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We investigate bosonic sectors of supersymmetric field theories. We consider superpotentials described by one and by two real scalar fields, and we show how the equations of motion can be factorized into a family of first order Bogomol'nyi…

高能物理 - 理论 · 物理学 2015-06-25 D. Bazeia , J. Menezes , M. M. Santos

We demonstrate that the complete factorization of equations of motion into first-order differential equations can be obtained for real and complex scalar field theories with non-canonical dynamics.

高能物理 - 理论 · 物理学 2017-12-18 D. Bazeia , Diego R. Granado , Elisama E. M. Lima

The equations of motion for a conformal field theory in the presence of defect lines can be derived from an action that includes contributions from bibranes. For T-dual toroidal compactifications, they imply a direct relation between…

高能物理 - 理论 · 物理学 2009-06-19 Gor Sarkissian , Christoph Schweigert

The highest weight modules of the chiral algebra of orthogonal WZW models at level one possess a realization in fermionic representation spaces; the Kac-Moody and Virasoro generators are represented as unbounded limits of even CAR algebras.…

高能物理 - 理论 · 物理学 2016-08-17 J. Böckenhauer

We argue that the Wess-Zumino model with quartic superpotential admits static solutions in which three domain walls intersect at a junction. We derive an energy bound for such junctions and show that configurations saturating it preserve…

高能物理 - 理论 · 物理学 2009-10-07 G W Gibbons , P K Townsend

We show that a complete covariantization of the chiral constraint in the Floreanini-Jackiw necessitates an infinite number of auxiliary Wess-Zumino fields otherwise the covariantization is only partial and unable to remove the nonlocality…

高能物理 - 理论 · 物理学 2015-06-26 C. Neves , E. M. C. de Abreu , C. Wotzasek

The path integral description of the Wess-Zumino-Witten $\to$ Liouville reduction is formulated in a manner that exhibits the conformal invariance explicitly at each stage of the reduction process. The description requires a conformally…

高能物理 - 理论 · 物理学 2009-10-30 L. O'Raifeartaigh , V. V. Sreedhar

We give a purely algebraic construction of a cohomological field theory associated with a quasihomogeneous isolated hypersurface singularity W and a subgroup G of the diagonal group of symmetries of W. This theory can be viewed as an…

代数几何 · 数学 2014-04-30 Alexander Polishchuk , Arkady Vaintrob

In the paper by Bazeia D. et al., EPL, 119 (2017) 61002, the authors demonstrate the equivalence between the second-order differential equation of motion and a family of first-order differential equations of Bogomolnyi type for the cases of…

高能物理 - 理论 · 物理学 2019-07-22 Diego R. Granado

We shall give an axiomatic construction of Wess-Zumino-Witten actions valued in (G=SU(N)), (N\geq 3). It is realized as a functor ({WZ}) from the category of conformally flat four-dimensional manifolds to the category of line bundles with…

微分几何 · 数学 2007-05-23 Tosiaki Kori

Motion polynomials are a specific type of polynomial over a Clifford algebra that can conveniently describe rational motions. There exists an algorithm for the factorization of motion polynomials that works in generic cases. It hinges on…

环与代数 · 数学 2025-08-29 Daren A. Thimm , Zijia Li , Hans-Peter Schröcker , Johannes Siegele

It is shown that the action for topological gravity in even dimensions is, except by a multiplicative constant, a gauged Wess-Zumino-Witten Term.

数学物理 · 物理学 2015-05-14 Patricio Salgado , Patricio Salgado-Rebolledo , Omar Valdivia

In this work we adopt the point of view that the equations of motion satisfied by a field are just a consequence of the representation space which the field belongs to, and the discrete symmetries we impose on it. We illustrate this view…

高能物理 - 唯象学 · 物理学 2007-05-23 M. Napsuciale , C. A. Vaquera-Araujo

We discuss classical and quantum aspects of the dynamics of a family of domain walls arising in a generalized Wess-Zumino model. These domain walls can be embedded in ${\cal N}=1$ supergravity as exact solutions and are composed of two…

For an in invertible quasihomogeneous singularity $w$ we prove an all-genus mirror theorem establishing an isomorphism between two cohomological field theories. On the $B$-side it is the Saito-Givental theory given by a certain choice of a…

代数几何 · 数学 2022-08-02 Weiqiang He , Alexander Polishchuk , Yefeng Shen , Arkady Vaintrob

It is shown, at the level of the classical action, that the Wess-Zumino-Witten-Novikov model is equivalent to a combined BF theory and a Chern-Simons action in the presence of a unique boundary term. This connection relies on the techniques…

高能物理 - 理论 · 物理学 2009-10-31 N. Mohammedi

We construct quantized free superfields and represent them as operator-valued distributions in Fock space starting with Majorana fields. The perturbative construction of the S-matrix for interacting theories is carried through by extending…

高能物理 - 理论 · 物理学 2007-05-23 Florin Constantinescu , Gunter Scharf

The phase space path integral Wess-Zumino-Witten $\to$ Toda reductions are formulated in a manifestly conformally invariant way. For this purpose, the method of Batalin, Fradkin, and Vilkovisky, adapted to conformal field theories, with…

高能物理 - 理论 · 物理学 2009-10-31 L. O. Raifeartaigh , V. V. Sreedhar

We review the basic algebraic properties of the quantum monodromy matrix M in the canonically quantized chiral SU(n)_k Wess-Zumino-Novikov-Witten model with a quantum group symmetry.

数学物理 · 物理学 2011-12-30 Ludmil Hadjiivanov , Paolo Furlan

We study a unitary matrix model of the Gross-Witten-Wadia type, extended with the addition of characteristic polynomial insertions. The model interpolates between solvable unitary matrix models and is the unitary counterpart of a deformed…

高能物理 - 理论 · 物理学 2020-11-23 Jorge G. Russo , Miguel Tierz
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