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Welcome!

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Hello, Vasilii Tiorkin, and welcome to Wikipedia! Thank you for your contributions. I hope you like the place and decide to stay. Here are a few links to pages you might find helpful:

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Please remember to sign your messages on talk pages by typing four tildes (~~~~); this will automatically insert your username and the date. If you need help, check out Wikipedia:Questions, ask me on my talk page, or ask for help on your talk page, and a volunteer should respond shortly. Again, welcome! RJFJR (talk) 15:19, 5 May 2017 (UTC)[reply]

Supersymmetric Theory of Stochastic Dynamics, which you submitted to Articles for creation, has been created.

You are more than welcome to continue making quality contributions to Wikipedia. Note that because you are a logged-in user, you can create articles yourself, and don't have to post a request. However, you may continue submitting work to Articles for Creation if you prefer.

Thank you for helping improve Wikipedia!

» Shadowowl | talk 20:04, 26 May 2017 (UTC)[reply]

ArbCom 2017 election voter message

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Hello, Vasilii Tiorkin. Voting in the 2017 Arbitration Committee elections is now open until 23.59 on Sunday, 10 December. All users who registered an account before Saturday, 28 October 2017, made at least 150 mainspace edits before Wednesday, 1 November 2017 and are not currently blocked are eligible to vote. Users with alternate accounts may only vote once.

The Arbitration Committee is the panel of editors responsible for conducting the Wikipedia arbitration process. It has the authority to impose binding solutions to disputes between editors, primarily for serious conduct disputes the community has been unable to resolve. This includes the authority to impose site bans, topic bans, editing restrictions, and other measures needed to maintain our editing environment. The arbitration policy describes the Committee's roles and responsibilities in greater detail.

If you wish to participate in the 2017 election, please review the candidates and submit your choices on the voting page. MediaWiki message delivery (talk) 18:42, 3 December 2017 (UTC)[reply]

ArbCom 2018 election voter message

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Hello, Vasilii Tiorkin. Voting in the 2018 Arbitration Committee elections is now open until 23.59 on Sunday, 3 December. All users who registered an account before Sunday, 28 October 2018, made at least 150 mainspace edits before Thursday, 1 November 2018 and are not currently blocked are eligible to vote. Users with alternate accounts may only vote once.

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Supersymmetric theory of stochastic dynamics

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Hi, it looks like you are sometimes active on wikipedia. I wanted to talk about Supersymmetric theory of stochastic dynamics, and ideally, have you explain it to me. FWIW, I do know supersymmetry, and once upon a time, I studied BRST but kind of forgotten it (I could learn it again.) Here's why I ask. That article makes some very dramatic and broad claims that I find surprising. I want to understand if they are as broad as they seem to be, or if they are narrower. And thus .. I'd like to talk to you directly, to straighten things out.

Let me start with the basics: so, for example, the article starts with a but then doesn't "do anything" with it. It's rewritten in several different forms, but ... its not obvious how to use it to "solve" anything. Say, given some specific diffeq, its not clear how to obtain solutions using this, or how to actually calculate specific "useful" quantities/invariants/averages, etc. (perhaps I'm being stupid and impatient)

Right now, I'm not even sure what to ask or how to ask it; but the first step was to try to contact you. We can continue this conversation ... here, or on my talk page, or on the article talk page, or by private email. The conversation will probably be very very slow, because I have many other things to worry about, and the quantity of material here is so large, it will take me a while to absorb it. But I'd be thrilled if you could wave a magic wand and make me instantly smart. 67.198.37.16 (talk) 07:20, 23 May 2024 (UTC)[reply]

Hi, thank you for your message !
Regarding the Witten index, it is a subtle, fundamental and very common mistake in the Literature to use W as if it was a partition function of the SDE. In reality, it is a partition function of the noise (up to a topological factor) and it is not responsive to, say, the perturbation of the SDE. Accordingly, it cannot be used to study the response of the system to the perturbation - the response of W is identically zero. This is why I tried to stress it in the article that W cannot be used to "solve anything".
To address various interesting characteristics, one should turn to the partition function by switching from the periodic to antiperiodic boundary conditions for the ghosts. Unlike the Witten index, the partition function is not a topological invariant. This does not mean, however, that the topological supersymmetry is gone -- the topological supersymmetry is the property of the evolution operator and it is still there.
Let us use conventional email. My email is in this paper
https://www.sciencedirect.com/science/article/abs/pii/S0960077924001620
Vasilii Tiorkin (talk) 14:36, 23 May 2024 (UTC)[reply]