The mostly BRST exact operator in superstrings

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F25%3A00617684" target="_blank" >RIV/68378271:_____/25:00617684 - isvavai.cz</a>

Výsledek na webu

<a href="https://hdl.handle.net/11104/0375572" target="_blank" >https://hdl.handle.net/11104/0375572</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/JHEP02(2025)129" target="_blank" >10.1007/JHEP02(2025)129</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The mostly BRST exact operator in superstrings

Popis výsledku v původním jazyce

A careful gauge fixing of the conformal killing group (CKG) on genus zero surfaces in bosonic string theory gives non-vanishing two point amplitudes that match the corresponding field theory expressions [1, 2]. An important ingredient for gauge fixing two point amplitudes in [2] was the mostly BRST (mBRST) exact operator. The utility of this operator in gauge fixing CKG perhaps is not just limited to two point amplitudes — we can insert a mBRST exact operator to fix a conformal killing vector (CKV) instead of fixing the position of a vertex operator in a general tree level bosonic string amplitude [3, 4].Using the mBRST exact operator, written in the pure spinor variables, we get the expected two point superstring amplitudes [5]. In this work we explore if it is possible to use this operator for fixing CKG for general tree level amplitudes in superstrings. We find it to be the case by explicitly re-calculating the three gluon amplitude in open strings by making use of this operator. Finally, we show that this operator directly emerges by following a Faddeev-Popov gauge fixing method in bosonic string theory. This derivation is independent of the number of external strings, thus proving the above claim.

Název v anglickém jazyce

The mostly BRST exact operator in superstrings

Popis výsledku anglicky

A careful gauge fixing of the conformal killing group (CKG) on genus zero surfaces in bosonic string theory gives non-vanishing two point amplitudes that match the corresponding field theory expressions [1, 2]. An important ingredient for gauge fixing two point amplitudes in [2] was the mostly BRST (mBRST) exact operator. The utility of this operator in gauge fixing CKG perhaps is not just limited to two point amplitudes — we can insert a mBRST exact operator to fix a conformal killing vector (CKV) instead of fixing the position of a vertex operator in a general tree level bosonic string amplitude [3, 4].Using the mBRST exact operator, written in the pure spinor variables, we get the expected two point superstring amplitudes [5]. In this work we explore if it is possible to use this operator for fixing CKG for general tree level amplitudes in superstrings. We find it to be the case by explicitly re-calculating the three gluon amplitude in open strings by making use of this operator. Finally, we show that this operator directly emerges by following a Faddeev-Popov gauge fixing method in bosonic string theory. This derivation is independent of the number of external strings, thus proving the above claim.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Journal of High Energy Physics

ISSN

1029-8479

e-ISSN

1029-8479

Svazek periodika

2025

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

25

Strana od-do

129

Kód UT WoS článku

001427146700001

EID výsledku v databázi Scopus

2-s2.0-86000022095