Supergravity and “new” six-dimensional gauge theories

Alishahiha, Mohsen; Oz, Yaron

doi:10.1016/s0370-2693(00)01266-1

Cited by 13 publications

(18 citation statements)

References 23 publications

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“…Note that the solution given here is different from the one constructed in [11,12]. The axion in this case vanishes asymptotically, whereas it is constant in [12].…”

Section: (Ns5 Dp) Bound Statesmentioning

confidence: 67%

“…The axion in this case vanishes asymptotically, whereas it is constant in [12]. Also, the RR 3-form field strength is constant here, but in [12] it is proportional to χ. The other fields are the same.…”

Section: (Ns5 Dp) Bound Statesmentioning

confidence: 80%

“…Furthermore, if we take T-duality on this state along x 1 -direction, we obtain type-IIA bound state of the form (NS5, D4, D2, D0, W), where 'W' denotes the waves. However, it is not clear how to obtain a similar state involving F-string in this case as given in [12].…”

Section: Jhep02(2001)026mentioning

confidence: 98%

“…The T-duality is applied along the longitudinal directions of D5-branes. We note that the (NS5, Dp) bound states have also been given in [11,12] and they were obtained from (NS5, D1) solution (constructed by applying S-duality on already known [13] (F, D5) solution) and applying T-duality along the transverse directions of D-string. However, the (NS5, D5) solution obtained in this way does not agree with the already known solution.…”

Section: Introductionmentioning

confidence: 99%

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(NS5,Dp) and (NS5,D(p+2),Dp) bound states of type IIB and type IIA string theories

Mitra

Roy

2001

J. High Energy Phys.

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Abstract:Starting from the (q, p) 5-brane solution of type-IIB string theory, we here construct the low energy configuration corresponding to (NS5, Dp)-brane bound states (for 0 ≤ p ≤ 4) using the T-duality map between type-IIB and type-IIA string theories. We use the SL(2, Z) symmetry on the type-IIB bound state (NS5, D3) to construct (NS5, D5, D3) bound state. We then apply T-duality transformation again on this state to construct the bound states of the form (NS5, D(p + 2), Dp) (for 0 ≤ p ≤ 2) of both type-IIB and type-IIA string theories. We give the tension formula for these states and show that they form non-threshold bound states. All these states preserve half of the space-time supersymmetries of string theories. We also briefly discuss the ODp-limits corresponding to (NS5, Dp) bound state solutions.Keywords: Superstrings and Heterotic Strings, p-branes, D-branes.JHEP02 (2001) [6,7]. This solution is non-singular and purely solitonic and therefore, not much is known about its dynamics. Type II string theories also contain Dpbranes [8,9] in their low energy spectrum and it is well-known that Dp-branes can end on type-IIA NS5-branes for p = even and they can end on type-IIB NS5-branes for p = odd. It is therefore expected that these Dp-branes will form bound states with NS5-branes. The bound state (NS5, D5) of type-IIB theory known as (q, p) fivebranes, with q, p relatively prime integers corresponding to the charges of NS5-branes and D5-branes respectively has already been constructed in ref. [10]. We here use this solution and apply the T-duality map from type-IIB to type-IIA theory also from type IIA to type-IIB theory to construct the (NS5, Dp) bound state solutions for 0 ≤ p ≤ 4. The T-duality is applied along the longitudinal directions of D5-branes. We note that the (NS5, Dp) bound states have also been given in [11,12] and they were obtained from (NS5, D1) solution (constructed by applying S-duality on already known [13] (F, D5) solution) and applying T-duality along the transverse directions of D-string. However, the (NS5, D5) solution obtained in this way does not agree with the already known solution. We have indicated the possible reason for this discrepancy in section 2. This is the reason we have chosen to start from the known (NS5, D5) solution to construct the (NS5, Dp) solutions. In order to construct (NS5, D(p + 2), Dp) bound states for 0 ≤ p ≤ 3, we start from (NS5, D3) solution of type-IIB string theory. Since type-IIB string theory is conjectured to have a non-perturbative quantum SL(2, Z) symmetry, we use this

