Strong evidence in favor of the existence of S-matrix for strings in plane waves

Bak, Dongsu; Sheikh-Jabbari, M. M.

doi:10.1088/1126-6708/2003/02/019

Cited by 9 publications

(24 citation statements)

References 24 publications

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“…where the factor b + 1 denotes the quantum correction which comes from the regularization of mode sum of n . Note that the contribution of the factor b + 1 does not appear in the tree level calculation [25,26]. This result agrees with the 1-loop effective potential with V (φ) = m 2 φ 2 /2 that is obtained by using the path integral method [21] .…”

Section: Computation Of the Vacuum Energysupporting

confidence: 84%

Discrete light-cone quantization in pp-wave background

Uzawa

Yoshida

2005

Physics Letters B

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We discuss the discrete light-cone quantization (DLCQ) of a scalar field theory on the maximally supersymmetric pp-wave background in ten dimensions. It has been shown that the DLCQ can be carried out in the same way as in the two-dimensional Minkowski spacetime.Then, the vacuum energy is computed by evaluating the vacuum expectation value of the light-cone Hamiltonian. The results are consistent with the effective potential obtained in our previous work [hep-th/0402028].

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Section: Computation Of the Vacuum Energysupporting

confidence: 84%

Discrete light-cone quantization in pp-wave background

Uzawa

Yoshida

2005

Physics Letters B

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“…For further aspects of string interactions and the duality to SYM see e.g. [46,47,48,49,50,51,52,53,54,55,56,57]. In spite of this success there remains a puzzle concerning the correct approach to light-cone string field theory on the plane wave background.…”

Section: )mentioning

confidence: 99%

An alternative formulation of light-cone string field theory on the plane wave

Pankiewicz¹

2003

J. High Energy Phys.

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We construct a manifestly SO(4) × SO(4) invariant, supersymmetric extension of the closed string cubic interaction vertex and dynamical supercharges in light-cone string field theory on the plane wave space-time. We find that the effective vertex for states built out of bosonic creation oscillators coincides with the one previously constructed in the SO(8) formalism and conjecture that in general the two formulations are physically equivalent. Further evidence for this claim is obtained from the discrete Z Z 2 -symmetry of the plane wave and by computing the mass-shift of the simplest stringy state using perturbation theory. We verify that the leading non-planar correction to the anomalous dimension of the dual gauge theory operators is correctly recovered. *

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“…For the case of strings on the plane-wave, however, because of the "harmonic oscillator potential" (arising from the (dx + ) 2 term in metric once the light-cone gauge is employed) in a sense the situation is very similar to a compactification on an eight dimensional manifold [22]. To see this more concretely, let us consider a scalar field theory on the ten dimensional plane-wave [23]. The classical equations of the scalar field, once the interaction terms are turned off, can be exactly solved and the dependence of the wavefunction on the transverse coordinates is given in terms of harmonic oscillator wavefunctions, or Hermit polynomials while it is like a free particle moving in the x + and x − directions [23].…”

Section: Effective Closed String Coupling In the Plane-wavesmentioning

confidence: 99%

“…In order to read off the effective coupling of strings, or the effective Newton constant (of course as explained above in the two dimensional sense) one should work out the "effective" compactification volume in the plane-wave background. As discussed in [23] one should insert a factor of (1/ √ µp + ) d , where d is the number of transverse directions, for the plane-wave background d = 8. From this, noting that in the string frame (and in string units) G In the plane-wave analysis, however, motivated by the dual gauge theory computations, it has been more customary to use g 2 instead, where g 2 2 ≡ G…”

Section: Effective Closed String Coupling In the Plane-wavesmentioning

confidence: 99%

Squashed Giants: Bound States of Giant Gravitons

Prokushkin¹,

Sheikh-Jabbari²

2004

J. High Energy Phys.

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We consider giant gravitons in the maximally supersymmetric type IIB planewave, in the presence of a constant NSNS B-field background. We show that in response to the background B-field the giant graviton would take the shape of a deformed three-sphere, the size and shape of which depend on the B-field, and that the giant becomes classically unstable once the B-field is larger than a critical value B cr . In particular, for the B-field which is (anti-)self-dual under the SO(4) isometry of the original giant S 3 , the closed string metric is that of a round S 3 , while the open string metric is a squashed three-sphere. The squashed giant can be interpreted as a bound state of a spherical three-brane and circular D-strings. We work out the spectrum of geometric fluctuations of the squashed giant and study its stability . We also comment on the gauge theory which lives on the brane (which is generically a noncommutative theory) and a possible dual gauge theory description of the deformed giant.

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Strong evidence in favor of the existence of S-matrix for strings in plane waves

Cited by 9 publications

References 24 publications

Discrete light-cone quantization in pp-wave background

Discrete light-cone quantization in pp-wave background

An alternative formulation of light-cone string field theory on the plane wave

Squashed Giants: Bound States of Giant Gravitons

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