 0 they satisfy non-singular modularinvariant differential equations, while for ℓ > 0 the corresponding equations have singularities. We survey CFT’s with two characters and ℓ = 0, 2, 3, 4 and verify the consistency, at the level of characters, of some candidate theories with ℓ = 0. For ℓ = 2 there are seven consistents sets of characters. We identify specific combinations of level-1 current algebras that are potential symmetries of the corresponding CFT’s.
KW - AdS-CFT Correspondence
KW - Conformal and W Symmetry
UR - https://www.scopus.com/pages/publications/84953342056
U2 - 10.1007/JHEP01(2016)005
DO - 10.1007/JHEP01(2016)005
M3 - Article
AN - SCOPUS:84953342056
SN - 1126-6708
VL - 2016
SP - 1
EP - 30
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 1
M1 - 5
ER -