Multicentre metrics and harmonic superspace

Gibbons, G. W.; Olivier, Dominique; Ruback, P.J.; Valent, Galliano

doi:10.1016/0550-3213(88)90039-9

Cited by 37 publications

(75 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the end of subsection 3.3, we briefly review how to solve the constraint (3.26), and rewrite the bosonic part (3.24) of the action (C.31) by independent variables as (3.58). It is found that the target metric in field space of the action (3.58) coincides with the Eguchi-Hanson metric [20,28,35].…”

Section: C2 the Massive T * Cp 1 Modelmentioning

confidence: 97%

“…It is found that the target metric of the action (3.58) is just the Eguchi-Hanson metric [20,28,35].…”

Section: Bps Equation and Its Solutionsmentioning

confidence: 99%

“…It was proved that the target metric for the four independent bosonic fields is just the EguchiHanson metric [20,28,35]. To see that the dimension of the physical boson manifold equals four, one should take into account that the constraint in (3.24)…”

Section: Massive Hk Sigma Model On Eguchi-hanson Spacementioning

confidence: 99%

“…The SU(2) R transformation allows us to choose ξ (11) = ξ (22) = 0 and ξ (12) = −iξ (ξ ∈ R, ξ > 0) without loss of generality 12 . It is most convenient to introduce independent fields z α ,z α , α = 1, 2 through the following Ansatz [21,35] 36) with the constraint…”

Section: Bps Equation and Its Solutionsmentioning

confidence: 99%

See 3 more Smart Citations

Manifest supersymmetry for BPS walls in =2 nonlinear sigma models

et al. 2003

View full text Add to dashboard Cite

BPS equations and wall solutions are studied keeping (part of) supersymmetry (SUSY) manifest. Using N = 1 superfields, massive hyperKähler quotient is introduced to obtain massive N = 2 (8 SUSY) nonlinear sigma models in four dimensions with T * CP n target manifold, which yield BPS wall solutions for the n = 1 case. We also describe massive hyper-Kähler quotient of T * CP n by using the harmonic superspace formalism which preserves all SUSY manifestly, and BPS equations and wall solutions are obtained in the n = 1 case.

show abstract

Section: C2 the Massive T * Cp 1 Modelmentioning

confidence: 97%

“…It is found that the target metric of the action (3.58) is just the Eguchi-Hanson metric [20,28,35].…”

Section: Bps Equation and Its Solutionsmentioning

confidence: 99%

Section: Massive Hk Sigma Model On Eguchi-hanson Spacementioning

confidence: 99%

Section: Bps Equation and Its Solutionsmentioning

confidence: 99%

See 2 more Smart Citations

Manifest supersymmetry for BPS walls in =2 nonlinear sigma models

et al. 2003

View full text Add to dashboard Cite

show abstract

“…Otherwise, the hyper-Kähler limit may not exist. Given an U(1) × U(1) isometry of the hyper-Kähler metric under consideration, the existence of a translational (or tri-holomorphic) isometry does not pose a problem, since there always exists a linear combination of two commuting abelian isometries which is tri-holomorphic [33]. Some explicit examples of the correspondence between four-dimensional hyper-Kähler and quaternionic metrics were derived, e.g., in refs.…”

Section: According To Lebrun [28] a Scalar-flat Kähler Metric Is Hypmentioning

confidence: 99%

Summing up D-instantons in N=2 supergravity

Ketov

2003

Nuclear Physics B

View full text Add to dashboard Cite

The non-perturbative quantum geometry of the Universal Hypermultiplet (UH) is investigated in N=2 supergravity. The UH low-energy effective action is given by the four-dimensional quaternionic non-linear sigma-model having an U(1) × U(1) isometry. The UH metric is governed by the single real pre-potential that is an eigenfunction of the Laplacian in the hyperbolic plane. We calculate the classical prepotential corresponding to the standard (Ferrara-Sabharwal) metric of the UH arising in the Calabi-Yau compactification of type-II superstrings. The non-perturbative quaternionic metric, describing the D-instanton contributions to the UH geometry, is found by requiring the SL(2, Z) modular invariance of the UH pre-potential. The prepotential found is unique, while it coincides with the D-instanton function of Green and Gutperle, given by the order-3/2 Eisenstein series. As a by-product, we prove cluster decomposition of D-instantons in curved spacetime. The non-perturbative UH pre-potential interpolates between the perturbative (large CY volume) region and the superconformal (Landau-Ginzburg) region in the UH moduli space. We also calculate a non-perturbative scalar potential in the hyper-Kähler limit, when an abelian isometry of the UH metric is gauged in the presence of D-instantons.

show abstract

Untitled

Ketov

1999

Fortschr. Phys.

View full text Add to dashboard Cite

Exact solutions to the low‐energy effective action (LEEA) of the four‐dimensional N = 2 supersymmetric gauge theories are known to be obtained either by quantum field theory methods from S‐duality in the Seiberg‐Witten approach, or by the Type‐IIA superstring/M‐Theory methods of brane technology. After a brief review of the standard field‐theoretical results for the N = 2 gauge (Seiberg‐Witten) LEEA, we consider a field‐theoretical derivation of the exact hypermultiplet LEEA by using the N = 2 harmonic superspace methods. We illustrate our techniques on a number of explicit examples. Our main purpose, however, is to discuss the existing analytical (calculational) support for the alternative methods of brane technology. We summarize known exact solutions to the eleven‐dimensional and ten‐dimensional type‐IIA supergravities, which describe classical configurations of intersecting BPS branes with eight supercharges relevant to the non‐perturbative N = 2 gauge theory with fundamental hypermultiplet matter. The crucial role of the M‐Theory in providing a classical resolution of singularities in the ten‐dimensional (Type‐IIA superstring) brane picture, as well as the N = 2 extended supersymmetry in four dimensions, are made manifest. The two approaches to a derivation of the exact N = 2 gauge theory LEEA are thus seen to be complementary to each other and mutually dependent.

show abstract

Multicentre metrics and harmonic superspace

Cited by 37 publications

References 12 publications

Manifest supersymmetry for BPS walls in =2 nonlinear sigma models

Manifest supersymmetry for BPS walls in =2 nonlinear sigma models

Summing up D-instantons in N=2 supergravity

Untitled

Contact Info

Product

Resources

About