Pure Spinor Superstrings on Generic type IIA Supergravity Backgrounds

D'Auria, R.; Fre', P.; Grassi, P. A.; Trigiante, M.

doi:10.48550/arxiv.0803.1703

Cited by 5 publications

(12 citation statements)

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“…This follows the geometric approach to cocycles in supergravity, as in [20] [15]. The algebras for type IIA and type IIB that we obtain may also be found in [14] [17] [61] [21].…”

Section: The Brane Supercocyclesmentioning

confidence: 96%

T-Duality from super Lie $n$-algebra cocycles for super $p$-branes

Fiorenza

Sati

Schreiber³

2018

Advances in Theoretical and Mathematical Physics

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We compute the L ∞ -theoretic double dimensional reduction of the F1/Dp-brane super L ∞cocycles with coefficients in rationalized twisted K-theory from the 10d type IIA and type IIB super Lie algebras down to 9d. We show that the two resulting coefficient L ∞ -algebras are naturally related by an L ∞ -isomorphism which we find to act on the super p-brane cocycles by the infinitesimal version of the rules of topological T-duality and inducing an isomorphism between K 0 -cocycles in type IIA and K 1 -cocycles in type IIB, rationally. In particular this is a derivation of the Buscher rules for RR-fields (Hori's formula) from first principles. Moreover, we show that these L ∞ -algebras are the homotopy quotients of the RR-charge coefficients by the "T-duality Lie 2-algebra". We find that the induced L ∞ -extension is a gerby extension of a 9 + (1 + 1) dimensional (i.e. "doubled") T-duality correspondence super-spacetime, which serves as a local model for T-folds. We observe that this still extends, via the D0-brane cocycle of its type IIA factor, to a 10 + (1 + 1)-dimensional super Lie algebra. Finally we show that this satisfies expected properties of a local model space for F-theory elliptic fibrations.

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“…This follows the geometric approach to cocycles in supergravity, as in [20] [15]. The algebras for type IIA and type IIB that we obtain may also be found in [14] [17] [61] [21].…”

Section: The Brane Supercocyclesmentioning

confidence: 96%

T-Duality from super Lie $n$-algebra cocycles for super $p$-branes

Fiorenza

Sati

Schreiber³

2018

Advances in Theoretical and Mathematical Physics

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“…For further discussions see [5], [6], [7]. Alternatively, starting from an extended free differential algebra of the superspace geometry [8], [9], [10], one can add to the GS action conformal invariant terms involving d L/R and ghosts to promote the κ-symmetry of the GS approach to BRS symmetry [9], [10] following a method proposed in [11] for the heterotic case.…”

Section: Introductionmentioning

confidence: 99%

On Semiclassical Equivalence of Green-Schwarz and Pure Spinor Strings in AdS(5) x S(5)

Tonin

2013

Preprint

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We present a method to study the equivalence at the semiclassical level of the Green-Schwarz and pure spinor formulations of String Theory in AdS(5) × S(5). This method provides a clear separation of the physical and unphysical sectors of the pure spinor formulation and allows to prove that the two models have not only equal spectra of the fermionic fluctuations but also equal conformal weights (the bosonic ones being equal by construction).

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“…An attempt was also made to describe the membrane in a similar way but this is as yet not fully understood [9], while d = 11 pure spinors have also been used to describe superparticles and topological M-theory [10,11]. Supergravity constraints and pure spinors in d = 10 and d = 11 have recently been discussed from the perspective of free differential algebras [12,13,14,15]. Pure spinors also arise naturally in the cohomology of superspace, called spinorial cohomology in [16].…”

Section: Introductionmentioning

confidence: 99%

The cohomology of superspace, pure spinors and invariant integrals

Berkovits

Howe

2008

J. High Energy Phys.

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The superform construction of supersymmetric invariants, which consists of integrating the top component of a closed superform over spacetime, is reviewed. The cohomological methods necessary for the analysis of closed superforms are discussed and some further theoretical developments presented. The method is applied to higher-order corrections in heterotic string theory up to α ′3 . Some partial results on N = 2, d = 10 and N = 1, d = 11 are also given.

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Pure Spinor Superstrings on Generic type IIA Supergravity Backgrounds

Cited by 5 publications

References 0 publications

T-Duality from super Lie $n$-algebra cocycles for super $p$-branes

T-Duality from super Lie $n$-algebra cocycles for super $p$-branes

On Semiclassical Equivalence of Green-Schwarz and Pure Spinor Strings in AdS(5) x S(5)

The cohomology of superspace, pure spinors and invariant integrals

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