Branes at orbifolds versus Hanany Witten in six dimensions

1997/12/31 by Ilka Brunner, Andreas Karch · 220 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Computer science #Construct (python library) #Cosmology and Gravitation Theories #Duality (order theory) #Embedding #Equivalence (formal languages) #Mathematics #Noncommutative and Quantum Gravity Theories #Orientifold #Physics #Pure mathematics #Theoretical physics #hep-th

paper · pdf · doi:10.1088/1126-6708/1998/03/003

published in Journal of High Energy Physics 1998(03), 003 (Springer Nature) · 24 pages, LaTeX2e, 11 figures, using utarticle.cls (included). Typos corrected, Acknowledgements added

arxiv created 1998/01/14 · openalex publication_date 1998/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We reconstruct non-trivial 6d theories obtained by Blum and Intriligator by considering IIB or SO(32) 5 branes at ALE spaces in the language of Hanany Witten setups. Using ST duality we make the equivalence of the two approaches manifest, thereby uncovering several new T-duality relations between the group theoretic data describing the embedding of the instantonic 5 brane in the ALE and brane positions in the Hanany Witten language. We construct several new 6d theories, which can be understood as arising on 5 branes in IIB orientifolds with oppositely charged orientifold planes recently introduced by Witten.

Citations

• Global Anomalies and Geometric Engineering of Critical Theories in Six Dimensions
• TASI Lectures on D-Branes
• New phases of string theory and 6d RG fixed points via branes at orbifold singularities
• Non-trivial fixed points of the renormalization group in six dimensions
• RG fixed points in six dimensions via branes at orbifold singularities
• D-branes, Quivers, and ALE Instantons

Cited by

• On Algebraic Singularities, Finite Graphs and D-Brane Gauge Theories: A String Theoretic Perspective
• Little strings on D n orbifolds
• 6d holographic anomaly match as a continuum limit
• AdS6 solutions of type II supergravity
• Six-Dimensional Superconformal Theories and their Compactifications from Type IIA Supergravity
• 2-Group global symmetries and anomalies in six-dimensional quantum field theories
• F-theory and the classification of little strings
• Non-perturbative Symmetries of Little Strings and Affine Quiver Algebras
• Self-duality and self-similarity of little string orbifolds
• 6D strings and exceptional instantons