Exactly solvable p-brane model with extra supersymmetry (original) (raw)
Hamiltonian structure and noncommutativity in p -brane models with exotic supersymmetry
Journal of High Energy Physics, 2004
The Hamiltonian of the simplest super p-brane model preserving 3/4 of the D = 4 N = 1 supersymmetry in the centrally extended symplectic superspace is derived and its symmetries are described. The constraints of the model are covariantly separated into the first-and the second-class sets and the Dirac brackets (D.B.) are constructed. We show the D.B. noncommutativity of the super p-brane coordinates and find the D.B. realization of the OSp(1|8) superalgebra. Established is the coincidence of the D.B. and Poisson bracket realizations of the OSp(1|8) superalgebra on the constraint surface and the absence there of anomaly terms in the commutation relations for the quantized generators of the superalgebra.
On supersymmetric Dp– brane solutions
Physics Letters B, 2002
We analyze in the spirit of hep-th/0110039 the possible existence of supersymmetric Dp-Dp brane systems in flat ten dimensional Minkowski space. For p = 3, 4 we show that besides the solutions related by T-duality to the D2-D2 systems found by Bak and Karch there exist other ansatz whose compatibility is shown from general arguments and that preserve also eight supercharges, in particular a D4-D4 system with D2-branes dissolved on it and Taub-NUT charge. We carry out the explicit construction in Weyl basis of the corresponding Killing spinors and conjecture the existence of new solutions for higher dimensional branes with some compact directions analogous to the supertube recently found.
D-brane models with non-linear supersymmetry
Nuclear Physics B, 2002
We study a class of type I string models with supersymmetry broken on the world-volume of some D-branes and vanishing tree-level potential. Despite the non-supersymmetric spectrum, supersymmetry is non-linearly realized on these D-branes, while it is spontaneously broken in the bulk by Scherk-Schwarz boundary conditions. These models can easily accommodate 3-branes with interesting gauge groups and chiral fermions. We also study the effective field theory and in particular we compute the four-fermion couplings of the localized Goldstino with the matter fermions on the brane. * On leave of absence from CPHT, Ecole Polytechnique, UMR du CNRS 7644. 1 The parameter C f is related to the parametrisation of other authors by C f = − α 4 [17] = C f f 2 [18].
Physics Letters B, 2003
The general solutions in the models of closed and open superstring and super p-branes with exotic fractions of the N = 1 supersymmetry are considered and the spontaneously broken character of the OSp(1, 2M) symmetry of the models is established. It is shown that extending these models by Wess-Zumino terms generates the Dirichlet boundary conditions for superstring and super p-branes. Using the generalized Wess-Zumino terms new OSp(1, 2M) invariant super p-brane and Dp-brane-like actions preserving M −1 M fraction of supersymmetry are proposed. For M = 32 these models suggest new superbrane vacua of M-theory preserving 31 from 32 global supersymmetries. Recently new progress in the tracing of M-theory symmetries [1], [2] based on the development of the generalized holonomy conception [3] has been achieved. 1 The generalized holonomy conception classifies vacuum states permitted by the centrally extended supersymmetry algebra [6],[7] and introduces new hidden space-time symmetries. It was shown in [2] that the holonomy extension in M-theory to the SL(32, R) local symmetry is 1 Let us note that this conception permits an extension by the lengthening of the spinor components of the connection Ω M . An example of the extension has been studied in [4] for N = 1, 2 supersymmetric electrodynamics, where the covariant derivative D M lengthening D M → ∇ M = D M + iµW M with W M = i
Properties of D-branes in matrix model of IIB superstring
Physics Letters B, 1997
We discuss properties of D-brane configurations in the matrix model of type IIB superstring recently proposed by Ishibashi, Kawai, Kitazawa and Tsuchiya. We calculate central charges in supersymmetry algebra at infinite N and associate them with one-and five-branes present in IIB superstring theory. We consider classical solutions associated with static three-and five-branes and calculate their interactions at one loop in the matrix model. We discuss some aspects of the matrix-model formulation of IIB superstring.
