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This thesis is based on some selected topics in open topological string theory which I have worked on during my Ph.D. It comprises an introductory part where I have focused on the points most needed for the later chapters, trading…

High Energy Physics - Theory · Physics 2010-10-19 Andrea Prudenziati

These lectures trace the origin of string theory as a theory of hadronic interactions (predating QCD itself) to the present ideas on how the QCD string may arise in Superstring theory in a suitably deformed background metric. The…

High Energy Physics - Theory · Physics 2009-12-14 Richard C. Brower

We expand upon a new theoretical framework for Diffusion Limited Aggregation and associated Dielectric Breakdown Models in two dimensions [R. C. Ball and E. Somfai, Phys. Rev. Lett. 89, 135503 (2002)]. Key steps are understanding how these…

Statistical Mechanics · Physics 2007-05-23 R. C. Ball , E. Somfai

Based on character decomposition, a dual transformation is introduced leading to two formulations of the theory which should allow for a removal/softening of the sign problem in the original version. Very preliminar numerical results are…

High Energy Physics - Lattice · Physics 2015-10-28 C. Torrero , O. Borisenko , V. Kushnir , B. Allés , A. Papa

In these lectures we review the properties of holomorphic couplings in the effective action of four-dimensional N=1 and N=2 closed string vacua. We briefly outline their role in establishing a duality among (classes of) different string…

High Energy Physics - Theory · Physics 2009-10-30 Jan Louis , Kristin Foerger

We argue that two four-dimensional strongly coupled superconformal field theories, on the Higgs branch in certain large N limits, become respectively (2,0) theory and (1,1) little string theory in six dimensions. We identify the spectrum of…

High Energy Physics - Theory · Physics 2009-11-07 Nima Arkani-Hamed , Andrew G. Cohen , David B. Kaplan , Andreas Karch , Lubos Motl

This is a talk delivered at the Meeting on Integrable Quantum Field Theories, Villa Olmo and at STRINGS 1992, Rome, September 1992. I discuss some recent attempts to revive two old ideas regarding an analytic approach to QCD-the development…

High Energy Physics - Theory · Physics 2007-05-23 David J. Gross

Lecture given at the International Meeting ``Boltzmann's Legacy - 150 Years after his Birth'', organized by the Accademia Nazionale dei Lincei, 25 - 28 May 1994, in Rome, to be published in: ``Atti dell"Accademia Nazionale dei Lincei'',…

Condensed Matter · Physics 2008-02-03 E. G. D. Cohen

We present a string theoretical description, given in terms of branes and orientifolds wrapping vanishing cycles, of the dual pairs of gauge theories analyzed in 1210.7799. Based on the resulting construction we argue that the duality that…

High Energy Physics - Theory · Physics 2013-10-03 Iñaki García-Etxebarria , Ben Heidenreich , Timm Wrase

In "On the homotopy theory of arrangements," published in 1986, the authors gave a comprehensive survey of the subject. This article updates and continues the earlier article, noting some key open problems.

Combinatorics · Mathematics 2007-05-23 Michael Falk , Richard Randell

We study and extend the duality web unifying different decoupling limits of type II superstring theories and M-theory. We systematically build connections to different corners, such as Matrix theories, nonrelativistic string and M-theory,…

High Energy Physics - Theory · Physics 2024-10-18 Chris D. A. Blair , Johannes Lahnsteiner , Niels A. Obers , Ziqi Yan

This talk is divided into two parts. The first part reviews some of the duality relationships between superstring theories. These relationships are interpreted as providing evidence for the existence of a unique underlying fundamental…

High Energy Physics - Theory · Physics 2009-10-28 John H. Schwarz

This article is a concise review of covariant string field theory prepared for the Encyclopedia of Mathematical Physics, Elsevier (2006). Referencing follows the publisher's guidelines.

High Energy Physics - Theory · Physics 2015-07-27 Leonardo Rastelli

We will show how the study of randomly triangulated surfaces merges with the study of open/closed string dualities. In particular we will discuss the Conformal Field Theory which arises in the open string sector and its implications.

High Energy Physics - Theory · Physics 2009-11-10 Mauro Carfora , Claudio Dappiaggi , Valeria Gili

We review the idea of our earlier proposed string field theory \cite{early1,early2,ourappear}, which makes the second quantized string theory appear as described by one or two types of stationary - so called - "objects" for string theories…

High Energy Physics - Theory · Physics 2012-12-14 Holger B. Nielsen , Masao Ninomiya

Known or essentially known results about duals of interpolation spaces are presented, taking a point of view sometimes slightly different from the usual one. Particular emphasis is placed on Alberto Calderon's theorem describing the duals…

Functional Analysis · Mathematics 2014-11-04 Michael Cwikel

This is a general introduction to duality in field theories. The existence and breaking of global symmetries is used as a guideline to systematically prove duality between different field theories. Systems discussed include abelian and…

High Energy Physics - Theory · Physics 2009-10-30 Fernando Quevedo

A survey of tessellations, which appeared in Italian in La Matematica vol 3 in 2010. The Tiling Lemma appears for the first time.

History and Overview · Mathematics 2016-06-15 Chaim Goodman-Strauss

The addition of a topological model to the matter content of a conventional closed-string theory leads to the appearance of many perturbatively-decoupled space-time worlds. We illustrate this by classifying topological vertex models on a…

High Energy Physics - Theory · Physics 2009-10-22 Costas Bachas , Marios Petropoulos

We review recent progress in Bipartite Field Theories. We cover topics such as their gauge dynamics, emergence of toric Calabi-Yau manifolds as master and moduli spaces, string theory embedding, relationships to on-shell diagrams,…

High Energy Physics - Theory · Physics 2014-04-16 Sebastian Franco , Daniele Galloni , Alberto Mariotti
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