Domain Wall World(s)

Cvetič, Mirjam

doi:10.1142/s0217751x01003974

Cited by 20 publications

(22 citation statements)

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“…These walls could be realized as supersymmetric bosonic configurations. Examples of supersymmetric domain walls in D=4 N = 1 supergravity coupled to chiral matter superfields were first found and studied in [21], and recent examples within D=5 gauged supergravities were given in [10].…”

Section: Classification Of the Domain Wall Solutionsmentioning

confidence: 99%

Vacuum domain walls inDdimensions: Local and global space-time structure

Cvetič

Wang

2000

Phys. Rev. D

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Recent months have witnessed a resurgence in the study of domain walls with asymptotically anti-deSitter space-times (AdS). This renewed interest is motivated both from the point of view of AdS/CFT correspondence, providing new insights in the study of RGE flows (see e.g., [1][2][3][4][5][6][7][8][9][10][11] and references therein) as well as from the phenomenological perspective, providing a possible resolution to hierarchy problem in the context of a world on a domain wall in D=5 asymptotically AdS space-times (see, e.g., [12][13][14][15][16][17][18][19][20] and references therein). This is an exiting period when formal theoretical developments drive phenomenological implications and vice versa.A prerequisite for addressing physics implications of such configurations is a detailed understanding of their space-time structure. Earlier work on the subject concentrated on the domain walls in D=4 space-time dimensions, where either side of the wall was to be interpreted as that of our four-dimensional Universe. The first example of static domain walls between vacua with different cosmological constants were found is [21] as supersymmetric (BPS-saturated/extreme) walls interpolating between supersymmetric vacua of D=4 N = 1 supergravity vacua. In [22] a classification of the possible supersymmetric walls has been given, and the global structure of the space-times induced by these walls has been explored in [23,24]. A subsequent systematic investigation [25] of the space-times of domain walls separating regions of non-positive cosmological constant in Einstein's theory of gravitation, revealed a more general class of domain wall configurations. 1 (For a review, see [26].)The purpose of the present work is to generalize the results of the study of vacuum domain walls in D=4 [25] to (D-2)-brane-configurations in D-dimensions, with D=5 being of special interest to the physics-implications for the four-dimensional domain wall-world (as well as of theoretical interest for RGE flows of strongly coupled gauge-theories in four dimensions).Following the work of [25] we derive the local and global properties of the space-times induced by vacuum domain walls in D-dimensions between vacua of arbitrary cosmological constant. We start with the Ansatz that the gravitational field inherits the boost symmetry of the source, but we assume nothing about the topology of the (D-1)-dimensional space-times parallel to the surface of the domain wall. The space-time intrinsic to the wall, are Freedman-Lemaître-Robertson-Walker (FLRW) universes describing locally (D-1)-dimensional space-times with anti-deSitter (AdS D−1 ), Minkowski (M D−1 ) or de Sitter (dS D−1 ) space-times. For each of these space-times internal to the wall, the space-time transverse to the wall can be classified according to the values of cosmological constants Λ 1,2 on either side of the wall and their relationship to the energy density of the wall σ.An important result of the analysis is that the space-times of domain walls have the same universal structure in all D; the...

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Section: Classification Of the Domain Wall Solutionsmentioning

confidence: 99%

Vacuum domain walls inDdimensions: Local and global space-time structure

Cvetič

Wang

2000

Phys. Rev. D

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“…The S 7 also admits the second, squashed Einstein metric [8], yielding a vacuum with SO(5) × SO(3) gauge symmetry and N = 1 or N = 0 supersymmetry, depending on the orientation of the S 7 [9].In [1], we have shown that the well-known spontaneous (super)symmetry breaking deformation from round-to squashed-S 7 is mapped to a renormalization group flow from N = 0 or 1, SO(5) × SO(3) invariant fixed point in the UV to N = 8, SO(8) invariant fixed point in the IR. In particular, in [1], we have shown that (1) the squashing deformation corresponds to an irrelevant operator at the N = 8 superconformal fixed point and a relevant operator at the N = 1 or 0 (super)conformal fixed point, respectively, and (2) the renormalization group flow is described geometrically, as in AdS 5 supergravity [10], by a 'static' domain wall of the sort studied earlier in [11], which interpolates the two asymptotically AdS 4 spacetimes with X 7 round and squashed S 7 's.In this paper, we will be studying further known examples of Kaluza-Klein supergravity vacua and reinterpret them in terms of three-dimensional (super)conformal field theories and associated renormalization group flows. First, we will be exploring various Freund-Rubin type spontaneous compactifications on AdS 4 ×X 7 .…”

