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SUMMARY:Fundamental Interactions\, Geometry and Topology.
DTSTART;VALUE=DATE-TIME:20181025T073000Z
DTEND;VALUE=DATE-TIME:20181025T153000Z
DTSTAMP;VALUE=DATE-TIME:20210926T062207Z
UID:indico-event-16892@agenda.infn.it
DESCRIPTION:One-day workshop on the interface between the Theory of Fundam
ental Interactions and Mathematics.\n\nProgram:\n9.30 - 10.30 Dmitri SOROK
IN (INFN - Padua section - Italy) "Geometry of surfaces and dynamics of br
anes"\n10.30-11.00 coffee-break\n11.00-12.00 Erik PLAUSCHINN (LMU - Munic
h - Germany) "Non-Geometric Backgrounds in String Theory"\n12.00-13.00 Fal
k HASSLER (Oviedo University - Spain) "Poisson-Lie T-Duality in Double Fie
ld Theory"\n13.00-14.30 Lunch break\n14.30-15.30 Giulio BONELLI (SISSA - T
rieste - Italy) "Spectral Geometry of Supersymmetric Gauge Theories"\n15.3
0- 16.00 Coffee break\n16.00-17.00 Camillo IMBIMBO (Genoa Univ. - Italy)
"Emergent Topological Structures in Supergravity"\n17.00-17.30 Discussion
and conclusions\n\nABSTRACTS:\n\nSOROKIN - We will overview how the dynami
cs of relativistic objects such as particles\, strings and membranes is na
turally described by the geometric theory of surfaces embedded into ambien
t spaces. A generalization of the surface theory to the description of sup
ersymmetric surfaces in target superspaces governed by a universal superem
bedding condition will be shown (using a simple example) to unify differen
t formulations of String Theory and describe the dynamics of all known sup
er-branes.\n\nPLAUSCHINN - String theory is a theory with compelling physi
cal and mathematical features. One of them is its rich structure of dualit
ies\, which connects different formulations of string theory among each ot
her. Using dualities\, one finds that a string can be well-defined on spac
es which are ill-defined for point-particles. Such spaces are called non-g
eometric backgrounds\, and they give rise to interesting structures both i
n physics and mathematics.\nIn this talk I will give an introduction to no
n-geometric backgrounds in string theory as well as an overview of the mai
n developments in this field.\n\nHASSLER - A formulation of Double Field T
heory is presented which makes Poisson-Lie T-duality manifest. It allows t
o identify the doubled space with a Drinfeld double and provides a powerfu
l tool to extract the transformation of the metric\, B-field\, dilaton and
R/R potentials under Poisson-Lie T-duality.\n\nBONELLI - The moduli space
of vacua of supersymmetric gauge theories and of its BPS saturated observ
ables is described by associated integrable systems. We will discuss the g
eometric engineering of supersymmetric gauge theories via superstring theo
ry and show that the extra dimensions naturally encode the spectral geomet
ry of the associated integrable systems. Distinct dual embeddings point to
different features of the QFT encoding diverse presentations of exact par
tition functions. We will exemplify this class of phenomena in the case of
4 and 5 dimensional gauge theories with eight supercharges.\n\nIMBIMBO -
We describe two different topological structures sitting inside supergrav
ity. The first one is universal and consists of topological gravity couple
d to topological Yang-Mills. The second one appears for a certain class of
"twistable" supergravities: it consists of several topological scalar mul
tiplets coupled to topological gravity. The topological scalar multiplets
transform in the vector representation of a non-compact duality group. Bo
th these structures are ``emergent'\, in the sense that (part of) the top
ological fields are composites of the microscopic supergravity fields. On
the space of supersymmetric vacua\, the two topological structures are rel
ated by certain polynomial relations\, which are equivalent to the integra
bility conditions of the equations for generalized covariantly constant sp
inors. This fact provides a powerful tool to analyze the space of classica
l supersymmetric vacua of supergravity. \n\nMore details on \n\nhttps://ag
enda.infn.it/conferenceDisplay.py?confId=17317\n\nhttps://agenda.infn.it/e
vent/16892/
LOCATION:Dipartimento di Fisica "Ettore Pancini" Aula Caianiello
URL:https://agenda.infn.it/event/16892/
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