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The most impressively prolific exploration of superstring models (aiming for our physical reality) has been focused on worldsheet-supersymmetric gauged linear sigma models and the closely associated complex-algebraic toric geometry. Mirror…

High Energy Physics - Theory · Physics 2026-05-11 Tristan Hübsch

We construct a novel orientifold of type IIB string theory that breaks all supersymmetries. It is a closed string theory without open sector and it can be understood as a Scherk-Schwarz deformation in which supersymmetry is restored at…

High Energy Physics - Theory · Physics 2024-11-05 Guillaume Bossard , Gabriele Casagrande , Emilian Dudas

We suggest to compactify the universal covering of the moduli space of complex structures by non-commutative spaces. The latter are described by certain categories of sheaves with connections which are flat along foliations. In the case of…

Quantum Algebra · Mathematics 2007-05-23 Yan Soibelman

We review some recent developments in the construction of integrable $\eta$- and $\lambda$-deformations of the $AdS_5 \times S^5$ superstring. We highlight their link with Poisson-Lie T-duality.

High Energy Physics - Theory · Physics 2016-11-03 Daniel C. Thompson

We study long-wavelength supersymmetric deformations of brane solutions in supergravity using an extension of previous ideas within the general scheme of the blackfold approach. As a concrete example, we consider long-wavelength…

High Energy Physics - Theory · Physics 2015-06-18 Vasilis Niarchos

We study local mirror symmetry on non-compact Calabi-Yau manifolds (conifold type of singularities) in the presence of D3 brane probes. Using an intermediate brane setup of NS 5-branes `probed' by D4 resp. D5 branes, we can explicitly…

High Energy Physics - Theory · Physics 2009-10-07 Mina Aganagic , Andreas Karch , Dieter Lust , Andre Miemiec

In recent years, pi-conjugated polymers are attracting considerable interest in view of their light-dependent torsional reorganization around the pi-conjugated backbone, which determines peculiar light-emitting properties. Motivated by the…

Chemical Physics · Physics 2021-05-19 Mariagrazia Fortino , Concetta Cozza , Massimiliano Bonomi , Adriana Pietropaolo

The simplest example of the $\lambda$-deformation connects the SU(2) Wess-Zumino-Witten model with the non-Abelian T-dual (NATD) of the SU(2) principal chiral model. We analyze spinning strings with one spin propagating through the…

High Energy Physics - Theory · Physics 2023-05-12 Rafael Hernandez , Roberto Ruiz , Konstantinos Sfetsos

We study compactifications of Matrix theory on twisted tori and non-commutative versions of them. As a first step, we review the construction of multidimensional twisted tori realized as nilmanifolds based on certain nilpotent Lie algebras.…

High Energy Physics - Theory · Physics 2013-05-30 Athanasios Chatzistavrakidis , Larisa Jonke

We consider the so called combined energy of a deformation between two concentric annuli and minimize it, provided that it keep order of the boundaries. It is an extension of the corresponding result of Euclidean energy. It is intrigue…

Complex Variables · Mathematics 2018-03-16 David Kalaj

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

Intersecting branes have been the subject of string model building for several years. This work introduces in detail the toroidal and Z_N-orientifolds, where the main discussion employs the picture of intersecting D6-branes. The derivation…

High Energy Physics - Theory · Physics 2011-07-19 Tassilo Ott

We consider type IIB string theory on an $AdS_5 \times S^5/\mathbb{Z}_2$ orbifold background, which should be dual to 4d $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ gauge theory with two bi-fundamental hypermultiplets. The correlator…

High Energy Physics - Theory · Physics 2024-07-12 Torben Skrzypek , Arkady A. Tseytlin

We discuss an effective way for analyzing the system on the magnetized twisted orbifolds in operator formalism, especially in the complicated cases $T^{2}/Z_{3}$, $T^{2}/Z_{4}$ and $T^{2}/Z_{6}$. We can obtain the exact and analytical…

High Energy Physics - Theory · Physics 2014-12-25 Tomo-hiro Abe , Yukihiro Fujimoto , Tatsuo Kobayashi , Takashi Miura , Kenji Nishiwaki , Makoto Sakamoto

This is a comment on the Kuranishi method of constructing analytic deformation spaces. It is based on a simple observation that the Kuranishi map can always be inverted in the category of $L_{\infty}$-algebras. The $L_{\infty}$-structure…

Algebraic Geometry · Mathematics 2007-05-23 S. A. Merkulov

We present an energy expression for restricted open-shell Kohn-Sham theory for N unpaired electrons and single-electron operators for all multiplets formed from up to five unpaired electrons. It is shown that it is possible to derive an…

Chemical Physics · Physics 2008-08-11 Marius Schulte , Irmgard Frank

We study four dimensional $Z_2 \times Z_2$ (shift)-orientifolds in presence of internal magnetic fields and NS-NS $B$-field backgrounds, describing in some detail one explicit example with N=1 supersymmetry. These models are related by…

High Energy Physics - Theory · Physics 2007-05-23 Gianfranco Pradisi

We develop deformation theory for abelian invariant complex structures on a nilmanifold, and prove that in this case the invariance property is preserved by the Kuranishi process. A purely algebraic condition characterizes the deformations…

Differential Geometry · Mathematics 2007-05-23 C. McLaughlin , H. Pedersen , Y. S. Poon , S. Salamon

We investigate low-energy string excitations in AdS$_3\times$S$^3\times$T$^4$. When the worldsheet is decompactified, the theory has gapless modes whose spectrum at low energies is determined by massless relativistic integrable S matrices…

High Energy Physics - Theory · Physics 2018-12-27 Diego Bombardelli , Bogdan Stefański , Alessandro Torrielli

The investigation of the q deformation of the S-matrix for excitations on the string world sheet in AdS5 x S5 is continued. We argue that due to the lack of Lorentz invariance the situation is more subtle than in a relativistic theory in…

High Energy Physics - Theory · Physics 2012-12-05 Ben Hoare , Timothy J. Hollowood , J. Luis Miramontes
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