Odd supersymmetric Kronecker elliptic function and Yang-Baxter equations

A. Levin; M. Olshanetsky; A. Zotov

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18 November 2019

Eight HSE Faculty Members Elected Full and Corresponding Members to the Russian Academy of Sciences

After holding elections at a general meeting on November 14-15, the Russian Academy of Sciences (RAS) has announced its new full and corresponding members. Among those announced, eight new appointees are HSE faculty members.

15 November 2019

Advice from Above: Sociologists Have Assessed the Impact that Priests Have on How Their Parishioners Vote

Political preferences of at least 21% of Orthodox voters in Russia may be influenced by the clergy and their fellow believers. Based on an online survey of 2,735 respondents, HSE University sociologists Kirill Sorvin and Maksim Bogachev concluded that religion has a considerable impact on people’s political choices. The scholars assume that the share of those who vote ‘in an Orthodox way’ may be higher: many respondents were under 34, and young people are a minority among Orthodox believers in Russia.

14 November 2019

Efficient, but Not without Help: How Russian State-owned Banks Differ from Their Foreign Counterparts

HSE University economists analyzed what banks performed best on the Russian market from 2004 to 2015 - state, private, or foreign-owned ones. They found out that during stable economic and political periods, foreign-owned banks tend to take the lead, while during a crisis period, such as from 2008 to 2013, state-owned banks outperformed them. The article was published in the Emerging Markets Finance and Trade journal.

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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