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In this Part II of D(11), we introduce new objects: super-$C^k$-schemes and Azumaya super-$C^k$-manifolds with a fundamental module (or, synonymously, matrix super-$C^k$-manifolds with a fundamental module), and extend the study in D(11.1)…

High Energy Physics - Theory · Physics 2014-12-03 Chien-Hao Liu , Shing-Tung Yau

This Ph.D. thesis investigates effective field and string theories in which supersymmetry is realized and broken in various ways. Chapter 1 addresses effective theories with nonlinearly realized supersymmetry, constructed using the…

High Energy Physics - Theory · Physics 2025-07-01 Gabriele Casagrande

We apply the supplementation trick [26] to the Green-Schwarz superstring. For type IIB theory both first and second class constraints are covariantly separated and then arranged into irreducible sets in the initial formulation. For N=1…

High Energy Physics - Theory · Physics 2009-11-07 A. A. Deriglazov

In this PhD thesis the low energy effective actions for D-branes and the M5-brane are used to analyze the dynamics of brane probes moving in the geometry created by diverse supergravity backgrounds. It begins with an introduction to string…

High Energy Physics - Theory · Physics 2016-09-06 J. M. Camino

We provide full details of a BV formulation of $\mathcal N=1$ supergravity in ten dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither…

High Energy Physics - Theory · Physics 2025-08-11 Julian Kupka , Charles Strickland-Constable , Fridrich Valach

In this paper we propose a unified approach to (topological) string theory on certain singular spaces in their large volume limit. The approach exploits the non-commutative structure of D-branes, so the space is described by an algebraic…

High Energy Physics - Theory · Physics 2010-02-03 David Berenstein , Robert G. Leigh

Two approaches concerning the connection of the fermionic kappa -- symmetry with the superstring world -- sheet superdiffeomorphism transformations are discussed. The first approach is based on the twistor -- like formulation of the…

High Energy Physics - Theory · Physics 2007-05-23 Dmitrij V. Volkov

The classical superconformal actions of branes in adS superspaces have a closed form depending on a matrix $M^2$ quadratic in fermions, as found in hep-th/9805217. One can gauge-fix the local $\kappa$-symmetry using the Killing spinors of…

High Energy Physics - Theory · Physics 2007-05-23 Renata Kallosh

The XX spin-chain with non-Hermitian diagonal boundary conditions is shown to be quasi-Hermitian for special values of the boundary parameters. This is proved by explicit construction of a new inner product employing a "quasi-fermion"…

Mathematical Physics · Physics 2012-07-20 Christian Korff

We obtain forms of Born-Infeld and D-brane actions that are quadratic in derivatives of $X$ and linear in $F_{\mu \nu}$ by introducing an auxiliary `metric' which has both symmetric and anti-symmetric parts, generalising the simplification…

High Energy Physics - Theory · Physics 2009-10-30 M. Abou Zeid , C. M. Hull

A hybrid model is a fibration of a Landau-Ginzburg orbifold over a geometric base. We study B-type D-branes in hybrid models. Imposing B-type supersymmetry on the boundary action, we show that D-branes are specified by matrix factorisations…

High Energy Physics - Theory · Physics 2025-01-09 Johanna Knapp , Robert Pryor

We study classical dynamics of cylindrical membranes wrapped around the extra compact dimension of a $(D+1)$-dimensional Riemann-Cartan spacetime. The world-sheet equations and boundary conditions are obtained from the universally valid…

General Relativity and Quantum Cosmology · Physics 2011-03-10 Milovan Vasilic

This thesis is based on two papers by the author and consists of two parts. We review the recent developments in the theory of multiple M2-branes and 3-algebras leading to multiple D2-brane theories. The inclusion of flux terms for the…

High Energy Physics - Theory · Physics 2012-06-29 Gurdeep S. Sehmbi

We present a new form of kappa-symmetry transformations for D-branes in which the dependence on the Born-Infeld field strength is expressed as a relative rotation on the left- and right-moving fields with opposite parameters. Then, we apply…

High Energy Physics - Theory · Physics 2009-10-09 E. Bergshoeff , R. Kallosh , T. Ortin , G. Papadopoulos

This thesis is devoted to the study of a class of constructions based on Superstring Theory, baptized in the literature as Intersecting Brane Worlds. In particular we explore several issues regarding the proposal of Intersecting Brane…

High Energy Physics - Theory · Physics 2007-05-23 Fernando Marchesano

Spin interactions beteween two moving Dp-branes are analyzed using the Green-Schwarz formalism of boundary states. This approach turns out to be extremely efficient to compute all the spin effects related by supersymmetry to the leading…

High Energy Physics - Theory · Physics 2009-10-31 J. F. Morales , J. C. Plefka , C. A. Scrucca , M. Serone , A. K. Waldron

Motivated by the M-theory compactification physics, we study a type IIA superstring quiver model with an open string axion field associated with the U(1)_{PQ} Peccei-Quinn global symmetry using D6-brane physics. This realization extends the…

High Energy Physics - Theory · Physics 2017-10-24 Adil Belhaj , Salah-Eddine Ennadifi

We reconstruct boundary superstring field theory via boundary states. After a minor modification of the fermionic two-form, all the equations needed for Batalin-Vilkovisky formulation are simply represented by closed string oscillators and…

High Energy Physics - Theory · Physics 2009-12-04 Akira Ishida , Shunsuke Teraguchi

In this thesis we initiate a systematic study of branes in Wess-Zumino-Novikov-Witten models with Lie supergroup target space. We start by showing that a branes' worldvolume is a twisted superconjugacy class and construct the action of the…

High Energy Physics - Theory · Physics 2009-08-14 Thomas Creutzig

The lowest order quantum corrections to the effective action arising from quantized massive fermion fields in the Randall-Sundrum background spacetime are computed. The boundary conditions and their relation with gauge invariance are…

High Energy Physics - Theory · Physics 2014-11-18 Antonino Flachi , Ian G Moss , David J Toms