121472335
Supersymmetry at high density
119312840
'Stringy' Coherent States Inspired By Generalized Uncertainty Principle
Abstract Coherent States with Fractional Revival property, that explicitly satisfy the Generalized Uncertainty Principle (GUP), have been constructed in the context of Generalized Harmonic Oscillator. The existence of such states is essential in motivating the GUP based phenomenological results present in the literature which otherwise would be of purely academic interest. The effective phase space is Non-Canonical (or Non-Commutative in popular terminology). Our results have a smooth commutative limit, equivalent to Heisenberg Uncertainty Principle. The Fractional Revival time analysis yields an independent bound on the GUP parameter. Using this and similar bounds obtained here, we derive the largest possible value of the (GUP induced) minimum length scale. Mandel parameter analysis shows that the statistics is Sub-Poissonian. Correspondence Principle is deformed in an interesting way. Our computational scheme is very simple as it requires only first order corrected energy values and undeformed basis states.
119751583
On supersymmetry and random sources
We evaluate the one loop effective potential for the supersymmetric Higgs model in the presence of a gaussian random source and examine supersymmetry breaking at the one loop level.
120571457
Supersymmetric anyon quantum mechanics
Abstract We develop a framework for anyons within supersymmetric quantum mechanics. We prove that supersymmetry can be realized spectrally but necessarily requires a contact interaction which modifies in a specific way the usual regularity condition of the wavefunction at the origin.
14129154
A new class of PT-symmetric Hamiltonians with real spectra
Abstract We investigate complex PT-symmetric potentials, associated with quasi-exactly solvable non-Hermitian models involving polynomials and a class of rational functions. We also look for special solutions of intertwining relations of SUSY quantum mechanics providing a partnership between a real and a complex PT-symmetric potential of the kind mentioned above. We investigate conditions sufficient to ensure the reality of the full spectrum or, for the quasi-exactly solvable systems, the reality of the energy of the finite number of levels.
8406718
Motion of a spin-½ particle in shape invariant scalar and magnetic fields
We study the motion of a spin-½ particle in a scalar as well as a magnetic field within the framework of supersymmetric quantum mechanics. We also introduce the concept of shape invariant scalar and magnetic fields and it is shown that the problem admits exact analytical solutions when such fields are considered.
15621923
Neutrino symmetries from high to low scales
Proposed symmetry relations, e.g., quark-lepton complementarity (QLC) or tribimaximal mixing (TBM), need to be imposed at a high scale and {approx}10{sup 12} GeV characterising the large masses of right-handed neutrinos required to implement the seesaw mechanism. RG evolution down to the laboratory scale {lambda}{approx}10{sup 3} GeV, generically prone to spoil these relations and their predicted neutrino mixing patterns, can be made to preserve them by appropriately constraining the Majorana phases {alpha}{sub 2,3}. This is explicitly demonstrated in the MSSM for two versions of QLC and two versions of TBM. A preference for {alpha}{sub 2}{approx_equal}{pi} (i.e. m{sub 1}{approx_equal}-m{sub 2}) emerges in each case. Discrimination among the four cases is shown to be possible by future measurements of {theta}{sub 13}.
119753398
Ultralight Dirac neutrinos from possible supergrand scenario
Persistent experimental suggestions about the electron neutrino being an ultralight Dirac particle in the mass range 20 to 55 eV have underlined the need to theoretically generate such a mass naturally, i.e., without any arbitrarily small Yukawa coupling or Higgs-field vacuum expectation value. A mechanism for this is proposed in this paper in terms of a 4\ifmmode\times\else\texttimes\fi{}4 neutral-fermion Majorana mass matrix for a single-generation world. The physical eigenstates turn out to be one ultralight and one very heavy Dirac neutrino within each fermion family. A general discussion (including the many-generation case) is given of the necessary and sufficient conditions for the emergence of such ultralight Dirac neutrinos. We also consider the skeleton of an illustrative, though incomplete, SO(10) supersymmetric (SUSY) grand unified theory (GUT) scenario\char22{}with a geometric type of hierarchy and some global symmetries\char22{}in which the aforesaid mass matrix is likely to arise. The ultralight neutrino Dirac mass is related at the tree level to that of its charge-$\frac{2}{3}$ family member by ${m}_{\ensuremath{\nu}}\ensuremath{\sim}m(\frac{2}{3})\frac{{M}_{\mathrm{SUSY}}}{{M}_{\mathrm{GUT}}}$ and radiative corrections are shown to be controllably small. Various implications of this result are brought out.
16169416
Seeking Supersymmetry at LEP
1. Scope and motivation 
2. Lightning review of CMSSM 
3. LEP 1 bounds and LEP 1.5 results 
4. LEP 2 futurology 
5. Bottomline
125018064
Supersymmetry working group report, 'From strings to LHC' workshop, Goa, (January, 2007)
121460845
Spinor-inverted solution to thirring model and its generalization to U(n) symmetry
Abstract Using the properties of massless free Fermi fields in (1-1) dimensions, it is shown that the spinor inverted form of Klaiber's operator solution to Thirring model is also a scale-invariant solution of the model. But unlike the former it admits a nonvanishing SU(n) current coupling in the generalization of the model to include U(n) symmetry. The value of this coupling constant is fixed and equals Dashen-Frishman number −4π (n + 1) . The general form of the 2m-point function is given and operates product expansions are exhibited in terms of composite local operators. Scale dimensions of all the bilinear and quadrilinear local operators with U(n) symmetry are computed and are found to depend on n. However, different parts of a composite local operator belonging to different irreducible U(n) representations have the same dimension.