Extended chiral algebras and modular invariant partition functions

Schellekens, A.N.; Yankielowicz, Shimon

doi:10.1016/0550-3213(89)90310-6

Cited by 201 publications

(299 citation statements)

References 45 publications

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“…Simple current theory [10,11,6,4] shows that in the decomposition (7.6) isomorphicĀ-modules appear precisely as a consequence of fixed point resolution; therefore the multiplicity ofH Jλ in this decomposition is given by |U * λ |. On the other hand, as seen above, elements of the orbifold group G that are not in the stabilizer S λ relate isomorphicĀ-modules.…”

Section: (76)mentioning

confidence: 92%

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Symmetry breaking boundaries

Fuchs

Schweigert

2000

Nuclear Physics B

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Various structural properties of the space of symmetry breaking boundary conditions that preserve an orbifold subalgebra are established. To each such boundary condition we associate its automorphism type. We show that correlation functions in the presence of such boundary conditions are expressible in terms of twisted boundary blocks which obey twisted Ward identities. The subset of boundary conditions that share the same automorphism type is controlled by a classifying algebra, whose structure constants are shown to be traces on spaces of chiral blocks. T-duality on boundary conditions is not a one-to-one map in general. These structures are illustrated in a number of examples. Several applications, including the construction of non-BPS boundary conditions in string theory, are exhibited.

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Section: (76)mentioning

confidence: 92%

“…thenS is block diagonal of the formS 11) and the off-diagonal blocks are related to the diagonal ones by 12) where the symbols | full and | fixed stand for restriction of the rows to those corresponding to full orbits and to fixed points, respectively.…”

Section: (157)mentioning

confidence: 99%

Symmetry breaking boundaries

Fuchs

Schweigert

2000

Nuclear Physics B

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“…Let N λ x y be any NIM-rep, and let J be any simple current of the underlying fusion ring, say of order m. Then there will be a corresponding function [28] …”

Section: Jhep01(2007)035mentioning

confidence: 99%

“…For any factor d of n, we therefore have a quotient group SU(n)/Z d . The corresponding [24,25] modular invariant is [28] 11) where d = n/d, and k = k + n if k and n are odd, and k = k otherwise. In order for this to define a modular invariant partition function we need to have that n(n + 1)k/d is even.…”

Section: Jhep01(2007)035mentioning

confidence: 99%

Twisted brane charges for non-simply connected groups

Gaberdiel

Gannon

2007

J. High Energy Phys.

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Terry GannonDepartment of Mathematical Sciences, University of Alberta Edmonton, Alberta, Canada, T6G 2G1 E-mail: tgannon@math.ualberta.caAbstract: The charges of the twisted branes for strings on the group manifold SU(n)/Z d are determined. To this end we derive explicit (and remarkably simple) formulae for the relevant NIM-rep coefficients. The charge groups of the twisted and untwisted branes are compared and found to agree for the cases we consider.

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“…Modular invariance of Z X /G follows from the above conditions together with an important formula [38,39]:…”

Section: Jhep01(2007)081mentioning

confidence: 99%

Permutation orientifolds of Gepner models

Hosomichi

2007

J. High Energy Phys.

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In tensor products of a left-right symmetric CFT, one can define permutation orientifolds by combining orientation reversal with involutive permutation symmetries. We construct the corresponding crosscap states in general rational CFTs and their orbifolds, and study in detail those in products of affine U(1)2 models or N = 2 minimal models. The results are used to construct permutation orientifolds of Gepner models. We list the permutation orientifolds in a few simple Gepner models, and study some of their physical properties -supersymmetry, tension and RR charges. We also study the action of corresponding parity on D-branes, and determine the gauge group on a stack of parity-invariant D-branes. Tadpole cancellation condition and some of its solutions are also presented.

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Extended chiral algebras and modular invariant partition functions

Cited by 201 publications

References 45 publications

Symmetry breaking boundaries

Symmetry breaking boundaries

Twisted brane charges for non-simply connected groups

Permutation orientifolds of Gepner models

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