Three-reggeon light-cone vertex of the Neveu-Schwarz string

doi:10.1016/0550-3213(87)90068-X

Nuclear Physics B

Volume 293, 1987, Pages 189-214

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Abstract

We construct in the superfield formalism the vertex operator corresponding to the most general physical state of the Neveu-Schwarz model. These vertex operators are then used to compute the on-shell three-reggeon vertex.

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Cited by (27)

String coherent vertex operators of Neveu-Schwarz and Ramond states
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Citation Excerpt :
Some work regarding the study of the physical spectrum has been done also in the case of non critical strings, both bosonic and fermionic, and also for the massive string [18–21]. The power of the DDF operators emerges also in the computation of string scattering amplitudes such as in the work [22] for the representation of multistates scattering amplitudes in bosonic string, [23,24] for the explicit computation of three-point amplitude of arbitrarily massive states still in bosonic string and [25] for the generalization of the three-point amplitude in the Neveu-Schwartz model. Finally recent progress, using different contextualizations of the DDF operators, has been done in [26] for the decay of macroscopic strings and in [27] for the computation of three and four-point scattering amplitudes involving the open bosonic coherent states constructed in [16,17] finding a new saddle point in the Veneziano-like amplitudes.
We present a compact expression for a coherent vertex operator in superstring theory, in the Neveu-Schwarz sector, that can be easily extended to the Ramond sector by supersymmetric transformations in target space. We give also an explicit construction for the Ramond coherent vertex operator. These constructions provide the use of the supersymmetric version of the Del Giudice-Di Vecchia-Fubini operators and Operator Product Expansion techniques, displaying manifest BRST invariance and after normal ordering also manifest covariance. As a consistency check we compute tree level three-point scattering amplitudes involving Neveu-Schwarz coherent vertex operators in different superghost pictures. Extending these results to the closed superstring, we give the expressions of the coherent vertex operators in the case of type IIA and IIB theories.
DDF operators, open string coherent states and their scattering amplitudes
2020, Nuclear Physics B
Citation Excerpt :
A possible way out is to rely on the time-honoured Del Giudice, Di Vecchia and Fubini (DDF) operators [71,72], that produce BRST invariant states by construction. Three-point amplitudes have been studied and the three-Reggeon Vertex has been derived for bosonic strings [73,74] as well as for the Neveu-Schwarz sector of the superstring [75]. In the past ten years or so, the DDF approach and the construction of macroscopic ‘coherent’ states of strings has been revived in connection with cosmic strings,1 [77–79], including applications to the decay of macroscopic strings [80] and to the generating function for highly excited strings [81].
We study interactions of string coherent states in the DDF (after Di Vecchia, Del Giudice, Fubini) formalism. For simplicity we focus on open bosonic strings. After reviewing basic properties of DDF operators and of excited open strings, we present some classical profiles and show how they become more and more compact as the number of harmonics increases at fixed mass. We then compute various three- and four-point amplitudes with insertions of coherent states, tachyons and vector bosons on the boundary of the disk relying on a convenient choice of reference null momenta. We find that the amplitudes exponentiate in a rather subtle and interesting way. We then study the high-energy fixed-angle limit, dominated by a saddle-point when coherent states are present, and the soft behaviour as the momentum of a vector boson is taken to zero. We briefly comment on generalisation of our analysis to multiple intersecting and magnetised D-branes and to closed strings.
Holographic cubic vertex in the pp-wave
2005, Nuclear Physics B
We revisit the cubic interaction of IIB string theory in the maximally supersymmetric pp-wave background. In the supergravity limit, we show that detailed comparison with AdS supergravity determines the vertex completely. Extension of this supergravity vertex to the full string theory leads to a new cubic vertex that combines the previous proposals and contains additional terms. We give an alternative derivation of the holographic duality map in supergravity, first found by Dobashi and Yoneya (hep-th/0406225) and show that our new vertex is consistent with it. We compare some non-BPS amplitudes (including impurity non-preserving ones) with the corresponding field theory correlators, and discuss what they imply for the stringy generalization of the duality map. We also notice that our vertex realizes the $U {(1)}_{Y}$ symmetry linearly, and propose a similar modification for the flat space vertex.
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Supersheet functional integration and the interacting Neveu-Schwarz string
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By extending the string world-sheet to a supersheet, the functional integration formaslism of Mandelstam for the Neveu-Schwarz string is simplified consiiderably. After giving a corrected proof showing this new supersheet formalism to be equivalent to the old formalism of Mandelstam, the tree-level scattering amplitudes for excited Neveu-Schwarzsstrings are calculated in the light-cone gauge. The volume element is evaluated using methods that will be useful in any future multiloop amplitude calculations.

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Three-reggeon light-cone vertex of the Neveu-Schwarz string

Abstract

Ann. of Phys.

Nucl. Phys.

Phys. Rev.

Nucl. Phys.

Nucl. Phys.

Nucl. Phys.

Phys. Lett.

Nucl. Phys.

Phys. Lett.

Phys. Lett.

Phys. Lett.

Nucl. Phys.