共查询到20条相似文献,搜索用时 156 毫秒
1.
Duiliu-Emanuel Diaconescu Bogdan Florea Natalia Saulina 《Communications in Mathematical Physics》2006,265(1):201-226
We develop a vertex formalism for topological string amplitudes on ruled surfaces with an arbitrary number of reducible fibers
embedded in a Calabi-Yau threefold. Our construction is based on large N duality and localization with respect to a degenerate torus action. We also discuss potential generalizations of our formalism
to a broader class of Calabi-Yau threefolds using the same underlying principles. 相似文献
2.
Fang et al. (J. Diff. Geom. 80(2):175–259, 2008, Sect. 4, Conj. 4.17) conjecture that a certain spectral string-theoretic invariant of Calabi-Yau threefolds (the BCOV torsion)
is a birational invariant. We prove a weak form of this conjecture. The proof combines the arithmetic Riemann-Roch theorem
in Arakelov geometry with some inputs from motivic integration theory. 相似文献
3.
《Nuclear Physics B》1996,474(2):323-342
We elucidate the interplay between gauge and supersymmetry anomalies in six-dimensional N = 1 supergravity with generalized couplings between tensor and vector multiplets. We derive the structure of the five-dimensional supergravity resulting from the S1 reduction of these models and give the constraints on Chem-Simons couplings that follow from duality to M-theory compactified on a Calabi-Yau threefold. The duality is supported only on a restricted class of Calabi-Yau threefolds and requires a special type of intersection form. We derive five-dimensional central-charge formulas and briefly discuss the associated phase transitions. Finally, we exhibit connections with F-theory compactifications on Calabi-Yau manifolds that admit elliptic fibrations. This analysis suggests that F-theory unifies type-IIb three-branes and M-theory five-branes. 相似文献
4.
A vertex algebra is an algebraic counterpart of a two-dimensional conformal field theory. We give a new definition of a vertex
algebra which includes chiral algebras as a special case, but allows for fields which are neither meromorphic nor anti-meromorphic.
To any complex torus equipped with a flat K?hler metric and a closed 2-form we associate an N=2 superconformal vertex algebra (N=2 SCVA) in the sense of our definition. We find a criterion for two different tori to produce isomorphic N=2 SCVA's. We show that for algebraic tori the isomorphism of N=2 SCVA's implies the equivalence of the derived categories of coherent sheaves corresponding to the tori or their noncommutative
generalizations (Azumaya algebras over tori). We also find a criterion for two different tori to produce N=2 SCVA's related by a mirror morphism. If the 2-form is of type (1,1), this condition is identical to the one proposed by
Golyshev, Lunts, and Orlov, who used an entirely different approach inspired by the Homological Mirror Symmetry Conjecture
of Kontsevich. Our results suggest that Kontsevich's conjecture must be modified: coherent sheaves must be replaced with modules
over Azumaya algebras, and the Fukaya category must be ``twisted' by a closed 2-form. We also describe the implications of
our results for BPS D-branes on Calabi-Yau manifolds.
Received: 3 May 2001 / Accepted: 17 August 2002 Published online: 8 January 2003 相似文献
5.
We demonstrate the equivalence of all loop closed topological string amplitudes on toric local Calabi-Yau threefolds with computations of certain knot invariants for Chern-Simons theory. We use this equivalence to compute the topological string amplitudes in certain cases to very high degree and to all genera. In particular we explicitly compute the topological string amplitudes for 2 up to degree 12 and 1× 1 up to total degree 10 to all genera. This also leads to certain novel large N dualities in the context of ordinary superstrings, involving duals of type II superstrings on local Calabi-Yau three-folds without any fluxes.This research is supported in part by NSF grants PHY-9802709 and DMS-0074329 相似文献
6.
Zhi-Yu Luo Qing Wang Xiao Li Jian Jing 《International Journal of Theoretical Physics》2012,51(7):2143-2151
We study planar Dirac oscillator in noncommutative phase space. The model is solved exactly. The relation between this model and Jaynes-Cummings (JC) or anti-Jaynes-Cummings (AJC) models is investigated. We find that the behaviors of this model depend qualitatively on the signs of a dimensionless parameter κ. For a negative κ, we find that there is a map from this model to a model which contains only AJC terms. However, for a positive κ, there is a map from this model to a model which contains both AJC and JC terms simultaneously. Our investigation may afford a new way to study the noncommutative Dirac oscillator by means of quantum optics method, and vice verse. 相似文献
7.
