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We formulate singular classical theories without involving constraints. Applying the action principle for the action (27) we develop a partial (in the sense that not all velocities are transformed to momenta) Hamiltonian formalism in the…

Mathematical Physics · Physics 2013-07-23 Steven Duplij

We quantize the chiral Schwinger Model by using the Batalin-Tyutin formalism. We show that one can systematically construct the first class constraints and the desired involutive Hamiltonian, which naturally generates all secondary…

High Energy Physics - Theory · Physics 2007-05-23 Jung-Ho Cha , Yong-Wan Kim , Young-Jai Park , Yongduk Kim , Seung-Kook Kim , Won T. Kim

We determine the structure of 1-form symmetries for all 4d $\mathcal{N} = 2$ theories that have a geometric engineering in terms of type IIB string theory on isolated hypersurface singularities. This is a large class of models, that…

High Energy Physics - Theory · Physics 2020-10-28 Michele Del Zotto , Iñaki García Etxebarria , Saghar S. Hosseini

We introduce a new first order formulation of world-volume actions for p-branes with k-supersymmetry. In this language, which involves more auxiliary fields compensated by more local symmetries, the action is provided by a very compact,…

High Energy Physics - Theory · Physics 2009-11-07 Pietro Fré , Leonardo Modesto

Magnetic BPS string solutions preserving quarter of supersymmetry are obtained for all abelian gauged d=5 N=2 supergravity theories coupled to vector supermultiplets. Due to a ``generalised Dirac quantization'' condition satisfied by the…

High Energy Physics - Theory · Physics 2009-10-31 A. H. Chamseddine , W. A. Sabra

We provide a BRST symmetric version of Yokoyama's Type I gaugeon formalism for quantum electrodynamics; the similar theory by Izawa can be considered as a BRST symmetrized Type II theory. With the help of the BRST symmetry, Yokoyama's…

High Energy Physics - Theory · Physics 2011-04-15 M. Koseki , M. Sato , R. Endo

The formalization of First Passage schemes is revisited and the emerging of a conceptual contradiction is underlined. We then show why, despite such a contradiction, the numerical results are not explicitly affected. Through a different…

Chemical Physics · Physics 2019-05-01 Luigi Sbailò , Luigi Delle Site

We construct new half-BPS cosmic string solutions in D=4 N=2 supergravity compatible with a consistent truncation to N=1 supergravity where they describe D-term cosmic strings. The constant Fayet-Iliopoulos term in the N=1 D-term is not put…

High Energy Physics - Theory · Physics 2010-10-27 Mboyo Esole , Kepa Sousa

We show that Z(N) string's BPS equations are equivalent to the Hitchin's equations (or self-duality equation) and also to the zero curvature condition. We construct a general form for BPS Z(N) string solutions for arbitrary simple gauge…

High Energy Physics - Theory · Physics 2009-12-15 Marco A. C. Kneipp

In this Letter, we construct a set of order parameters for non-Abelian gauge theories which probe directly the unbroken group and are free of the deficiencies caused by quantum fluctuations and gauge fixing which have plagued all previous…

High Energy Physics - Theory · Physics 2009-09-25 Hoi-Kwong Lo

Long strings emerge in many Quantum Field Theories, for example as vortices in Abelian Higgs theories, or flux tubes in Yang-Mills theories. The actions of such objects can be expanded in the number of derivatives, around a long straight…

High Energy Physics - Theory · Physics 2019-02-20 Tomer Solberg , Mykhailo Yutushui

The quantum charged rigid membrane model, which is a higher derivative theory has been considered to explore its gauge symmetries using a recently developed first order formalism \cite{BMP}. Hamiltonian analysis has been performed and the…

High Energy Physics - Theory · Physics 2013-02-14 Biswajit Paul

We consider the conformal gauging of non-abelian groups. In such cases there are inequivalent ways of gauging (generalizing the axial and vector cases for abelian groups) corresponding to external automorphisms of the group. Different…

High Energy Physics - Theory · Physics 2009-10-28 E. Kiritsis , N. Obers

The static kink, sphaleron and kink chain solutions for a single scalar field $\phi$ in one spatial dimension are reconsidered. By integration of the Euler--Lagrange equation, or through the Bogomolny argument, one finds that each of these…

High Energy Physics - Theory · Physics 2023-09-07 N. S. Manton

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…

Mathematical Physics · Physics 2011-04-07 Nejat Tevfik Yilmaz

We show that in the functional integral formalism of U(1) gauge field theory some formal manipulation such as interchange of order of integration can yield erroneous results. The example studied is analysed by Fubini theorem.

High Energy Physics - Theory · Physics 2009-10-31 Wei-Min Sun , Xiang-Song Chen , Fan Wang

We worked out the Batalin-Fradkin-Tyutin (BFT) conversion program of second class constraints to first class constraints in the GS superstring using light cone coordinates. By applying this systematic procedure we were able to obtain a…

High Energy Physics - Theory · Physics 2009-11-11 Alejandro Gaona , J. Antonio Garcia

We construct and study the first supersymmetric black-hole and black-string solutions of non-Abelian-gauged N=1,d=5 supergravity (N=1,d=5 Super-Einstein-Yang-Mills theory) with non-trivial SU(2) gauge fields: BPST instantons for black holes…

High Energy Physics - Theory · Physics 2016-04-20 Patrick Meessen , Tomas Ortin , Pedro Fernandez-Ramirez

The theory of versal normal form has been playing a role in normal form since the introduction of the concept by V.I. Arnol'd. But there has been no systematic use of it that is in line with the semidirect character of the group of formal…

Mathematical Physics · Physics 2018-08-09 Fahimeh Mokhtari , Jan. A Sanders

We argue that the relevant higher gauge group for the non-abelian generalization of the self-dual string equation is the string 2-group. We then derive the corresponding equations of motion and discuss their properties. The underlying…

High Energy Physics - Theory · Physics 2020-04-10 Christian Saemann , Lennart Schmidt