arXiv subjects

M. Marino

Publications and source records attributed to M. Marino.

27 records · Page 2Linked to original sources

arXiv2010

Quantization of classical integrable systems. Part I: quasi-integrable quantum systems

We propose in this work a concept of integrability for quantum systems, which corresponds to the concept of noncommutative integrability for systems in classical mechanics. We determine a condition for quantum operators which can be a suitable replacement for the condition of functional independence for functions on the classical phase space. This condition is based on the properties of the main parts of the operators with respect to the momenta. We are led in this way to the definition of what we call a "quasi-integrable quantum system". This concept will be further developed in a series of following papers.

math-ph↗

arXiv2010

Quantization of classical integrable systems. Part II: quantization of functions on Poisson manifolds

In a previous work we have introduced the concept of quasi-integrable quantum system. In the present one we determine sufficient conditions under which, given an integrable classical system, it is possible to construct a quasi-integrable quantum system by means of a quantization procedure based on the symmetrized product of operators. This procedure will be applied to concrete classes of integrable systems in two following papers.

math-ph↗

arXiv2003

SEAL: Common Core Libraries and Services for LHC Applications

The CERN LHC experiments have begun the LHC Computing Grid project in 2001. One of the project's aims is to develop common software infrastructure based on a development vision shared by the participating experiments. The SEAL project will provide common foundation libraries, services and utilities identified by the project's architecture blueprint report. This requires a broad range of functionality that no individual package suitably covers. SEAL thus selects external and experiment-developed packages, integrates them in a coherent whole, develops new code for missing functionality, and provides support to the experiments. We describe the set of basic components identified by the LHC Computing Grid project and thought to be sufficient for development of higher level framework components and specializations. Examples of such components are a plug-in manager, an object dictionary, object whiteboards, an incident or event manager. We present the design and implementation of some of these components and the underlying foundation libraries in some detail.

physics.comp-ph↗

arXiv2000

Polynomial invariants for torus knots and topological strings

We make a precision test of a recently proposed conjecture relating Chern-Simons gauge theory to topological string theory on the resolution of the conifold. First, we develop a systematic procedure to extract string amplitudes from vacuum expectation values (vevs) of Wilson loops in Chern-Simons gauge theory, and then we evaluate these vevs in arbitrary irreducible representations of SU(N) for torus knots. We find complete agreement with the predictions derived from the target space interpretation of the string amplitudes. We also show that the structure of the free energy of topological open string theory gives further constraints on the Chern-Simons vevs. Our work provides strong evidence towards an interpretation of knot polynomial invariants as generating functions associated to enumerative problems.

hep-th↗

arXiv1997

Duality and Topological Quantum Field Theory

We present a summary of the applications of duality to Donaldson-Witten theory and its generalizations. Special emphasis is made on the computation of Donaldson invariants in terms of Seiberg-Witten invariants using recent results in N=2 supersymmetric gauge theory. A brief account on the invariants obtained in the theory of non-abelian monopoles is also presented.

hep-th↗

arXiv1997

Twisted Baryon Number in N=2 Supersymmetric QCD

We show that the baryon number of N=2 supersymmetric QCD can be twisted in order to couple the topological field theory of non-abelian monopoles to $Spin^c$-structures. To motivate the construction, we also consider some aspects of the twisting procedure as a gauging of global currents in two and four dimensions, in particular the role played by anomalies.

hep-th↗

arXiv1996

More on softly broken N=2 QCD

We extend previous work on the soft breaking of $N=2$ supersymmetric QCD. We present the formalism for the breaking due to a dilaton spurion for a general gauge group and obtain the exact effective potential. We obtain some general features of the vacuum structure in the pure $SU(N)$ Yang-Mills theory and we also derive a general mass formula for this class of theories, in particular we present explicit results for the mass spectrum in the $SU(2)$ case. Finally we analyze the vacuum structure of the $SU(2)$ theory with one massless hypermultiplet. This theory presents dyon condensation and a first order phase transition in the supersymmetry breaking parameter driven by non-mutually local BPS states. This could be a hint of Argyres-Douglas-like phases in non-supersymmetric gauge theories.

hep-th↗

arXiv1996

Softly broken N=2 QCD

We analyze the possible soft breaking of $N=2$ supersymmetric Yang-Mills theory with and without matter flavour preserving the analyticity properties of the Seiberg-Witten solution. We present the formalism for an arbitrary gauge group and obtain an exact expression for the effective potential. We describe in detail the onset of the confinement description and the vacuum structure for the pure $SU(2)$ Yang-Mills case and also some general features in the $SU(N)$ case. A general mass formula is obtained, as well as explicit results for the mass spectrum in the $SU(2)$ case.

hep-th↗

arXiv1994

Type B Topological Matter, Kodaira-Spencer Theory, and Mirror Symmetry

Perturbing usual type B topological matter with vector $(0,1)$-forms we find a topological theory which contains explicitly Kodaira-Spencer deformation theory. It is shown that, in genus zero, three-point correlation functions give the Yukawa couplings for a generic point in the moduli space of complex structures. This generalization of type B topological matter seems to be the correct framework to understand mirror symmetry in terms of two-dimensional topological field theories.

hep-th↗