‐Corrected Poisson‐Lie T‐Duality

We recently introduced a T-duality covariant mechanism to compute all-order higher-derivative interactions in the heterotic string. Here we extend the formalism to account for a two-parameter family of corrections that also include the bosonic string and HSZ theory. We use our result to compute the full second order Double Field Theory (DFT) for generic values of the parameters, including the generalized Green-Schwarz transformation and its invariant action.

“…The computation strongly relies on the imposition of the strong constraint. The same result was reproduced in a double language and very nicely related to Born geometry in [58].…”

Section: Jhep01(2021)171 5 Summary and Outlooksupporting

confidence: 61%

The generalized Bergshoeff-de Roo identification. Part II

Baron

Marqués

2021

“…Unlike Abelian T-duality, which is an equivalence between string theories on different backgrounds to all orders in the string coupling and string length, these generalised Tduality are currently best understood at the supergravity level and their status as true dualities of the string genus expansion remains doubtful [6]. Very recent work [7][8][9][10] has provided indications that such dualities do persist under α corrections. Both NATD and PLTD have led to fruitful results.…”

Section: Jhep01(2021)020mentioning

confidence: 99%

“…For E 6(6) this tensor is related to the symmetric invariant (see the appendix for details) such that the explicit form of E A has components Here we denote r a 1 ...am = r a 1 ∧ • • • ∧ r am and make use of the j-wedge contraction of [37] to deal with mixed symmetry fields. 8 One can consider now the action of the frame field E A on these E A and by virtue of eq. (3.11), again find that they furnish the EDA algebra, albeit in a different representation as described in the appendix.…”

Section: Jhep01(2021)020mentioning

confidence: 99%

See 1 more Smart Citation

E6(6) exceptional Drinfel’d algebras

Malek

Sakatani

Thompson

2021

The exceptional Drinfel’d algebra (EDA) is a Leibniz algebra introduced to provide an algebraic underpinning with which to explore generalised notions of U-duality in M-theory. In essence, it provides an M-theoretic analogue of the way a Drinfel’d double encodes generalised T-dualities of strings. In this note we detail the construction of the EDA in the case where the regular U-duality group is E6(6). We show how the EDA can be realised geometrically as a generalised Leibniz parallelisation of the exceptional generalised tangent bundle for a six-dimensional group manifold G, endowed with a Nambu-Lie structure. When the EDA is of coboundary type, we show how a natural generalisation of the classical Yang-Baxter equation arises. The construction is illustrated with a selection of examples including some which embed Drinfel’d doubles and others that are not of this type.

“…It would not only be interesting to answer this question for the current exact S matrix, but also to investigate the tree-level and exact S matrices for deformations of AdS 3 × S 3 where it is possible to realize mirror duality explicitly also in the fermionic sector of the sigma model [39]. Next, for the exact S matrix and Bethe ansatz description of these models it is important to understand the precise identification of the exact parameters q and ξ and the Lagrangian parameters κ and h. This is related to questions surrounding quantum corrections to Yang-Baxter deformed backgrounds, where initial studies have thus far focused on α corrections for homogeneous deformations [40,41], and corrections to (not Weyl invariant) deformed backgrounds to maintain compatibility with RG flow [42,43], see also the very recent [44,45]. At the level of quantum corrections, it would also be great to investigate the one-loop S matrices for both the distinguished and fermionic deformations along the lines of [46], as at loop level we are generically sensitive to Weyl invariance.…”

Section: Jhep12(2020)043mentioning

confidence: 99%

The twisted story of worldsheet scattering in η-deformed AdS5 × S5

Seibold

Tongeren

Zimmermann

2020

We study the worldsheet scattering theory of the η deformation of the AdS5 × S5 superstring corresponding to the purely fermionic Dynkin diagram. This theory is a Weyl-invariant integrable deformation of the AdS5 × S5 superstring, with trigonometric quantum-deformed symmetry. We compute the two-body worldsheet S matrix of this string in the light-cone gauge at tree level to quadratic order in fermions. The result factorizes into two elementary blocks, and solves the classical Yang-Baxter equation. We also determine the corresponding exact factorized S matrix, and show that its perturbative expansion matches our tree-level results, once we correctly identify the deformed light-cone symmetry algebra of the string. Finally, we briefly revisit the computation of the corresponding S matrix for the η deformation based on the distinguished Dynkin diagram, finding a tree-level S matrix that factorizes and solves the classical Yang-Baxter equation, in contrast to previous results.