منابع مشابه
D-branes, Tachyons and K-homology
In this lecture we will discuss one of the most interesting recent developments in mathematical physics, the classification of D-brane charges in string theory using Ktheoretic methods [1]–[6]. Our presentation will be in the context of explaining how certain mathematical structures find very natural physical explanations in string theory. In particular, we will focus on two very important feat...
متن کاملK-homology in algebraic geometry and D-branes
In this article, we study how the Grothendieck group of coherent sheaves can be used to describe D-branes. We show how global bound state construction in topological K-theory can be adapted to our context, showing that D-branes wrapping a subvariety are holomorphically classified by a relative K-group. By taking the duality between the relative K-groups and the K-homologies, we show that D-bran...
متن کاملD-branes and K-theory
By exploiting recent arguments about stable nonsupersymmetric D-brane states, we argue that D-brane charge takes values in the K-theory of spacetime, as has been suspected before. In the process, we gain a new understanding of some novel objects proposed recently – such as the Type I zerobrane – and we describe some new objects – such as a −1-brane in Type I superstring theory.
متن کاملGeometric Actions for D-Branes and M-Branes
New forms of Born-Infeld, D-brane and M theory five-brane actions are found which are quadratic in the abelian field strength. The gauge fields couple both to a background or induced metric and a new auxiliary metric, whose elimination reproduces the non-polynomial Born-Infeld action. This is similar to the introduction of an auxiliary metric to simplify the Nambu-Goto string action. This simpl...
متن کاملConstructing D-branes from K-theory
A detailed review of recent developments in the topological classification of D-branes in superstring theory is presented. Beginning with a thorough, self-contained introduction to the techniques and applications of topological K-theory, the relationships between the classic constructions of K-theory and the recent realizations of D-branes as tachyonic solitons, coming from bound states of high...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2006
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-006-0010-8