QUANTUM TWISTOR-LIKE p-BRANES WITH 3/4 OF D = 4, N = 1 SUPERSYMMETRY
Modern Physics Letters A, 2005
Algebra of the constraints of twistor-like p-branes restoring 3 4 fraction of the spontaneously broken D = 4 N = 1 supersymmetry is studied using the conversion method. Classical and quantum realizations of the BRST charge, unified superalgebra of the global generalized superconformal OSp(1|8) and Virasoro and Weyl symmetries are constructed. It is shown that the quantum Hermitian BRST charge is nilpotent and the quantized OSp(1|8) superalgebra is closed.
p-brane solutions in diverse dimensions
Physical Review D, 1997
A generic Lagrangian, in arbitrary spacetime dimension, describing the interaction of a graviton, a dilaton and two antisymmetric tensors is considered. An isotropic p-brane solution consisting of three blocks and depending on four parameters in the Lagrangian and two arbitrary harmonic functions is obtained. For specific values of parameters in the Lagrangian the solution may be identified with previously known superstring solutions.
On supergravity solutions of space-like D p -branes
Journal of High Energy Physics, 2002
Recently the time dependent solutions of type II supergravities in d = 10, with the metric having the symmetry ISO(p + 1) × SO(8 − p, 1) have been given by two groups (Chen-Gal'tsov-Gutperle (CGG), [hep-th/0204071] and Kruczenski-Myers-Peet (KMP), [hep-th/0204144]). The supergravity solutions correspond to space-like Dp-branes in type II string theory. While the CGG solution is a four parameter solution, the KMP solution is a three parameter solution and so in general they are different. This difference can be attributed to the fact that unlike the CGG solution, KMP uses a specific boundary condition for the metric and the dilaton field. It is shown that when we impose the boundary conditions used in the KMP solution to the CGG solution then both become three parameter solutions and they map to each other under a coordinate transformation along with a Hodge duality of the field strength. We also give the relations between the parameters characterizing the two solutions.
Lectures on Supergravity p-Branes
1997
We review the properties of classical p-brane solutions to supergravity theories, i.e. solutions that may be interpreted as Poincare-invariant hyperplanes in spacetime. Topics covered include the distinction between elementary/electric and solitonic/magnetic solutions, examples of singularity and global structure, relations between mass densities, charge densities and the preservation of unbroken supersymmetry, diagonal and vertical Kaluza-Klein reduction families, Scherk-Schwarz reduction and domain walls, and the classification of multiplicities using duality symmetries.
Static, non-SUSY p -branes in diverse dimensions
Journal of High Energy Physics, 2005
We give explicit constructions of static, non-supersymmetric p-brane (for p ≤ d − 4, where d is the space-time dimensionality and including p = −1 or D-instanton) solutions of type II supergravities in diverse dimensions. A subclass of these are the static counterpart of the time dependent solutions obtained in [hep-th/0309202]. Depending on the forms of the nonextremality function G(r) defined in the text, we discuss various possible solutions and their region of validity. We show how one class of these solutions interpolate between the p-brane-anti p-brane solutions and the usual BPS p-brane solutions in d = 10, while the other class, although have BPS limits, do not have such an interpretation. We point out how the time dependent solutions mentioned above can be obtained by a Wick rotation of one class of these static solutions. We also discuss another type of solutions which might seem non-supersymmetric, but we show by a coordinate transformation that they are nothing but the near horizon limits of the various BPS p-branes already known.
Superstrings and supermembranes in the doubly supersymmetric geometrical approach
Nuclear Physics B, 1995
We perform a generalization of the geometrical approach to describing extended objects for studying the doubly supersymmetric twistor-like formulation of super-p-branes. Some basic features of embedding world supersurface into target superspace specified by a geometrodynamical condition are considered. It is shown that the main attributes of the geometrical approach, such as the second fundamental form and extrinsic torsion of the embedded surface, and the Codazzi, Gauss and Ricci equations, have their doubly supersymmetric counterparts. At the same time the embedding of supersurface into target superspace has its particular features. For instance, the embedding may cause more rigid restrictions on the geometrical properties of the supersurface. This is demonstrated with the examples of an N=1 twistor-like supermembrane in D=11 and type II superstrings in D=10, where the geometrodynamical condition causes the embedded supersurface to be minimal and puts the theories on the mass shell.
Journal of High Energy Physics, 2020
We discuss how to incorporate non-supersymmetric branes in compactifications of type II string theories. We particularly focus on flux compactifications on SU(3) × SU(3) structure manifolds to four dimensions, so that a linear mathcalN\mathcal{N}mathcalN N = 1 supersymmetry is spontaneously broken by spacetime filling Dp-branes. Anti-Dp-branes are a very special subset of such branes but our analysis is generic. We show that the backreaction of non-supersymmetric branes can be incorporated into the standard 4d mathcalN\mathcal{N}mathcalN N = 1 supergravity by including a nilpotent chiral multiplet. Supersymmetry in such setups is always spontaneously broken and non-linearly realized. In particular this means that, contrary to what was previously thought, brane supersymmetry breaking cannot be simply described by a D-term in 4d mathcalN\mathcal{N}mathcalN N = 1 supergravity theories.
