2014/11/30 by Tetsuji Kimura, Shin Sasaki, Masaya Yata
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Mathematical physics #Mathematics #Monodromy #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons #Order (exchange) #Physics #Pure mathematics #Space (punctuation) #Torsion (gastropod) #hep-th
paper · pdf · doi:10.1007/jhep03(2015)076
published as JHEP 1503 (2015) 076 · 21 pages, version published in JHEP
openalex publication_date 2015/03/01 · arxiv created 2015/03/25 · arxiv updated 2015/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate a five-branes interpretation of hyper-Kähler geometry with torsion (HKT). This geometry is obtained by conformal transformation of the Taub-NUT space which represents a Kaluza-Klein five-brane. This HKT would represent an NS5-brane on the Taub-NUT space. In order to explore the HKT further, we compactify one transverse direction, and study the O(2,2;ℤ)=SL(2,ℤ)× SL(2,ℤ) monodromy structure associated with two-torus. Performing the conjugate transformation, we obtain a new solution whose physical interpretation is a defect (p, q) five-brane on the ALG space. Throughout this analysis, we understand that the HKT represents a coexistent state of two kinds of five-branes. This situation is different from composite states such as (p, q) five-branes or (p, q) seven-branes in type IIB theory. We also study the T-dualized system of the HKT. We again find a new solution which also indicates another defect (p, q) five-brane on the ALG space.