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 |
|---|---|---|---|---|---|---|---|---|---|
| 46925 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}^{2}$ | 0.588 | 0.742 | 0.7924 | [M:[1.2559, 0.9526, 0.7441, 1.0, 1.0237], q:[0.5, 0.2441], qb:[0.5474, 0.7559], phi:[0.4882]] | [M:[[1], [-8], [-1], [0], [4]], q:[[0], [-1]], qb:[[8], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}q_{2}^{2}$ | ${}M_{5}\phi_{1}q_{2}^{2}$ | -1 | 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. + 2*t^6.071 + t^6.142 + t^6.213 + t^6.284 + t^6.626 + 2*t^6.697 + t^6.768 + 3*t^6.839 + 3*t^6.981 + 2*t^7.123 + 2*t^7.393 + 2*t^7.536 + 2*t^7.607 + 4*t^7.678 + 2*t^7.749 + 2*t^7.82 + 2*t^8.161 - t^8.232 + 2*t^8.303 - t^8.374 + 2*t^8.445 + 2*t^8.516 + t^8.574 + 2*t^8.588 + t^8.645 + 2*t^8.659 + 2*t^8.716 + t^8.787 - t^8.858 - t^8.929 - t^4.464/y - t^7.322/y + (2*t^7.607)/y + t^8.09/y + t^8.161/y + (2*t^8.232)/y + (2*t^8.303)/y + t^8.374/y + t^8.445/y + t^8.787/y + t^8.858/y + (3*t^8.929)/y - t^4.464*y - t^7.322*y + 2*t^7.607*y + t^8.09*y + t^8.161*y + 2*t^8.232*y + 2*t^8.303*y + t^8.374*y + t^8.445*y + t^8.787*y + t^8.858*y + 3*t^8.929*y | t^2.232/g1 + g1^7*t^2.374 + t^2.858/g1^8 + t^2.929/g1^4 + t^3. + g1^4*t^3.071 + t^3.697/g1^3 + g1*t^3.768 + g1^5*t^3.839 + g1^9*t^3.91 + (2*t^4.464)/g1^2 + 2*g1^6*t^4.607 + 2*g1^14*t^4.749 + t^5.161/g1^5 + t^5.232/g1 + 2*g1^3*t^5.303 + g1^7*t^5.374 + g1^11*t^5.445 + t^5.716/g1^16 + t^5.787/g1^12 + t^5.858/g1^8 + (2*t^5.929)/g1^4 - t^6. + 2*g1^4*t^6.071 + g1^8*t^6.142 + g1^12*t^6.213 + g1^16*t^6.284 + t^6.626/g1^7 + (2*t^6.697)/g1^3 + g1*t^6.768 + 3*g1^5*t^6.839 + 3*g1^13*t^6.981 + 2*g1^21*t^7.123 + (2*t^7.393)/g1^6 + 2*g1^2*t^7.536 + 2*g1^6*t^7.607 + 4*g1^10*t^7.678 + 2*g1^14*t^7.749 + 2*g1^18*t^7.82 + (2*t^8.161)/g1^5 - t^8.232/g1 + 2*g1^3*t^8.303 - g1^7*t^8.374 + 2*g1^11*t^8.445 + 2*g1^15*t^8.516 + t^8.574/g1^24 + 2*g1^19*t^8.588 + t^8.645/g1^20 + 2*g1^23*t^8.659 + (2*t^8.716)/g1^16 + t^8.787/g1^12 - t^8.858/g1^8 - t^8.929/g1^4 - t^4.464/(g1^2*y) - t^7.322/(g1^10*y) + (2*g1^6*t^7.607)/y + t^8.09/(g1^9*y) + t^8.161/(g1^5*y) + (2*t^8.232)/(g1*y) + (2*g1^3*t^8.303)/y + (g1^7*t^8.374)/y + (g1^11*t^8.445)/y + t^8.787/(g1^12*y) + t^8.858/(g1^8*y) + (3*t^8.929)/(g1^4*y) - (t^4.464*y)/g1^2 - (t^7.322*y)/g1^10 + 2*g1^6*t^7.607*y + (t^8.09*y)/g1^9 + (t^8.161*y)/g1^5 + (2*t^8.232*y)/g1 + 2*g1^3*t^8.303*y + g1^7*t^8.374*y + g1^11*t^8.445*y + (t^8.787*y)/g1^12 + (t^8.858*y)/g1^8 + (3*t^8.929*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 |
|---|---|---|---|---|---|---|---|---|
