D-branes in<i>N</i>= 2 strings

Glück, Dan; Oz, Yaron; Sakai, Tadakatsu

doi:10.1088/1126-6708/2003/08/055

Cited by 9 publications

(20 citation statements)

References 25 publications

(55 reference statements)

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“…Scattering amplitudes of untwisted states in the presence of D-branes are identical to those found in [7] 1 , with the appropriate Z 2 invariance taken into account. Thus, instead of each string of momentum p, one sums up the amplitudes for a string of momentum p and the amplitudes for a string of momentum −p.…”

Section: Other Amplitudessupporting

confidence: 54%

“…The consistent D-branes of closed N = 2 strings are of the types (0 + 0), (2 + 0), (0 + 2) and (2 + 2) branes in (2, 2) signature and 0-branes, 2-branes and 4-branes in (4, 0) signature (see [7] for details and [18] for an earlier work on D-branes in the unorbifolded N = 2 string). In this section we calculate scattering amplitudes of the orbifold theory in the presence of a D-brane located at a fixed point.…”

Section: D-branes In the N = 2 Orbifoldmentioning

confidence: 99%

“…The coupling of a single u to a D-brane is computed in [7] and found to be given by a constant. Recall also that the off-shell ttu vertex assumed to be constant as well.…”

Section: Two Twisted States Scattering Off D-branesmentioning

confidence: 99%

“…In lower dimensional branes the unorbifolded world volume theory is a dimensional reduction of self-dual Yang-Mills [7]. However, due to (4.10) A i vanish in all directions perpendicular to the brane, so that there are no worldvolume fields that correspond to these directions.…”

Section: Lower Dimensional Branesmentioning

confidence: 99%

“…The α strings effective action has been constructed in [5], where it was shown that the target space dynamics is that of self-dual (curvature) four-manifolds with torsion [6]. D-branes in the N = 2 strings have been analyzed in [4,7]. N = 2 strings have global N = 4 worldsheet supersymmetry [8].…”

Section: Introductionmentioning

confidence: 99%

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N= 2 strings on orbifolds

Glück¹,

Oz²,

Sakai³

2005

J. High Energy Phys.

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Section: Other Amplitudessupporting

confidence: 54%

Section: D-branes In the N = 2 Orbifoldmentioning

confidence: 99%

“…The coupling of a single u to a D-brane is computed in [7] and found to be given by a constant. Recall also that the off-shell ttu vertex assumed to be constant as well.…”

Section: Two Twisted States Scattering Off D-branesmentioning

confidence: 99%

Section: Lower Dimensional Branesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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N= 2 strings on orbifolds

Glück¹,

Oz²,

Sakai³

2005

J. High Energy Phys.

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Multi-soliton dynamics of anti-self-dual gauge fields

Hamanaka

Huang

2022

J. High Energ. Phys.

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We study dynamics of multi-soliton solutions of anti-self-dual Yang-Mills equations for G = GL(2, ℂ) in four-dimensional spaces. The one-soliton solution can be interpreted as a codimension-one soliton in four-dimensional spaces because the principal peak of action density localizes on a three-dimensional hyperplane. We call it the soliton wall. We prove that in the asymptotic region, the n-soliton solution possesses n isolated localized lumps of action density, and interpret it as n intersecting soliton walls. More precisely, each action density lump is essentially the same as a soliton wall because it preserves its shape and “velocity” except for a position shift of principal peak in the scattering process. The position shift results from the nonlinear interactions of the multi-solitons and is called the phase shift. We calculate the phase shift factors explicitly and find that the action densities can be real-valued in three kind of signatures. Finally, we show that the gauge group can be G = SU(2) in the Ultrahyperbolic space 𝕌 (the split signature (+, +, −, −)). This implies that the intersecting soliton walls could be realized in all region in N=2 string theories. It is remarkable that quasideterminants dramatically simplify the calculations and proofs.

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Little string theory and heterotic/type II duality

et al. 2004

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Little String Theory (LST) is a still somewhat mysterious theory that describes the dynamics near a certain class of time-like singularities in string theory. In this paper we discuss the topological version of LST, which describes topological strings near these singularities. For 5 + 1 dimensional LSTs with sixteen supercharges, the topological version may be described holographically in terms of the N = 4 topological string (or the N = 2 string) on the transverse part of the near-horizon geometry of N S5-branes. We show that this topological string can be used to efficiently compute the half-BPS F 4 terms in the lowenergy effective action of the LST. Using the strong-weak coupling string duality relating type IIA strings on K3 and heterotic strings on T 4 , the same terms may also be computed in the heterotic string near a point of enhanced gauge symmetry. We study the F 4 terms in the heterotic string and in the LST, and show that they have the same structure, and that they agree in the cases for which we compute both of them. We also clarify some additional issues, such as the definition and role of normalizable modes in holographic linear dilaton backgrounds, the precise identifications of vertex operators in these backgrounds with states and operators in the supersymmetric Yang-Mills theory that arises in the low energy limit of LST, and the normalization of two-point functions.In this paper we focus on the most symmetric LSTs, which are 5 + 1 dimensional theories with sixteen supercharges (N = (1, 1) supersymmetry in six dimensions). These theories arise from decoupling limits of type IIA strings on ALE spaces (non-compact K3 manifolds that arise by blowing up the geometry in the vicinity of ADE singularities of compact K3 surfaces), or from decoupling limits of type IIB N S5-branes in flat space.The holographic description of these theories is given by string theory on the near-horizon geometry of N S5-branes, the CHS background [16]. The discussion above suggests that the N = 2 string on the CHS background is holographically dual to a topological version of the corresponding LST. In this paper we investigate this suggestion.Before taking any decoupling limits, the topological string computes various amplitudes which are protected by supersymmetry in the full type II string theory [9]. These correspond to the coefficients of specific terms in the low-energy effective action of the theory. It is interesting to ask what do correlation functions in the topological version of LST compute. In general, LSTs are known to have operators which are defined off-shell, and the physical observables are Green's functions of these operators. This is different from critical string theory, in which the observables are on-shell S-matrix elements. The discussion above suggests that there should be some sub-class of the correlation functions of the off-shell observables of LST which is topological in nature, and which is computed by the topological LST. One way to derive this sub-class is by taking a limit of the topological...

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D-branes inN= 2 strings

Cited by 9 publications

References 25 publications

N= 2 strings on orbifolds

N= 2 strings on orbifolds

Multi-soliton dynamics of anti-self-dual gauge fields

Little string theory and heterotic/type II duality

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