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SIGMA 20 (2024), 063, 8 pages arXiv:2402.17174
https://doi.org/10.3842/SIGMA.2024.063
Contribution to the Special Issue on Basic Hypergeometric Series Associated with Root Systems and Applications in honor of Stephen C. Milne
On Some Special Cases of Gaiotto's Positivity Conjecture
Pavel Etingof
Department of Mathematics, MIT, Cambridge, MA 02139, USA
Received February 29, 2024, in final form July 11, 2024; Published online July 13, 2024
Abstract
We prove a conjecture of D. Gaiotto on positivity of inner products arising in studying Landau-Ginzburg boundary conditions in the 1-dimensional case, and in special cases in higher dimensions, for 3d free hypermultiplets.
Key words: gauge theory; total positivity; positive definite function; Bochner's theorem.
pdf (347 kb)
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References
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