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pro vyhledávání: '"Tessler, Ran"'
The amplituhedron $A_{n,k,m}$ is a geometric object introduced in the context of scattering amplitudes in $N=4$ super Yang Mills. It generalizes the positive Grassmannian (when $n=k+m$), cyclic polytopes (when $k=1$), and the bounded complex of the c
Externí odkaz:
http://arxiv.org/abs/2404.03026
Autor:
Even-Zohar, Chaim, Lakrec, Tsviqa, Parisi, Matteo, Tessler, Ran, Sherman-Bennett, Melissa, Williams, Lauren
The amplituhedron is a mathematical object which was introduced to provide a geometric origin of scattering amplitudes in $\mathcal{N}=4$ super Yang Mills theory. It generalizes \emph{cyclic polytopes} and the \emph{positive Grassmannian}, and has a
Externí odkaz:
http://arxiv.org/abs/2402.15568
Autor:
Akhmedova, Evgeniya, Tessler, Ran J.
The Amplituhedron is a subspace of the Grassmannian that was recently defined by Arkani-Hamed and Trnka in their study of scattering amplitudes in planar $\mathcal{N}=4$ super Yang Mills theory (arXiv:1312.2007), and was the subject of many papers in
Externí odkaz:
http://arxiv.org/abs/2312.12319
Autor:
Tessler, Ran J., Zhao, Yizhen
The papers [5, 3, 6, 19, 20] initiated the study of open $r$-spin and open FJRW intersection theories, and related them to integrable hierarchies and mirror symmetry. This paper uses a new technique, the point insertion technique, developed in the pr
Externí odkaz:
http://arxiv.org/abs/2311.11779
Autor:
Even-Zohar, Chaim, Lakrec, Tsviqa, Parisi, Matteo, Tessler, Ran, Sherman-Bennett, Melissa, Williams, Lauren
The amplituhedron $A_{n,k,m}(Z)$ is the image of the positive Grassmannian $Gr_{k,n}^{\geq 0}$ under the map ${Z}: Gr_{k,n}^{\geq 0} \to Gr_{k,k+m}$ induced by a positive linear map $Z:\mathbb{R}^n \to \mathbb{R}^{k+m}$. Motivated by a question of Ho
Externí odkaz:
http://arxiv.org/abs/2310.17727
Autor:
Tessler, Ran J., Zhao, Yizhen
The papers [3, 1, 4, 10] constructed an intersection theory on the moduli space of $r$-spin disks, and proved it satisfies mirror symmetry and relations with integrable hierarchies. That theory considered only disks with a single type of boundary sta
Externí odkaz:
http://arxiv.org/abs/2310.13185
Autor:
Tessler, Ran, Tzalik, Elad
We study high dimensional expansion beyond simplicial complexes (posets) and focus on $q$-complexes which are complexes whose basic building blocks are linear spaces. We show that the complete $q$-complex (consists of all subspaces of a given linear
Externí odkaz:
http://arxiv.org/abs/2306.14317
In our previous two papers, we constructed an $r$-spin theory in genus zero for Riemann surfaces with boundary and fully determined the corresponding intersection numbers, providing an analogue of Witten's $r$-spin conjecture in genus zero in the ope
Externí odkaz:
http://arxiv.org/abs/2211.16302
We construct an open enumerative theory for the Landau-Ginzburg (LG) model $(\mathbb{C}^2, \mu_r\times \mu_s, x^r+y^s)$. The invariants are defined as integrals of multisections of a Witten bundle with descendents over a moduli space that is a real o
Externí odkaz:
http://arxiv.org/abs/2203.02435
We show that a generating function for open $r$-spin enumerative invariants produces a universal unfolding of the polynomial $x^r$. Further, the coordinates parametrizing this universal unfolding are flat coordinates on the Frobenius manifold associa
Externí odkaz:
http://arxiv.org/abs/2203.02423