New techniques for gauge theories in projective superspace

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F23%3A00134366" target="_blank" >RIV/00216224:14310/23:00134366 - isvavai.cz</a>

Výsledek na webu

<a href="https://journals.aps.org/prd/abstract/10.1103/PhysRevD.108.066004" target="_blank" >https://journals.aps.org/prd/abstract/10.1103/PhysRevD.108.066004</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevD.108.066004" target="_blank" >10.1103/PhysRevD.108.066004</a>

Jazyk výsledku

angličtina

Název v původním jazyce

New techniques for gauge theories in projective superspace

Popis výsledku v původním jazyce

We introduce new techniques for calculations in gauge theories with extended supersymmetry. We are working in projective superspace where the SUo2 thorn R-symmetry is realized geometrically by including an auxiliary CP1 component in the superspace. Different gauge representations are associated with different dependence on the CP1 coordinate zeta and using contour integrals on CP1 we define natural projection operators on these different representations which leads to elegant formulas for all relevant objects. The new techniques lead to compact expressions for Lagrangians and field strengths in terms of the gauge prepotential but also to effective ways of reducing superspace expressions to components, i.e. to write them in terms of fields transforming covariantly only under a subgroup of the supersymmetry group. We illustrate our findings in several examples in three and four dimensions.

Název v anglickém jazyce

New techniques for gauge theories in projective superspace

Popis výsledku anglicky

We introduce new techniques for calculations in gauge theories with extended supersymmetry. We are working in projective superspace where the SUo2 thorn R-symmetry is realized geometrically by including an auxiliary CP1 component in the superspace. Different gauge representations are associated with different dependence on the CP1 coordinate zeta and using contour integrals on CP1 we define natural projection operators on these different representations which leads to elegant formulas for all relevant objects. The new techniques lead to compact expressions for Lagrangians and field strengths in terms of the gauge prepotential but also to effective ways of reducing superspace expressions to components, i.e. to write them in terms of fields transforming covariantly only under a subgroup of the supersymmetry group. We illustrate our findings in several examples in three and four dimensions.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical review D

ISSN

2470-0010

e-ISSN

2470-0029

Svazek periodika

108

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

20

Strana od-do

1-20

Kód UT WoS článku

001080027700003

EID výsledku v databázi Scopus

2-s2.0-85172768511