D-brane boundary states in the pure spinor superstring

Schiappa, Ricardo; Wyllard, Niclas

doi:10.1088/1126-6708/2005/07/070

Cited by 19 publications

(16 citation statements)

References 48 publications

(171 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…mn and F (4) mnpq are some possible products of any number of vector field strengths F mn ‡ , which is consistent with analysis for D-brane boundary states [26] from the viewpoint of the pure spinor closed superstring. Needless to say, the V is invariant under the N = 1 supersymmetry.…”

Section: Background Superfield Coupling For Dp-branessupporting

confidence: 84%

Supersymmetric DBI equations in diverse dimensions from the BRS invariance of a pure spinor superstring

Hanazawa

Sakaguchi

2019

Phys. Rev. D

View full text Add to dashboard Cite

We examine the BRS invariance of the open pure spinor superstring in the presence of background superfields on a Dp-brane. It is shown that the BRS invariance leads not only to boundary conditions on the spacetime spinors, but also to supersymmetric DBI equations of motion for the background superfields on the Dp-brane. These DBI equations are consistent with the supersymmetric DBI equations for a D9-brane. background fields should satisfy full non-linear equations of motion for a supersymmetric DBI action. Non-abelian extension of this formalism is discussed in [7] as the boundary fermion formalism where Chan-Patton factors describing coincident D-branes are replaced by boundary fermions * . Unlike the formulations mentioned above, the pure spinor formulation [23] enables us to quantize a superstring in a super-Poincaré covariant manner. In this formulation, the κ-symmetry in the GS formulation is replaced with the BRS symmetry. It is shown in [24], correspondingly to the κ-symmetry analysis [6], that the classical BRS invariance of an open pure spinor superstring leads to supersymmetric DBI equations of motion on a D9-brane, which have the non-linear N = 1 supersymmetry as well as the manifest N = 1 supersymmetry. These equations precisely coincide with those obtained in the superembedding formalism [25]. Furthermore, the non-abelian extension of supersymmetric DBI equations is proposed. In [26] (see also [27] and [28]), D-brane boundary states are constructed in the pure spinor formulation. Especially, calculating the disk scattering amplitude suggests that the coupling of the boundary state to the background fields will reproduce the DBI kinetic term and the Wess-Zumino term of the D9-brane effective action. These achievements might imply the fact that the low-energy effective theory on the D9-brane is determined uniquely by the ten-dimensional N = 2 supersymmetry.In this paper we will derive supersymmetric DBI equations of motion on a Dp-brane, as well as a D9-brane, from the BRS invariance of the open pure spinor superstring. Our approach is similar to that taken in [24] for a D9-brane. However the inclusion of Dirichlet components requires improvements which are not just a dimensional reduction of the case of a D9-brane. As in [24], we will provide two boundary terms, the counter term S b for the N = 1 supersymmetry transformation of the world-sheet action S 0 and the background superfield coupling V as a relevant extension of the pure spinor vertex operator. It is found that the contribution of Dirichlet components in them cannot be determined unless considering the BRS invariance. In [24], by using non-trivial boundary conditions given by the general variation of S 0 +S b +V , the BRS charge conservation leads to supersymmetric DBI equations for the D9-brane. On the other hand, we will show that supersymmetric DBI equations in diverse dimensions are extracted only from the BRS transformation of S 0 + S b + V under an identification on the D-brane position.This paper is organized as follows. In section 2,...

show abstract

Section: Background Superfield Coupling For Dp-branessupporting

confidence: 84%

Supersymmetric DBI equations in diverse dimensions from the BRS invariance of a pure spinor superstring

Hanazawa

Sakaguchi

2019

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…For GSO(−) states, it does not appear to be possible to construct vertex operators in the original pure spinor formalism without the non-minimal ( β + , γ + ) fields [13] [14].…”

Section: Gso(−) Vertex Operatorsmentioning

confidence: 99%

Explaining the pure spinor formalism for the superstring

Berkovits

2008

J. High Energy Phys.

View full text Add to dashboard Cite

After adding a pair of non-minimal fields and performing a similarity transformation, the BRST operator in the pure spinor formalism is expressed as a conventionallooking BRST operator involving the Virasoro constraint and (b, c) ghosts, together with 12 fermionic constraints. This BRST operator can be obtained by gauge-fixing the Green-Schwarz superstring where the 8 first-class and 8 second-class Green-Schwarz constraints are combined into 12 first-class constraints. Alternatively, the pure spinor BRST operator can be obtained from the RNS formalism by twisting the ten spin-half RNS fermions into five spin-one and five spin-zero fermions, and using the SO(10)/U (5) pure spinor variables to parameterize the different ways of twisting. GSO(−) vertex operators in the pure spinor formalism are constructed using spin fields and picture-changing operators in a manner analogous to Ramond vertex operators in the RNS formalism.

show abstract

“…The subject has also been discussed in the pure spinor approach to string theory. In particular, Berkovits and Pershin derived some terms involving non-abelian fields in the background of a single brane using boundary fermions to represent Chan-Paton factors and working at the classical level with respect to these fields [36] (see also [37]). The idea of using boundary fermions in this way was introduced by [38] and studied further in [39,40].…”

Section: Introductionmentioning

confidence: 99%

Superstrings with boundary fermions

Howe

Lindström

Wulff

2005

J. High Energy Phys.

View full text Add to dashboard Cite

The Green-Schwarz action for an open superstring with additional boundary fermions, representing Chan-Paton factors, is studied at the classical level. The boundary geometry is described by a bundle M , with fermionic fibres, over the super worldvolume M of a D-brane together with a map from M into the N = 2, D = 10 target superspace M . This geometry is constrained by the requirement of kappa-symmetry on the boundary together with the use of the equations of motion for the fermions. There are two constraints which are formally similar to those that arise in the abelian case but which differ because of the dependence on the additional coordinates. The model, when quantised, would be a candidate for a fully kappa-symmetric theory of a stack of coincident D-branes including a non-abelian Born-Infeld sector. The example of the D9-brane in a flat background is studied. The constraints on the non-abelian field strength are shown to be in agreement with those derived from the pure spinor approach to the superstring. A covariant formalism is developed and the problem of quantisation is discussed.

show abstract

D-brane boundary states in the pure spinor superstring

Cited by 19 publications

References 48 publications

Supersymmetric DBI equations in diverse dimensions from the BRS invariance of a pure spinor superstring

Supersymmetric DBI equations in diverse dimensions from the BRS invariance of a pure spinor superstring

Explaining the pure spinor formalism for the superstring

Superstrings with boundary fermions

Contact Info

Product

Resources

About