arXiv subjects

I. B. Samsonov

Publications and source records attributed to I. B. Samsonov.

52 records · Page 3Linked to original sources

arXiv2012

Two-loop effective potentials in general N=2, d=3 chiral superfield model

We study local superspace contributions to low-energy effective action in general chiral three-dimensional superfield model. The effective Kahler and chiral potentials are computed in explicit form up to the two-loop order. In accordance with the non-renormalization theorem, the ultraviolet divergences appear only in the full superspace while the effective chiral potential receives only finite quantum contributions in the massless case. As an application, the two-loop effective scalar potential is found for the three-dimensional N=2 supersymmetric Wess-Zumino model.

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arXiv2012

Superconformal N=3 SYM Low-Energy Effective Action

We construct a manifestly N=3 supersymmetric low-energy effective action of N=3 super Yang-Mills theory. The effective action is written in the N=3 harmonic superspace and respects the full N=3 superconformal symmetry. On mass shell this action is responsible for the four-derivative terms in the N=4 SYM effective action, such as F^4/X^4 and its supersymmetric completions, while off shell it involves also higher-derivative terms. For constant Maxwell and scalar fields its bosonic part coincides, up to the F^6/X^8 order, with the bosonic part of the D3 brane action in the AdS_5 x S^5 background. We also argue that in the sector of scalar fields it involves the correctly normalized Wess-Zumino term with the implicit SU(3) symmetry.

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arXiv2010

Low-energy effective actions in three-dimensional extended SYM theories

We develop the background field method in the N=2, d=3 superspace for studying effective actions in three-dimensional SYM models which live in the world-volume of various 2-branes. In particular, the low-energy effective action for the N=2 quiver gauge theory with four chiral superfields in the bifundamental representation is studied. This gauge theory describes the D2 brane probing the conifold singularity. Surprisingly, the leading terms in this effective action reproduce the classical action of the Abelian ABJM theory confirming the fact that the M2 brane can be considered as the effective theory for the D2 brane at strong coupling. Apart from this N=2 quiver gauge theory we study the low-energy effective action in pure N=2, N=4 and N=8 SYM theories with gauge group SU(N) spontaneously broken down to an Abelian subgroup. In particular, for the N=4 SYM we find similar correspondence between the leading terms in its effective action and the classical action of the Abelian Gaiotto-Witten theory.

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arXiv2010

Effective action of three-dimensional extended supersymmetric matter on gauge superfield background

We study the low-energy effective actions for gauge superfields induced by quantum N=2 and N=4 supersymmetric matter fields in three-dimensional Minkowski space. Analyzing the superconformal invariants in the N=2 superspace we propose a general form of the N=2 gauge invariant and superconformal effective action. The leading terms in this action are fixed by the symmetry up to the coefficients while the higher order terms with respect to the Maxwell field strength are found up to one arbitrary function of quasi-primary N=2 superfields constructed from the superfield strength and its covariant spinor derivatives. Then we find this function and the coefficients by direct quantum computations in the N=2 superspace. The effective action of N=4 gauge multiplet is obtained by generalizing the N=2 effective action.

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arXiv2009

Quantum N=3, d=3 Chern-Simons Matter Theories in Harmonic Superspace

We develop the background field method for studying classical and quantum aspects of N=3, d=3 Chern-Simons and matter theories in N=3 harmonic superspace. As one of the immediate consequences, we prove a nonrenormalization theorem implying the ultra-violet finiteness of the corresponding supergraph perturbation theory. We also derive the general hypermultiplet and gauge superfield propagators in a Chern-Simons background. The leading supergraphs with two and four external lines are evaluated. In contrast to the non-supersymmetric theory, the leading quantum correction to the massive charged hypermultiplet proves to be the super Yang-Mills action rather than the Chern-Simons one. The hypermultiplet mass is induced by a constant triplet of central charges in the N=3, d=3 Poincare superalgebra.

