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A new global approach in the study of duality transformations is introduced. The geometrical structure of complex line bundles is generalized to higher order U(1) bundles which are classified by quantized charges and duality maps are…

高能物理 - 理论 · 物理学 2008-02-03 M. I. Caicedo , I. Martin , A. Restuccia

${\bf Z}_2\times {\bf Z}_2$ Coxeter orbifolds are constructed with the property that some twisted sectors have fixed planes for which the six-torus can not be decomposed into a direct sum ${\bf T}^2\bigoplus{\bf T}^4 $ with the fixed plane…

高能物理 - 理论 · 物理学 2015-06-26 D. Bailin , A. Love , W. A. Sabra , S. Thomas

We discuss non-perturbative aspects of string effective field theories with N=1 supersymmetry in four dimensions. By the use of a scalar potential, which is on-shell invariant under the supersymmetric duality of the dilaton, we study…

高能物理 - 理论 · 物理学 2009-10-07 Ingo Gaida , Dieter Luest

Electric-magnetic duality and higher dimensional analogues are obtained as symmetries in generalized coset constructions, similar to the axial-vector duality of two dimensional coset models described by Rocek and Verlinde. We also study…

高能物理 - 理论 · 物理学 2009-10-28 J. L. F. Barbon

We study the topology of T-duality for pairs of U(1)-bundles and three-dimensional integral cohomology classes over orbispaces. In particular, our results apply to U(1)-spaces with finite isotropy. We generalize the theory developed in our…

几何拓扑 · 数学 2010-05-10 Ulrich Bunke , Thomas Schick

We study a supersymmetric field theory in six dimensions compactified on the orbifold T^2/Z_2 with two Wilson lines. After supersymmetry breaking, the Casimir energy fixes the shape moduli at fixed points in field space where the symmetry…

高能物理 - 理论 · 物理学 2009-08-11 Wilfried Buchmuller , Riccardo Catena , Kai Schmidt-Hoberg

I discuss the role of spacetime supersymmetry in the interplay between strong/weak coupling duality and target space duality in string theory which arises in string/string duality. This can be seen via the construction of string soliton…

高能物理 - 理论 · 物理学 2007-05-23 Ramzi R. Khuri

A way of covariantizing duality symmetric actions is proposed. As examples considered are a manifestly space-time invariant duality--symmetric action for abelian gauge fields coupled to axion-dilaton fields and gravity in D=4, and a…

高能物理 - 理论 · 物理学 2007-05-23 Paolo Pasti , Dmitrij Sorokin , Mario Tonin

Complexified spacetime algebra is defined as the geometric (Clifford) algebra of spacetime with complex coefficients, isomorphic $\mathcal{G}_{1,4}$. By resorting to matrix representation by means of Dirac-Pauli gamma matrices, the paper…

综合数学 · 数学 2007-05-23 Jose B. Almeida

We construct several examples where duality transformation commutes with the orbifolding procedure even when the orbifolding group does not act freely, and there are massless states from the twisted sector at a generic point in the moduli…

高能物理 - 理论 · 物理学 2009-09-15 Ashoke Sen

We identify the untwisted moduli of heterotic orbifold compactifications for the case, when the gauge twist is realized by a rotation. The Wilson lines are found to have both continuous and discrete parts. For the case of the standard Z(3)…

高能物理 - 理论 · 物理学 2014-11-18 Thomas Mohaupt

We introduce a new class of duality symmetries amongst quantum field theories. The new class is based upon global spacetime symmetries, such as Poincare invariance and supersymmetry, in the same way as the existing duality transformations…

高能物理 - 理论 · 物理学 2016-09-06 C. P. Burgess , M. T. Grisaru , M. Kamela , M. E. Knutt-Wehlau , P. Page , F. Quevedo , M. Zebarjad

We study the duality of moduli of k- and (n-k)-dimensional slices of euclidean n-cubes, and establish the optimal upper bound 1.

度量几何 · 数学 2020-07-08 Atte Lohvansuu

We discuss the non-abelian duality procedure for groups which do not act freely. As an example we consider Taub-NUT space, which has the local isometry group $SU(2) \otimes U(1)$. We dualise over the entire symmetry group as well as the…

高能物理 - 理论 · 物理学 2009-10-28 S. F. Hewson

We investigate the geometry of the moduli spaces of dual electric and magnetic N=1 supersymmetric field theories. Using the SU(N_c) gauge group as a guideline we show that the electric and magnetic moduli spaces coincide for a suitable…

高能物理 - 理论 · 物理学 2007-05-23 Ph Brax , C. Grojean , C. A. Savoy

The values of the $T$ and $U$ moduli are studied for those ${\bf Z}_N $ Coxeter orbifolds with the property that some of the twisted sectors have fixed planes for which the six-torus ${\bf T}^6 $ can not be decomposed into a direct sum…

高能物理 - 理论 · 物理学 2015-06-26 D. Bailin , A. Love , W. A. Sabra , S. Thomas

Spacetime is modelled as a homogeneous manifold given by the classes of unitary $\U(2)$ operations in the general complex operations $\GL(\C^2)$. The residual representations of this noncompact symmetric space of rank two are characterized…

高能物理 - 理论 · 物理学 2007-05-23 Heinrich Saller

We study the modular symmetry of zero-modes on $T_1^2 \times T_2^2$ and orbifold compactifications with magnetic fluxes, $M_1,M_2$, where modulus parameters are identified. This identification breaks the modular symmetry of $T^2_1 \times…

高能物理 - 理论 · 物理学 2020-12-30 Shota Kikuchi , Tatsuo Kobayashi , Hajime Otsuka , Shintaro Takada , Hikaru Uchida

We discuss an orbifold of the toroidally compactified heterotic string which gives a global reduction of the dimension of the moduli space while preserving the supersymmetry. This construction yields the moduli space of the first of a…

高能物理 - 理论 · 物理学 2009-10-09 S. Chaudhuri , J. Polchinski

Gauge theory defined on the orbifold $M^4 \times (S^1/Z_2)$ is investigated from the viewpoint of the Hosotani mechanism. Rearrangement of gauge symmetry takes place due to the dynamics of Wilson line phases. The physical symmetry of the…

高能物理 - 唯象学 · 物理学 2012-01-16 Naoyuki Haba , Masatomi Harada , Yutaka Hosotani , Yoshiharu Kawamura