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confidence: 99%

“…In [1], we have shown that the well-known spontaneous (super)symmetry breaking deformation from round-to squashed-S 7 is mapped to a renormalization group flow from N = 0 or 1, SO(5) × SO(3) invariant fixed point in the UV to N = 8, SO(8) invariant fixed point in the IR. In particular, in [1], we have shown that (1) the squashing deformation corresponds to an irrelevant operator at the N = 8 superconformal fixed point and a relevant operator at the N = 1 or 0 (super)conformal fixed point, respectively, and (2) the renormalization group flow is described geometrically, as in AdS 5 supergravity [10], by a 'static' domain wall of the sort studied earlier in [11], which interpolates the two asymptotically AdS 4 spacetimes with X 7 round and squashed S 7 's.…”

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confidence: 99%

More CFTs and RG flows from deforming M2/M5-brane horizon

Ahn

Rey

2000

Nuclear Physics B

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Near-horizon geometry of coincident M2-branes at a conical singularity is related to M-theory on AdS 4 times an appropriate seven-dimensional manifold X 7 . For X 7 = N 0,1,0 , squashing deformation is known to lead to spontaneous (super)symmetry breaking from N = (3, 0) to N = (0, 1) in gauged AdS 4 supergravity. Via AdS/CFT correspondence, it is interpreted as renormalization group flow of strongly coupled three-dimensional field theory with SU(3) × SU(2) global symmetry. The flow interpolates between N = (0, 1) fixed point in the UV to N = (3, 0) fixed point in the IR. Evidences for the interpretation are found both from critical points of the supergravity scalar potential and from conformal dimension of relevant chiral primary operators at each fixed point. We also analyze cases with X 7 = SO(5)/SO(3) max , V 5,2 (R), and find that there is no nontrivial renormalization group flows. We extend the analysis to Englert type vacua of M-theory. By analyzing de Wit-Nicolai potential, we find that deformation of S 7 gives rise to renormalization group flow from N = 8, SO(8) invariant UV fixed point to N = 1, G 2 invariant IR fixed point. For AdS 7 supergravity relevant for near-horizon geometry of coincident M5-branes, we also point out a nontrivial renormalization group flow from N = 1 superconformal UV fixed point to non-supersymmetric IR fixed point.Few examples are known for three-dimensional interacting conformal field theories or for renormalization group flows among themselves, mainly due to strong coupling dynamics in the infrared limit. For example, N = 1 superconformal field theories, which arise in various situations involving D-brane dynamics, do not have any continuous R-symmetries, holomorphy constraints or any known non-renormalization theorems. In the previous paper [1], as an alternative route, we have proposed to classify three-dimensional (super)conformal field theories by utilizing the AdS/CFT correspondence [2,3,4] and earlier, exhaustive study of the Kaluza-Klein supergravity [5]. The simplest spontaneous compactification of the eleven-dimensional supergravity [6] is the Freund-Rubin [7] compactification 2 to a product of AdS 4 spacetime and an arbitrary compact seven-dimensional Einstein manifold X 7 of positive scalar curvature. Continuous deformations among X 7 's is of interest 3 , as they would be interpreted, in the strongly interacting d = 3 quantum field theory dual to the AdS 4 supergravity, to renormalization group flows among interacting (super)conformal fixed points. The best known example is provided by round and squashed S 7 . The standard Einstein metric of the round S 7 yields a vacuum with SO(8) gauge symmetry and N = 8 supersymmetry. The S 7 also admits the second, squashed Einstein metric [8], yielding a vacuum with SO(5) × SO(3) gauge symmetry and N = 1 or N = 0 supersymmetry, depending on the orientation of the S 7 [9].In [1], we have shown that the well-known spontaneous (super)symmetry breaking deformation from round-to squashed-S 7 is mapped to a renormalization group fl...

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“…Let us consider the bosonic part of a five-dimensional supergravity theory obtained via compactification of a higher dimensional supergravity, given in the general form [26,27,[29][30][31] …”

Section: The Modelmentioning

confidence: 99%

“…Admitting that both A and scalar fiels φ, χ depend only on the fifth coordinate x, then the equation of motion for the scalar fields and the Einstein's equations read [26][27][28][29][30][31][32][33][34] …”

Section: Turning On the Gravitational Fieldmentioning

confidence: 99%

Multi-scalar tachyon potential on non-BPS domain walls

Brito

Jesuíno

2010

J. High Energ. Phys.

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We have considered the multi-scalar and multi-tachyon fields living on a 3d domain wall embedded in a 5d dimensional Minkowski spacetime. The effective action for such a domain wall can be found by integrating out the normal modes as vibrating modes around the domain wall solution of a truncated 5d supergravity action. The multi-scalar tachyon potential is good enough to modeling assisted inflation scenario with multi-tachyon fields. The tachyon condensation is also briefly addressed.

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Domain Wall World(s)

Cited by 20 publications

References 31 publications

Vacuum domain walls inDdimensions: Local and global space-time structure

Vacuum domain walls inDdimensions: Local and global space-time structure

More CFTs and RG flows from deforming M2/M5-brane horizon

Multi-scalar tachyon potential on non-BPS domain walls

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