The trouble is that slides have both a wider (more saturated) color gamut and a higher contrast ratio than any monitor can display. Because of that you'll never be able to exactly replicate the look of a slide on a light table exactly, but you can get pretty close, especially if you are viewing it on a wide gamut screen like an Apple device with P3 gamut or an AdobeRGB display.
First thing to do would be to use DCamProf or Lumariver Profile Designer to make a custom raw DNG/ICC profile using, ideally, an IT8 target (or, even better, a target with more patches like a Hutch Color Target) on a slide using the same stock (or at least the same manufacturer) as the slides you're duplicating with the scanner (or camera and light source) that you're using.
After that you'll need to work out how you want to tone map the image of your slide to display on your screen. Some slides can have up to 13 stops of density (~10000:1 contrast ratio) but even high end monitors max out at around 10 stops and most monitors can only display a contrast range of about 8 stops. So when you scan a slide with, say, 12 stops of density and display it on a monitor that can only display 8 stops you either end up with highlight/shadow clipping or a 25% reduction in contrast and saturation and you'll have to use exposure compensation/tone curves to compress highlight and/or shadow detail to approximate the midtone contrast and saturation that you saw in the slide