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“…Note that the solution given here is different from the one constructed in [11,12]. The axion in this case vanishes asymptotically, whereas it is constant in [12].…”

Section: (Ns5 Dp) Bound Statesmentioning

confidence: 67%

Section: (Ns5 Dp) Bound Statesmentioning

confidence: 80%

Section: Jhep02(2001)026mentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

(NS5,Dp) and (NS5,D(p+2),Dp) bound states of type IIB and type IIA string theories

Mitra

Roy

2001

J. High Energy Phys.

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“…In this case, an RR 6-form field strength attains the critical value and almost balances the tension of D5-branes on NS5-branes leading to OD5 theory. The (NS5, D5) bound state solution in the decoupling limit describes the supergravity dual [9,12,19] of OD5 theory.…”

Section: Introductionmentioning

confidence: 99%

On decoupled theories in (5+1) dimensions from (F,D1,NS5,D5) supergravity configuration

Cai

Mitra

Roy

et al. 2001

J. High Energy Phys.

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It is well-known that (N , M ) 5-branes of type IIB supergravity form a non-threshold bound state with (N , M ) strings called the (F, D1, NS5, D5) bound state where the strings lie along one of the spatial directions of the 5-branes (hep-th/9905056). By taking low energy limits in appropriate ways on this supergravity configuration, we obtain the supergravity duals of various decoupled theories in (5+1) dimensions corresponding to noncommutative open string (NCOS) theory, open D-string (OD1) theory and open D5-brane (OD5) theory. We then study the SL(2, Z) transformation properties of these theories. We show that when the asymptotic value of the axion (χ 0 ) is rational (for which χ 0 can be put to zero), NCOS theory is always related to OD1 theory by strong-weak or S-duality symmetry. We also discuss the self-duality conjecture (hep-th/0006062) of both NCOS and OD1 theories. On the other hand, when χ 0 is irrational, we find that SL(2, Z) duality on NCOS theory gives another NCOS theory with different values of the parameters, but for OD1 theory SL(2, Z) duality always gives an NCOS theory. SL(2, Z) transformation on OD5 theory reveals that it gives rise to Little String Theory (LST) when χ 0 = rational, but it gives another OD5 theory with different values of the parameters when χ 0 is irrational.

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Large dimensions and small curvatures from supersymmetric brane back-reaction

Burgess

Nierop

2011

J. High Energ. Phys.

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We compute the back-reaction of pairs of codimension-two branes within an explicit flux-stabilized compactification, to trace how its properties depend on the parameters that define the brane-bulk couplings. Both brane tension and magnetic couplings to the stabilizing flux play an important role in the resulting dynamics, with the magnetic coupling allowing some of the flux to be localized on the branes (thus changing the flux-quantization conditions). We find that back-reaction lifts the classical flat directions of the bulk supergravity, and we calculate both the scalar potential and changes to the extra-dimensional and on-brane geometries that result, as functions of the assumed brane couplings. When linearized about simple rugby-ball geometries the resulting solutions allow a systematic exploration of the system's response. Several of the systems we explore have remarkable properties. Among these are a propensity for the extra dimensions to stabilize at exponentially large sizes, providing a mechanism for generating extremely large volumes. In some circumstances the brane-dilaton coupling allows the bulk dilaton to adjust to suppress the on-brane curvature parametrically below the change in brane tension, potentially providing a mechanism for reducing the vacuum energy. We explore the stability of this suppression to quantum effects in the case where their strength is controlled by the value of the field along the classical flat direction, and find it can (but need not) be stable.

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Supergravity and “new” six-dimensional gauge theories

Cited by 13 publications

References 23 publications

(NS5,Dp) and (NS5,D(p+2),Dp) bound states of type IIB and type IIA string theories

(NS5,Dp) and (NS5,D(p+2),Dp) bound states of type IIB and type IIA string theories

On decoupled theories in (5+1) dimensions from (F,D1,NS5,D5) supergravity configuration

Large dimensions and small curvatures from supersymmetric brane back-reaction

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