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K-theory (physics)

About: K-theory (physics) is a research topic. Over the lifetime, 26 publications have been published within this topic receiving 3476 citations.

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TL;DR: In this article, a two-parameter generalization of the Seiberg-Witten prepotential is presented, which is rather natural from the M-theory/five dimensional perspective, and conjecture its relation to the tau-functions of KP/Toda hierarchy.
Abstract: Direct evaluation of the Seiberg-Witten prepotential is accomplished following the localization programme suggested in [1]. Our results agree with all low-instanton calculations available in the literature. We present a two-parameter generalization of the Seiberg-Witten prepotential, which is rather natural from the M-theory/five dimensional perspective, and conjecture its relation to the tau-functions of KP/Toda hierarchy.

2,159 citations

Journal ArticleDOI
TL;DR: In this article, it was shown that all supersymmetric Type IIA D-branes can be constructed as bound states of a certain number of unstable non-supersymmetric D9branes.
Abstract: We show that all supersymmetric Type IIA D-branes can be constructed as bound states of a certain number of unstable non-supersymmetric Type IIA D9-branes. This string-theoretical construction demonstrates that D-brane charges in Type IIA theory on spacetime manifold X are classified by the higher K-theory group K^(-1)X, as suggested recently by Witten. In particular, the system of N D0-branes can be obtained, for any N, in terms of sixteen Type IIA D9-branes. This suggests that the dynamics of Matrix theory is contained in the physics of magnetic vortices on the worldvolume of sixteen unstable D9-branes, described at low energies by a U(16) gauge theory.

354 citations

Journal ArticleDOI
TL;DR: In this paper, the boundary string field theory description of brane-antibrane systems is given, and the tachyon potential and the Tachyon condensation are discussed exactly.
Abstract: In this paper we give the boundary string field theory description of brane-antibrane systems. From the world-sheet action of brane-antibrane systems we obtain the tachyon potential and discuss the tachyon condensation exactly. We also find the world-volume action including the gauge fields. Moreover we determine RR-couplings exactly for non-BPS branes and brane-antibranes. These couplings are written by superconnections and correspond to K1(M) and K0(M) for the non-BPS branes and brane-antibranes, respectively. We also show that Myers terms appear if we include the transverse scalars in the boundary sigma model action.

243 citations

Journal ArticleDOI
TL;DR: In this article, the coupling of the Ramond-Ramond fields to D-branes in a K-theoretic framework was analyzed and it was shown that the anomaly in this coupling exactly cancels the anomaly from the fermions on the brane, both in type IIA and type IIB.
Abstract: A recent paper by Moore and Witten [1] explained that Ramond-Ramond fields in type-II superstring theory have a global meaning in K-theory. In this note we amplify and generalize some points raised in that paper. In particular, we express the coupling of the Ramond-Ramond fields to D-branes in a K-theoretic framework and show that the anomaly in this coupling exactly cancels the anomaly from the fermions on the brane, both in type IIA and type IIB.

135 citations

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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20231
20228
20194
20171
20082
20072