| 55175 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{1}M_{6}$ | 0.6073 | 0.7772 | 0.7814 | [M:[1.2563, 0.95, 0.7437, 1.0, 1.025, 0.7437], q:[0.5, 0.2437], qb:[0.55, 0.7563], phi:[0.4875]] | 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. - t^4.462/y - t^4.462*y | detail | |
| 55206 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.5724 | 0.7201 | 0.7948 | [M:[1.2727, 0.8182, 0.7273, 1.0, 1.0909], q:[0.5, 0.2273], qb:[0.6818, 0.7727], phi:[0.4545]] | t^2.182 + t^2.455 + 2*t^2.727 + t^3. + t^3.273 + t^3.545 + t^3.818 + t^4.091 + 3*t^4.364 + 4*t^4.909 + 2*t^5.182 + 5*t^5.455 + 3*t^5.727 - t^4.364/y - t^4.364*y | detail | {a: 12189/21296, c: 15335/21296, M1: 14/11, M2: 9/11, M3: 8/11, M4: 1, M5: 12/11, q1: 1/2, q2: 5/22, qb1: 15/22, qb2: 17/22, phi1: 5/11} |
| 55396 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6063 | 0.7756 | 0.7818 | [M:[1.2547, 0.9623, 0.7453, 1.0, 1.0189, 0.7641], q:[0.5, 0.2453], qb:[0.5377, 0.7547], phi:[0.4906]] | t^2.236 + t^2.292 + t^2.349 + t^2.887 + t^2.943 + t^3. + t^3.057 + t^3.764 + t^3.821 + t^3.877 + 2*t^4.472 + t^4.528 + 3*t^4.585 + t^4.641 + 2*t^4.698 + 2*t^5.179 + 2*t^5.236 + 3*t^5.292 + 2*t^5.349 + t^5.406 + t^5.774 + t^5.83 + t^5.887 + t^5.943 - t^6. - t^4.472/y - t^4.472*y | detail | |
| 55394 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6081 | 0.7796 | 0.7801 | [M:[1.257, 0.9439, 0.743, 1.0, 1.028, 0.7149], q:[0.5, 0.243], qb:[0.5561, 0.757], phi:[0.486]] | t^2.145 + t^2.229 + t^2.397 + t^2.832 + t^2.916 + t^3. + t^3.084 + t^3.687 + t^3.771 + t^3.939 + t^4.29 + t^4.374 + 2*t^4.458 + t^4.542 + 2*t^4.626 + 2*t^4.795 + t^4.977 + t^5.061 + 2*t^5.145 + 2*t^5.229 + 2*t^5.313 + t^5.397 + t^5.481 + t^5.663 + t^5.748 + 2*t^5.832 + 3*t^5.916 - t^6. - t^4.458/y - t^4.458*y | detail | |
| 55242 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.5864 | 0.7409 | 0.7914 | [M:[1.2527, 0.9781, 0.7473, 1.0, 1.0109, 1.0109], q:[0.5, 0.2473], qb:[0.5219, 0.7527], phi:[0.4945]] | t^2.242 + t^2.307 + t^2.934 + t^3. + 2*t^3.033 + t^3.725 + t^3.758 + t^3.791 + t^3.824 + 2*t^4.484 + 2*t^4.549 + 2*t^4.615 + t^5.242 + 2*t^5.275 + t^5.307 + 2*t^5.34 + t^5.869 + 2*t^5.967 - 2*t^6. - t^4.484/y - t^4.484*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46760 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6522 | 0.7999 | 0.8154 | [M:[1.1615, 1.0397, 0.8385, 0.7772, 1.0915], q:[0.3886, 0.4499], qb:[0.5717, 0.7729], phi:[0.4542]] | t^2.332 + t^2.515 + t^3.065 + t^3.119 + t^3.275 + t^3.485 + t^3.694 + t^3.878 + t^4.034 + t^4.062 + t^4.244 + t^4.427 + t^4.663 + t^4.793 + t^4.847 + t^5.031 + t^5.396 + t^5.58 + t^5.606 + t^5.79 - 2*t^6. - t^4.363/y - t^4.363*y | detail |