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Topic: Superpotential

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	[No title]
		Superpotential theory: Whittaker’s 1904 paper initiated the entire area called superpotential theory.
		Paraphrasing: Whittaker (published 1904) was the first to prove that one can derive a general electromagnetic field from two scalar functions, which are really components of the vector superpotentials, with proper choices of the gauge functions.
		This is a full generalization of the vector superpotentials (for media of arbitrary properties) together with their relations to such scalar potentials as those of Debye.
	www.cheniere.org /references/superpotential.htm (600 words)

	Amazon.com: "total superpotential": Key Phrase page (Site not responding. Last check: 2007-11-07)
		The assumption that the total superpotential should be a sum f ((D) + j (Z) is somewhat arbitrary but, as we shall see, it is not...
		the total superpotential is assumed to be additively split between observable sector and hidden sector contributions.
		We write our total superpotential, P, as the sum: P = I + S + G, where I and S are given by: I =...
	www.amazon.com /phrase/total-superpotential (484 words)

	Digging up the Landscape \| Musings
		The fluxes generate a nontrivial superpotential for the complex structure moduli and the dilaton.
		The trouble is, you need to generate a superpotential that lifts all the flat directions.
		Jae and I weren’t strong enough to compute the superpotential for one of these examples, much less to show that the moduli were actually stabilized in the regime of validity of the supergravity analysis.
	golem.ph.utexas.edu /~distler/blog/archives/000359.html (1785 words)

	Exotic Instanton Effects \| Musings
		They can induce a superpotential that lifts degeneracies that are present to all orders in perturbation theory.
		So there are situations where, presumably, you need to represent the instanton-induced deformation of the classical moduli space by an exotic superpotential of the form (3), instead of the more transparent (4).
		Beasley and Witten lay out a couple of instances where they argue that’s the case, and show how you can calculate a superpotential of the form (3), induced by worldsheet instantons in heterotic string theory.
	golem.ph.utexas.edu /~distler/blog/archives/000694.html (821 words)

	3.2 On the global energy-momentum and angular momentum of gravitating systems: The successes
		The significance of this equation is that in the exterior derivative of the Nester-Witten 2-form the second derivatives of the metric appear only through the Einstein tensor, thus its structure is similar to that of the superpotential equations in the Lagrangian field theory, and
		On the other hand, if the spacetime is not stationary then, without additional restriction on the asymptotic time translation, the Komar expression does not reproduce the ADM energy.
		Thus, the angular momentum should be analogous with the spin.
	www.emis.de /journals/LRG/Articles/lrr-2004-4/articlesu4.html (2951 words)

	2.2 Quasi-local energy-momentum and angular momentum of the matter fields
		is a local function of the general field variables, the existence of this ‘superpotential’ is a consequence of the field equations and the Killing nature of the vector field
		The existence of globally defined superpotentials that are local functions of the field variables can be proven even without using the Poincaré lemma [388
		the dual superpotential is unique up to the addition of an exact 2-form.
	relativity.livingreviews.org /Articles/lrr-2004-4/articlesu2.html (2171 words)

	Recent Work (Site not responding. Last check: 2007-11-07)
		The above superpotential generalized in Jacobi elliptic functions is given by W(x) = m
		In order to find the error in the paper, the integral of the superpotential had to be done by hand (considering that Mathematica wouldn't do it).
		It was discovered that the error was in sloppy, careless notation on the part of the author.
	www.phy.davidson.edu /StuHome/timv/SUSY/work/results.htm (204 words)

	Luboš Motl's reference frame: MIT talk: Susanne Reffert (Site not responding. Last check: 2007-11-07)
		One of the interesting yet controversial points was their usage of the non-perturbative terms in the superpotential to modify the Dirac equations for the fermionic zero modes.
		But they only contribute to the superpotential W if you can find exactly two fermionic zero modes - let's say zero modes of the goldstino or the modulino - which means two solutions of the massless Dirac equation defined on the worldvolume of the D3-brane or M5-brane instanton.
		The appearance of other components of the 4-form field strength than (2,2) modifies the Dirac equation for the fermionic zero modes; in fact you find out that all the zero modes are lifted.
	schwinger.harvard.edu /~motl/blog/2005/12/mit-talk-susanne-reffert.html (658 words)