Jan Manschot 《Communications in Mathematical Physics》2010,299(3):651-676
The BPS-spectrum is known to change when moduli cross a wall of marginal stability. This paper tests the compatibility of
wall-crossing with S-duality and electric-magnetic duality for N=2{\mathcal{N}=2} supergravity. To this end, the BPS-spectrum of D4-D2-D0 branes is analyzed in the large volume limit of Calabi-Yau moduli
space. Partition functions are presented, which capture the stability of BPS-states corresponding to two constituents with
primitive charges and supported on very ample divisors in a compact Calabi-Yau. These functions are “mock modular invariant”
and therefore confirm S-duality. Furthermore, wall-crossing preserves electric-magnetic duality, but is shown to break the “spectral flow” symmetry
of the N=(4,0){\mathcal{N}=(4,0)} CFT, which captures the degrees of freedom of a single constituent. 相似文献
8.
9.
Ali H. Chamseddine 《Communications in Mathematical Physics》2001,218(2):283-292
The presence of a constant background antisymmetric tensor for open strings or D-branes forces the space-time coordinates
to be noncommutative. This effect is equivalent to replacing ordinary products in the effective theory by the deformed star
product. An immediate consequence of this is that all fields get complexified. The only possible noncommutative Yang–Mills
theory is the one with U(N) gauge symmetry. By applying this idea to gravity one discovers that the metric becomes complex. We show in this article
that this procedure is completely consistent and one can obtain complexified gravity by gauging the symmetry U(1,D−1) instead of the usual SO(1,D−1). The final theory depends on a Hermitian tensor containing both the symmetric metric and antisymmetric tensor. In contrast
to other theories of nonsymmetric gravity the action is both unique and gauge invariant. The results are then generalized
to noncommutative spaces.
Received: 1 June 2000 / Accepted: 27 November 2000 相似文献
10.
11.
The FRT quantum Euclidean spaces O
q
N
are formulated in terms of Cartesian generators. The quantum analogs of N-dimensional Cayley-Klein spaces are obtained by contractions and analytical continuations. Noncommutative constant-curvature
spaces are introduced as spheres in the quantum Cayley-Klein spaces. For N = 5 part of them is interpreted as the noncommutative analogs of (1+3) space-time models. As a result the quantum (anti)
de Sitter, Minkowski, Newton, Galilei kinematics with the fundamental length and the fundamental time are suggested.
Presented at the International Colloquium “Integrable Systems and Quantum Symmetries”, Prague, 16–18 June 2005. 相似文献
12.
《Nuclear Physics B》1996,476(3):437-469
We continue our study of compactifications of F-theory on Calabi-Yau threefolds. We gain more insight into F-theory duals of heterotic strings and provide a recipe for building F-theory duals for arbitrary heterotic compactifications on elliptically fibered manifolds. As a byproduct we find that string/string duality in six dimensions gets mapped to fiber/base exchange in F-theory. We also construct a number of new N = 1, d = 6 examples of F-theory vacua and study transitions among them. We find that some of these transition points correspond upon further compactification to 4 dimensions to transitions through analogues of Argyres-Douglas points of N = 2 moduli. A key idea in these transitions is the notion of classifying (0,4) fivebranes of heterotic strings. 相似文献
13.
M. Aguero J. A. S. Aguilar C. Ortiz M. Sabido J. Socorro 《International Journal of Theoretical Physics》2007,46(11):2928-2934
In this paper we present the noncommutative Bianchi Class A cosmological models coupled to barotropic perfect fluid. The commutative
and noncommutative quantum solution to the Wheeler–DeWitt equation for any factor ordering, to the anisotropic Bianchi type
II cosmological model are found, using a stiff fluid (γ=1). In our toy model, we introduce noncommutative scale factors, is say, we consider that all minisuperspace variables q
i
does not commute, so the simplectic structure was modified. 相似文献
14.
Anton Kapustin Alexander Kuznetsov Dmitri Orlov 《Communications in Mathematical Physics》2001,221(2):385-432
Recently N. Nekrasov and A. Schwarz proposed a modification of the ADHM construction of instantons which produces instantons
on a noncommutative deformation of ℝ4. In this paper we study the relation between their construction and algebraic bundles on noncommutative projective spaces.
We exhibit one-to-one correspondences between three classes of objects: framed bundles on a noncommutative ℙ2, certain complexes of sheaves on a noncommutative ℙ3, and the modified ADHM data. The modified ADHM construction itself is interpreted in terms of a noncommutative version of
the twistor transform. We also prove that the moduli space of framed bundles on the noncommutative ℙ2 has a natural hyperk?hler metric and is isomorphic as a hyperk?hler manifold to the moduli space of framed torsion free sheaves
on the commutative ℙ2. The natural complex structures on the two moduli spaces do not
coincide but are related by an SO(3) rotation. Finally, we propose a construction of instantons on a more general noncommutative
ℝ4 than the one considered by Nekrasov and Schwarz (a q-deformed ℝ4).
