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 |
|---|---|---|---|---|---|---|---|---|---|
| 1015 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.664 | 0.8582 | 0.7737 | [M:[1.2133, 1.1066, 0.7867, 0.8934, 0.7133, 0.6801], q:[0.75, 0.4301], qb:[0.3566, 0.4633], phi:[0.5]] | [M:[[2], [1], [-2], [-1], [2], [-3]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | 1 | t^2.04 + t^2.14 + t^2.36 + t^2.46 + t^2.68 + t^3. + t^3.32 + t^3.54 + 2*t^3.64 + 2*t^4.081 + 2*t^4.18 + 2*t^4.28 + t^4.401 + 2*t^4.5 + t^4.599 + 2*t^4.72 + 2*t^4.82 + t^4.919 + 2*t^5.04 + 2*t^5.14 + 3*t^5.36 + 2*t^5.46 + t^5.581 + 4*t^5.68 + 2*t^5.78 + t^6. + t^6.099 + 2*t^6.121 + 3*t^6.22 + 3*t^6.32 + 2*t^6.419 + 2*t^6.441 + 3*t^6.54 + 4*t^6.64 + 2*t^6.739 + 3*t^6.761 + 3*t^6.86 + 4*t^6.96 + t^7.059 + 4*t^7.081 + 3*t^7.18 + 4*t^7.28 + t^7.379 + 3*t^7.401 + 2*t^7.5 + 2*t^7.599 + 2*t^7.621 + 6*t^7.72 + 5*t^7.82 + 4*t^7.919 + t^8.04 + 3*t^8.161 + t^8.239 + 4*t^8.261 + 5*t^8.36 + 3*t^8.46 + 2*t^8.481 + 4*t^8.559 + 3*t^8.581 + 2*t^8.68 + 3*t^8.78 + 4*t^8.801 + 2*t^8.879 + 4*t^8.901 - t^4.5/y - t^6.54/y - t^6.64/y + t^7.18/y + t^7.401/y + (2*t^7.5)/y + t^7.599/y + t^7.72/y + (2*t^7.82)/y + (2*t^8.04)/y + (2*t^8.14)/y + (3*t^8.36)/y + (3*t^8.46)/y + (4*t^8.68)/y + (2*t^8.78)/y + t^8.901/y - t^4.5*y - t^6.54*y - t^6.64*y + t^7.18*y + t^7.401*y + 2*t^7.5*y + t^7.599*y + t^7.72*y + 2*t^7.82*y + 2*t^8.04*y + 2*t^8.14*y + 3*t^8.36*y + 3*t^8.46*y + 4*t^8.68*y + 2*t^8.78*y + t^8.901*y | t^2.04/g1^3 + g1^2*t^2.14 + t^2.36/g1^2 + g1^3*t^2.46 + t^2.68/g1 + t^3. + g1*t^3.32 + t^3.54/g1^3 + 2*g1^2*t^3.64 + (2*t^4.081)/g1^6 + (2*t^4.18)/g1 + 2*g1^4*t^4.28 + t^4.401/g1^5 + 2*t^4.5 + g1^5*t^4.599 + (2*t^4.72)/g1^4 + 2*g1*t^4.82 + g1^6*t^4.919 + (2*t^5.04)/g1^3 + 2*g1^2*t^5.14 + (3*t^5.36)/g1^2 + 2*g1^3*t^5.46 + t^5.581/g1^6 + (4*t^5.68)/g1 + 2*g1^4*t^5.78 + t^6. + g1^5*t^6.099 + (2*t^6.121)/g1^9 + (3*t^6.22)/g1^4 + 3*g1*t^6.32 + 2*g1^6*t^6.419 + (2*t^6.441)/g1^8 + (3*t^6.54)/g1^3 + 4*g1^2*t^6.64 + 2*g1^7*t^6.739 + (3*t^6.761)/g1^7 + (3*t^6.86)/g1^2 + 4*g1^3*t^6.96 + g1^8*t^7.059 + (4*t^7.081)/g1^6 + (3*t^7.18)/g1 + 4*g1^4*t^7.28 + g1^9*t^7.379 + (3*t^7.401)/g1^5 + 2*t^7.5 + 2*g1^5*t^7.599 + (2*t^7.621)/g1^9 + (6*t^7.72)/g1^4 + 5*g1*t^7.82 + 4*g1^6*t^7.919 + t^8.04/g1^3 + (3*t^8.161)/g1^12 + g1^7*t^8.239 + (4*t^8.261)/g1^7 + (5*t^8.36)/g1^2 + 3*g1^3*t^8.46 + (2*t^8.481)/g1^11 + 4*g1^8*t^8.559 + (3*t^8.581)/g1^6 + (2*t^8.68)/g1 + 3*g1^4*t^8.78 + (4*t^8.801)/g1^10 + 2*g1^9*t^8.879 + (4*t^8.901)/g1^5 - t^4.5/y - t^6.54/(g1^3*y) - (g1^2*t^6.64)/y + t^7.18/(g1*y) + t^7.401/(g1^5*y) + (2*t^7.5)/y + (g1^5*t^7.599)/y + t^7.72/(g1^4*y) + (2*g1*t^7.82)/y + (2*t^8.04)/(g1^3*y) + (2*g1^2*t^8.14)/y + (3*t^8.36)/(g1^2*y) + (3*g1^3*t^8.46)/y + (4*t^8.68)/(g1*y) + (2*g1^4*t^8.78)/y + t^8.901/(g1^5*y) - t^4.5*y - (t^6.54*y)/g1^3 - g1^2*t^6.64*y + (t^7.18*y)/g1 + (t^7.401*y)/g1^5 + 2*t^7.5*y + g1^5*t^7.599*y + (t^7.72*y)/g1^4 + 2*g1*t^7.82*y + (2*t^8.04*y)/g1^3 + 2*g1^2*t^8.14*y + (3*t^8.36*y)/g1^2 + 3*g1^3*t^8.46*y + (4*t^8.68*y)/g1 + 2*g1^4*t^8.78*y + (t^8.901*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2108 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6738 | 0.8749 | 0.7701 | [M:[1.2182, 1.1091, 0.7818, 0.8909, 0.7182, 0.6726, 0.8909], q:[0.75, 0.4226], qb:[0.3591, 0.4682], phi:[0.5]] | t^2.018 + t^2.155 + t^2.345 + t^2.482 + 2*t^2.673 + t^3. + t^3.518 + 2*t^3.655 + 2*t^4.036 + 2*t^4.173 + 2*t^4.309 + t^4.363 + 2*t^4.5 + t^4.637 + 3*t^4.691 + 3*t^4.827 + t^4.964 + 3*t^5.018 + 3*t^5.155 + 4*t^5.345 + t^5.482 + t^5.536 + 4*t^5.673 + t^5.809 - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 638 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6432 | 0.8175 | 0.7868 | [M:[1.2117, 1.1059, 0.7883, 0.8941, 0.7117], q:[0.75, 0.4324], qb:[0.3559, 0.4617], phi:[0.5]] | t^2.135 + t^2.365 + t^2.453 + t^2.682 + t^3. + t^3.318 + t^3.547 + 2*t^3.635 + t^3.953 + t^4.095 + t^4.182 + 2*t^4.27 + t^4.5 + t^4.588 + t^4.73 + 2*t^4.818 + t^4.905 + t^5.047 + 2*t^5.135 + 2*t^5.365 + 2*t^5.453 + 2*t^5.682 + 2*t^5.77 + t^6. - t^4.5/y - t^4.5*y | detail |