22 research outputs found
Non-linear Realisation of the N=2, D=6 Supergravity
We have applied the method of dualisation to construct the coset realisation
of the bosonic sector of the N=2, D=6 supergravity which is coupled to a tensor
multiplet. The bosonic field equations are regained through the Cartan-Maurer
equation which the Cartan form satisfies. The first-order formulation of the
theory is also obtained as a twisted self-duality condition within the
non-linear coset construction.Comment: 11 page
Decoupling structure of the principal sigma model-Maxwell interactions
The principal sigma model and Abelian gauge fields coupling is studied. By
expressing the first-order formulation of the gauge field equations an implicit
on-shell scalar-gauge field decoupling structure is revealed. It is also shown
that due to this decoupling structure the scalars of the theory belong to the
pure sigma model and the gauge fields sector consists of a number of coupled
Maxwell theories with currents partially induced by the scalars.Comment: 13 page
On the Symmetric Space Sigma-Model Kinematics
The solvable Lie algebra parametrization of the symmetric spaces is
discussed. Based on the solvable Lie algebra gauge two equivalent formulations
of the symmetric space sigma model are studied. Their correspondence is
established by inspecting the normalization conditions and deriving the field
transformation laws.Comment: 17 page
Symmetric Space Sigma-model Dynamics: Internal Metric Formalism
For the symmetric space sigma model in the internal metric formalism we
explicitly construct the lagrangian in terms of the axions and the dilatons of
the solvable Lie algebra gauge and then we exactly derive the axion-dilaton
field equations.Comment: 10 page
The Non-Split Scalar Coset in Supergravity Theories
The general non-split scalar coset of supergravity theories is discussed.The
symmetric space sigma model is studied in two equivalent formulations and for
different coset parametrizations.The dualisation and the local first order
formulation is performed for the non-split scalar coset G/K when the rigid
symmetry group G is a real form of a non-compact semisimple Lie group (not
necessarily split) and the local symmetry group K is G's maximal compact
subgroup.A comparison with the scalar cosets arising in the
T^{10-D}-compactification of the heterotic string theory in ten dimensions is
also mentioned.Comment: 26 page
Dualisation of the Salam-Sezgin D=8 Supergravity
The first-order formulation of the Salam-Sezgin D=8 supergravity coupled to N
vector multiplets is discussed. The non-linear realization of the bosonic
sector of the D=8 matter coupled Salam-Sezgin supergravity is introduced by the
dualisation of the fields and by constructing the Lie superalgebra of the
symmetry group of the doubled field strength.Comment: 15 page
Integrated Lax Formalism for PCM
By solving the first-order algebraic field equations which arise in the dual
formulation of the D=2 principal chiral model (PCM) we construct an integrated
Lax formalism built explicitly on the dual fields of the model rather than the
currents. The Lagrangian of the dual scalar field theory is also constructed.
Furthermore we present the first-order PDE system for an exponential
parametrization of the solutions and discuss the Frobenious integrability of
this system.Comment: 24 page
Dualisation of the General Scalar Coset in Supergravity Theories
The dualised formulation of the symmetric space sigma model is peformed for a
general scalar coset G/K where G is a maximally non-compact group and K is it's
maximal compact subgroup.By using the twisted self-duality condition the
general form of the first-order equations are obtained.The results are applied
to the example of SL(2,R)/SO(2) scalar manifold of the IIB supergravity.Comment: 22 page