Supergravity theories in D ⩾ 12 coupled to super p-branes
Nuclear Physics B, 1999
We construct supergravity theories in twelve and thirteen dimensions with the respective signatures (10, 2) and (11, 2) with some technical details. Starting with N = 1 supergravity in 10+2 dimensions coupled to Green-Schwarz superstring, we give N = 2 chiral supergravity in 10+2 dimensions with its couplings to super (2 + 2)-brane. We also build an N = 1 supergravity in 11+2 dimensions, coupled to supermembrane. All of these formulations utilize scalar (super)fields intact under supersymmetry, replacing the null-vectors introduced in their original formulations. This method makes all the equations SO(10, 2) or SO(11, 2) Lorentz covariant, up to modified Lorentz generators. We inspect the internal consistency of these formulations, in particular with the usage of the modified Lorentz generators for the extra coordinates.
Supergravity p -branes with scalar charge
Physical Review D
Standard dilatonic supergravity p-branes have scalar charges that are not independent parameters, but are determined by the brane tension and Page charges. This feature can be traced to the no-hair theorem in the four-dimensional Einstein-scalar gravity, implying that more general solutions with independent scalar charges can have naked singularities. Since singular branes are also of interest as tentative classical counterparts of unstable tachyonic branes and/or brane-antibrane systems, it is worth investigating branes with independent scalar charges in more detail. Here we study singular branes associated with the Fisher-Janis-Newman-Winicour solution of four-dimensional gravity. In the case of codimension three, we also construct singular branes endowed with a Zipoy-Voorhees-type oblateness parameter. It is expected that such branes will not be supersymmetric in the string theory. We demonstrate this in the special case of NS5-branes of type II theory. We analyze geodesics and test scalar perturbations of new solutions focusing on possible quantum healing of classical singularities.
N=1 super- p -branes in twistor-like Lorentz harmonic formulation
Classical and Quantum Gravity, 1995
Unique twistor-like Lorentz harmonic formulation for all N = 1 supersymmetric extended objects (super-p-branes) moving in the space-time of arbitrary dimension D (admissible for given p) are suggested. The equations of motion are derived, explicit form of the κ-symmetry transformations is presented and the classical equivalence to the standard formulation is proved. The cases with minimal world-sheet dimensions p = 1, 2, namely of D = 10 heterotic string and D = 11 supermembrane, are considered in details.
Supersymmetric standard models on D-branes
Physics Letters B, 2001
Type IIB superstring models with the standard model gauge group on D3-branes and with massless matter associated with open strings joining D3-branes to D3-branes or D3-branes to D7 3-branes are studied. Models with gauge coupling constant unification at an intermediate scale between about 10 10 and 10 12 GeV and consistency with the observed value of sin 2 θ W (M Z) are obtained. Extra vector-like states and extra pairs of Higgs doublets play a crucial role.
Supersymmetry without supersymmetry
Physics Letters B, 1997
We present four-dimensional M-theory vacua with N > 0 supersymmetry which, from the perspective of perturbative Type IIA string theory, have N = 0. Such vacua can appear when the compactifying 7-manifold is a U (1) fibration. The missing superpartners are Dirichlet 0-branes. Someone unable to detect Ramond-Ramond charge would thus conclude that these worlds have no unbroken supersymmetry. In particular, the gravitinos (and also some of the gauge bosons) are 0-branes not seen in perturbation theory but which curiously remain massless however weak the string coupling.
Extra gauge symmetry for extra supersymmetry
Physics Letters B, 2003
It is shown that the extra supersymmetry of tensionless superstring and super pbrane is accompanied by the presence of new bosonic gauge symmetries. It permits to use composed coordinates encoding all physical degrees of freedom of the model and invariant under these gauge symmetries and the enhanced κ-symmetry. It is proved that the composed gauge invariant coordinates coincide with the componets of symplectic supertwistor realizing a linear representation of the hidden OSp(1,2M) symmetry of the super p-brane Lagrangian. A connection of the presented gauge symmetries with massless higher spin gauge theories and a symmetric phase of M/string-theory is discussed.
Physics Letters B, 1988
We construct Weyl-and Siegel-invariant super p-branes coupled to supergravity in the ambient space-time.