Fusion of Critical Defect Lines in the 2D Ising Model - INSPIRE

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Fusion of Critical Defect Lines in the 2D Ising Model

C. Bachas
(
- Ecole Normale Superieure
)
,
I. Brunner
(
- Munich U., ASC and
- Munich, Tech. U., Universe
)
,
D. Roggenkamp
(
- Heidelberg U.
)

Mar 14, 2013

13 pages

Published in:

J.Stat.Mech. 1308 (2013) P08008

Published: Aug 21, 2013

e-Print:

1303.3616 [cond-mat.stat-mech]

DOI:

10.1088/1742-5468/2013/08/P08008

Report number:

LMU-ASC-13-13,
LPTENS-13-06

View in:

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Abstract: (IOP)

Two defect lines separated by a distance δ look from much larger distances like a single defect. In the critical theory, when all scales are large compared to the cutoff scale, this fusion of defect lines is universal. We calculate the universal fusion rule in the critical 2D Ising model and show that it is given by the Verlinde algebra of primary fields, combined with group multiplication in O(1,1)/Z2. Fusion is in general singular and requires the subtraction of a divergent Casimir energy.

Note:

17 pages

conformal field theory
conformal field theory (theory)
energy: Casimir
defect
fusion
Ising model
O(1,1)
dimension: 2
critical phenomena

References(24)

Figures(3)

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