Vacuum Energies of String Compactified on Torus

Sakai, Nobuyuki; Senda, Ikuo

doi:10.1143/ptp.77.773

Cited by 21 publications

(19 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Combining the equations (5.13) and (5.14), we finally find 15) which is nothing but the third of the CDJ gauge transformation (3.4).…”

Section: Lie Algebroid Gauged Sigma Modelsmentioning

confidence: 88%

“…T-dualisability is a rare property of non-linear sigma-models and it is not known what necessary conditions must be imposed on a target space metric G, and closed 3-form field H, such that the corresponding sigma-model has a T-dual with ( G, H). On the other hand, several sufficient conditions are known, giving various T-dualities like the Abelian one [9,15] or non-Abelian one [7,6,5,1], both in turn included as special cases of Poisson-Lie T-duality [11,10]. Chatzistavrakidis, Deser and Jonke (CDJ in what follows) recently proposed a new set of sufficient conditions which, they claimed, would give rise to new examples of T-dual pairs [3].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Hidden isometry of “T-duality without isometry”

Bouwknegt

Bugden

Klimčı́k

et al. 2017

J. High Energ. Phys.

View full text Add to dashboard Cite

We study the T-dualisability criteria of Chatzistavrakidis, Deser and Jonke [3] who recently used Lie algebroid gauge theories to obtain sigma models exhibiting a "Tduality without isometry". We point out that those T-dualisability criteria are not written invariantly in [3] and depend on the choice of the algebroid framing. We then show that there always exists an isometric framing for which the Lie algebroid gauging boils down to standard Yang-Mills gauging. The "T-duality without isometry" of [3] is therefore nothing but traditional isometric non-Abelian T-duality in disguise.

show abstract

“…Combining the equations (5.13) and (5.14), we finally find 15) which is nothing but the third of the CDJ gauge transformation (3.4).…”

Section: Lie Algebroid Gauged Sigma Modelsmentioning

confidence: 88%

Section: Introductionmentioning

confidence: 99%

Hidden isometry of “T-duality without isometry”

Bouwknegt

Bugden

Klimčı́k

et al. 2017

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…These coordinates are invariant under T -duality, and are sometimes called spectator fields or external coordinates. 2 The position of the indices a, b is changed due to the exchange Ta ↔ T a .…”

Section: Dressing Cosetsmentioning

confidence: 99%

“…To perform a PL T -duality with respect to the isometry group O(4), we need the general framework (see e.g., [11]). However, S 3 is isomorphic to SU(2), and we can perform the standard PL T -duality with respect to this SU (2). Other examples are the PL T -duality of coset spaces, AdS2 and S 2 .…”

Section: Dressing Cosetsmentioning

confidence: 99%

See 1 more Smart Citation

Poisson-Lie T-plurality for dressing cosets

Sakatani

2021

Preprint

View full text Add to dashboard Cite

The Poisson-Lie T -plurality is an equivalence of string theories on various cosets D/ G, D/ G′ , • • • , where D is a Drinfel'd double and G, G′ , • • • are maximal isotropic subgroups. This can be extended to the equivalence for dressing cosets, i.e., F \D/ G, F \D/ G′ , • • • , where F is an isotropic subgroup of D. We explore this extended Poisson-Lie T -plurality, making the relation between several previous approaches clear. We propose a gauged sigma model for a general gauge group F and obtain the formula for the metric and the B-field on the dressing coset. Using this formula and an ansatz for the dilaton, we show that the Poisson-Lie T -plurality for dressing cosets (with spectator fields) is a symmetry of double field theory. The formula for the R-R field strength is also proposed such that the equations of motion for the NS-NS fields are transformed covariantly. In addition, we provide specific examples of the PL T -plurality for dressing cosets.

show abstract

Strings, Branes and Extra Dimensions

Förste

2002

Fortschr. Phys.

View full text Add to dashboard Cite

This review is devoted to strings and branes. Firstly, perturbative string theory is introduced. The appearance of various types of branes is discussed. These include orbifold fixed planes, D-branes and orientifold planes. The connection to BPS vacua of supergravity is presented afterwards. As applications, we outline the role of branes in string dualities, field theory dualities, the AdS/CFT correspondence and scenarios where the string scale is at a TeV. Some issues of warped compactifications are also addressed. These comprise corrections to gravitational interactions as well as the cosmological constant problem. observation results in the AdS/CFT correspondence. We present in some detail, how the AdS/CFT correspondence can be employed to compute Wilson loops in strongly coupled gauge theories. An application which is of phenomenological interest is the fact that D-branes allow to construct models in which the string scale is of the order of a TeV. If such models are realized in nature, they should be discovered experimentally in the near future.Chapter 5 is somewhat disconnected from the rest of these notes since it considers brane models which are not directly constructed from strings. Postulating the existence of branes on which certain interactions are localized, we present the construction of models in which the space transverse to the brane is curved. We discuss how an observer on a brane experiences gravitational interactions. We also make contact to the AdS/CFT conjecture for a certain model. Also other questions of phenomenological relevance are addressed. These are the hierarchy problem and the problem of the cosmological constant. We show how these problems are modified in models containing 15 We use here the previous result that we need to have d = 10 in order to preserve target space Lorentz invariance. 16 In this notation we suppress the eigenvalue k µ of the bosonic zero modes.

show abstract

Vacuum Energies of String Compactified on Torus

Cited by 21 publications

References 0 publications

Hidden isometry of “T-duality without isometry”

Hidden isometry of “T-duality without isometry”

Poisson-Lie T-plurality for dressing cosets

Strings, Branes and Extra Dimensions

Contact Info

Product

Resources

About