ADHM is Tachyon Condensation
Koji Hashimoto (Univ. of Tokyo), Seiji Terashima (Rutgers)
TL;DR
This paper provides a comprehensive string theory realization of the ADHM construction of instantons using D-branes and tachyon condensation, establishing physical interpretations and protections against stringy corrections.
Contribution
It offers a complete D-brane and tachyon condensation framework for the ADHM instanton construction, including inverse and noncommutative cases, with all steps physically interpreted.
Findings
Equivalence between Yang-Mills instantons and D-brane configurations proven.
Small instanton configurations are protected from stringy corrections.
D-brane realizations of inverse and noncommutative ADHM constructions provided.
Abstract
We completely realize the ADHM construction of instantons in D-brane language of tachyon condensations. Every step of the construction is given a physical interpretation in string theory, in a boundary state formalism valid all order in \alpha'. Accordingly, equivalence between Yang-Mills configurations on D4-branes and D0-branes inside the D4-branes is proven, which shows that small instanton configurations of the Yang-Mills fields are protected against stringy \alpha' corrections. We provide also D-brane realizations of the inverse ADHM construction, the completeness, and the noncommutative ADHM construction.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.