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

Duff, M. J.; Liu, James T.; Minasian, Ruben

doi:10.1016/0550-3213(95)00368-3

Cited by 381 publications

(599 citation statements)

References 92 publications

(196 reference statements)

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“…The reduction of type IIB on K3 is very similar to the reduction of type IIA, which was discussed in some detail in [37]. In the following we will use the reduction of the NS-NS sector fields given in [37], and derive the reduction of the type IIB RR fields.…”

Section: B Reduction Of Type Iib Solutions On K3mentioning

confidence: 91%

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Fuzzballs with internal excitations

Kanitscheider

Skenderis

Taylor

2007

J. High Energy Phys.

193

387

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We construct general 2-charge D1-D5 horizon-free non-singular solutions of IIB supergravity on T 4 and K3 describing fuzzballs with excitations in the internal manifold; these excitations are characterized by arbitrary curves. The solutions are obtained via dualities from F1-P solutions of heterotic and type IIB on T 4 for the K3 and T 4 cases, respectively.We compute the holographic data encoded in these solutions, and show that the internal excitations are captured by vevs of chiral primaries associated with the middle cohomology of T 4 or K3. We argue that each geometry is dual to a specific superposition of R ground states determined in terms of the Fourier coefficients of the curves defining the supergravity solution. We compute vevs of chiral primaries associated with the middle cohomology and show that they indeed acquire vevs in the superpositions corresponding to fuzzballs with internal excitations, in accordance with the holographic results. We also address the question of whether the fuzzball program can be implemented consistently within supergravity.

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Section: B Reduction Of Type Iib Solutions On K3mentioning

confidence: 91%

“…In the following we will use the reduction of the NS-NS sector fields given in [37], and derive the reduction of the type IIB RR fields. Let us first review the reduction of the NS-NS sector.…”

Section: B Reduction Of Type Iib Solutions On K3mentioning

confidence: 99%

Fuzzballs with internal excitations

Kanitscheider

Skenderis

Taylor

2007

J. High Energy Phys.

193

387

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“…The Lagrangian (3.1) is the leading order contribution in a derivative expansion. One of the next-to-leadingorder terms in this expansion reads [27,28] 10…”

Section: Compactification Without Fluxmentioning

confidence: 99%

Calabi-Yau fourfolds with flux and supersymmetry breaking

Berg

Haack

Samtleben

2003

J. High Energy Phys.

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In Calabi-Yau fourfold compactifications of M-theory with flux, we investigate the possibility of partial supersymmetry breaking in the three-dimensional effective theory. To this end, we place the effective theory in the framework of general N = 2 gauged supergravities, in the special case where only translational symmetries are gauged. This allows us to extract supersymmetry-breaking conditions, and interpret them as conditions on the 4-form flux and Calabi-Yau geometry. For N = 2 unbroken supersymmetry in three dimensions we recover previously known results, and we find a new condition for breaking supersymmetry from N = 2 to N = 1, i.e. from four to two supercharges. An example of a Calabi-Yau hypersurface in a toric variety that satisfies this condition is provided.

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“…Note that there are two anomalies, the tangent bundle anomaly [3,4] and the normal bundle anomaly [4,5]. Cancellation of both anomalies gives two independent checks, in particular both correlating the signs of S CS and S GS .…”

Section: Introductionmentioning

confidence: 99%

Anomaly cancellation in M-theory: a critical review

Bilal¹,

Metzger²

2003

Nuclear Physics B

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We carefully review the basic examples of anomaly cancellation in M-theory: the 5-brane anomalies and the anomalies on S 1 /Z 2 . This involves cancellation between quantum anomalies and classical inflow from topological terms. To correctly fix all coefficients and signs, proper attention is paid to issues of orientation, chirality and the Euclidean continuation. Independent of the conventions chosen, the ChernSimons and Green-Schwarz terms must always have the same sign. The reanalysis of the reduction to the heterotic string on S 1 /Z 2 yields a surprise: a previously neglected factor forces us to slightly modify the Chern-Simons term, similar to what is needed for cancelling the normal bundle anomaly of the 5-brane. This modification leads to a local cancellation of the anomaly, while maintaining the periodicity on S 1 .

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

Cited by 381 publications

References 92 publications

Fuzzballs with internal excitations

Fuzzballs with internal excitations

Calabi-Yau fourfolds with flux and supersymmetry breaking

Anomaly cancellation in M-theory: a critical review

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