V.G.J. Rodgers

Dibaryons as Chiral Solitons

Abstract In the chiral model with three or more flavours, there are topological excitations which can be interpreted as dibaryon states. They correspond to the six-quark states found by Jaffe in the quark model. In this paper we discuss the quantum mechanics, masses and quantum numbers of these states in detail. We also discuss the ambiguities in the quantization of such soliton solutions which arise when only the collective coordinates are quantized.

Type IIB supergravity solutions with AdS5 from Abelian and non-Abelian T dualities

A bstractWe present a large class of new backgrounds that are solutions of type IIB supergravity with a warped AdS5 factor, non-trivial axion-dilaton, B-field and three-form Ramond-Ramond flux but yet have no five-form flux. We obtain these solutions and many of their variations by judiciously applying non-Abelian and Abelian T-dualities, as well as coordinate shifts to AdS5 × X5 IIB supergravity solutions with X5 = S5, T1,1, Yp,q . We address a number of issues pertaining to charge quantization in the context of non-Abelian T-duality. We comment on some properties of the expected dual super conformal field theories by studying their CFT central charge holographically. We also use the structure of the supergravity Page charges, central charges and some probe branes to infer aspects of the dual super conformal field theories.

4D, N = 1 Supersymmetry Genomics (II)

A bstractWe continue the development of a theory of off-shell supersymmetric representations analogous to that of compact Lie algebras such as SU(3). For off-shell 4D,

4D, = 1 supersymmetry genomics (I)

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The method of coadjoint orbits; An algorithm for the construction of invariant actions

= 1 systems, quark-like representations have been identified [1] in terms of cis-Adinkras and trans-Adinkras and it has been conjectured that arbitrary representations are composites of nc-cis and nt-trans representations. Analyzing the real scalar and complex linear super-field multiplets, these “chemical enantiomer” numbers are found to be nc = nt = 1 and nc = 1, nt = 2, respectively.

The superstring, diff S1/S1, and holomorphic geometry

Presented in this paper the nature of the supersymmetrical representation theory behind 4D, = 1 theories, as described by component fields, is investigated using the tools of Adinkras and Garden Algebras. A survey of familiar matter multiplets using these techniques reveals they are described by two fundamental valise Adinkras that are given the names of the cis-Valise (c-V) and the trans-Valise (t-V). A conjecture is made that all off-shell 4D, = 1 component descriptions of supermultiplets are associated with two integers (nc, nt) — the numbers of c-V and t-V Adinkras that occur in the representation.

Lüscher term for k-string potential from holographic one loop corrections

The method of coadjoint orbits produces for any infinite dimensional Lie (super) algebra A with nontrivial central charge an action for scalar (super) fields which has at least the symmetry A. In this article, we try to make this method accessible to a larger audience by analyzing several examples in more detail than in the literature. After working through the Kac-Moody and Virasoro cases, we apply the method to the super Virasoro algebra and reobtain the supersymmetric extension of Polyakovs local nonpolynomial action for two-dimensional quantum gravity. As in the Virasoro case this action corresponds to the coadjoint orbit of a pure central extension. We further consider the actions corresponding to the other orbits of the super Virasoro algebra. As a new result we construct the actions for the N = 2 super Virasoro algebra.

Yang-Mills, gravity, and string symmetries

Abstract We incorporate superstrings into the non-perturbative formulation of string field theories based on Kahler geometry recently proposed by Bowick and Rajeev. The string field is conjectured to be the Kahler potential of loop space, its equation of motion given by the vanishing of the curvature of a product bundle constructed over a graded Diff S 1 /S 1 , as required for reparametrization invariance of the theory. We find that bosonic and fermionic loops in a Minkowski background solve the equation for the Kahler potential only in ten dimensions. We use geometric quantization techniques to calculate the curvature of the super-holomorphic vector bundle, since they emphasize the role of the complex geometry, and flag manifold techniques to calculate the curvature of the line bundle over super-Diff S 1 /S 1 .

Gauge invariant field theory of free strings

We perform a systematic analysis of k-strings in the framework of the gauge/gravity correspondence. We discuss the Klebanov-Strassler supergravity background which is known to be dual to a confining supersymmetric gauge theory with chiral sym- metry breaking. We obtain the k-string tension in agreement with expectations of field theory. Our main new result is the study of one-loop corrections on the string theoretic side. We explicitly find the frequency spectrum for both the bosons and the fermions for quadratic fluctuations about the classical supergravity solution. Further we use the mass- less modes to compute 1/L contributions to the one loop corrections to the k-string energy. This corresponds to the Luscher term contribution to the k-string potential on the gauge theoretic side of the correspondence.

Tensions and Lüscher terms for (2+1)-dimensional k-strings from holographic models

Abstract In this work we use constructs from the dual space of the semi-direct product of the Virasoro algebra and the affine Lie algebra of a circle to write a theory of gravitation which is a natural analogue of Yang-Mills theory. The theory provides a relation between quadratic differentials in 1 + 1 dimensions and rank two symmetric tensors in higher dimensions as well as a covariant local Lagrangian for two dimensional gravity. The isotropy equations of coadjoint orbits are interpreted as Gauss law constraints for a field theory in two dimensions, which enables us to extend to higher dimensions. The theory has a Newtonian limit in any space-time dimension. Our approach introduces a novel relationship between string theories and 2D field theories that might be useful in defining dual theories. We briefly discuss how this gravitational field couples to fermions.