Kähler-Ricci flow, Morse theory, and vacuum structure deformation of &lt;i&gt;N&lt;/i&gt; = 1 supersymmetry in four dimensions

Gunara, Bobby Eka; Zen, Freddy P.

doi:10.4310/atmp.2009.v13.n1.a7

Cited by 11 publications

(36 citation statements)

References 21 publications

(55 reference statements)

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“…If the electric and magnetic charges are included in the setup, then the domain walls interpolate two ground states of constant scalar curvature which are not Einstein. These generalize our previous results in neutral domain walls discussed [2][3][4][5][6] in which they connect two Einstein spaces, particularly anti-de Sitter spaces. This paper provides our preliminary results on curved dyonic domain walls of four dimensional Einstein-Maxwell-Higgs theory.…”

Section: Introductionsupporting

confidence: 69%

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Curved Dyonic Domain Walls in Four Dimensions

Gunara¹

2016

Indonesian J Appl Phys

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In this short paper we show the existence of solitonic solutions of four dimensional ungauged N=1 supergravity coupled to arbitrary vector and chiral multiplets whose Ricci scalar curvature is constant. The Ricci scalar of spacetimes indeed depends on the σ-model, namely the complex scalars and their first derivative. Then, we give two explicit models, namely static domain walls and static spherical symmetric black holes which are related to our previous works.Keywords: Einstein-Maxwell-Higgs theory, Ricci Scalar, Domain Walls. ABSTRAKDalam paper ini ditunjukkan eksistensi solusi solitonik dari teori N=1 supergravitasi ungauged berdimensi empat terkopel multiplet vektor dan skalar secara sembarang dimana solusi tersebut mempunyai skalar Ricci konstan. Skalar Ricci tersebut bergantung pada geometri internal medan skalar (σ-model) yang kompleks beserta turunan pertamanya. Kemudian, diberikan dua contoh eksplisit, yaitu domain walls statik dan lubang hitam statik bersimetri bola dimana keduanya berkaitan dengan pekerjaan kami sebelumnya..

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Section: Introductionsupporting

confidence: 69%

“…Since domain wall interpolates between ground states of different "cosmological" constant in the asymptotic limit, both cases are possible are possible. In the context of field theory the results in Theorem 1 describe an uncharged domain wall [2][3][4][5][6] .…”

Section: Methods Curved Domain Wallsmentioning

confidence: 99%

Curved Dyonic Domain Walls in Four Dimensions

Gunara¹

2016

Indonesian J Appl Phys

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“…The matter source d-tensor E Υ αβ = ( E Υ ij , E Υ ab ) in the gravitational part of the above formulae is computed as in (13) for the energy momentum tensor (12) determined by (36), with…”

Section: Geometric Flow Equations With Supersymmetric Su(1 1 + K) Momentioning

confidence: 99%

On supersymmetric geometric flows andR2inflation from scale invariant supergravity

2017

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Models of geometric flows pertaining to R 2 scale invariant (super) gravity theories coupled to conformally invariant matter fields are investigated. Related to this work are supersymmetric scalar manifolds that are isomorphic to the Kählerian spaces M n = SU (1, 1 + k)/U (1) × SU (1 + k) as generalizations of the non-supersymmetric analogs with SO(1, 1 + k)/SO(1 + k) manifolds. For curved superspaces with geometric evolution of physical objects, a complete supersymmetric theory has to be elaborated on nonholonomic (super) manifolds and bundles determined by non-integrable superdistributions with additional constraints on (super) field dynamics and geometric evolution equations. We also consider generalizations of Perelman's functionals using such nonholonomic variables which result in the decoupling of geometric flow equations and Ricci soliton equations with supergravity modifications of the R 2 gravity theory. As such, it is possible to construct exact non-homogeneous and locally anisotropic cosmological solutions for various types of (super) gravity theories modelled as modified Ricci soliton configurations. Such solutions are defined by employing the general ansatz encompassing coefficients of generic off-diagonal metrics and generalized connections that depend generically on all spacetime coordinates. We consider nonholonomic constraints resulting in diagonal homogeneous configurations encoding contributions from possible nonlinear parametric geometric evolution scenarios, off-diagonal interactions and anisotropic polarization/ modification of physical constants. In particular, we analyze small parametric deformations when the underlying scale symmetry is preserved and the nontrivial anisotropic vacuum corresponds to generalized de Sitter spaces. Such configurations may mimic quantum effects whenever transitions to flat space are possible. Our approach allows us to generate solutions with scale violating terms induced by geometric flows, off-diagonal interactions and supersymmetric modifications of effective potentials. We study reconstructing the formalism for (super) geometric flows and modified gravity cosmological scenarios. We also analyze the conditions under which such modified mimetic type theories and solutions reproduce the Starobinsky inflationary models in the double scalar approach.

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“…This section is devoted to review properties of four dimensional N = 1 chiral supergravity on a one-parameter family of Kähler manifolds generated by a Kähler-Ricci soliton [5].…”

Section: N = 1 Chiral Supergravity On Kähler-ricci Solitonmentioning

confidence: 99%

“…Moreover, it has been shown the existence of solutions of the Kähler-Ricci equation with U(n) symmetry on l C n [2,3] and line bundles over l CP n−1 [4]. In the physical context, for example, four dimensional chiral N = 1 supersymmetries on Kähler-Ricci solitons generating a one-parameter family of Kähler manifolds together with their domain wall solutions have been studied by two of the authors in serial papers [5,6,7]. Those works might provide preliminary studies of the Anti de Sitter/Conformal Field Theory (AdS/CFT) correspondence (for a review, see for example [8]) in four dimensions and its evolution on special cases of Kähler-Ricci solitons, namely Kähler-Einstein manifolds, U(n) symmetric cone-dominated Kähler-Ricci solitons on line bundles over l CP n−1 [4], and two dimensional Kähler-Ricci solitons.…”

Section: Introductionmentioning

confidence: 99%

N = 1 supergravity BPS domain walls on Kähler–Ricci soliton

Gunara

Zen

Ariantol

2011

Reports on Mathematical Physics

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This paper provides a study of some aspects of flat and curved BPS domain walls together with their Lorentz invariant vacua of four dimensional chiral N = 1 supergravity. The scalar manifold can be viewed as a one-parameter family of Kähler manifolds generated by a Kähler-Ricci flow equation. Consequently, a vacuum manifold characterized by (m, λ) where m and λ are the dimension and the index of the manifold, respectively, does deform with respect to the flow parameter related to the geometric soliton. Moreover, one has to carry out the renormalization group analysis to verify the existence of such a vacuum manifold in the ultraviolet or infrared regions. At the end, we discuss a simple model with linear superpotential on U(n) symmetric Kähler-Ricci orbifolds.

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Kähler-Ricci flow, Morse theory, and vacuum structure deformation of <i>N</i> = 1 supersymmetry in four dimensions

Cited by 11 publications

References 21 publications

Curved Dyonic Domain Walls in Four Dimensions

Curved Dyonic Domain Walls in Four Dimensions

On supersymmetric geometric flows andR2inflation from scale invariant supergravity

N = 1 supergravity BPS domain walls on Kähler–Ricci soliton

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