scholarly journals Type II DFT solutions from Poisson–Lie $T$-duality/plurality

2019 ◽  
Vol 2019 (7) ◽  
Author(s):  
Yuho Sakatani
Keyword(s):  
Field Theory ◽  
General Class ◽  
Isometry Group ◽  
Equations Of Motion ◽  
Target Space ◽  
Transformation Rule ◽  
Type Ii ◽  
Duality Transformation ◽  
Duality Symmetry ◽  
Double Field Theory

Abstract String theory has $T$-duality symmetry when the target space has Abelian isometries. A generalization of $T$-duality, where the isometry group is non-Abelian, is known as non-Abelian $T$-duality, which works well as a solution-generating technique in supergravity. In this paper we describe non-Abelian $T$-duality as a kind of $\text{O}(D,D)$ transformation when the isometry group acts without isotropy. We then provide a duality transformation rule for the Ramond–Ramond fields by using the technique of double field theory (DFT). We also study a more general class of solution-generating technique, the Poisson–Lie (PL) $T$-duality or $T$-plurality. We describe the PL $T$-plurality as an $\text{O}(n,n)$ transformation and clearly show the covariance of the DFT equations of motion by using the gauged DFT. We further discuss the PL $T$-plurality with spectator fields, and study an application to the $\text{AdS}_5\times\text{S}^5$ solution. The dilaton puzzle known in the context of the PL $T$-plurality is resolved with the help of DFT.

scholarly journals Non-Riemannian gravity actions from double field theory

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
A. D. Gallegos ◽  
U. Gürsoy ◽  
S. Verma ◽  
N. Zinnato
Keyword(s):  
Field Theory ◽  
Quantum Gravity ◽  
Condensed Matter ◽  
Equations Of Motion ◽  
Technical Note ◽  
Action Principle ◽  
Relativistic Symmetry ◽  
Gravitational Theories ◽  
Double Field Theory

Abstract Non-Riemannian gravitational theories suggest alternative avenues to understand properties of quantum gravity and provide a concrete setting to study condensed matter systems with non-relativistic symmetry. Derivation of an action principle for these theories generally proved challenging for various reasons. In this technical note, we employ the formulation of double field theory to construct actions for a variety of such theories. This formulation helps removing ambiguities in the corresponding equations of motion. In particular, we embed Torsional Newton-Cartan gravity, Carrollian gravity and String Newton-Cartan gravity in double field theory, derive their actions and compare with the previously obtained results in literature.

Equations of motion in double field theory: From particles to scale factors

2011 ◽  
Vol 84 (12) ◽  
Author(s):  
Nahomi Kan ◽  
Koichiro Kobayashi ◽  
Kiyoshi Shiraishi
Keyword(s):  
Field Theory ◽  
Equations Of Motion ◽  
Scale Factors ◽  
Double Field Theory

scholarly journals Exotic dual of type II double field theory

2017 ◽  
Vol 767 ◽  
pp. 374-379 ◽  
Author(s):  
Eric A. Bergshoeff ◽  
Olaf Hohm ◽  
Fabio Riccioni
Keyword(s):  
Field Theory ◽  
Type Ii ◽  
Double Field Theory

scholarly journals U-duality in three and four dimensions

2017 ◽  
Vol 32 (27) ◽  
pp. 1750169 ◽  
Author(s):  
Emanuel Malek
Keyword(s):  
Field Theory ◽  
Symmetry Groups ◽  
Duality Group ◽  
Four Dimensions ◽  
Duality Symmetry ◽  
Double Field Theory ◽  
Duality Groups

Using generalised geometry we study the action of U-duality acting in three and four dimensions on the bosonic fields of 11-dimensional supergravity. We compare the U-duality symmetry with the T-duality symmetry of double field theory and see how the [Formula: see text] and [Formula: see text] U-duality groups reduce to the [Formula: see text] and [Formula: see text] T-duality symmetry groups of the type IIA theory. As examples we dualise M2-branes, both black and extreme. We find that uncharged black M2-branes become charged under U-duality, generalising the Harrison transformation, while extreme M2-branes will become new extreme M2-branes. The resulting tension and charges are quantised appropriately if we use the discrete U-duality group [Formula: see text].

scholarly journals STRONG–WEAK COUPLING DUALITY IN FOUR-DIMENSIONAL STRING THEORY

1994 ◽  
Vol 09 (21) ◽  
pp. 3707-3750 ◽  
Author(s):  
ASHOKE SEN
Keyword(s):  
String Theory ◽  
Weak Coupling ◽  
Bound States ◽  
Target Space ◽  
Duality Transformation ◽  
Heterotic String Theory ◽  
Yukawa Couplings ◽  
Duality Symmetry ◽  
The Relationship ◽  
Electrically Charged

