Gauging the d = 5 Maxwell/Einstein supergravity theories: More on Jordan algebras

Günaydın, Murat; Sierra, Germȧn; Townsend, Paul

doi:10.1016/0550-3213(85)90547-4

Cited by 355 publications

(530 citation statements)

References 17 publications

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“…This construction of the brane world action can be carried over to the case of warped supergravity, that is, 5d supergravity with a U(1) subgroup of the SU(2) R-symmetry group gauged by the graviphoton [15]. The 5d action can be obtained from the flat one in eq.…”

Section: Five-dimensional Brane-world Actionmentioning

confidence: 99%

On the one-loop Kähler potential in five-dimensional brane-world supergravity

Falkowski

2005

J. High Energy Phys.

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We present an on-shell formulation of 5d gauged supergravity coupled to chiral matter multiplets localized at the orbifold fixed points. The brane action is constructed via the Noether method. In such set-up we compute one-loop corrections to the Kähler potential of the effective 4d supergravity and compare the result with previous computations based on the off-shell formalism. The results agree at lowest order in brane sources, however at higher order there are differences. We explain this discrepancy by an ambiguity in resolving singularities associated with the presence of infinitely thin branes.

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Section: Five-dimensional Brane-world Actionmentioning

confidence: 99%

On the one-loop Kähler potential in five-dimensional brane-world supergravity

Falkowski

2005

J. High Energy Phys.

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“…We use the fermion mass term for gauged supergravity models [18]. (We believe that the mass term quoted in [4] is incorrect).…”

Section: The One Loop Effective Action Of the Vector Multipletmentioning

confidence: 99%

One loop effective potential in heterotic M-theory

Moss

Norman

2004

J. High Energy Phys.

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We have calculated the one loop effective potential of the vector multiplets arising from the compactification to five dimensions of heterotic M -theory on a Calabi-Yau manifold with h 1,1 > 1. We find that extensive cancellations between the fermionic and bosonic sectors of the theory cause the effective potential to vanish, with the exception of a higher order curvature term of the type which might arise from string corrections.

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“…The supersymmetric domain wall solutions of Dϭ5, Nϭ2, U͑1͒ gauged supergravity 1 with brane sources on S 1 /Z 2 orbifolds have been described recently in Ref. 2.…”

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confidence: 99%

“…It has been observed there that in the context of Calabi-Yau ͑CY͒ compactifications the collapse of CY cycles may put some restrictions on the distance between the walls. 3,4 In this article we will study this type of domain wall both for Dϭ5, Nϭ2, U͑1͒ gauged supergravity 1 ͑GST model͒ and for Calabi-Yau compactifications of 11-D supergravity with fluxes turned on. The latter is the five-dimensional heterotic M-theory 5,6 obtained by a reduction on a CY threefold of Horava-Witten M-theory 7 on S 1 /Z 2 ͑HW model͒.…”

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confidence: 99%

Excision of singularities by stringy domain walls

Каллош

Mohaupt

Shmakova³

2001

Journal of Mathematical Physics

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We study supersymmetric domain walls on S 1 /Z 2 orbifolds. The supergravity solutions in the bulk are given by the attractor equation associated with Calabi-Yau ͑CY͒ spaces and have a naked space-time singularity at some ͉y s ͉. We are looking for possibilities to cut off this singularity with the second wall by a stringy mechanism. We use the collapse of the CY cycle at ͉y c ͉ which happens before and at a finite distance from the space-time singularity. In our example with three Kähler moduli the second wall is at the end of the moduli space at ͉y c ͉ where also the enhancement of SU͑2͒ gauge symmetry takes place so that ͉y e ͉ϭ͉y c ͉Ͻ͉y s ͉. The physics of the excision of a naked singularity via the enhançon in the context of domain wall has an interpretation on the heterotic side related to R→1/R duality. The supersymmetric domain wall solutions of Dϭ5, Nϭ2, U͑1͒ gauged supergravity 1 with brane sources on S 1 /Z 2 orbifolds have been described recently in Ref.2. It has been observed there that in the context of Calabi-Yau ͑CY͒ compactifications the collapse of CY cycles may put some restrictions on the distance between the walls. 3,4 In this article we will study this type of domain wall both for Dϭ5, Nϭ2, U͑1͒ gauged supergravity 1 ͑GST model͒ and for Calabi-Yau compactifications of 11-D supergravity with fluxes turned on. The latter is the five-dimensional heterotic M-theory 5,6 obtained by a reduction on a CY threefold of Horava-Witten M-theory 7 on S 1 /Z 2 ͑HW model͒. The explicit form of the solution with general dependence on the vector multiplets is obtained for both models by solving the generalized attractor equation. [8][9][10][11] Since the domain wall solutions 2,6 of the two models behave very similarly, we will discuss them in parallel. The purpose of this article is to find a possibility to remove the space-time singularity of the domain wall solution via some particular property of the CY space. Specifically we would like to find a situation when the collapse of the CY cycle at ͉y c ͉ happens closer to the first wall which is at yϭ0 and at a finite distance from the space-time singularity ͉y s ͉, so that ͉y c ͉Ͻ͉y s ͉. ͑1͒In the case of excision of repulson singularities by the enhançon mechanism, 12 the distance between the repulson and enhançon is finite. The hope, therefore, is that also for some domain walls the analogous situation may be possible, particularly if enhancement of gauge symmetry is somehow involved. The finite distance between the naked singularity of the supergravity solution and the position of the collapse of the CY cycle may allow us to use the physics of string theory already at the end of the moduli space which in this case excludes the singularity of the general relativity as unphysical. The generic interest in such a mechanism is supported by some interesting

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Gauging the d = 5 Maxwell/Einstein supergravity theories: More on Jordan algebras

Cited by 355 publications

References 17 publications

On the one-loop Kähler potential in five-dimensional brane-world supergravity

On the one-loop Kähler potential in five-dimensional brane-world supergravity

One loop effective potential in heterotic M-theory

Excision of singularities by stringy domain walls

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