An improved Nicolai map for super Yang–Mills theory

Research output: Contribution to journalArticleResearchpeer review

View graph of relations

Details

Original languageEnglish
Article number137681
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume838
Early online date11 Jan 2023
Publication statusPublished - 10 Mar 2023

Abstract

Adding a topological theta term to the action of N=1 D=4 super Yang–Mills theory modifies its Nicolai map. For the BPS value of the theta angle a chiral version of the map emerges, which allows for a considerable simplification compared to the non-chiral formulation. We exhibit these improvements to all orders in perturbation theory and compute the map to fourth order in the coupling on the Laudau-gauge hypersurface. The second-order contribution vanishes, and antisymmetrizations are more manifest. All checks are verified to third order.

ASJC Scopus subject areas

Cite this

An improved Nicolai map for super Yang–Mills theory. / Lechtenfeld, Olaf; Rupprecht, Maximilian.
In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 838, 137681, 10.03.2023.

Research output: Contribution to journalArticleResearchpeer review

Lechtenfeld O, Rupprecht M. An improved Nicolai map for super Yang–Mills theory. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2023 Mar 10;838:137681. Epub 2023 Jan 11. doi: 10.48550/arXiv.2211.07660, 10.1016/j.physletb.2023.137681
Download
@article{b1044d7faca049a9b883c07b1dff1220,
title = "An improved Nicolai map for super Yang–Mills theory",
abstract = "Adding a topological theta term to the action of N=1 D=4 super Yang–Mills theory modifies its Nicolai map. For the BPS value of the theta angle a chiral version of the map emerges, which allows for a considerable simplification compared to the non-chiral formulation. We exhibit these improvements to all orders in perturbation theory and compute the map to fourth order in the coupling on the Laudau-gauge hypersurface. The second-order contribution vanishes, and antisymmetrizations are more manifest. All checks are verified to third order.",
author = "Olaf Lechtenfeld and Maximilian Rupprecht",
note = "Funding Information: M.R. is supported by a PhD grant of the German Academic Scholarship Foundation . ",
year = "2023",
month = mar,
day = "10",
doi = "10.48550/arXiv.2211.07660",
language = "English",
volume = "838",
journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",
issn = "0370-2693",
publisher = "Elsevier",

}

Download

TY - JOUR

T1 - An improved Nicolai map for super Yang–Mills theory

AU - Lechtenfeld, Olaf

AU - Rupprecht, Maximilian

N1 - Funding Information: M.R. is supported by a PhD grant of the German Academic Scholarship Foundation .

PY - 2023/3/10

Y1 - 2023/3/10

N2 - Adding a topological theta term to the action of N=1 D=4 super Yang–Mills theory modifies its Nicolai map. For the BPS value of the theta angle a chiral version of the map emerges, which allows for a considerable simplification compared to the non-chiral formulation. We exhibit these improvements to all orders in perturbation theory and compute the map to fourth order in the coupling on the Laudau-gauge hypersurface. The second-order contribution vanishes, and antisymmetrizations are more manifest. All checks are verified to third order.

AB - Adding a topological theta term to the action of N=1 D=4 super Yang–Mills theory modifies its Nicolai map. For the BPS value of the theta angle a chiral version of the map emerges, which allows for a considerable simplification compared to the non-chiral formulation. We exhibit these improvements to all orders in perturbation theory and compute the map to fourth order in the coupling on the Laudau-gauge hypersurface. The second-order contribution vanishes, and antisymmetrizations are more manifest. All checks are verified to third order.

UR - http://www.scopus.com/inward/record.url?scp=85146727058&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2211.07660

DO - 10.48550/arXiv.2211.07660

M3 - Article

AN - SCOPUS:85146727058

VL - 838

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

M1 - 137681

ER -

By the same author(s)