منابع مشابه
Scheme dependence of instanton counting in ALE spaces
There have been two distinct schemes studied in the literature for instanton counting in Ap−1 asymptotically locally Euclidean (ALE) spaces. We point out that the two schemes—namely the counting of orbifolded instantons and instanton counting in the resolved space—lead in general to different results for partition functions. We illustrate this observation in the case of N = 2 U(N) gauge theory ...
متن کاملAnomalies in Instanton Calculus
I develop a formalism for solving topological field theories explicitly, in the case when the explicit expression of the instantons is known. I solve topological Yang-Mills theory with the k = 1 Belavin et al. instanton and topological gravity with the Eguchi-Hanson instanton. It turns out that naively empty theories are indeed nontrivial. Many unexpected interesting hidden quantities (puncture...
متن کاملMulti-instanton calculus in N=2 supersymmetric gauge theory.
The Seiberg-Witten solution of N = 2 supersymmetric SU(2) gauge theory may be viewed as a prediction for the infinite family of constants {Fn} measuring the n-instanton contribution to the prepotential F . Here we examine the instanton physics directly, in particular the contribution of the general self-dual solution of topological charge n constructed by Atiyah, Drinfeld, Hitchin and Manin (AD...
متن کاملInstanton Number Calculus on Noncommutative R
In noncommutative spaces, it is unknown whether the Pontrjagin class gives integer, as well as, the relation between the instanton number and Pontrjagin class is not clear. Where we define “Instanton number” by the size of Bα in the ADHM construction. We show the analytical derivation of the noncommuatative U(1) instanton number as an integral of Pontrjagin class (instanton charge) with the Foc...
متن کاملMissing Yang-Mills instantons on ALE spaces
We derive an expression for the dimension of the moduli space of SU(n) kinstantons on an r-centred ALE metric in terms of the triple (n, k, r). It is shown that if k mod r > n then no k-instantons exist. This implies that the corresponding Higgs branch of vacua representing marginally bound Dp-D(p+4) branes on an ALE background is zero dimensional.
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2004
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2004.09.014