Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 4554 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.7077 | 0.8733 | 0.8104 | [M:[1.0333, 0.9, 0.8667, 1.0666, 1.0, 0.9334, 0.9334, 1.0333], q:[0.55, 0.4167], qb:[0.5833, 0.5167], phi:[0.4833]] | [M:[[2], [-6], [-8], [4], [0], [-4], [-4], [2]], q:[[3], [-5]], qb:[[5], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{8}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$ | ${}$ | -3 | t^2.6 + t^2.7 + 2*t^2.8 + t^3. + 2*t^3.1 + t^3.95 + t^4.25 + t^4.35 + t^4.45 + t^4.55 + t^4.65 + 2*t^4.75 + t^4.85 + t^4.95 + t^5.2 + t^5.3 + 3*t^5.4 + t^5.5 + 3*t^5.6 + 2*t^5.7 + 3*t^5.8 + 2*t^5.9 - 3*t^6. + t^6.2 - t^6.3 - t^6.4 - t^6.5 + t^6.55 + t^6.65 + 2*t^6.75 + t^6.85 + 2*t^6.95 + 4*t^7.05 + 2*t^7.15 + 3*t^7.25 + 4*t^7.35 + 3*t^7.45 + 4*t^7.55 + t^7.65 + 2*t^7.75 + t^7.8 + t^7.85 + 2*t^7.9 + 3*t^8. + 2*t^8.1 - t^8.15 + 5*t^8.2 + 3*t^8.3 + 6*t^8.4 + 4*t^8.5 - t^8.6 + t^8.7 - 4*t^8.8 + t^8.9 - t^4.45/y - t^7.05/y - t^7.15/y - t^7.25/y + t^7.35/y - t^7.55/y + t^7.65/y + t^7.75/y + t^7.85/y + t^8.3/y + (2*t^8.4)/y + (2*t^8.5)/y + (2*t^8.6)/y + (3*t^8.7)/y + (4*t^8.8)/y + (4*t^8.9)/y - t^4.45*y - t^7.05*y - t^7.15*y - t^7.25*y + t^7.35*y - t^7.55*y + t^7.65*y + t^7.75*y + t^7.85*y + t^8.3*y + 2*t^8.4*y + 2*t^8.5*y + 2*t^8.6*y + 3*t^8.7*y + 4*t^8.8*y + 4*t^8.9*y | t^2.6/g1^8 + t^2.7/g1^6 + (2*t^2.8)/g1^4 + t^3. + 2*g1^2*t^3.1 + t^3.95/g1^11 + t^4.25/g1^5 + t^4.35/g1^3 + t^4.45/g1 + g1*t^4.55 + g1^3*t^4.65 + 2*g1^5*t^4.75 + g1^7*t^4.85 + g1^9*t^4.95 + t^5.2/g1^16 + t^5.3/g1^14 + (3*t^5.4)/g1^12 + t^5.5/g1^10 + (3*t^5.6)/g1^8 + (2*t^5.7)/g1^6 + (3*t^5.8)/g1^4 + (2*t^5.9)/g1^2 - 3*t^6. + g1^4*t^6.2 - g1^6*t^6.3 - g1^8*t^6.4 - g1^10*t^6.5 + t^6.55/g1^19 + t^6.65/g1^17 + (2*t^6.75)/g1^15 + t^6.85/g1^13 + (2*t^6.95)/g1^11 + (4*t^7.05)/g1^9 + (2*t^7.15)/g1^7 + (3*t^7.25)/g1^5 + (4*t^7.35)/g1^3 + (3*t^7.45)/g1 + 4*g1*t^7.55 + g1^3*t^7.65 + 2*g1^5*t^7.75 + t^7.8/g1^24 + g1^7*t^7.85 + (2*t^7.9)/g1^22 + (3*t^8.)