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Canonical quantisation for classical integrable equations

Title
Canonical quantisation for classical integrable equations
Funding
ARC | Discovery Projects
Contract (GA) number
DP120101340
Start Date
2012/01/01
End Date
2014/12/31
Open Access mandate
no
Organizations
-
More information
http://purl.org/au-research/grants/arc/DP120101340

 

  • Higher spins in hyperspace

    Florakis, Ioannis; Sorokin, Dmitri; Tsulaia, Mirian (2014)
    Projects: ARC | Canonical quantisation for classical integrable equations (DP120101340)
    We consider the Sp(2n) invariant formulation of higher spin fields on flat and curved backgrounds of constant curvature.In this formulation an infinite number of higher spin fields are packed into single scalar and spinor master fields (hyperfields) propagating on extended spaces, to be called hyperspaces, parametrized by tensorial coordinates.We show that the free field equations on flat and AdS-like hyperspaces are related to each other by a generalized conformal transformation of the scala...

    Massive Higher Spin Fields Coupled to a Scalar: Aspects of Interaction and Causality

    Buchbinder, I. L.; Dempster, P.; Tsulaia, M. (2013)
    Projects: ARC | Canonical quantisation for classical integrable equations (DP120101340)
    We consider in detail the most general cubic Lagrangian which describes an interaction between two identical higher spin fieldsin a triplet formulation with a scalar field, all fields having the same values of the mass. After performing the gauge fixing procedure we find that for the case of massive fields the gauge invariance does not guarantee the preservation of the correct number of propagating physical degrees of freedom. In order to get the correct number of degrees of freedom for the m...

    Generalised universality of gauge thresholds in heterotic vacua with and without supersymmetry

    Angelantonj, Carlo; Florakis, Ioannis; Tsulaia, Mirian (2015)
    Projects: ARC | Canonical quantisation for classical integrable equations (DP120101340)
    We study one-loop quantum corrections to gauge couplings in heterotic vacua with spontaneous supersymmetry breaking. Although in non-supersymmetric constructions these corrections are not protected and are typically model dependent, we show how a universal behaviour of threshold differences, typical of supersymmetric vacua, may still persist. We formulate specific conditions on the way supersymmetry should be broken for this to occur. Our analysis implies a generalised notion of threshold uni...

    Lagrangian formulation of massive fermionic higher spin fields on a constant electromagnetic background

    Buchbinder, I.L.Department of Theoretical Physics, Tomsk State Pedagogical University, Tomsk, 634061, Russia; Krykhtin, V.A.(Department of Theoretical Physics, Tomsk State Pedagogical University, Tomsk, 634061, Russia); Tsulaia, M.(Faculty of Education Science, Technology and Mathematics, University of Canberra, Bruce ACT, 2617, Australia) (2015)
    Projects: ARC | Canonical quantisation for classical integrable equations (DP120101340)
    We consider massive half-integer higher spin fields coupled to an external constant electromagnetic field in flat space of an arbitrary dimension and construct a gauge invariant Lagrangian in the linear approximation in the external field. A procedure for finding the gauge-invariant Lagrangians is based on the BRST construction where no off-shell constraints on the fields and on the gauge parameters are imposed from the very beginning. As an example of the general procedure, we derive a gauge...

    Universality of Gauge Thresholds in Non-Supersymmetric Heterotic Vacua

    Angelantonj, Carlo; Florakis, Ioannis; Tsulaia, Mirian (2014)
    Projects: ARC | Canonical quantisation for classical integrable equations (DP120101340), EC | SUPERFIELDS (226455)
    We compute one-loop threshold corrections to non-abelian gauge couplings in four-dimensional heterotic vacua with spontaneously broken $\cal N = 2 \to \cal N = 0$ supersymmetry, obtained as Scherk-Schwarz reductions of six-dimensional K3 compactifications. As expected, the gauge thresholds are no-longer BPS protected, and receive contributions also from the excitations of the RNS sector. Remarkably, the difference of thresholds for non-abelian gauge couplings is BPS saturated and exhibits a u...
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