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All N=4 conformal supergravities in four space-time dimensions are constructed. These are the only N=4 supergravity theories whose actions are invariant under off-shell supersymmetry. They are encoded in terms of a holomorphic function that…

High Energy Physics - Theory · Physics 2017-10-31 Daniel Butter , Franz Ciceri , Bernard de Wit , Bindusar Sahoo

We show that the $N=2$ superstring in $d=2D\ge6$ real dimensions, with criticality achieved by including background charges in the two real time directions, exhibits a ``coordinate-freezing'' phenomenon, whereby the momentum in one of the…

High Energy Physics - Theory · Physics 2009-10-07 H. Lu , C. N. Pope , X. J. Wang , K. W. Xu

The effective field equations of motion for a mixed theory of open and closed (2,2) world-sheet supersymmetric critical strings are shown to be integrable in the case of an abelian gauge group. The Born-Infeld-type effective action in 2+2…

High Energy Physics - Theory · Physics 2007-05-23 Sergei V. Ketov

We reduce the dual version of $D=10$, $N=1$ supergravity coupled to $n$ vector fields to four dimensions, and derive the $SL(2,R)\times O(6,6+n)$ transformations which leave the equations of motion invariant. For $n=0$ $SL(2,R)$ is also a…

High Energy Physics - Theory · Physics 2016-09-06 H. J. Boonstra , M. de Roo

The theory presented in this monograph establishes the first mathematically rigorous result on the global nonlinear stability of self-gravitating matter under small perturbations of an asymptotically flat, spacelike hypersurface of…

General Relativity and Quantum Cosmology · Physics 2017-07-04 Philippe G. LeFloch , Yue Ma

We show how to make a topological string theory starting from an $N=4$ superconformal theory. The critical dimension for this theory is $\hat c= 2$ ($c=6$). It is shown that superstrings (in both the RNS and GS formulations) and critical…

High Energy Physics - Theory · Physics 2009-10-28 Nathan Berkovits , Cumrun Vafa

We investigate maximally symmetric backgrounds in nonsupersymmetric string vacua with D-branes and O-planes localized in the compact space. We find a class of solutions with a perturbative string coupling constant in all regions of…

High Energy Physics - Theory · Physics 2009-11-07 E. Dudas , J. Mourad , C. Timirgaziu

We study the quantization of the bosonic sector of supermembrane theory in double dimensional reduction, in order to extract the dependence of the resulting world-sheet action on the string dilaton (which cannot be obtained from a purely…

High Energy Physics - Theory · Physics 2023-06-21 Krzysztof A. Meissner , Hermann Nicolai

The action of the 11D supermembrane with nontrivial central charges compactified on a 7D toroidal manifold is obtained. It describes a supermembrane evolving in a 4d Minkowski space-time. The action is invariant under additional symmetries…

High Energy Physics - Theory · Physics 2008-11-26 M. P. Garcia del Moral , J. M. Pena , A. Restuccia

An extended free fermionic construction of the internal N=1 world sheet supercurrent for four-dimensional superstring theory is given. We show how it can describe theories with massless fermions, and we discuss the corresponding N=2…

High Energy Physics - Theory · Physics 2015-06-26 David M. Pierce

We show that 4-dimensional maximally symmetric spacetimes can be obtained from a coherent state quantisation of gravity, always resulting in geometries that approach the Minkowski vacuum exponentially away from the radius of curvature. A…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Pedro Meert , Andrea Giusti , Roberto Casadio

In the Minkowski space-time, a world hyper-sheet is a timelike hypersurface consisting of a one-parameter family of spacelike submanifolds. Recently, Bousso and Randall introduced the notion of caustics of world hyper-sheets in order to…

Differential Geometry · Mathematics 2015-04-01 Shyuichi Izumiya

Redefining the vacuum state of a free two-fold $N=1$ covariant supersymmetric string action as the one with all the excited states of world-sheet fermions occupied, makes the theory anomaly free in (3+1)+4 dimensions. While in the $NS$…

High Energy Physics - Theory · Physics 2022-03-23 J. S. Bhattacharyya

The IIB matrix model has been suggested as a particular formulation of nonperturbative superstring theory (M-theory). It has now been realized that an emerging classical spacetime may reside in its large-$N$ master field. This bosonic…

High Energy Physics - Theory · Physics 2022-11-29 F. R. Klinkhamer

We revisit the (untwisted) superfield approach to one-dimensional multi-particle systems with N=4 superconformal invariance. The requirement of a standard (flat) bosonic kinetic energy implies the existence of inertial (super-)coordinates,…

High Energy Physics - Theory · Physics 2015-05-13 Sergey Krivonos , Olaf Lechtenfeld , Kirill Polovnikov

The moduli space of the maximally supersymmetric heterotic string in d-dimensional Minkowski space contains various components characterized by the rank of the gauge symmetries of the vacua they parametrize. We develop an approach for…

High Energy Physics - Theory · Physics 2020-06-16 Hervé Partouche , Balthazar de Vaulchier

The previously proposed generalized action principle approach to supersymmetric extended objects is considered in some details for the case of heterotic string in $D=3, 4, 6 ~and~ 10$ space--time dimensions. The proof of the 'off--shell'…

High Energy Physics - Theory · Physics 2007-05-23 Igor A. Bandos

The bosonic string in D dimensional Minkowski space-time is quantized in static gauge. It is shown that the system can be described by D-1 massless free fields constrained on the surface L_m = 0, for m \neq 0, where L_m are the generators…

High Energy Physics - Theory · Physics 2015-06-05 George Jorjadze , Jan Plefka , Jonas Pollok

We show that $4$-dimensional Robertson-Walker spacetimes can be constructed for which all of the beta functions vanish to leading order, yielding consistent string theory without extra dimensions. We find that there is a unique static…

High Energy Physics - Theory · Physics 2025-02-03 Jaroslaw S. Jaracz

We herein set forth intrinsically four-dimensional string solutions and analyze some of its properties. The solutions are constructed as gauged WZW models of the coset $SO(2,2)/SO(2)\times SO(1,1)$. We recover backgrounds having metric and…

High Energy Physics - Theory · Physics 2009-10-30 Leopoldo A. Pando Zayas