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Drinfeld doubles of finite subgroups of SU(2) and SU(3) are investigated in detail. Their modular data - S, T and fusion matrices - are computed explicitly, and illustrated by means of fusion graphs. This allows us to reexamine certain…

Mathematical Physics · Physics 2013-09-03 Robert Coquereaux , Jean-Bernard Zuber

Boundary states for D-branes at orbifold fixed points are constructed in close analogy with Cardy's derivation of consistent boundary states in RCFT. Comments are made on the interpretation of the various coefficients in the explicit…

High Energy Physics - Theory · Physics 2010-02-03 M. Billo' , B. Craps , F. Roose

We consider D-branes wrapped around supersymmetric cycles of Calabi-Yau manifolds from the viewpoint of N=2 Landau-Ginzburg models with boundary as well as by consideration of boundary states in the corresponding Gepner models. The…

High Energy Physics - Theory · Physics 2009-10-31 Suresh Govindarajan , T. Jayaraman , Tapobrata Sarkar

We study four-dimensional superconformal field theories living on the worldvolume of $D3$ branes probing minimally-supersymmetric F-theory backgrounds, focusing on the case of orbi-orientifold setups with and without 7-branes. We observe…

High Energy Physics - Theory · Physics 2023-04-24 Simone Giacomelli , Raffaele Savelli

The behaviour of D2-branes on the quintic under complex structure deformations is analysed by combining Landau-Ginzburg techniques with methods from conformal field theory. It is shown that the boundary renormalisation group flow induced by…

High Energy Physics - Theory · Physics 2010-03-05 Marco Baumgartl , Ilka Brunner , Matthias R. Gaberdiel

We study brane configurations in the presence of orientifold six-planes. After deriving the curves for N=2 supersymmetric SU(Nc) gauge theories with one flavor in the symmetric or antisymmetric representation and Nf fundamental flavors, we…

High Energy Physics - Theory · Physics 2010-02-03 Karl Landsteiner , Esperanza Lopez , David A. Lowe

We present supersymmetry breaking four dimensional orientifolds of type IIA strings. The compact space is a torus times a four dimensional orbifold. The orientifold group reflects one direction in each torus. RR tadpoles are cancelled by…

High Energy Physics - Theory · Physics 2010-05-28 Stefan Forste , Gabriele Honecker , Ralph Schreyer

The interplay between gravitational couplings on branes and the occurrence of fractional flux in low dimensional orientifolds is examined. It is argued that gravitational couplings need to be assigned not only to D-branes but also to…

High Energy Physics - Theory · Physics 2009-10-30 Keshav Dasgupta , Dileep P. Jatkar , Sunil Mukhi

We compute the elliptic genera of orbifolds associated with $N=2$ super--conformal theories which admit a Landau-Ginzburg description. The identification of the elliptic genera of the macroscopic Landau-Ginzburg orbifolds with those of the…

High Energy Physics - Theory · Physics 2016-09-06 P. Di Francesco , O. Aharony , S. Yankielowicz

We study the interplay between mass deformations and unoriented projections of super-conformal quiver gauge theories resulting from D3-branes at (toric) Calabi-Yau singularities. We focus on simple orbifold cases…

High Energy Physics - Theory · Physics 2020-07-28 Massimo Bianchi , Davide Bufalini , Salvo Mancani , Fabio Riccioni

Recently Witten proposed to consider elliptic genus in $N=2$ superconformal field theory to understand the relation between $N=2$ minimal models and Landau-Ginzburg theories. In this paper we first discuss the basic properties satisfied by…

High Energy Physics - Theory · Physics 2009-02-23 Toshiya Kawai , Yasuhiko Yamada , Sung-Kil Yang

In this article we describe extensions of some K-theory classes of Heisenberg modules over higher-dimensional noncommutative tori to projective modules over crossed products of noncommutative tori by finite cyclic groups, aka noncommutative…

Operator Algebras · Mathematics 2019-01-29 Sayan Chakraborty , Franz Luef

We study D-branes in the mirror pair N=2 Liouville / supersymmetric SL(2,R)/U(1) coset superconformal field theories. After revisiting the duality between the two models, we build D0, D1 and D2 branes, on the basis of the boundary state…

High Energy Physics - Theory · Physics 2010-04-05 Dan Israel , Ari Pakman , Jan Troost

We study conformal field theory on two-dimensional orbifolds and show this to be an effective way to analyze physical effects of geometric singularities with angular deficits. They are closely related to boundaries and cross caps.…

High Energy Physics - Theory · Physics 2014-11-18 Zheng Yin

We study dimensional reductions of M-theory/type II strings down to 6D in the presence of fluxes and spacetime filling branes and orientifold planes of different types. We classify all inequivalent orientifold projections giving rise to…

High Energy Physics - Theory · Physics 2020-05-20 Giuseppe Dibitetto , Jose J. Fernandez-Melgarejo , Masato Nozawa

In this note we discuss D-branes on T^4/Z_2 using the boundary states formalism. Explicit formulas for the untwisted boundary states inherited from the underlying T^4 and twisted states corresponding to branes wrapping collapsed 2-cycles at…

High Energy Physics - Theory · Physics 2009-10-31 Ilka Brunner , Rami Entin , Christian Romelsberger

We use the permutation symmetry between the product of several group manifolds in combination with orbifolds and T-duality to construct new classes of symmetry breaking branes on products of group manifolds. The resulting branes mix the…

High Energy Physics - Theory · Physics 2010-04-05 Gor Sarkissian , Marija Zamaklar

We study renormalization-group flow patterns in theories arising on D1-branes in various supersymmetry-breaking backgrounds. We argue that the theory of N D1-branes transverse to an orbifold space can be fine-tuned to flow to the…

High Energy Physics - Theory · Physics 2010-02-03 Eva Silverstein , Yun S. Song

We investigate orientifolds of type II string theory on K3 and Calabi-Yau 3-folds with intersecting D-branes wrapping special Lagrangian cycles. We determine quite generically the chiral massless spectrum in terms of topological invariants…

High Energy Physics - Theory · Physics 2009-11-07 Ralph Blumenhagen , Volker Braun , Boris Kors , Dieter Lust

We study conformal field theories (CFTs) on curved spaces including both orientable and unorientable manifolds possibly with boundaries. We first review conformal transformations on curved manifolds. We then compute the identity components…

High Energy Physics - Theory · Physics 2023-02-24 Ken Kikuchi