TY - JOUR
T1 - Non-chiral logarithmic couplings for the Virasoro algebra
AU - Ridout, David
PY - 2012/6/29
Y1 - 2012/6/29
N2 - This paper initiates the study of what we call non-chiral staggered Virasoro modules, indecomposable modules on which two copies of the Virasoro algebra act with the zero-modes L 0 and acting non-semisimply. This is motivated by the puzzle recently reported in Vasseur et al (2012 Phys. Rev. Lett. 108 161602) involving a non-standard measured value, meaning that the value is not familiar from chiral studies, for the b-parameter (logarithmic coupling) of a c = 0 bulk conformal field theory. Here, an explanation is proposed by introducing a natural family of bulk modules and showing that the only consistent, non-standard logarithmic coupling that is distinguished through structure is that which was measured. This observation is shown to persist for general central charges and a conjecture is made for the values of certain non-chiral logarithmic couplings.
AB - This paper initiates the study of what we call non-chiral staggered Virasoro modules, indecomposable modules on which two copies of the Virasoro algebra act with the zero-modes L 0 and acting non-semisimply. This is motivated by the puzzle recently reported in Vasseur et al (2012 Phys. Rev. Lett. 108 161602) involving a non-standard measured value, meaning that the value is not familiar from chiral studies, for the b-parameter (logarithmic coupling) of a c = 0 bulk conformal field theory. Here, an explanation is proposed by introducing a natural family of bulk modules and showing that the only consistent, non-standard logarithmic coupling that is distinguished through structure is that which was measured. This observation is shown to persist for general central charges and a conjecture is made for the values of certain non-chiral logarithmic couplings.
UR - http://www.scopus.com/inward/record.url?scp=84862137664&partnerID=8YFLogxK
U2 - 10.1088/1751-8113/45/25/255203
DO - 10.1088/1751-8113/45/25/255203
M3 - Article
SN - 1751-8113
VL - 45
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 25
M1 - 255203
ER -