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D-instanton probes of N=2 non-conformal geometries
High Energy Physics - Theory · Submitted 7 Jun 2001
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Via D-instanton calculus we study the geometry of such models for finite $N$ and recover the $\beta$ function of the gauge coupling constants which is expected in non conformal gauge theories.
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The abstract, sentence by sentence
D-instanton calculus has proved to be able to probe the AdS near horizon geometry for $N$ D-branes systems which, when decoupled from gravity, yield four dimensional superconformal gauge theories with various matter content. In this work we extend previous analysis to encompass fractional brane models which give rise to non conformal N=2 Super Yang-Mills theories. Via D-instanton calculus we study the geometry of such models for finite $N$ and recover the $\beta$ function of the gauge coupling constants which is expected in non conformal gauge theories. We also give a topological matrix theory formulation for the D-instanton action of these theories. Finally, we revisit the related system where the D3-branes wrap a ${\real}^4/{\zet}_p$ orbifold singularity and the D(-1) branes are associated to instanton solutions of four-dimensional gauge theories in the blown down ALE space.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | D-instanton calculus has proved to be able to probe the AdS near horizon geometry for $N$ D-branes systems which, when decoupled from gravity, yield four dimensional superconformal gauge theories with various matter content. | background 1.00 | 0.09 | 0.04 | asserted 1.00 |
| s1 | In this work we extend previous analysis to encompass fractional brane models which give rise to non conformal N=2 Super Yang-Mills theories. | contribution 0.99 | 0.86 | 0.08 | asserted 0.98 |
| s2 | Via D-instanton calculus we study the geometry of such models for finite $N$ and recover the $\beta$ function of the gauge coupling constants which is expected in non conformal gauge theories. | result 0.88 | 0.94 | 0.59 | asserted 0.99 |
| s3 | We also give a topological matrix theory formulation for the D-instanton action of these theories. | contribution 0.96 | 0.94 | 0.08 | asserted 1.00 |
| s4 | Finally, we revisit the related system where the D3-branes wrap a ${\real}^4/{\zet}_p$ orbifold singularity and the D(-1) branes are associated to instanton solutions of four-dimensional gauge theories in the blown down ALE space. | contribution 0.97 | 0.62 | 0.06 | asserted 0.94 |
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Original abstract
D-instanton calculus has proved to be able to probe the AdS near horizon geometry for $N$ D-branes systems which, when decoupled from gravity, yield four dimensional superconformal gauge theories with various matter content. In this work we extend previous analysis to encompass fractional brane models which give rise to non conformal N=2 Super Yang-Mills theories. Via D-instanton calculus we study the geometry of such models for finite $N$ and recover the $\beta$ function of the gauge coupling constants which is expected in non conformal gauge theories. We also give a topological matrix theory formulation for the D-instanton action of these theories. Finally, we revisit the related system where the D3-branes wrap a ${\real}^4/{\zet}_p$ orbifold singularity and the D(-1) branes are associated to instanton solutions of four-dimensional gauge theories in the blown down ALE space.
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4 arXiv papers cite this in 4 sentences
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Cites it as background 1 paper
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In ordinary cases the auxiliary fields collect the D- and F-terms of the gauge theory on the D(–1)'s, and the corresponding D- and F-flatness conditions are the ADHM constraints on the instanton moduli space (see for example Refs. [ref] for details).
Stringy instanton corrections to N=2 gauge couplings · Localization formulæ · 0.92
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