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We discuss issues related to orientifolds and the brane realization for gauge theories with orthogonal and symplectic groups. We specifically discuss the case of theories with (hidden) global SO(2n) symmetry, from three to six dimensions.…

高能物理 - 理论 · 物理学 2009-10-31 Amihay Hanany , Alberto Zaffaroni

The study of brane-antibrane configurations in string theory leads to the understanding of supersymmetric D$p$-branes as the bound states of higher dimensional branes. Configurations of pairs brane-antibrane do admit in a natural way their…

高能物理 - 理论 · 物理学 2009-10-31 Hugo Garcia-Compean

Based on the recently discovered K-theory description of D-branes in string theory a K-theory interpretation of the topology of gauge conditions for four dimensional gauge theories, in particular 't Hooft abelian projection, is presented.…

高能物理 - 理论 · 物理学 2009-11-07 Cesar Gomez

Symmetry Theories (SymThs) provide a flexible framework for analyzing the global categorical symmetries of a $D$-dimensional QFT$_{D}$ in terms of a $(D+1)$-dimensional bulk system SymTh$_{D+1}$. In QFTs realized via local string…

高能物理 - 理论 · 物理学 2025-02-04 Jonathan J. Heckman , Max Hübner

In this note we propose that D-brane charges, in the presence of a topologically non-trivial B-field, are classified by the K-theory of an infinite dimensional C^*-algebra. In the case of B-fields whose curvature is pure torsion our…

高能物理 - 理论 · 物理学 2014-11-18 P. Bouwknegt , V. Mathai

In string theory, the concept of T-duality between two principal U(1)-bundles E_1 and E_2 over the same base space B, together with cohomology classes $h_1\in H^3(E_1)$ and $h_2\in H^3(E_2)$, has been introduced. One of the main virtues of…

几何拓扑 · 数学 2010-11-26 Ulrich Bunke , Thomas Schick

We describe a categorical framework for the classification of D-branes on noncommutative spaces using techniques from bivariant K-theory of C*-algebras. We present a new description of bivariant K-theory in terms of noncommutative…

高能物理 - 理论 · 物理学 2009-07-07 Jacek Brodzki , Varghese Mathai , Jonathan Rosenberg , Richard J. Szabo

D-brane charges in orientifold string theories are classified by the KR-theory of Atiyah. However, this is assuming that all O-planes have the same sign. When there are O-planes of different signs, physics demands a "KR-theory with a sign…

高能物理 - 理论 · 物理学 2014-10-14 Charles Doran , Stefan Mendez-Diez , Jonathan Rosenberg

We study the quantum broadening (width) of k-strings. We generalise an old result by Luscher, Munster and Weisz to the case of a k-string, by using the gauge/gravity correspondence. When the fundamental QCD-string is replaced by a bound…

高能物理 - 理论 · 物理学 2008-11-26 Adi Armoni , Jefferson M. Ridgway

The complete D-brane spectrum in $\Zop_2$ orientifolds is computed. Stable non-BPS D-branes with both integral and torsion charges are found. The relation to K-theory is discussed and a new K-theory relevant to orientifolds is suggested.

高能物理 - 理论 · 物理学 2015-06-26 B. Stefanski , jr

In this thesis the close relationship between the topological $K$-homology group of the spacetime manifold $X$ of string theory and D-branes in string theory is examined. An element of the $K$-homology group is given by an equivalence class…

K理论与同调 · 数学 2013-06-04 Bei Jia

We present an encompassing treatment of D-brane charges in supersymmetric SO(3) WZW models. There are two distinct supersymmetric CFTs at each even level: the standard bosonic SO(3) modular invariant tensored with free fermions, as well as…

高能物理 - 理论 · 物理学 2011-10-10 Volker Braun , Sakura Schafer-Nameki

Recently it has been observed that branes in geometric engineering and holography have a striking connection with generalized global symmetries. In this paper we argue that branes, in a certain topological limit, not only furnish the…

高能物理 - 理论 · 物理学 2023-06-29 Fabio Apruzzi , Federico Bonetti , Dewi S. W. Gould , Sakura Schafer-Nameki

D-branes are classified by twisted K-theory. Yet twisted K-theory is often hard to calculate. We argue that, in the case of a compactification on a simply-connected six manifold, twisted K-theory is isomorphic to a much simpler object,…

高能物理 - 理论 · 物理学 2010-10-27 Andres Collinucci , Jarah Evslin

We analyse unstable D-brane systems in type I string theory. Generalizing the proposal in hep-th/0108085, we give a physical interpretation for real KK-theory and claim that the D-branes embedded in a product space X x Y which are made from…

高能物理 - 理论 · 物理学 2009-11-07 T. Asakawa , S. Sugimoto , S. Terashima

A dual pair of supersymmetric string theories that involves an asymmetric orbifold and an orientifold of Type II is considered. The D-branes of the orbifold theory (that were recently determined by Gutperle) are all non-BPS and do not carry…

高能物理 - 理论 · 物理学 2010-02-03 Matthias R. Gaberdiel , Sakura Schafer-Nameki

The doubled formulation of string theory, which is T-duality covariant and enlarges spacetime with extra coordinates conjugate to winding number, is reformulated and its geometric and topological features examined. It is used to formulate…

高能物理 - 理论 · 物理学 2008-11-26 C M Hull

Just as D-brane charge of Type IIA and Type IIB superstrings is classified, respectively, by K^1(X) and K(X), Ramond-Ramond fields in these theories are classified, respectively, by K(X) and K^1(X). By analyzing a recent proposal for how to…

高能物理 - 理论 · 物理学 2010-04-07 Gregory Moore , Edward Witten

It has been shown recently that the geometry of D-branes in general topologically twisted (2,2) sigma-models can be described in the language of generalized complex structures. On general grounds such D-branes (called generalized complex…

高能物理 - 理论 · 物理学 2007-05-23 Anton Kapustin , Yi Li

Dynamical quantum field theories (QFTs), such as those in which spacetimes are equipped with a metric and/or a field in the form of a smooth map to a target manifold, can be formulated axiomatically using the language of…

高能物理 - 理论 · 物理学 2024-05-16 Ben Gripaios , Oscar Randal-Williams , Joseph Tooby-Smith