Arguments towards the construction of a matrix model groundstate

We discuss the existence and uniqueness of wavefunctions for inhomogenoeus boundary value problems associated to x^2y^2-type matrix model on a bounded domain of R^2. Both properties involve a combination of the Cauchy-Kovalewski Theorem and a explicit calculations.Comment: 3 pages, Latex Proceedings for the XIX Simposio Chileno de Fisica, SOCHIFI 2014 Conference, 26-28 November 2014, held at Concepcion U., Chil

Veličastno telo: agambenovska ne-nerazodevajoča se golota v umetnosti

“The Glorious Body” explores Agamben’s conception of art—through his notion of the messianic as it comprises “nudity” to infer his idea of the nude. Agamben’s “ontology of nudity” heals the fracture between poiesis and praxis that paved the dreary way to aesthetics, giving a key role in this process to the nude figure in art. Insofar as art may be rediscovered through “nudity,” art can awaken us to the intimate contact of poiesis and praxis in life itself, allowing us to reclaim our poetic status in the world by constituting our lives as “form-of-life.” Agamben’s messianic nudity (in art, through the nude), moreover, effects the inoperativity of sovereignty by precluding presupposition—that which a veil relies on—by simply italicizing what already exists. Sovereignty is thus disempowered, as it depends on the presupposition of an exception that Agamben’s messianic vision held within nudity rules out.Pričujoče besedilo preiskuje Agambenovo pojmovanje umetnosti, opirajoč se pri tem na njegov pojem mesijanskega, kolikor le-ta vključuje »goloto«, zato da bi na tej podlagi izpeljalo njegovo idejo o golem. Agambenova »ontologija golote« zaceli razpoko med poiesis in praxis, ki je odprla uničevalno pot k estetiki, pri čemer je osrednjo vlogo v tem procesu dodeljena goli figuri v umetnosti. Če je umetnost mogoče ponovno odkriti prek »golote«, pa nas lahko umetnost po drugi strani naredi dovzetne za tesni stik med poiesis in praxis v samem življenju, s čimer nam omogoči, da zahtevamo obnovo našega poietičnega statusa v svetu prek konstitucije naših življenj kot »form življenja«. Toda Agambenova mesijanska golota (v umetnosti – prek golote) hkrati povzroči neoperativnost suverenosti, s tem da izključi predpostavko – tisto, na katero se opira tenčica – zgolj s tem, da poudari to, kar že obstaja. Suverenost s tem izgubi svojo moč, saj je odvisna od predpostavke izjeme, ki jo Agambenova mesijanska vizija, kolikor ostaja znotraj golote, ravno izključuje

On the groundstate of octonionic matrix models in a ball

In this work we examine the existence and uniqueness of the groundstate of a SU(N)x G2 octonionic matrix model on a bounded domain of R^N. The existence and uniqueness argument of the groundstate wavefunction follows from the Lax-Milgram theorem. Uniqueness is shown by means of an explicit argument which is drafted in some detail.Comment: Latex, 6 page

The supermembrane with central charges:(2+1)-D NCSYM, confinement and phase transition

The spectrum of the bosonic sector of the D=11 supermembrane with central charges is shown to be discrete and with finite multiplicities, hence containing a mass gap. The result extends to the exact theory our previous proof of the similar property for the SU(N) regularised model and strongly suggest discreteness of the spectrum for the complete Hamiltonian of the supermembrane with central charges. This theory is a quantum equivalent to a symplectic non-commutative super-Yang-Mills in 2+1 dimensions, where the space-like sector is a Riemann surface of positive genus. In this context, it is argued how the theory in 4D exhibits confinement in the N=1 supermembrane with central charges phase and how the theory enters in the quark-gluon plasma phase through the spontaneous breaking of the centre. This phase is interpreted in terms of the compactified supermembrane without central charges.Comment: 33 pages, Latex. In this new version, several changes have been made and various typos were correcte

The ground state of the D=11 supermembrane and matrix models on compact regions

We establish a general framework for the analysis of boundary value problems of matrix models at zero energy on compact regions. We derive existence and uniqueness of ground state wavefunctions for the mass operator of the $D=11$ regularized supermembrane theory, that is the $\mathcal{N}=16$ supersymmetric $SU(N)$ matrix model, on balls of finite radius. Our results rely on the structure of the associated Dirichlet form and a factorization in terms of the supersymmetric charges. They also rely on the polynomial structure of the potential and various other supersymmetric properties of the system.Comment: Latex, 26 pages. We have added some comments at the introduction in order to make it easier for the reader. Results of the paper unchange

Noncommutative associative superproduct for general supersymplectic forms

We define a noncommutative and nonanticommutative associative product for general supersymplectic forms, allowing the explicit treatment of non(anti)commutative field theories from general nonconstant string backgrounds like a graviphoton field. We propose a generalization of deformation quantization a la Fedosov to superspace, which considers noncommutativity in the tangent bundle instead of base space, by defining the Weyl super product of elements of Weyl super algebra bundles. Super Poincare symmetry is not broken and chirality seems not to be compromised in our formulation. We show that, for a particular case, the projection of the Weyl super product to the base space gives rise the Moyal product for non(anti)commutative theories.Comment: 22 pages, revtex4. References added. Comments added. Includes additional theorem proof

Kristeva's Severed Head in Iraq: Antoon’s The Corpse Washer

This paper offers a Kristevan reading of Antoon's The Corpse Washer. Although this text focuses specifically on Arab/Muslim culture, which cannot be translated into a racial category, this reading is meant to show the pertinence of Kristevan psychoanalytic theory in a non-Western context.  One might go about linking such psychoanalytic work on non-Western writing to “race” in two ways.  Insofar as The Corpse Washer demonstrates the validity of Kristevan psychoanalytic theory for non-Western art/artists, it implies the universality of that theory, despite ethnicity, race, religion, etc.  Or if we presuppose the universality of Kristevan psychoanalytic theory, we may think of such work as testing the assumption that psychoanalysis can traverse all such culturally constructed boundaries

Massless ground state for a compact SU(2) matrix model in 4D

We show the existence and uniqueness of a massless supersymmetric ground state wavefunction of a SU(2) matrix model in a bounded smooth domain with Dirichlet boundary conditions. This is a gauge system and we provide a new framework to analyze the quantum spectral properties of this class of supersymmetric matrix models subject to constraints which can be generalized for arbitrary number of colors.Comment: 12 pages, Latex. Somme clarifications. Minor changes. Version to appear at NP