Received: 3 May 2000 / Accepted: 3 April 2001 相似文献
15.
S. E. Parkhomenko 《Journal of Experimental and Theoretical Physics》2012,114(1):39-47
We present a generalization of Borisov’s construction of the chiral de Rham complex in the case of the line-bundle-twisted
chiral de Rham complex on a Calabi-Yau hypersurface in a projective space. We generalize the differential associated with
a polytope Δ of the projective space ℙ
d − 1 by allowing nonzero modes for the screening currents forming this differential. It is shown that the numbers of screening
current modes define the support function of the toric divisor of a line bundle on ℙ
d − 1 that twists the chiral de Rham complex on the Calabi-Yau hypersurface. 相似文献
16.
Bergfinnur Durhuus Thordur Jonsson Ryszard Nest 《Communications in Mathematical Physics》2003,233(1):49-78
We establish existence and stability results for solitons in noncommutative scalar field theories in even space dimension
2d. In particular, for any finite rank spectral projection P of the number operator 𝒩 of the d-dimensional harmonic oscillator and sufficiently large noncommutativity parameter θ we prove the existence of a rotationally
invariant soliton which depends smoothly on θ and converges to a multiple of P as θ→∞.
In the two-dimensional case we prove that these solitons are stable at large θ, if P=P
N
, where P
N
projects onto the space spanned by the N+1 lowest eigenstates of 𝒩, and otherwise they are unstable. We also discuss the generalisation of the stability results
to higher dimensions. In particular, we prove stability of the soliton corresponding to P=P
0
for all θ in its domain of existence.
Finally, for arbitrary d and small values of θ, we prove without assuming rotational invariance that there do not exist any solitons depending smoothly
on θ.
Received: 13 July 2001 / Accepted: 9 July 2002 Published online: 10 January 2003 相似文献
17.
Ricardo E. Gamboa Saraví 《General Relativity and Gravitation》2012,44(7):1769-1786
In order to find out whether empty singular boundaries can arise in higher dimensional Gravity, we study the solution of Einstein’s equations consisting in a (N + 2)-dimensional static and hyperplane symmetric perfect fluid satisfying the equation of state ρ = ηp, being η an arbitrary constant and N ≥ 2. We show that this spacetime has some weird properties. In particular, in the case η > −1, it has an empty (without matter) repulsive singular boundary. We also study the behavior of geodesics and the Cauchy problem for the propagation of massless scalar field in this spacetime. For η > 1, we find that only vertical null geodesics touch the boundary and bounce, and all of them start and finish at z = ∞; whereas non-vertical null as well as all time-like ones are bounded between two planes determined by initial conditions. We obtain that the Cauchy problem for the propagation of a massless scalar field is well-posed and waves are completely reflected at the singularity, if we only demand the waves to have finite energy, although no boundary condition is required. 相似文献
18.
A twisted quiver bundle is a set of holomorphic vector bundles over a complex manifold, labelled by the vertices of a quiver,
linked by a set of morphisms twisted by a fixed collection of holomorphic vector bundles, labelled by the arrows. When the
manifold is K?hler, quiver bundles admit natural gauge-theoretic equations, which unify many known equations for bundles with
extra structure. In this paper we prove a Hitchin–Kobayashi correspondence for twisted quiver bundles over a compact K?hler
manifold, relating the existence of solutions to the gauge equations to a stability criterion, and consider its application
to a number of situations related to Higgs bundles and dimensional reductions of the Hermitian–Einstein equations.
Received: 10 December 2001 / Accepted: 10 November 2002
Published online: 28 May 2003
RID="⋆"
ID="⋆" Current address: Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK. E-mail:L.Alvarez-Consul@maths.bath.ac.uk
RID="⋆⋆"
ID="⋆⋆" Current address: Instituto de Matemáticas y Física Fundamental, CSIC, Serrano 113 bis, 28006 Madrid, Spain. E-mail:oscar.garcia-prada@uam.es
Communicated by R.H. Dijkgraaf 相似文献
19.
20.
We find through a systematic analysis that all but 29,223 of the 473.8 million 4D reflexive polytopes found by Kreuzer and Skarke have a 2D reflexive subpolytope. Such a subpolytope is generally associated with the presence of an elliptic or genus one fibration in the corresponding birational equivalence class of Calabi-Yau threefolds. This extends the growing body of evidence that most Calabi-Yau threefolds have an elliptically fibered phase. 相似文献