/g1^20 + (2*t^8.1)/g1^18 - g1^13*t^8.15 + (5*t^8.2)/g1^16 + (3*t^8.3)/g1^14 + (6*t^8.4)/g1^12 + (4*t^8.5)/g1^10 - t^8.6/g1^8 + t^8.7/g1^6 - (4*t^8.8)/g1^4 + t^8.9/g1^2 - t^4.45/(g1*y) - t^7.05/(g1^9*y) - t^7.15/(g1^7*y) - t^7.25/(g1^5*y) + t^7.35/(g1^3*y) - (g1*t^7.55)/y + (g1^3*t^7.65)/y + (g1^5*t^7.75)/y + (g1^7*t^7.85)/y + t^8.3/(g1^14*y) + (2*t^8.4)/(g1^12*y) + (2*t^8.5)/(g1^10*y) + (2*t^8.6)/(g1^8*y) + (3*t^8.7)/(g1^6*y) + (4*t^8.8)/(g1^4*y) + (4*t^8.9)/(g1^2*y) - (t^4.45*y)/g1 - (t^7.05*y)/g1^9 - (t^7.15*y)/g1^7 - (t^7.25*y)/g1^5 + (t^7.35*y)/g1^3 - g1*t^7.55*y + g1^3*t^7.65*y + g1^5*t^7.75*y + g1^7*t^7.85*y + (t^8.3*y)/g1^14 + (2*t^8.4*y)/g1^12 + (2*t^8.5*y)/g1^10 + (2*t^8.6*y)/g1^8 + (3*t^8.7*y)/g1^6 + (4*t^8.8*y)/g1^4 + (4*t^8.9*y)/g1^2 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 6045 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{6}M_{9}$ | 0.7021 | 0.8626 | 0.8139 | [M:[1.0274, 0.9179, 0.8906, 1.0547, 1.0, 0.9453, 0.9453, 1.0274, 1.0547], q:[0.541, 0.4316], qb:[0.5684, 0.5137], phi:[0.4863]] | t^2.672 + t^2.754 + t^2.836 + t^3. + 2*t^3.082 + t^3.164 + t^4.049 + t^4.295 + t^4.377 + t^4.459 + t^4.541 + t^4.623 + 2*t^4.705 + t^4.787 + t^4.869 + t^5.343 + t^5.426 + 2*t^5.508 + t^5.672 + 2*t^5.754 + 3*t^5.836 + t^5.918 - 2*t^6. - t^4.459/y - t^4.459*y | detail | |
| 6047 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.7285 | 0.914 | 0.7971 | [M:[1.0323, 0.9032, 0.871, 1.0645, 1.0, 0.9355, 0.9355, 1.0323, 0.6774], q:[0.5484, 0.4193], qb:[0.5807, 0.5161], phi:[0.4839]] | t^2.032 + t^2.613 + t^2.71 + 2*t^2.806 + t^3. + 2*t^3.097 + t^4.065 + t^4.258 + t^4.355 + t^4.452 + t^4.548 + 2*t^4.645 + 3*t^4.742 + 3*t^4.839 + t^4.936 + t^5.032 + 2*t^5.129 + t^5.226 + t^5.322 + 3*t^5.419 + t^5.516 + 3*t^5.613 + 2*t^5.71 + 3*t^5.806 + 2*t^5.903 - 3*t^6. - t^4.452/y - t^4.452*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 2509 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{4}M_{7}$ | 0.7109 | 0.8797 | 0.8082 | [M:[1.0363, 0.8911, 0.8549, 1.0726, 1.0, 0.9274, 0.9274], q:[0.5544, 0.4093], qb:[0.5907, 0.5181], phi:[0.4819]] | t^2.565 + t^2.673 + 2*t^2.782 + t^2.891 + t^3. + t^3.109 + t^3.901 + t^4.228 + t^4.337 + t^4.446 + t^4.554 + t^4.663 + 2*t^4.772 + t^4.881 + t^4.99 + t^5.129 + t^5.238 + 3*t^5.347 + 2*t^5.456 + 4*t^5.565 + 3*t^5.673 + 3*t^5.782 + t^5.891 - 2*t^6. - t^4.446/y - t^4.446*y | detail |