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arXiv2009

ABJM models in N=3 harmonic superspace

We construct the classical action of the Aharony-Bergman-Jafferis-Maldacena (ABJM) model in the N=3, d=3 harmonic superspace. In such a formulation three out of six supersymmetries are realized off shell while the other three mix the superfields and close on shell. The superfield action involves two hypermultiplet superfields in the bifundamental representation of the gauge group and two Chern-Simons gauge superfields corresponding to the left and right gauge groups. The N=3 superconformal invariance allows only for a minimal gauge interaction of the hypermultiplets. Amazingly, the correct sextic scalar potential of ABJM emerges after the elimination of auxiliary fields. Besides the original U(N)xU(N) ABJM model, we also construct N=3 superfield formulations of some generalizations. For the SU(2)xSU(2) case we give a simple superfield proof of its enhanced N=8 supersymmetry and SO(8) R-symmetry.

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arXiv2008

N=3 Superparticle Model

We consider the formulation and quantization of the N=3 superparticle model, both with and without central charge. Without the central charge the action possesses U(3) invariance and therefore is naturally quantized in the N=3 harmonic superspace. The quantization reproduces the N=3 supergauge strength multiplets, described by analytic N=3 superfields and a gravitino multiplet as a constrained N=3 chiral superfield. When the central charge is present, it breaks the U(3) R-symmetry of N=3 superalgebra down to SU(2)xU(1), and the corresponding superparticle model is formulated in the N=2 harmonic superspace extended by a pair of extra Grassmann variables. The quantization of such a model leads to the massive BPS N=3 vector multiplet. It is shown that upon additional superfield constraints such multiplet reduces to the massive N=2 vector multiplet.

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arXiv2008

N=4 superparticle and super Yang-Mills theory in USp(4) harmonic superspace

We study the N=4 harmonic superparticle model, both with and without central charge and quantize it. Since the central charge breaks the U(4) R-symmetry group of the N=4 superalgebra down to USp(4), we consider the superparticle dynamics in N=4 harmonic superspace with USp(4)/(U(1)xU(1)) harmonic variables. We show that the quantization of a massive superparticle with central charge leads to a superfield realization of the N=4 massive vector multiplet in N=4 harmonic superspace. In the massless case without central charge the superparticle quantization reproduces three different multiplets: the N=4 SYM multiplet, the N=4 gravitino multiplet and N=4 supergravity multiplet. The SYM multiplet is described by six analytic superfield strengths with different types of analyticity. We show that these strengths solve the N=4 SYM constraints and can be used for the construction of actions in N=4 harmonic superspace.

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arXiv2007

Gauge theory in deformed N=(1,1) superspace

We review the non-anticommutative Q-deformations of N=(1,1) supersymmetric theories in four-dimensional Euclidean harmonic superspace. These deformations preserve chirality and harmonic Grassmann analyticity. The associated field theories arise as a low-energy limit of string theory in specific backgrounds and generalize the Moyal-deformed supersymmetric field theories. A characteristic feature of the Q-deformed theories is the half-breaking of supersymmetry in the chiral sector of the Euclidean superspace. Our main focus is on the chiral singlet Q-deformation, which is distinguished by preserving the SO(4) Spin(4) ``Lorentz'' symmetry and the SU(2) R-symmetry. We present the superfield and component structures of the deformed N=(1,0) supersymmetric gauge theory as well as of hypermultiplets coupled to a gauge superfield: invariant actions, deformed transformation rules, and so on. We discuss quantum aspects of these models and prove their renormalizability in the abelian case. For the charged hypermultiplet in an abelian gauge superfield background we construct the deformed holomorphic effective action.

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arXiv2006

Vector-multiplet effective action in the non-anticommutative charged hypermultiplet model

We investigate the quantum aspects of a charged hypermultiplet in deformed N=(1,1) superspace with singlet non-anticommutative deformation of supersymmetry. This model is a "star" modification of the hypermultiplet interacting with a background Abelian vector superfield. We prove that this model is renormalizable in the sense that the divergent part of the effective action is proportional to the N=(1,0) non-anticommutative super Yang-Mills action. We also calculate the finite part of the low-energy effective action depending on the vector multiplet, which corresponds to the (anti)holomorphic potential. The holomorphic piece is just deformed to the star-generalization of the standard holomorphic potential, while the antiholomorphic piece is not. We also reveal the component structure and find the deformation of the mass and the central charge.

