Resolving Witten’s superstring field theory

Erler, Theodore; Konopka, Sebastian; Sachs, Ivo

doi:10.1007/jhep04(2014)150

Cited by 88 publications

(253 citation statements)

References 55 publications

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“…A hierarchy of corrections somewhat similar to what we describe here was used in [7] to construct a field theory of the NS sector of superstring theory. Each string field theory diagram parametrizes in a relatively simple way a piece of the moduli space of bosonic Riemann surfaces and comes with a relatively natural choice of PCO insertions suitable for that piece.…”

Section: Jhep09(2015)004mentioning

confidence: 99%

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Filling the gaps with PCO’s

Sen

Witten

2015

J. High Energ. Phys.

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Superstring perturbation theory is traditionally carried out by using picturechanging operators (PCO's) to integrate over odd moduli. Naively the PCO's can be inserted anywhere on a string worldsheet, but actually a constraint must be placed on PCO insertions to avoid spurious singularities. Accordingly, it has been long known that the simplest version of the PCO procedure is valid only locally on the moduli space of Riemann surfaces, and that a correct PCO-based algorithm to compute scattering amplitudes must be based on piecing together local descriptions. Recently, "vertical integration" was proposed as a relatively simple method to do this. Here, we spell out in detail what vertical integration means if carried out systematically. This involves a hierarchical procedure with corrections of high order. One might anticipate such a structure from the viewpoint of super Riemann surfaces.

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Section: Jhep09(2015)004mentioning

confidence: 99%

“…On the boundaries of the parts of moduli space parametrized by different diagrams, the PCO choices do not fit together properly. In [7], a hierarchy of corrections was introduced to compensate for this.…”

Section: Jhep09(2015)004mentioning

confidence: 99%

Filling the gaps with PCO’s

Sen

Witten

2015

J. High Energ. Phys.

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“…Since σ| −1 necessarily produces a Ramond output, one piece of the commutator vanishes against π 0 2 , which only accepts NS inputs. Also, it follows from the construction of the NS open superstring field theory [20] that the cohomomorphism G −1 is cyclic when it produces only NS outputs [3]. In particular this means…”

Section: Jhep05(2017)113mentioning

confidence: 99%

Supersymmetry in open superstring field theory

Erler

2017

J. High Energ. Phys.

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We realize the 16 unbroken supersymmetries on a BPS D-brane as invariances of the action of the corresponding open superstring field theory. We work in the small Hilbert space approach, where a symmetry of the action translates into a symmetry of the associated cyclic A ∞ structure. We compute the supersymmetry algebra, being careful to disentangle the components which produce a translation, a gauge transformation, and a symmetry transformation which vanishes on-shell. Via the minimal model theorem, we illustrate how supersymmetry of the action implies supersymmetry of the tree level open string scattering amplitudes.

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“…In this paper we investigate a different, more algebraic, approach to this problem, motivated by recent studies of superstring field theories [5,6]. Consider an n-point amplitude expressed as an n-fold bra state:…”

Section: Jhep12(2017)112mentioning

confidence: 99%

“…A second goal of our work will be understanding the relationship between the algebraic approach and the conceptually rather different idea of vertical integration. Our motivation is to form a link between Sen's discussion of superstring field theories [9] and other techniques which have been independently developed based on the large Hilbert space [5,6,10]. As investigations continue into quantum effects in superstring field theories [11,12], and in the geometrical formulation based on super-Riemann surfaces [13], it may be useful to have an understanding of the relationship between these approaches.…”

Section: Jhep12(2017)112mentioning

confidence: 99%