New techniques for gauge theories in projective superspace

J 2023

New techniques for gauge theories in projective superspace

DAVGADORJ, Ariunzul; Ulf LINDSTRÖM a Rikard VON UNGE

Základní údaje

Originální název

New techniques for gauge theories in projective superspace

Autoři

DAVGADORJ, Ariunzul (496 Mongolsko, domácí); Ulf LINDSTRÖM (752 Švédsko) a Rikard VON UNGE (752 Švédsko, garant, domácí)

Vydání

Physical review D, COLLEGE PK, American Physical Society, 2023, 2470-0010

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10303 Particles and field physics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL arXiv

Impakt faktor

Impact factor: 4.600

Kód RIV

RIV/00216224:14310/23:00134366

Organizační jednotka

Přírodovědecká fakulta

DOI

http://dx.doi.org/10.1103/PhysRevD.108.066004

UT WoS

001080027700003

EID Scopus

2-s2.0-85172768511

Klíčová slova anglicky

Gauge theories; Supersymmetric field theories; Supersymmetry

Štítky

rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 30. 1. 2024 09:36, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

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.

Návaznosti

GA20-04800S, projekt VaV

Název: Integrabilni deformace

Investor: Grantová agentura ČR, Integrable deformations

GA23-06498S, projekt VaV

Název: Duality a derivace vyšších řádů

Investor: Grantová agentura ČR, Duality a derivace vyšších řádů

Citovat

DAVGADORJ, Ariunzul; Ulf LINDSTRÖM a Rikard VON UNGE. New techniques for gauge theories in projective superspace. Physical review D. COLLEGE PK: American Physical Society, 2023, roč. 108, č. 6, s. 1-20. ISSN 2470-0010. Dostupné z: https://dx.doi.org/10.1103/PhysRevD.108.066004.

@article{2359507,
   author = {Davgadorj, Ariunzul and Lindström, Ulf and von Unge, Rikard},
   article_location = {COLLEGE PK},
   article_number = {6},
   doi = {http://dx.doi.org/10.1103/PhysRevD.108.066004},
   keywords = {Gauge theories; Supersymmetric field theories; Supersymmetry},
   language = {eng},
   issn = {2470-0010},
   journal = {Physical review D},
   title = {New techniques for gauge theories in projective superspace},
   url = {https://journals.aps.org/prd/abstract/10.1103/PhysRevD.108.066004},
   volume = {108},
   year = {2023}
}

TY  - JOUR
ID  - 2359507
AU  - Davgadorj, Ariunzul - Lindström, Ulf - von Unge, Rikard
PY  - 2023
TI  - New techniques for gauge theories in projective superspace
JF  - Physical review D
VL  - 108
IS  - 6
SP  - 1-20
EP  - 1-20
PB  - American Physical Society
SN  - 24700010
KW  - Gauge theories
KW  - Supersymmetric field theories
KW  - Supersymmetry
UR  - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.108.066004
N2  - 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.
ER  -

DAVGADORJ, Ariunzul; Ulf LINDSTRÖM a Rikard VON UNGE. New techniques for gauge theories in projective superspace. \textit{Physical review D}. COLLEGE PK: American Physical Society, 2023, roč.~108, č.~6, s.~1-20. ISSN~2470-0010. Dostupné z: https://dx.doi.org/10.1103/PhysRevD.108.066004.

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