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The algorithm for inverting covariant exterior derivative is provided. It works for a sufficiently small star-shaped region of a fibered set - a local subset of a vector bundle and associated vector bundle. The algorithm contains some…

Differential Geometry · Mathematics 2025-05-26 Radosław Antoni Kycia , Josef Šilhan

Sigma model actions are constructed for the Type II superstring compactified to four and six dimensional curved backgrounds which can contain non-vanishing Ramond-Ramond fields. These actions are N=2 worldsheet superconformally invariant…

High Energy Physics - Theory · Physics 2011-04-15 Nathan Berkovits

11D pure spinors have been shown to successfully describe 11D supergravity in a manifestly super-Poincar\'e covariant manner. The feasibility of its actual usage for scattering amplitude computations requires an efficient manipulation of…

High Energy Physics - Theory · Physics 2023-06-01 Maor Ben-Shahar , Max Guillen

The covariant field equations of ten-dimensional super D-branes are obtained by considering fundamental strings whose ends lie in the superworldsurface of the D-brane. By considering in a similar fashion Dp-branes ending on D(p+2)-branes we…

High Energy Physics - Theory · Physics 2009-10-31 C. S. Chu , P. S. Howe , E. Sezgin

It is shown that the Stelle-West Grignani-Nardelli-formalism allows, both when odd dimensions and when even dimensions are considered, constructing actions for higher dimensional gravity invariant under local Lorentz rotations and under…

General Relativity and Quantum Cosmology · Physics 2009-02-11 P. Salgado , M. Cataldo , S. del Campo

Here we consider a gravitational action having local Poincare invariance which is given by the dimensional continuation of the Euler density in ten dimensions. It is shown that the local supersymmetric extension of this action requires the…

High Energy Physics - Theory · Physics 2009-11-10 Mokhtar Hassaine , Ricardo Troncoso , Jorge Zanelli

In a recent paper Townsend suggested to associate to the D=11 solitonic membrane of N=1 supergravity a certain thickness, and then to identify this membrane with the fundamental supermembrane. By integrating out the 8 transverse dimensions…

High Energy Physics - Theory · Physics 2015-06-26 F. Aldabe , A. L. Larsen

Finite rank perturbations of diagonalizable normal operators acting boundedly on infinite dimensional, separable, complex Hilbert spaces are considered from the standpoint of view of the existence of invariant subspaces. In particular, if…

Functional Analysis · Mathematics 2024-02-01 Eva A. Gallardo-Gutiérrez , F. Javier González-Doña

Eleven-dimensional supergravity reveals large exceptional symmetries upon reduction, in accordance with the U-duality groups of M-theory, but their higher-dimensional geometric origin has remained a mystery. In this letter, we show that…

High Energy Physics - Theory · Physics 2013-12-16 Olaf Hohm , Henning Samtleben

Using the manifestly spacetime-supersymmetric version of open superstring field theory, we construct the free action for the first massive states of the open superstring compactified to four dimensions. This action is in N=1 D=4 superspace…

High Energy Physics - Theory · Physics 2009-10-31 N. Berkovits , M. M. Leite

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

In this paper, we use the superconformal approach to derive the higher derivative action for N = 3 Poincare supergravity in four space-time dimensions. We first study the coupling of N = 3 vector multiplets to conformal supergravity.…

High Energy Physics - Theory · Physics 2023-03-22 Subramanya Hegde , Madhu Mishra , Debangshu Mukherjee , Bindusar Sahoo

We derive the ten-dimensional effective action of the strongly coupled heterotic string as the low energy limit of M-theory on S^1/Z_2. In contrast to a conventional dimensional reduction, it is necessary to integrate out nontrivial heavy…

High Energy Physics - Theory · Physics 2009-10-31 Andre Lukas , Burt Ovrut , Daniel Waldram

By replacing two of the bosonic scalar superfields of the N=2 string with fermionic scalar superfields (which shifts $d_{critical}$ from (2,2) to (9,1)), a quadratic action for the ten-dimensional Green-Schwarz superstring is obtained.…

High Energy Physics - Theory · Physics 2007-05-23 Nathan Berkovits

We study a systematic derivation of four dimensional $\mathcal{N}=1$ supersymmetric effective theory from ten dimensional non-Abelian Dirac-Born-Infeld action compactified on a six dimensional torus with magnetic fluxes on the D-branes. We…

High Energy Physics - Theory · Physics 2022-01-05 Yoshihiko Abe , Tetsutaro Higaki , Tatsuo Kobayashi , Shintaro Takada , Rei Takahashi

The supersymmetric action of type IIA D=10 superstring in N=2a, D=10 supergravity background can be derived by double dimensional reduction of the action of supermembrane coupled to D=11 supergravity. We demonstrate that the background…

High Energy Physics - Theory · Physics 2010-04-06 A. A. Tseytlin

We analyze the reduction to four dimensions of the R^4 terms which are part of the ten-dimensional string effective actions, both at tree level and one loop. We show that there are two independent combinations of R^4 present, at one loop,…

High Energy Physics - Theory · Physics 2010-10-27 Filipe Moura

We construct the supersymmetric effective action at order alpha'^4 of the abelian open superstring. It includes the alpha'^4 terms in the abelian Born-Infeld action, and in particular the leading derivative correction of the form d^4F^4.…

High Energy Physics - Theory · Physics 2009-11-07 Andres Collinucci , Mees de Roo , Martijn G. C. Eenink

We develop a formalism that allows us to write actions for multiple D-branes with manifest general covariance. While the matrix coordinates of the D-branes have a complicated transformation law under coordinate transformations, we find that…

High Energy Physics - Theory · Physics 2009-11-10 Dominic Brecher , Kazuyuki Furuuchi , Henry Ling , Mark Van Raamsdonk

We construct Lorentz invariant and gauge invariant 1PI effective action for closed and open superstrings and demonstrate that it satisfies the classical BV master equation. We also construct the quantum master action for this theory…

High Energy Physics - Theory · Physics 2019-12-04 Seyed Faroogh Moosavian , Ashoke Sen , Mritunjay Verma