Transparent substrate having nano pattern and method of manufacturing the same

An electrically conductive and light transmissive layer, comprising:

• a transparent substrate;
• a transparent layer provided over the transparent substrate and having first and second surfaces which are opposing surfaces, the first surface being provided over the transparent substrate;
• first and second pattern areas formed in second surface of the transparent layer, a pattern of the first and second pattern areas being formed by a plurality of recesses;
• a first protrusion extending from the second surface such that the protrusion has a different height from and provided between the first and second pattern areas, the height being a distance from the first surface to the second surface in a direction of the protrusion;
• and
• a metal layer formed over the protrusion.

An electrically conductive and light transmissive layer for a display device, comprising:

• a transparent substrate;
• a transparent layer provided over the transparent substrate, the transparent layer having first and second surfaces, which are opposing surfaces, the first surface facing the transparent substrate, the second surface having a plurality of protrusions extending in different directions such that the plurality of first protrusions intersect to form recess regions on the second surface, and the recess regions having a plurality of second protrusions, the second protrusions having a height and a width less than the first protrusions;
• and
• at least one metallic wiring layer formed on the plurality of first protrusions including at locations where the first protrusions intersect.