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Higher rank stable pairs and virtual localization
Higher rank stable pairs virtual localization
2010/12/27
We introduce a higher rank analog of the Pandharipande-Thomas theory of stable pairs on a Calabi-Yau threefold $X$. More precisely, we develop a moduli theory for frozen triples given by the data $O^...
General relativity, differential geometry, and unitary theories in the work of Mira Fernandes
General relativity differential geometry unitary theories
2010/12/27
An analysis of the work of Mira Fernandes on unitary theories is presented.
Scalar and Pseudoscalar Correlators in Yang-Mills Theory
Scalar Pseudoscalar Correlators Yang-Mills Theory
2010/12/27
Correlation functions of the FF and F\tilde{F} operators in hot SU(3) Yang-Mills theory have recently been studied both on the lattice and in perturbation theory, and the results subsequently compare...
N=4 Supersymmetric Yang-Mills theory in soft-collinear effective theory
N=4 Supersymmetric Yang-Mills theory soft-collinear effective theory
2010/12/27
We formulate N=4 supersymmetric Yang-Mills theory in terms of soft-collinear effective theory. The effective Lagrangian in soft-collinear effective theory is developed according to the power counting ...
Irreducible Highest Weight Representations Of The Simple n-Lie Algebra
Irreducible Highest Weight Representations Simple n-Lie Algebra
2010/12/24
A. Dzhumadil'daev classified all irreducible finite dimensional representations of the simple n-Lie algebra. Using a slightly different approach, we obtain in this paper a complete classification of ...
Effective Non-Hermitian Hamiltonians for Studying Resonance Statistics in Open Disordered Systems
Non-Hermitian Hamiltonians Studying Resonance Statistics
2010/12/27
We briefly discuss construction of energy-dependent effective non-hermitian hamiltonians for studying resonances in open disordered systems
Gross-Neveu Models, Nonlinear Dirac Equations, Surfaces and Strings
Gross-Neveu Models Nonlinear Dirac Equations
2010/12/23
Recent studies of the thermodynamic phase diagrams of the Gross-Neveu model (GN2), and its chiral cousin, the NJL2 model, have shown that there are phases with inhomogeneous crystalline condensates. ...
D1-brane in Constant R-R 3-form Flux and Nambu Dynamics in String Theory
D1-brane Constant R-R 3-form Flux Nambu Dynamics String Theory
2010/12/23
We consider D1-string in a constant R-R 3-form flux background and analyze its low energy limit. The leading order low energy theory has reparametrization symmetry and is a generalization of an earli...
Ultraviolet singularities in classical brane theory
Ultraviolet singularities classical brane theory
2010/12/23
We construct for the first time an energy-momentum tensor for the electromagnetic field of a p-brane in arbitrary dimensions, entailing finite energy-momentum integrals. The construction relies on di...
Counting Majorana zero modes in superconductors
Counting Majorana zero modes superconductors
2010/12/24
A counting formula for computing the number of (Majorana) zero modes bound to topological point defects is evaluated in a gradient expansion for systems with charge-conjugation symmetry. This semi-cl...
Symmetry energy of dense matter in holographic QCD
Symmetry energy dense matter holographic QCD
2010/12/24
We study the nuclear symmetry energy of dense matter using holographic QCD. To this end, we consider two flavor branes with equal quark masses in a D4/D6/D6 model. We find that at high density the sym...
Supersymmetry restoration in lattice formulations of 2D $\mathcal{N}=(2,2)$ WZ model based on the Nicolai map
Supersymmetry restoration lattice formulations
2010/12/24
For lattice formulations of the two-dimensional $\mathcal{N}=(2,2)$ Wess--Zumino (2D $\mathcal{N}=(2,2)$ WZ) model on the basis of the Nicolai map, we show that supersymmetry (SUSY) and other symmetri...
On the better behaved version of the GKZ hypergeometric system
the better behaved version the GKZ hypergeometric system
2010/12/27
We define a version of the generalized hypergeometric system introduced by Gelfand, Kapranov and Zelevinski (GKZ) suited for the case when the underlying lattice is replaced by a finitely generated a...
Spin chains with non-diagonal boundaries and trigonometric SOS model with reflecting end
Spin chains non-diagonal boundaries trigonometric SOS model
2010/12/24
In this paper we consider two a priori very different problems: construction of the eigenstates of the spin chains with non parallel boundary magnetic fields and computation of the partition function ...
Dynamics and Thermodynamics of (2+1)-Dimensional Evolving Lorentzian Wormhole
Dynamics Thermodynamics of (2+1)-Dimensional Evolving Lorentzian Wormhole
2010/12/27
In this paper we study the relationship between the Einstein field equations for the (2+1)-dimensional evolving wormhole and the first law of thermodynamics. It has been shown that the Einstein field...