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 |
|---|---|---|---|---|---|---|---|---|---|
| 4405 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ | 0.6073 | 0.7772 | 0.7814 | [M:[1.0, 1.025, 0.95, 1.2563, 0.6937, 0.7437, 1.3063, 0.7437], q:[0.2437, 0.7563], qb:[0.5, 0.55], phi:[0.4875]] | [M:[[0], [4], [-8], [1], [-9], [-1], [9], [-1]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{8}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{7}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{8}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{8}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -2 | 2*t^2.231 + t^2.381 + t^2.85 + t^2.925 + t^3. + t^3.075 + t^3.694 + t^3.844 + t^3.919 + 4*t^4.462 + 3*t^4.613 + 2*t^4.763 + t^5.081 + 2*t^5.156 + 2*t^5.231 + 3*t^5.306 + t^5.381 + t^5.456 + t^5.7 + t^5.775 + t^5.85 + 3*t^5.925 - 2*t^6. + 3*t^6.075 + t^6.15 + t^6.225 + t^6.3 + 5*t^6.694 + 5*t^6.844 + 5*t^6.994 + 2*t^7.144 + t^7.312 + 4*t^7.387 + t^7.462 + 4*t^7.538 + 2*t^7.613 + 4*t^7.688 + 2*t^7.763 + 2*t^7.838 + t^7.931 + t^8.006 + t^8.081 + 5*t^8.156 - 5*t^8.231 + 5*t^8.306 - 2*t^8.381 + 3*t^8.456 + t^8.531 + t^8.55 + 2*t^8.606 + t^8.625 + 2*t^8.681 + 2*t^8.7 + t^8.775 - t^8.85 + 3*t^8.925 - t^4.462/y - t^6.694/y - t^7.312/y + t^7.462/y + (3*t^7.613)/y + (2*t^8.081)/y + (2*t^8.156)/y + (4*t^8.231)/y + (3*t^8.306)/y + t^8.381/y + t^8.456/y + t^8.775/y + t^8.85/y + (3*t^8.925)/y - t^4.462*y - t^6.694*y - t^7.312*y + t^7.462*y + 3*t^7.613*y + 2*t^8.081*y + 2*t^8.156*y + 4*t^8.231*y + 3*t^8.306*y + t^8.381*y + t^8.456*y + t^8.775*y + t^8.85*y + 3*t^8.925*y | (2*t^2.231)/g1 + g1^7*t^2.381 + t^2.85/g1^8 + t^2.925/g1^4 + t^3. + g1^4*t^3.075 + t^3.694/g1^3 + g1^5*t^3.844 + g1^9*t^3.919 + (4*t^4.462)/g1^2 + 3*g1^6*t^4.613 + 2*g1^14*t^4.763 + t^5.081/g1^9 + (2*t^5.156)/g1^5 + (2*t^5.231)/g1 + 3*g1^3*t^5.306 + g1^7*t^5.381 + g1^11*t^5.456 + t^5.7/g1^16 + t^5.775/g1^12 + t^5.85/g1^8 + (3*t^5.925)/g1^4 - 2*t^6. + 3*g1^4*t^6.075 + g1^8*t^6.15 + g1^12*t^6.225 + g1^16*t^6.3 + (5*t^6.694)/g1^3 + 5*g1^5*t^6.844 + 5*g1^13*t^6.994 + 2*g1^21*t^7.144 + t^7.312/g1^10 + (4*t^7.387)/g1^6 + t^7.462/g1^2 + 4*g1^2*t^7.538 + 2*g1^6*t^7.613 + 4*g1^10*t^7.688 + 2*g1^14*t^7.763 + 2*g1^18*t^7.838 + t^7.931/g1^17 + t^8.006/g1^13 + t^8.081/g1^9 + (5*t^8.156)/g1^5 - (5*t^8.231)/g1 + 5*g1^3*t^8.306 - 2*g1^7*t^8.381 + 3*g1^11*t^8.456 + g1^15*t^8.531 + t^8.55/g1^24 + 2*g1^19*t^8.606 + t^8.625/g1^20 + 2*g1^23*t^8.681 + (2*t^8.7)/g1^16 + t^8.775/g1^12 - t^8.85/g1^8 + (3*t^8.925)/g1^4 - t^4.462/(g1^2*y) - t^6.694/(g1^3*y) - t^7.312/(g1^10*y) + t^7.462/(g1^2*y) + (3*g1^6*t^7.613)/y + (2*t^8.081)/(g1^9*y) + (2*t^8.156)/(g1^5*y) + (4*t^8.231)/(g1*y) + (3*g1^3*t^8.306)/y + (g1^7*t^8.381)/y + (g1^11*t^8.456)/y + t^8.775/(g1^12*y) + t^8.85/(g1^8*y) + (3*t^8.925)/(g1^4*y) - (t^4.462*y)/g1^2 - (t^6.694*y)/g1^3 - (t^7.312*y)/g1^10 + (t^7.462*y)/g1^2 + 3*g1^6*t^7.613*y + (2*t^8.081*y)/g1^9 + (2*t^8.156*y)/g1^5 + (4*t^8.231*y)/g1 + 3*g1^3*t^8.306*y + g1^7*t^8.381*y + g1^11*t^8.456*y + (t^8.775*y)/g1^12 + (t^8.85*y)/g1^8 + (3*t^8.925*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5905 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{9}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6256 | 0.8106 | 0.7718 | [M:[1.0, 1.0202, 0.9597, 1.255, 0.7047, 0.745, 1.2953, 0.745, 0.7651], q:[0.245, 0.755], qb:[0.5, 0.5403], phi:[0.4899]] | 2*t^2.235 + t^2.295 + t^2.356 + t^2.879 + t^2.94 + t^3. + t^3.06 + t^3.826 + t^3.886 + 4*t^4.47 + 2*t^4.53 + 4*t^4.591 + t^4.651 + 2*t^4.712 + t^5.114 + 3*t^5.174 + 3*t^5.235 + 4*t^5.295 + 2*t^5.356 + t^5.416 + t^5.758 + t^5.819 + t^5.879 + t^5.94 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
| 5906 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{9}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6275 | 0.815 | 0.7699 | [M:[1.0, 1.0292, 0.9415, 1.2573, 0.6842, 0.7427, 1.3158, 0.7427, 0.7134], q:[0.2427, 0.7573], qb:[0.5, 0.5585], phi:[0.4854]] | t^2.14 + 2*t^2.228 + t^2.404 + t^2.825 + t^2.912 + t^3. + t^3.088 + t^3.684 + t^3.947 + t^4.281 + 2*t^4.368 + 4*t^4.456 + t^4.544 + 3*t^4.632 + 2*t^4.807 + t^4.965 + 2*t^5.053 + 3*t^5.14 + 3*t^5.228 + 3*t^5.316 + t^5.404 + t^5.491 + t^5.649 + t^5.737 + 2*t^5.825 + 3*t^5.912 - 2*t^6. - t^4.456/y - t^4.456*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2379 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.588 | 0.742 | 0.7924 | [M:[1.0, 1.0237, 0.9526, 1.2559, 0.6967, 0.7441, 1.3033], q:[0.2441, 0.7559], qb:[0.5, 0.5474], phi:[0.4882]] | t^2.232 + t^2.374 + t^2.858 + t^2.929 + t^3. + t^3.071 + t^3.697 + t^3.768 + t^3.839 + t^3.91 + 2*t^4.464 + 2*t^4.607 + 2*t^4.749 + t^5.161 + t^5.232 + 2*t^5.303 + t^5.374 + t^5.445 + t^5.716 + t^5.787 + t^5.858 + 2*t^5.929 - t^6. - t^4.464/y - t^4.464*y | detail |