منابع مشابه
Dibaryons from Exceptional Collections
We discuss aspects of the dictionary between brane configurations in del Pezzo geometries and dibaryons in the dual superconformal quiver gauge theories. The basis of fractional branes defining the quiver theory at the singularity has a K-theoretic dual exceptional collection of bundles which can be used to read off the spectrum of dibaryons in the weakly curved dual geometry. Our prescription ...
متن کاملFrom Exceptional Collections to Motivic Decompositions
In this article we prove that the Chow motive of every smooth and proper Deligne-Mumford stack, whose bounded derived category of coherent schemes admits a full exceptional collection, decomposes into a direct sum of tensor powers of the Lefschetz motive. Examples include projective spaces, quadrics, toric varieties, homogeneous spaces, Fano threefolds, and moduli spaces. As an application we o...
متن کاملQuantum symmetries and exceptional collections
We study the interplay between discrete quantum symmetries at certain points in the moduli space of Calabi-Yau compactifications, and the associated identities that the geometric realization of D-brane monodromies must satisfy. We show that in a wide class of examples, both local and compact, the monodromy identities in question always follow from a single mathematical statement. One of the sim...
متن کاملFrom Exceptional Collections to Motivic Decompositions via Noncommutative Motives
Making use of noncommutative motives we relate exceptional collections (and more generally semi-orthogonal decompositions) to motivic decompositions. On one hand we prove that the Chow motive M(X )Q of every smooth and proper Deligne-Mumford stack X , whose bounded derived category D(X ) of coherent schemes admits a full exceptional collection, decomposes into a direct sum of tensor powers of t...
متن کاملExceptional Collections and del Pezzo Gauge Theories
Stacks of D3-branes placed at the tip of a cone over a del Pezzo surface provide a way of geometrically engineering a small but rich class of gauge/gravity dualities. We develop tools for understanding the resulting quiver gauge theories using exceptional collections. We prove two important results for a general quiver gauge theory: 1) we show the ordering of the nodes can be determined up to c...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2003
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2003/09/060