U(1)-extended gauge algebras in p-loop space

Bergshoeff, Eric; Percacci, Roberto; Sezgin, Ergin; Stelle, K.S.; Townsend, Paul

doi:10.1016/0550-3213(93)90113-4

Cited by 11 publications

(22 citation statements)

References 34 publications

(23 reference statements)

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“…• In analogy to how String structures appear in terms of the vanishing of a worldsheet anomaly for the superstring, Fivebrane structures are related to the vanishing of an anomaly in the six-dimensional worldvolume theory of the fivebranes. In M-theory and type IIA string theory, this is the anomaly of the M-theory fivebrane [26,27,56,11,17], while in heterotic string theory this is the worldvolume anomaly of the heterotic fivebrane [51]. Note that the electric-magnetic duality between strings and 5-branes in ten dimensions relates String structures and Fivebrane structures: • We notice that string theory suggests that String structures and Fivebrane structures are related by a duality which generalizes Hodge duality.…”

Section: Fivebrane Structures 1225mentioning

confidence: 91%

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Fivebrane Structures

2009

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We study the cohomological physics of fivebranes in type II and heterotic string theory. We give an interpretation of the one-loop term in type IIA, which involves the first and second Pontrjagin classes of spacetime, in terms of obstructions to having bundles with certain structure groups. Using a generalization of the Green-Schwarz anomaly cancellation in heterotic string theory which demands the target space to have a String structure, we observe that the "magnetic dual" version of the anomaly cancellation condition can be read as a higher analog of String structure, which we call Fivebrane structure. This involves lifts of orthogonal and unitary structures through higher connected covers which are not just 3-but even 7-connected. We discuss the topological obstructions to the existence of Fivebrane structures. The dual version of the anomaly cancellation points to a relation of string and Fivebrane structures under electric-magnetic duality.

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Section: Fivebrane Structures 1225mentioning

confidence: 91%

“…(1) In order for a bundle to be lifted from string to O 8 , it has already to be spin. Thus the first Pontrjagin classes in expressions (11) and (12) are set to zero and then dH 7 in both cases is some linear combination of the second Pontrjagin classes, corresponding to the (lifts of the) tangent and the gauge bundles, TX and E (cf. [49]).…”

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confidence: 99%

Fivebrane Structures

2009

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“…However, such a Bianchi identity will in general require gravitational Chern-Simons corrections arising from a sigma-model anomaly on the fivebrane worldvolume [18,19,20,21,22,14,7]:…”

Section: From (33) the Fivebrane Bianchi Identity Readsmentioning

confidence: 99%

Eleven-dimensional origin of string/string duality: a one-loop test

Duff¹,

Liu²,

Minasian³

1995

Nuclear Physics B

381

581

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Membrane/fivebrane duality in D = 11 implies Type IIA string/Type IIA fivebrane duality in D = 10, which in turn implies Type IIA string/heterotic string duality in D = 6.To test the conjecture, we reproduce the corrections to the 3-form field equations of the D = 10 Type IIA string (a mixture of tree-level and one-loop effects) starting from the Chern-Simons corrections to the 7-form Bianchi identities of the D = 11 fivebrane (a purely tree-level effect). K3 compactification of the latter then yields the familiar gauge and Lorentz Chern-Simons corrections to 3-form Bianchi identities of the heterotic string. We note that the absence of a dilaton in the D = 11 theory allows us to fix both the gravitational constant and the fivebrane tension in terms of the membrane tension. We also comment on an apparent conflict between fundamental and solitonic heterotic strings and on the puzzle of a fivebrane origin of S-duality.

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“…To construct a Wess-Zumino term for the superfivebrane in eleven dimensions, we need a super seven-form. The obvious guess would be (16), but that form is not closed, as mentioned earlier.…”

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confidence: 99%

“…The γ-matrix identity (18) suggests the way to modify (16) to obtain a closed super seven-form as follows:…”

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confidence: 99%

The M-algebra

Sezgin

1997

Physics Letters B

144

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We construct a new extension of the Poincaré superalgebra in eleven dimensions which contains super one-, two-and five-form charges. The latter two are associated with the supermembrane and the superfivebrane of M-theory. Using the Maurer-Cartan equations of this algebra, we construct closed super seven-forms in a number of ways. The pull-back of the corresponding super sixforms are candidate superfivebrane Wess-Zumino terms, which are manifestly supersymmetric, and contain coordinates associated with the new charges.

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U(1)-extended gauge algebras in p-loop space

Cited by 11 publications

References 34 publications

Fivebrane Structures

Fivebrane Structures

Eleven-dimensional origin of string/string duality: a one-loop test

The M-algebra

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