Monstrous Branes

Craps, Ben; Gaberdiel, Matthias R.; Harvey, Jeffrey A.

doi:10.1007/s00220-002-0763-7

Cited by 18 publications

(37 citation statements)

References 36 publications

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“…Quantum dimensions also appears in the calculation of left-right entanglement in RCFT [85]. One might perform similar computations in the orbifold VOA V M appeared in section 5.2, by using the Ishibashi boundary CFT states that were constructed in [86] for open bosonic strings ending on D-branes.…”

Section: Discussion and Outlookmentioning

confidence: 97%

Topological entanglement entropy in Euclidean AdS3 via surgery

Luo¹,

Sun²

2017

J. High Energ. Phys.

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We calculate the topological entanglement entropy (TEE) in Euclidean asymptotic AdS 3 spacetime using surgery. The treatment is intrinsically three-dimensional. In the BTZ black hole background, several different bipartitions are applied. For the bipartition along the horizon between two single-sided black holes, TEE is exactly the BekensteinHawking entropy, which supports the ER=EPR conjecture in the Euclidean case. For other bipartitions, we derive an Entangling-Thermal relation for each single-sided black hole, which is of topological origin. After summing over genus-one classical geometries, we compute TEE in the high-temperature regime. In the case where k = 1, we find that TEE is the same as that for the Moonshine double state, given by the maximally-entangled superposition of 194 types of "anyons" in the 3d bulk, labeled by the irreducible representations of the Monster group. We propose this as the bulk analogue of the thermofield double state in the Euclidean spacetime. Comparing the TEEs between thermal AdS 3 and BTZ solutions, we discuss the implication of TEE on the Hawking-Page transition in 3d.

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Section: Discussion and Outlookmentioning

confidence: 97%

Topological entanglement entropy in Euclidean AdS3 via surgery

Luo¹,

Sun²

2017

J. High Energ. Phys.

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“…(2.3) ‡ As is explained in [16], this transformation differs from the usual T-duality transformation by a rotation on the right-movers.…”

Section: The Setupmentioning

confidence: 99%

“…Some results for specific orbifolds have been obtained in [13,14,15,16], but a complete understanding still seems to be lacking. One natural candidate for a symmetry that acts differently on left and right moving degrees of freedom is T-duality.…”

Section: Introductionmentioning

confidence: 99%

D-branes in an asymmetric orbifold

Gaberdiel

Schäfer‐Nameki²

2003

Nuclear Physics B

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We consider the asymmetric orbifold that is obtained by acting with T-duality on a 4-torus, together with a shift along an extra circle. The chiral algebra of the resulting theory has non-trivial outer automorphisms that act as permutations on its simple factors. These automorphisms play a crucial role for constructing D-branes that couple to the twisted sector of the orbifold. 10/2002 ‡ On leave of absence from:

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“…The Monster is the symmetry of that conformal field theory, but the Bimonster M C 2 will be the symmetry of a rational conformal field theory with H = V ⊗ V . The paper [29] finds a family of D-branes for the latter theory which are in one-to-one correspondence with the elements of M, and their 'overlaps' g q (1/2)(L 0 +L 0−c/ 24) h equal the McKay-Thompson series T g −1 h . However, we still lack any explanation as to why a conformal field theory involving V should yield interesting physics.…”

Section: The Physics Of Moonshinementioning

confidence: 97%