Fermionization of conformal boundary states

Abstract We study conformal boundary conditions for the theory of a single real scalar to investigate whether the known Dirichlet and Neumann conditions are the only possibilities. For this free bulk theory there are strong restrictions on the possible boundary dynamics. In particular, we find that the bulk-to-boundary operator expansion of the bulk field involves at most a ‘shadow pair’ of boundary fields, irrespective of the conformal boundary condition. We numerically analyze the four-point crossing equations for this shadow pair in the case of a three-dimensional boundary (so a four-dimensional scalar field) and find that large ranges of parameter space are excluded. However a ‘kink’ in the numerical bounds obeys all our consistency checks and might be an indication of a new conformal boundary condition.

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Grain-boundary states and hydrogenation of fine-grained polycrystalline silicon films deposited by molecular beams

Philosophical Magazine B ◽

10.1080/13642819108205949 ◽

1991 ◽

Vol 63 (2) ◽

pp. 443-455 ◽

Cited By ~ 33

Author(s):

D. Jousse ◽

S. L. Delage ◽

S. S. Iyer

Keyword(s):

Grain Boundary ◽

Polycrystalline Silicon ◽

Molecular Beams ◽

Silicon Films ◽

Fine Grained ◽

Boundary States ◽

Polycrystalline Silicon Films

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OPEN DESCENDANTS OF U(2N) ORBIFOLDS AT RATIONAL RADII

International Journal of Modern Physics A ◽

10.1142/s0217751x01005158 ◽

2001 ◽

Vol 16 (22) ◽

pp. 3659-3671 ◽

Cited By ~ 4

Author(s):

A. N. SCHELLEKENS ◽

N. SOUSA

Keyword(s):

Klein Bottle ◽

Charge Conjugation ◽

Boundary States ◽

Simple Currents

We construct explicitly the open descendants of some exceptional automorphism invariants of U (2N) orbifolds. We focus on the case N = p1 × p2, p1 and p2 prime, and on the automorphisms of the diagonal and charge conjugation invariants that exist for these values of N. These correspond to orbifolds of the circle with radius R2 = 2p1/p2. For each automorphism invariant we find two consistent Klein bottles, and for each Klein bottle we find a complete (and probably unique) set of boundary states. The two Klein bottles are in each case related to each other by simple currents, but surprisingly for the automorphism of the charge conjugation invariant neither of the Klein bottle choices is the canonical (symmetric) one.

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