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arXiv2006

Renormalizability of non-anticommutative N=(1,1) theories with singlet deformation

We study the quantum properties of two theories with a non-anticommutative (or nilpotent) chiral singlet deformation of N=(1,1) supersymmetry: the abelian model of a vector gauge multiplet and the model of a gauge multiplet interacting with a neutral hypermultiplet. In spite of the presence of a negative-mass-dimension coupling constant (deformation parameter), both theories are shown to be finite in the sense that the full effective action is one-loop exact and contains finitely many divergent terms, which vanish on-shell. The beta-function for the coupling constant is equal to zero. The divergencies can all be removed off shell by a redefinition of one of the two scalar fields of the gauge multiplet. These notable quantum properties are tightly related to the existence of a Seiberg-Witten-type transformation in both models.

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arXiv2004

On Low-Energy Effective Action in N=3 Supersymmetric Gauge Theory

The problem of construction of low-energy effective action in N=3 SYM theory is considered within the harmonic superspace (HSS) approach. The low-energy effective action is supposed to be a gauge- and scale-invariant functional in N=3 HSS reproducing the term F^4/ϕ^4 in components. This functional is found as a scale-invariant generalization of the F^4-term in N=3 supersymmetric Born-Infeld action.

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arXiv2004

Scale Invariant Low-Energy Effective Action in N=3 SYM Theory

Using the harmonic superspace approach we study the problem of low-energy effective action in N=3 SYM theory. The candidate effective action is a scale and γ_5-invariant functional in full N=3 superspace built out of N=3 off-shell superfield strengths. This action is constructed as N=3 superfield generalization of F^4/ϕ^4 component term which is leading in the low-energy effective action and is simultaneously the first nontrivial term in scale invariant Born-Infeld action. All higher-order terms in the scale invariant Born-Infeld action are also shown to admit an off-shell superfield completion in N=3 harmonic superspace.

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arXiv2001

On Low-Energy Effective Action of Noncommutative Hypermultiplet Model

We consider the noncommutative hypermultiplet model within harmonic superspace approach. The 1-loop four-point contributions to the effective action of selfinteracting q-hypermultiplet are computed. This model has two coupling constants instead of a single one in commutative case. It is shown that both these coupling constants are generated by 1-loop quantum corrections in the model of q-hypermultiplet interacting with vector multiplet. The holomorphic effective action of q-hypermultiplet in external gauge superfield is calculated. For the fundamental representation there is no UV/IR-mixing and the holomorphic potential is a star-product generalization of a standard commutative one. For the adjoint representation of U(N) gauge group the leading contributions to the holomorphic effective action are given by the terms respecting for the UV/IR-mixing which are related to U(1) phase of U(N) group.

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arXiv2001

Noncommutative N=2 Supersymmetric Theories in Harmonic Superspace

We discuss a formulation of harmonic superspace approach for noncommuative N=2 supersymmetric field theories paying main attention on new features arising because of noncommutativity. We begin with the known notions of the harmonic superfield models and results obtained and consider how these notions and results are modified in the noncommutative case. The actions of basic N=2 models, like hypermultiplet and N=2 vector multiplet, are given in terms of unconstrained off-shell superfields on noncommutative harmonic superspace. We calculate the low-energy contributions to the effective actions of these models. The background field method in noncommutative harmonic superspace is developed and it is applied to study the 1-loop effective action in general noncommutative N=2 model and N=4 SYM theory.

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arXiv1999

On Holomorphic Effective Actions of Hypermultiplets Coupled to External Gauge Superfields

We study the structure of holomorphic effective action for hypermultiplet models interacting with background super Yang-Mills fields. A general form of holomorphic effective action is found for hypermultiplet belonging to arbitrary representation of any semisimple compact Lie group spontaneously broken to its maximal abelian subgroup. The applications of obtained results to hypermultiplets in fundamental and adjoint representations of the SU(n), SO(n), Sp(n) groups are considered.

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