Relating the b ghost and the vertex operators of the pure spinor superstring

Chandı́a, Osvaldo; Vallilo, Brenno Carlini

doi:10.1007/jhep03(2021)165

Cited by 4 publications

(2 citation statements)

References 31 publications

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“…This is nothing but the pure spinor integrated vertex operator. A similar result has recently been obtained in [34] from a brute-force approach. The application of these ideas to the chiral case is immediate.…”

Section: Integrated Vertex Operatorssupporting

confidence: 87%

Green-Schwarz and pure spinor formulations of chiral strings

Guillen

2021

J. High Energ. Phys.

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Bosonic and RNS chiral strings have been defined from a singular gauge fixing of the respective Polyakov and spinning string actions, enforcing, among other things, the finite nature of their physical spectra. Except for the heterotic case, the tensionless limits of such chiral models have been shown to describe the same field theories predicted by their ambitwistor analogues. In this paper, we study the Green-Schwarz formulation for Type II and heterotic superstrings in a singular gauge. After performing a light-cone gauge analysis, their physical spectra are shown to match those of RNS chiral strings, and their respective tensionless limits are found to describe the same field theories predicted by RNS ambitwistor strings. Their pure spinor counterparts are then introduced by making use of the Oda-Tonin method. In doing so, symmetries hidden in the pure spinor ambitwistor string action become manifest, proposals motivating the sectorized pure spinor BRST charges find simple grounds, and integrated vertex operators emerge naturally.

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Section: Integrated Vertex Operatorssupporting

confidence: 87%

Green-Schwarz and pure spinor formulations of chiral strings

Guillen

2021

J. High Energ. Phys.

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“…The construction and examination of the b operator (mainly for

D=10

super‐Yang–Mills theory and

D=11

supergravity) has been the subject of many papers, [ 9–20 ] mainly because this and similar issues is where the pure spinor superfield formalism becomes more complicated. In the present letter, we will work in

D=10

super‐Yang–Mills theory, although analogous minimal operators should always exist.…”

Section: The Non‐minimal B Operatormentioning

confidence: 99%

A Minimal b Ghost

Cederwall

2023

Fortschritte der Physik

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The b ghost, or b operator, used for fixing Siegel gauge in the pure spinor superfield formalism, is a composite operator of negative ghost number, satisfying {q, b} = □, where q is the pure spinor differential (BRST operator). It is traditionally constructed using non-minimal variables. However, since all cohomology has minimal representatives, it seems likely that there should be versions of physically meaningful operators, also with negative ghost number, using only minimal variables. The purpose of this letter is to demonstrate that this statement holds by providing a concrete construction in D = 10 super-Yang-Mills theory, and to argue that it is a general feature in the pure spinor superfield formalism.

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