We present several pieces of evidence for strong–weak coupling duality symmetry in the heterotic string theory, compactified on a six-dimensional torus. They include symmetry of the (1) low energy effective action, (2) allowed spectrum of electric and magnetic charges in the theory, (3) allowed mass spectrum of particles saturating the Bogomol'nyi bound, and (4) Yukawa couplings between massless neutral particles and massive charged particles saturating the Bogomol'nyi bound. This duality transformation exchanges the electrically charged elementary string excitations with the magnetically charged soliton states in the theory. It is shown that the existence of a strong–weak coupling duality symmetry in four-dimensional string theory makes definite predictions about the existence of new stable monopole and dyon states in the theory with specific degeneracies, including certain supersymmetric bound states of monopoles and dyons. The relationship between strong–weak coupling duality transformation in string theory and target space duality transformation in the five-brane theory is also discussed.

scholarly journals T-DUALITY OF NSR SUPERSTRING: THE WORLDSHEET PERSPECTIVE

2012 ◽  
Vol 27 (23) ◽  
pp. 1250140 ◽  
Author(s):  
JNANADEVA MAHARANA
Keyword(s):  
Equations Of Motion ◽  
Bosonic String ◽  
Target Space ◽  
Vertex Operators ◽  
Covariant Form ◽  
Dimensional Torus ◽  
Duality Symmetry ◽  
Superspace Formalism ◽  
Closed Bosonic String ◽  
Equations Of Motions

We formulate target space duality symmetry of NSR superstring from the perspectives of worldsheet. The worldsheet action is presented in the superspace formalism in the presence of massless backgrounds. We start from a [Formula: see text]-dimensional target space worldsheet action and compactify the theory on a d-dimensional torus, Td. It is assumed that the backgrounds are independent of compact (super)coordinates. We adopt the formalism of our earlier work to introduce dual supercoordinates along compact directions and introduce the corresponding dual backgrounds. It is demonstrated that combined equations of motion of the two sets of coordinates can be expressed in a manifestly O(d, d) covariant form analogous to the equations of motions for closed bosonic string derived by us. Furthermore, we show that the vertex operators associated with excited massive levels of NSR string can be expressed in an O(d, d) invariant form generalizing earlier result for closed bosonic string.

scholarly journals A note on the S-dual basis in the free fermion system

2020 ◽  
Vol 2020 (2) ◽  
Author(s):  
Shinya Sasa ◽  
Akimi Watanabe ◽  
Yutaka Matsuo
Keyword(s):  
Field Theory ◽  
Inner Product ◽  
Free Fermion ◽  
Quantum Field ◽  
Dual Basis ◽  
Fermion System ◽  
Topological Vertex ◽  
Duality Transformation ◽  
Link Invariant ◽  
Duality Symmetry

Abstract The free fermion system is the simplest quantum field theory which has the symmetry of the Ding–Iohara–Miki algebra (DIM). DIM has S-duality symmetry, known as Miki automorphism, which defines the transformation of generators. We introduce the second set of the fermionic basis (S-dual basis) which implements the duality transformation. It may be interpreted as the Fourier dual of the standard basis, and the inner product between the standard and the S-dual is proportional to the Hopf link invariant. We also rewrite the general topological vertex in the form of an Awata–Feigin–Shiraishi intertwiner and show that it becomes more symmetric for the duality transformation.

scholarly journals More stringy effects in target space from Double Field Theory

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Chen-Te Ma ◽  
Franco Pezzella
Keyword(s):  
Field Theory ◽  
Space Dimension ◽  
Mass Term ◽  
Closed String ◽  
Target Space ◽  
Gauge Transformations ◽  
Double Field Theory ◽  
Quadratic Action ◽  
Lower Dimensional ◽  
Compactified Space

Abstract In Double Field Theory, the mass-squared of doubled fields associated with bosonic closed string states is proportional to NL + NR− 2. Massless states are therefore not only the graviton, anti-symmetric, and dilaton fields with (NL = 1, NR = 1) such theory is focused on, but also the symmetric traceless tensor and the vector field relative to the states (NL = 2, NR = 0) and (NL = 0, NR = 2) which are massive in the lower-dimensional non-compactified space. While they are not even physical in the absence of compact dimensions, they provide a sample of states for which both momenta and winding numbers are non-vanishing, differently from the states (NL = 1, NR = 1). A quadratic action is therefore here built for the corresponding doubled fields. It results that its gauge invariance under the linearized double diffeomorphisms is based on a generalization of the usual weak constraint, giving rise to an extra mass term for the symmetric traceless tensor field, not otherwise detectable: this can be interpreted as a mere stringy effect in target space due to the simultaneous presence of momenta and windings. Furthermore, in the context of the generalized metric formulation, a non-linear extension of the gauge transformations is defined involving the constraint extended from the weak constraint that can be uniquely defined in triple products of fields. Finally, we show that the above mentioned stringy effect does not appear in the case of only one compact doubled space dimension.

scholarly journals Double field theory of type II strings

2011 ◽  
Vol 2011 (9) ◽  
Author(s):  
Olaf Hohm ◽  
Seung Ki Kwak ◽  
Barton Zwiebach
Keyword(s):  
Field Theory ◽  
Type Ii ◽  
Double Field Theory
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