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 |
|---|---|---|---|---|---|---|---|---|---|
| 47244 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6931 | 0.8486 | 0.8169 | [M:[1.0269, 0.9731, 0.9731, 1.009, 1.009], q:[0.5045, 0.4687], qb:[0.5224, 0.5224], phi:[0.4955]] | [M:[[6], [-6], [-6], [2], [2]], q:[[1], [-7]], qb:[[5], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$ | ${}M_{1}M_{2}$ | -2 | 2*t^2.919 + t^2.973 + 2*t^3.027 + t^3.081 + t^3.134 + t^4.299 + t^4.406 + 2*t^4.46 + t^4.513 + 2*t^4.567 + 3*t^4.621 + t^5.839 + t^5.893 + 3*t^5.946 - 2*t^6. + 3*t^6.054 + 2*t^6.107 + t^6.161 + t^6.215 + t^6.269 + 2*t^7.218 + t^7.272 + t^7.325 + 3*t^7.379 + 3*t^7.433 + t^7.487 + 5*t^7.54 + 5*t^7.594 + 3*t^7.648 + 3*t^7.701 + 3*t^7.755 + t^8.597 + t^8.704 + 2*t^8.758 + 4*t^8.866 - t^8.919 - t^8.973 - t^4.487/y - t^7.406/y + t^7.46/y - t^7.513/y + t^7.567/y + t^8.839/y + (2*t^8.893)/y + (4*t^8.946)/y - t^4.487*y - t^7.406*y + t^7.46*y - t^7.513*y + t^7.567*y + t^8.839*y + 2*t^8.893*y + 4*t^8.946*y | (2*t^2.919)/g1^6 + t^2.973/g1^2 + 2*g1^2*t^3.027 + g1^6*t^3.081 + g1^10*t^3.134 + t^4.299/g1^15 + t^4.406/g1^7 + (2*t^4.46)/g1^3 + g1*t^4.513 + 2*g1^5*t^4.567 + 3*g1^9*t^4.621 + t^5.839/g1^12 + t^5.893/g1^8 + (3*t^5.946)/g1^4 - 2*t^6. + 3*g1^4*t^6.054 + 2*g1^8*t^6.107 + g1^12*t^6.161 + g1^16*t^6.215 + g1^20*t^6.269 + (2*t^7.218)/g1^21 + t^7.272/g1^17 + t^7.325/g1^13 + (3*t^7.379)/g1^9 + (3*t^7.433)/g1^5 + t^7.487/g1 + 5*g1^3*t^7.54 + 5*g1^7*t^7.594 + 3*g1^11*t^7.648 + 3*g1^15*t^7.701 + 3*g1^19*t^7.755 + t^8.597/g1^30 + t^8.704/g1^22 + (2*t^8.758)/g1^18 + (4*t^8.866)/g1^10 - t^8.919/g1^6 - t^8.973/g1^2 - t^4.487/(g1*y) - t^7.406/(g1^7*y) + t^7.46/(g1^3*y) - (g1*t^7.513)/y + (g1^5*t^7.567)/y + t^8.839/(g1^12*y) + (2*t^8.893)/(g1^8*y) + (4*t^8.946)/(g1^4*y) - (t^4.487*y)/g1 - (t^7.406*y)/g1^7 + (t^7.46*y)/g1^3 - g1*t^7.513*y + g1^5*t^7.567*y + (t^8.839*y)/g1^12 + (2*t^8.893*y)/g1^8 + (4*t^8.946*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 |
|---|---|---|---|---|---|---|---|---|
| 55527 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.6965 | 0.8542 | 0.8154 | [M:[1.0458, 0.9542, 0.9542, 1.0153, 1.0153, 0.9542], q:[0.5076, 0.4466], qb:[0.5381, 0.5381], phi:[0.4924]] | 3*t^2.863 + t^2.954 + 2*t^3.046 + t^3.229 + t^4.157 + t^4.34 + 2*t^4.431 + t^4.523 + 2*t^4.614 + 3*t^4.706 + 4*t^5.725 + 2*t^5.817 + 5*t^5.908 - 4*t^6. - t^4.477/y - t^4.477*y | detail | |
| 51859 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ | 0.6941 | 0.85 | 0.8166 | [M:[1.0333, 0.9667, 0.9667, 1.0111, 1.0111, 0.9889], q:[0.5056, 0.4611], qb:[0.5278, 0.5278], phi:[0.4944]] | 2*t^2.9 + 2*t^2.967 + t^3.033 + t^3.1 + t^3.167 + t^4.25 + t^4.383 + 2*t^4.45 + t^4.517 + 2*t^4.583 + 3*t^4.65 + t^5.8 + 3*t^5.867 + 3*t^5.933 - 2*t^6. - t^4.483/y - t^4.483*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46681 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.7101 | 0.8727 | 0.8137 | [M:[0.9774, 0.8432, 1.0226, 1.0523, 0.8729], q:[0.5261, 0.4964], qb:[0.6307, 0.4513], phi:[0.4739]] | t^2.53 + t^2.619 + t^2.843 + t^2.932 + t^3.068 + t^3.157 + t^3.246 + t^4.129 + t^4.265 + t^4.354 + t^4.4 + t^4.489 + t^4.578 + t^4.668 + t^4.803 + t^4.892 + t^5.059 + t^5.148 + t^5.206 + t^5.237 + t^5.373 + t^5.462 + t^5.551 + 2*t^5.686 + 2*t^5.776 + t^5.865 - 2*t^6. - t^4.422/y - t^4.422*y | detail |