BPS Wall in $\mathcal{N} = 2$ SUSY Nonlinear Sigma Model with Eguchi–Hanson Manifold

Arai, Masato; Naganuma, Masashi; Nitta, Muneto; Sakai, Norisuke

doi:10.1142/9789812795106_0018

Cited by 38 publications

(69 citation statements)

References 38 publications

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“…slice corresponds to a path connecting the north pole m = (0, 0, +1) and the south pole m = (0, 0, −1) in the target space, as illustrated in figure 2(a). A U(1) modulus is localized on these domain walls characterizing which point on the equator in the target space a domain wall passes through [66,67]. This U(1) modulus is twisted along the domain wall to satisfy the boundary condition at x 2 = 0 and x 2 = 1.…”

Section: Fractionalized Instantonsmentioning

confidence: 99%

Neutral bions in the ℂ $$ \mathbb{C} $$ P N −1 model

Misumi

Nitta

Sakai

2014

J. High Energ. Phys.

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We study classical configurations in the CP N −1 model on R 1 × S 1 with twisted boundary conditions. We focus on specific configurations composed of multiple fractionalized-instantons, termed "neutral bions", which are identified as "perturbative infrared renormalons" byÜnsal and his collaborators. For Z N twisted boundary conditions, we consider an explicit ansatz corresponding to topologically trivial configurations containing one fractionalized instanton (ν = 1/N ) and one fractionalized anti-instanton (ν = −1/N ) at large separations, and exhibit the attractive interaction between the instanton constituents and how they behave at shorter separations. We show that the bosonic interaction potential between the constituents as a function of both the separation and N is consistent with the standard separated-instanton calculus even from short to large separations, which indicates that the ansatz enables us to study bions and the related physics for a wide range of separations. We also propose different bion ansatze in a certain non-Z N twisted boundary condition corresponding to the "split" vacuum for N = 3 and its extensions for N ≥ 3. We find that the interaction potential has qualitatively the same asymptotic behavior and N -dependence as those of bions for Z N twisted boundary conditions.

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Section: Fractionalized Instantonsmentioning

confidence: 99%

Neutral bions in the ℂ $$ \mathbb{C} $$ P N −1 model

Misumi

Nitta

Sakai

2014

J. High Energ. Phys.

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“…The Kähler quotient for SO(3) with N F flavors reads 75) and it is obtained by solving the following algebraic equations 76) where the definitions are…”

Section: The So(3) Quotientmentioning

confidence: 99%

“…The explicit potentials can be found for instance for T * CP N −1 [74,75], toric hyper-Kähler manifolds [76], [64] and T * F n [21]. In terms of the hyper-Kähler quotients these potentials are obtained as usual masses of hypermultiplets in the corresponding N = 2 supersymmetric gauge theories [64].…”

Section: Identifying Non-normalizable Modesmentioning

confidence: 99%

SO and USp Kähler and hyper-Kähler quotients and lumps

et al. 2009

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We study non-linear σ models whose target spaces are the Higgs phases of supersymmetric SO and U Sp gauge theories by using the Kähler and hyper-Kähler quotient constructions. We obtain the explicit Kähler potentials and develop an expansion formula to make use of the obtained potentials from which we also calculate the curvatures of the manifolds. The 1/2 BPS lumps in the U (1) × SO and U (1) × U Sp Kähler quotients and their effective descriptions are also studied. In this connection, a general relation between moduli spaces of vortices and lumps is discussed. We find a new singular limit of the lumps with non-vanishing sizes in addition to the ordinary small lump singularity. The former is due to the existence of singular submanifolds in the target spaces.

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“…Imposing the second initial condition in (2.9), 20) we are in a position to uniquely express Σ 0 in terms of Σ and Φ,Φ. By construction, Σ is a complex linear superfield constrained as in (1.2).…”

Section: Dynamical Setupmentioning

confidence: 99%

“…The first hyperkähler manifolds that are cotangent bundles of certain complex Grassmannians (generalizations of the Calabi manifolds), were presented in [3]. Lately, massive versions of these and related models have been discussed in [19,20,21,22] using N = 1 superspace and N = 2 harmonic superspace techniques [23]. In addition to these specific examples, some structural results for massive N = 2 sigma models have been obtained in N = 1 superspace [24] and projective superspace [25].…”

mentioning

confidence: 99%

Hyperkähler sigma models on cotangent bundles of Hermitian symmetric spaces using projective superspace

Arai

Kuzenko

Lindström

2007

J. High Energy Phys.

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Kähler manifolds have a natural hyperkähler structure associated with (part of) its cotangent bundle. Using projective superspace, we construct four-dimensional N = 2 models on the tangent bundles of some classical Hermitian symmetric spaces (specifically, the four regular series of irreducible compact symmetric Kähler manifolds, and their non-compact versions). A further dualization yields the Kähler potential for the hyperkähler metric on the cotangent bundle.

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BPS Wall in $\mathcal{N} = 2$ SUSY Nonlinear Sigma Model with Eguchi–Hanson Manifold

Cited by 38 publications

References 38 publications

Neutral bions in the ℂ $$ \mathbb{C} $$ P N −1 model

Neutral bions in the ℂ $$ \mathbb{C} $$ P N −1 model

SO and USp Kähler and hyper-Kähler quotients and lumps

Hyperkähler sigma models on cotangent bundles of Hermitian symmetric spaces using projective superspace

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