Some thoughts about matrix coordinate transformations
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TL;DR: It is suggested to use the substitution operators to search for an inclusion function in the matrix coordinate transformations to construct transforming objects mimicking most of the properties of tensors.
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About: This article is published in Physics Letters B. The article was published on 17 Apr 2008. and is currently open access. The article focuses on the topics: Covariance and contravariance of vectors & Ellipsoidal coordinates.
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Citations
Dielectric 5-Branes and Giant Gravitons in ABJM
TL;DR: In this article, a supersymmetric NS5-brane is constructed on a twisted 5-sphere expanding in the $CP^3$ in $AdS_4\times CP^3$, with D0brane charge.
Dielectric 5-branes and giant gravitons in ABJM
TL;DR: In this paper, a supersymmetric NS5-brane is constructed on a twisted 5-sphere expanding in the CP 3 in AdS4 ×CP 3, with D0brane charge, which provides a realization of the stringy exclusion principle in terms of giant D0-branes.
References
Bound states of strings and p-branes
TL;DR: In this paper, it was shown that the Type IIB superstring in ten dimensions has a family of soliton and bound state strings permuted by SL(2, Z ) and the space-time coordinates enter tantalizingly in the formalism as noncommuting matrices.
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Bound States Of Strings And $p$-Branes
TL;DR: The recent discovery of an explicit conformal field theory description of Type II $p$-branes makes it possible to investigate the existence of bound states of such objects as mentioned in this paper.
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Dirac-Born-Infeld Action from Dirichlet Sigma Model
TL;DR: In this article, a σ-model calculation in the mixed Dirichlet-Neumann theory was performed and it was shown that the action of the Dirac-Born-Infeld type is restricted to (26−k)-dimensions.
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Non-abelian Brane Intersections
TL;DR: In this article, the authors studied the low-energy equations of motion for the non-abelian D-string and found a ''fuzzy funnel'' solution consisting of a noncommutative four-sphere geometry which expands along the length of the D string.
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General covariance of the non-abelian DBI-action
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TL;DR: In this article, the action of a single D0 brane in a curved background is studied and a set of constraints on the action for N D0-branes that ensure space-time covariance is determined.
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