D-instantons on orbifolds and gauge/gravity correspondence
Alessandro Tanzini

TL;DR
This paper explores how D-instantons probe the geometry of D3-branes on orbifolds, revealing insights into gauge theories and the AdS/CFT correspondence through instanton calculus.
Contribution
It demonstrates the use of D-instanton calculus to reproduce gauge theory anomalies and supports the gauge/gravity duality for theories on curved spaces.
Findings
D-instantons reproduce gauge beta-functions and anomalies.
Identification of D-instantons with gauge instantons on ALE space.
Evidence supporting AdS/CFT duality in orbifold settings.
Abstract
D-instantons are used to probe the near-horizon geometry of D3-branes systems on orbifold spaces. For fractional D3-branes, D-instanton calculus correctly reproduces the gauge beta-function and U(1)_R anomaly of the corresponding N=2 non-conformal Super Yang-Mills theories. For D3-branes wrapping the orbifold singularity, D-instantons can be identified with gauge instantons on ALE space, providing evidence of AdS/CFT duality for gauge theories on curved spaces.
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