	Amazon.com: "effective superpotential": Key Phrase page (Site not responding. Last check: 2007-11-07)
		By N = 1 supersymmetry, it must look like an effective superpotential (plus terms with derivatives that could not lift a vacuum degeneracy); but, as a holomorphic function on a compact branch...
		The aim is to compute the effective superpotential for the gauge superfields obtained by integrating out the matter.
		a Wilsonian derivation of the Veneziano- Yankielowicz effective superpotential for a pure gauge theory is given using the general- ized Konishi anomaly.
	www.amazon.com /phrase/effective-superpotential (645 words)

	Scalar EM Weather Control (Site not responding. Last check: 2007-11-07)
		In superpotential theory, which was initiated by a paper by
		E.T. Whittaker in 1904, it is possible to produce EM force fields and force field energy at a distance.
		A summary of superpotential theory is given by Melba Phillips, "Classical Electrodynamics," Vol IV of Principles of Electrodynamics and Relativity, Ed.
	twm.co.nz /Beard_wmod.htm (1730 words)

	Tree-level Couplings (Site not responding. Last check: 2007-11-07)
		dependence of the (exact) tree-level superpotential is due to nonperturbative effects in the worldsheet, in particular all nonrenormalizable couplings in the superpotential are exponentially suppressed (
		A way to see that there are nonperturbative worldsheet corrections to the string tree-level superpotential is to realize that the axionic symmetry shifting
		These `selection rules' are very important to find vanishing couplings and uncover flat directions which can be used to break the original gauge symmetries and construct quasi-realistic models.
	fisica.usac.edu.gt /public/curccaf_proc/quevedo1/node9.html (992 words)

	Citebase - Whitham Prepotential and Superpotential (Site not responding. Last check: 2007-11-07)
		Authors: Itoyama, H. Kanno, H. N=2 supersymmetric U(N) Yang-Mills theory softly broken to N=1 by the superpotential of the adjoint scalar fields is discussed from the viewpoint of the Whitham deformation theory for prepotential.
		With proper identification of the superpotential we derive the matrix model curve from the condition that the mixed second derivatives of the Whitham prepotential have a nontrivial kernel.
		Users are cautioned not to use it for academic evaluation yet.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:hep-th/0312306 (115 words)

	pick_a_superpotential
		Pick a function, any (well, almost) function, and see whether it is a valid superpotential.
		The function is a valid superpotential if either/both the groundstate wavefunctions are finite and normalizable.
		Make sure to put in * for multiplication, otherwise output won't be interesting.
	webphysics.davidson.edu /mjb/UConn2000/pick_a_superp.html (58 words)

	Integrals with Filters
		Enter a Superpotential, W(x), to see a SUSY QM Potential, V
		SUSY methods then yield, from these original Hamiltonians, new partner Hamiltonians that have almost the identical energy spectrum as their partner.
		Conversely, starting from an operator called a superpotential, new Hamiltonians can be constructed and exact ground state wave functions, when they exist, can then be found using the standard graphical and integration packages of programs such as Mathematica on a personal computer or a workstation.
	webphysics.davidson.edu /qmbook/susy/susy.html (312 words)

	ELFRAD: Superpotential Theory and Scalar (Site not responding. Last check: 2007-11-07)
		Subj: Re: [KENT, PROPOSAL] Superpotential Theory and Scalar
		Kent, the gif file EDD1225, shows the recorded result of the experiment with Shoo.
		The recorded frequency was 1.618 hertz and the rise in pitch of the audio indicates the relative amplitude.
	www.cyberspaceorbit.com /elfrad/elfradscalar.html (459 words)

	Citebase - KKLT type models with moduli-mixing superpotential (Site not responding. Last check: 2007-11-07)
		Citebase - KKLT type models with moduli-mixing superpotential
		We study KKLT type models with moduli-mixing superpotential.
		In several string models, gauge kinetic functions are written as linear combinations of two or more moduli fields.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:hep-th/0511160 (203 words)

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