Strings and branes are waves

Abstract:We provide the canonical formulation of double field theory. It is shown that this dynamics is subject to primary and secondary constraints. The Poisson bracket algebra of secondary constraints is shown to close on-shell according to the C-bracket. A systematic way of writing boundary integrals in doubled geometry is given. By including appropriate boundary terms in the double field theory Hamiltonian, expressions for conserved energy and momentum of an asymptotically flat doubled space-time are obtained and applied to a number of solutions.

Section: Jhep10(2015)158supporting

confidence: 66%

“…Here we discuss the generalized pp-wave solution and obtain associated conserved energy and momentum. We will see that this solution actually carries momentum along thez direction as hinted in [55]. To describe the solution, let us split the generalized coordinates XM as follows: …”

Section: Jhep10(2015)158mentioning

confidence: 99%

Canonical formulation and conserved charges of double field theory

Naseer

2015

“…We proceed as before. We have the matrix 46) where the second equality is true because d = 2. Hence,…”

Section: Jhep03(2018)111mentioning

confidence: 99%

“…Substituting the explicit expressions for the backgrounds from [32] we obtain the following expression for the non-vanishing components of the Bianchi identities 46) JHEP03 (2018)111 where we include the factors 1234 = 1 and 1234 = 1 for the sake of symmetry and S M N KL is just the full expression (4.44). Note that these precisely repeat the structure of (4.39).…”

Section: Jhep03(2018)111mentioning

confidence: 99%

Five-brane actions in double field theory

Blair¹,

Musaev²

2018

Abstract:We construct an action for NSNS 5-branes which is manifestly covariant under O(d, d). This is done by doubling d of the spacetime coordinates which appear in the worldvolume action. By formulating the DBI part of the action in a manner similar to a "gauged sigma model", only half the doubled coordinates genuinely appear. Our approach allows one to describe the full T-duality orbit of the IIB NS5 brane, the IIA KKM and their exotic relations in one formalism. Furthermore, by using ideas from double field theory, our action can be said to describe various aspects of non-geometric five-branes.

“…More recent applications of the E d × R + generalised geometry can be found in [27,28]. For other extensions and applications of DFT and the extended field theory see [29][30][31] and [32].…”

Section: Jhep09(2015)153mentioning

confidence: 99%

On the exceptional generalised Lie derivative for d ≥ 7

Rosabal

2015

In this work we revisit the E 8 × R + generalised Lie derivative encoding the algebra of diffeomorphisms and gauge transformations of compactifications of M-theory on eight-dimensional manifolds, by extending certain features of the E 7 × R + one. Compared to its E d × R + , d ≤ 7 counterparts, a new term is needed for consistency. However, we find that no compensating parameters need to be introduced, but rather that the new term can be written in terms of the ordinary generalised gauge parameters by means of a connection. This implies that no further degrees of freedom, beyond those of the field content of the E 8 group, are needed to have a well defined theory. We discuss the implications of the structure of the E 8 × R + generalised transformation on the construction of the d = 8 generalised geometry. Finally, we suggest how to lift the generalised Lie derivative to eleven dimensions.