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16 April 2021
Attention Priority Map Explains Surprising Phenomena of Visual Search
Researchers from HSE University and Harvard University have found that the speed of finding an item with a unique combination of features is not affected by the ease with which these items can be grouped by features. Such results are predicted by theories of parallel attention control. The study is published in the Journal of Vision.
15 April 2021
Life Satisfaction among Young People Linked to Collectivism
The values of collectivism remain important for young people. They promote a sense of loyalty to family and a willingness to accept support from loved ones. Young people who value mutual assistance and a close relationship with others are more satisfied with life, regardless of whether they belong to a collectivist or individualist type of culture.
15 April 2021
Researchers Establish Intracellular Interaction Network in Breast Cancer
HSE University researchers have identified the genes that play a crucial role in breast cancer metastasis. The results of the study were published in the journal PLOS ONE.

Working paper

Odd supersymmetric Kronecker elliptic function and Yang-Baxter equations

math-ph. arXiv:1910.01814. Cornell University, 2019
A. Levin, M. Olshanetsky, A. Zotov.
We introduce an odd supersymmetric version of the Kronecker elliptic function. It satisfies the genus one Fay identity and supersymmetric version of the heat equation. As an application we construct an odd supersymmetric extensions of the elliptic R -matrices, which satisfy the classical and the associative Yang-Baxter equations.
Language: English
Keywords: elliptic functions
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We study a general ansatz for an odd supersymmetric version of the Kronecker elliptic function, which satisfies the genus one Fay identity. The obtained result is used for construction of the odd supersymmetric analogue for the classical and quantum elliptic R -matrices. They are shown to satisfy the classical Yang-Baxter equation and the associative Yang-Baxter equation. The quantum Yang-Baxter is discussed as well. It acquires additional term in the case of supersymmetric R -matrices.
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Odd supersymmetric Kronecker elliptic function and Yang–Baxter equations
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We introduce an odd supersymmetric version of the Kronecker elliptic function. It satisfies the genus one Fay identity and supersymmetric version of the heat equation. As an application, we construct odd supersymmetric extensions of the elliptic R-matrices, which satisfy the classical and the associative Yang–Baxter equations.

 

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Эллиптические интегралы и эллиптические функции
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The theory of elliptic integrals and elliptic functions, which were driving force of mathematics in the eighteenth and nineteents centuries, are not only beautiful but have many applications in mathematics and physics. This simple reader-friendly book, based on the lectures at the Faculty of Mathematics, HSE, explains such theory and applications in original way.

Added: Oct 25, 2019