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Precise lower bound on Monster brane boundary entropy · Around

2013

Precise lower bound on Monster brane boundary entropy

Friedan, Daniel, Konechny, Anatoly, Schmidt-Colinet, Cornelius

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In this paper we develop further the linear functional method of deriving lower bounds on the boundary entropy of conformal boundary conditions in 1+1 dimensional conformal field theories (CFTs).

We show here how to use detailed knowledge of the bulk CFT spectrum.
Applying the method to the Monster CFT with c=\bar c=24 we derive a lower bound s > - 3.02 x 10^{-19} on the boundary entropy s=ln g, and find compelling evidence that the optimal bound is s>= 0.
We show that all g=1 branes must have the same low-lying boundary spectrum, which matches the spectrum of the known g=1 branes, suggesting that the known examples comprise all possible g=1 branes, and also suggesting that the bound s>= 0 holds not just for critical boundary conditions but for all boundary conditions in the Monster CFT.

Built on

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