Search results for "Anton"
showing 10 items of 452 documents
Conifold Transitions and Mirror Symmetry for Calabi-Yau Complete Intersections in Grassmannians
1997
In this paper we show that conifold transitions between Calabi-Yau 3-folds can be used for the construction of mirror manifolds and for the computation of the instanton numbers of rational curves on complete intersection Calabi-Yau 3-folds in Grassmannians. Using a natural degeneration of Grassmannians $G(k,n)$ to some Gorenstein toric Fano varieties $P(k,n)$ with conifolds singularities which was recently described by Sturmfels, we suggest an explicit mirror construction for Calabi-Yau complete intersections $X \subset G(k,n)$ of arbitrary dimension. Our mirror construction is consistent with the formula for the Lax operator conjectured by Eguchi, Hori and Xiong for gravitational quantum c…
Comment on “Topological invariants, instantons, and the chiral anomaly on spaces with torsion”
1999
In Riemann-Cartan spacetimes with torsion only its axial covector piece $A$ couples to massive Dirac fields. Using renormalization group arguments, we show that besides the familiar Riemannian term only the Pontrjagin type four-form $dA\wedge dA$ does arise additionally in the chiral anomaly, but not the Nieh-Yan term $d^\star A$, as has been claimed in a recent paper [PRD 55, 7580 (1997)].
Aspects of D-brane Dynamics in Supergravity Backgrounds with Fluxes, Kappa-symmetry and Equations of Motion. Part IIB
2006
We derive and carry out a detailed analysis of the equations of motion of the type IIB D branes in generic supergravity backgrounds with fluxes making account of the worldvolume Born-Infeld gauge field and putting a special emphasis on the structure of the Dirac equation for Dp brane fermionic modes. We present an explicit form of the worldvolume field equations for each of the Dp branes (p=1,3,5,7,9) in the cases in which the Neveu-Schwarz flux and the Ramond-Ramond p-form flux along the Dp-brane worldvolume are zero and the supergravity backgrounds do not necessarily induce the worldvolume Born-Infeld flux. We then give several examples of D3, D5 and D7 brane configurations in which the w…
Induced scalar potentials for hypermultiplets
1997
Charged BPS hypermultiplets can develop a non-trivial self-interaction in the Coulomb branch of an N=2 supersymmetric gauge theory, whereas neutral BPS hypermultiplets in the Higgs branch may also have a non-trivial self-interaction in the presence of Fayet-Iliopoulos terms. The exact hypermultiplet low-energy effective action (LEEA) takes the form of the non-linear sigma-model (NLSM) with a hyper-K"ahler metric. A non-trivial scalar potential is also quantum-mechanically generated at non-vanishing central charges, either perturbatively (Coulomb branch), or non-perturbatively (Higgs branch). We calculate the effective scalar potentials for (i) a single charged hypermultiplet in the Coulomb …
Q7-branes and their coupling to IIB supergravity
2007
We show how, by making use of a new basis of the IIB supergravity axion-dilaton coset, SL(2,R)/SO(2), 7-branes that belong to different conjugacy classes of the duality group SL(2,R) naturally couple to IIB supergravity with appropriate source terms characterized by an SL(2,R) charge matrix Q. The conjugacy classes are determined by the value of the determinant of Q. The (p,q) 7-branes are the branes in the conjugacy class detQ = 0. The 7-branes in the conjugacy class detQ > 0 are labelled by three numbers (p,q,r) which parameterize the matrix Q and will be called Q7-branes. We construct the full bosonic Wess--Zumino term for the Q7-branes. In order to realize a gauge invariant coupling …
Instanton Counting, Quantum Geometry and Algebra
2020
The aim of this memoir for "Habilitation \`a Diriger des Recherches" is to present quantum geometric and algebraic aspects of supersymmetric gauge theory, which emerge from non-perturbative nature of the vacuum structure induced by instantons. We start with a brief summary of the equivariant localization of the instanton moduli space, and show how to obtain the instanton partition function and its generalization to quiver gauge theory and supergroup gauge theory in three ways: the equivariant index formula, the contour integral formula, and the combinatorial formula. We then explore the geometric description of $\mathcal{N} = 2$ gauge theory based on Seiberg-Witten geometry together with it…
Integrating over quiver variety and BPS/CFT correspondence
2019
We show the vertex operator formalism for the quiver gauge theory partition function and the $qq$-character of highest-weight module on quiver, both associated with the integral over the quiver variety.
Octavien à la veille d’Actium chez Dion Cassius (L, 24-30 ): haranguer les troupes en diffamant l’adversaire
2014
1. Le compte-rendu des arguments Parmi les nombreuses interventions oratoires insérées dans l’œuvre de Dion Cassius qui montrent avant tout son intérêt à utiliser la rhétorique pour mettre au point des questions importantes sur le plan éthique-politique, en particulier à travers les discours tenus par certains personnages-clefs de l’histoire romaine, on peut distinguer la harangue prononcée devant ses troupes par Octavien à la veille de la bataille d’Actium en 31 av. J.-C. Quoiqu’il ne soit p...
Un vocabulari pornogràfic francès-català inèdit
2014
Resum: Antoni Bulbena Tosell és autor d’un manuscrit, i inèdit, vocabulari pornogràfic francès-català català-francès, la Flora pornogràfica francesa: suplement al argot francès / Flore pornographique catalane: supplément à l’argot catalan. És una obra d’aproximadament l’any 1921 que, per la seva temàtica, ell mateix reservava per a no publicar-se. Bulbena és autor d’una discutida obra lingüística, entre la qual trobem diferents diccionaris, alguns d’ells entre el català i el francès. El darrer que publicà és el Diccionari de les lléngues francesa & catalana / Dictionnaire catalan-français (1921) que inclou dos apèndixs, un «Vocabulari d’argot francès» i un «Vocabulari d’argot catalan». …
El manuscrito del 'Cancionero de Baena' (PN1) : Descripción codicológica y evolución histórica
2018
The present article attempts to establish as accurately as possible the chronological trajectory of the unique codex of the Cancionero de Baena (PN1 in the Dutton nomenclature). It begins with a detailed examination of the codicological aspects of the manuscript, which serve to date its origin to around 1465. This origin, combined with the historical data, supports a conjecture that the manuscript probably belonged to Gonzalo de Beteta, an official of both Enrique IV and the Catholic Kings. It would have passed from him to his grandson, Jorge de Beteta y Cardenas, who gave it to the Real Biblioteca de El Escorial in 1576. The article then follows the vicissitudes of the manuscript from its …