313 citations · 679 across the 35 of their papers we have counts for
11 papers · 1 filter
One loop renormalizability of the Poisson-Lie sigma models
G. Valent, C. Klimcik, R. Squellari
We present the proof of the one loop renormalizability in the strict field theoretic sense of the Poisson-Lie sigma models. The result is valid for any Drinfeld double and it relie…
Integrability versus separability for the multi-centre metrics
Galliano Valent
The multi-centre metrics are a family of euclidean solutions of the empty space Einstein equations with self-dual curvature. For this full class, we determine which metrics do exhi…
One-loop renormalizability of all 2d dimensional Poisson-Lie sigma-models
C. Klimcik, G. Valent
We perform a systematic study of the one-loop renormalizability of all Poisson-Lie T-dualizable $\si$-models with two-dimensional targets. We show that whatever Drinfeld double and…
Higher Conservation Law for the Multi-Centre Metrics
G. Valent
The multi-centre metrics are a family of euclidean solutions of the empty space Einstein equations with self-dual curvature. For this full class, we determine which metrics do exhi…
U(1) x U(1) Quaternionic Metrics from Harmonic Superspace
Pierre-Yves Casteill, Evgeny Ivanov, Galliano Valent
We construct, using harmonic superspace and the quaternionic quotient approach, a quaternionic-Kähler extension of the most general two centres hyper-Kähler metric. It possesses $U…
Quaternionic Extension of the Double Taub-NUT Metric
Pierre-Yves Casteill, Evgeny Ivanov, Galliano Valent
Starting from the generic harmonic superspace action of the quaternion-Kähler sigma models and using the quotient approach we present, in an explicit form, a quaternion-Kähler exte…