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 |
|---|---|---|---|---|---|---|---|---|---|
| 53881 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ | 0.7132 | 0.8781 | 0.8122 | [M:[1.0035, 1.0554, 0.9965, 0.8338, 0.9446, 0.8926, 0.9965], q:[0.4169, 0.5797], qb:[0.5277, 0.5866], phi:[0.4723]] | [M:[[-3, 1], [2, 0], [3, -1], [-6, 0], [-2, 0], [-7, 1], [3, -1]], q:[[-3, 0], [6, -1]], qb:[[1, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$ | ${}$ | -4 | t^2.501 + t^2.678 + 2*t^2.834 + 2*t^2.99 + t^3.343 + t^3.918 + t^4.251 + t^4.407 + t^4.427 + t^4.583 + t^4.739 + t^4.76 + t^4.895 + t^4.916 + t^4.936 + t^5.003 + t^5.179 + 2*t^5.335 + t^5.356 + t^5.491 + t^5.512 + 4*t^5.668 + 3*t^5.823 + 2*t^5.979 - 4*t^6. - t^6.156 + t^6.177 + t^6.42 - t^6.488 - t^6.509 + t^6.596 + t^6.686 + 3*t^6.752 + 2*t^6.908 + t^6.929 + 2*t^7.084 + t^7.105 + 3*t^7.24 + 3*t^7.261 + 2*t^7.396 + t^7.417 + t^7.438 + t^7.504 + 2*t^7.573 + t^7.593 + t^7.614 + t^7.681 + 3*t^7.729 + 2*t^7.77 + 3*t^7.836 + t^7.857 + 2*t^7.884 - t^7.905 + t^7.992 + t^8.013 + t^8.034 - t^8.061 - t^8.082 + 4*t^8.169 + t^8.19 + t^8.279 + 2*t^8.325 + 3*t^8.345 + t^8.481 + t^8.501 + 5*t^8.657 - 3*t^8.678 + 4*t^8.813 - 8*t^8.834 + t^8.921 + 2*t^8.969 - 8*t^8.99 - t^4.417/y - t^6.918/y - t^7.095/y - t^7.251/y - t^7.407/y + t^7.427/y + t^7.583/y + t^7.739/y + t^7.916/y + t^8.179/y + (2*t^8.335)/y + (2*t^8.491)/y + (2*t^8.512)/y + (3*t^8.668)/y + (4*t^8.823)/y + t^8.844/y + t^8.979/y - t^4.417*y - t^6.918*y - t^7.095*y - t^7.251*y - t^7.407*y + t^7.427*y + t^7.583*y + t^7.739*y + t^7.916*y + t^8.179*y + 2*t^8.335*y + 2*t^8.491*y + 2*t^8.512*y + 3*t^8.668*y + 4*t^8.823*y + t^8.844*y + t^8.979*y | t^2.501/g1^6 + (g2*t^2.678)/g1^7 + (2*t^2.834)/g1^2 + (2*g1^3*t^2.99)/g2 + g1*g2*t^3.343 + t^3.918/g1^7 + t^4.251/g1^3 + (g1^2*t^4.407)/g2 + (g2*t^4.427)/g1^4 + g1*t^4.583 + (g1^6*t^4.739)/g2 + g2*t^4.76 + (g1^11*t^4.895)/g2^2 + g1^5*t^4.916 + (g2^2*t^4.936)/g1 + t^5.003/g1^12 + (g2*t^5.179)/g1^13 + (2*t^5.335)/g1^8 + (g2^2*t^5.356)/g1^14 + t^5.491/(g1^3*g2) + (g2*t^5.512)/g1^9 + (4*t^5.668)/g1^4 + (3*g1*t^5.823)/g2 + (2*g1^6*t^5.979)/g2^2 - 4*t^6. - (g1^5*t^6.156)/g2 + (g2*t^6.177)/g1 + t^6.42/g1^13 - (g1^9*t^6.488)/g2 - g1^3*g2*t^6.509 + (g2*t^6.596)/g1^14 + g1^2*g2^2*t^6.686 + (3*t^6.752)/g1^9 + (2*t^6.908)/(g1^4*g2) + (g2*t^6.929)/g1^10 + (2*t^7.084)/g1^5 + (g2^2*t^7.105)/g1^11 + (3*t^7.24)/g2 + (3*g2*t^7.261)/g1^6 + (2*g1^5*t^7.396)/g2^2 + t^7.417/g1 + (g2^2*t^7.438)/g1^7 + t^7.504/g1^18 + (2*g1^4*t^7.573)/g2 + (g2*t^7.593)/g1^2 + (g2^3*t^7.614)/g1^8 + (g2*t^7.681)/g1^19 + (3*g1^9*t^7.729)/g2^2 + (2*g2^2*t^7.77)/g1^3 + (3*t^7.836)/g1^14 + (g2^2*t^7.857)/g1^20 + (2*g1^14*t^7.884)/g2^3 - (g1^8*t^7.905)/g2 + t^7.992/(g1^9*g2) + (g2*t^8.013)/g1^15 + (g2^3*t^8.034)/g1^21 - (g1^13*t^8.061)/g2^2 - g1^7*t^8.082 + (4*t^8.169)/g1^10 + (g2^2*t^8.19)/g1^16 + g2^3*t^8.279 + (2*t^8.325)/(g1^5*g2) + (3*g2*t^8.345)/g1^11 + t^8.481/g2^2 + t^8.501/g1^6 + (5*t^8.657)/(g1*g2) - (3*g2*t^8.678)/g1^7 + (4*g1^4*t^8.813)/g2^2 - (8*t^8.834)/g1^2 + t^8.921/g1^19 + (2*g1^9*t^8.969)/g2^3 - (8*g1^3*t^8.99)/g2 - t^4.417/(g1*y) - t^6.918/(g1^7*y) - (g2*t^7.095)/(g1^8*y) - t^7.251/(g1^3*y) - (g1^2*t^7.407)/(g2*y) + (g2*t^7.427)/(g1^4*y) + (g1*t^7.583)/y + (g1^6*t^7.739)/(g2*y) + (g1^5*t^7.916)/y + (g2*t^8.179)/(g1^13*y) + (2*t^8.335)/(g1^8*y) + (2*t^8.491)/(g1^3*g2*y) + (2*g2*t^8.512)/(g1^9*y) + (3*t^8.668)/(g1^4*y) + (4*g1*t^8.823)/(g2*y) + (g2*t^8.844)/(g1^5*y) + (g1^6*t^8.979)/(g2^2*y) - (t^4.417*y)/g1 - (t^6.918*y)/g1^7 - (g2*t^7.095*y)/g1^8 - (t^7.251*y)/g1^3 - (g1^2*t^7.407*y)/g2 + (g2*t^7.427*y)/g1^4 + g1*t^7.583*y + (g1^6*t^7.739*y)/g2 + g1^5*t^7.916*y + (g2*t^8.179*y)/g1^13 + (2*t^8.335*y)/g1^8 + (2*t^8.491*y)/(g1^3*g2) + (2*g2*t^8.512*y)/g1^9 + (3*t^8.668*y)/g1^4 + (4*g1*t^8.823*y)/g2 + (g2*t^8.844*y)/g1^5 + (g1^6*t^8.979*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56496 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{4}M_{6}$ | 0.6944 | 0.852 | 0.8151 | [M:[1.0403, 1.0081, 0.9597, 0.9758, 0.9919, 1.0242, 0.9597], q:[0.4879, 0.4718], qb:[0.504, 0.5524], phi:[0.496]] | 2*t^2.879 + t^2.928 + 2*t^2.976 + t^3.072 + t^3.169 + t^4.319 + t^4.367 + 2*t^4.415 + t^4.464 + t^4.512 + t^4.56 + t^4.609 + t^4.657 + t^4.802 + 2*t^5.758 + t^5.807 + 4*t^5.855 + t^5.903 + 3*t^5.952 - 3*t^6. - t^4.488/y - t^4.488*y | detail | |
| 56497 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}^{2}$ | 0.7029 | 0.864 | 0.8136 | [M:[1.0614, 1.0307, 0.9386, 0.9079, 0.9693, 1.0, 0.9386], q:[0.454, 0.4847], qb:[0.5153, 0.6074], phi:[0.4847]] | t^2.724 + 2*t^2.816 + 2*t^2.908 + t^3. + t^3.368 + t^4.178 + t^4.27 + 2*t^4.362 + t^4.454 + t^4.546 + t^4.638 + t^4.73 + t^4.822 + t^5.099 + t^5.447 + t^5.54 + 4*t^5.632 + 4*t^5.724 + 4*t^5.816 - 3*t^6. - t^4.454/y - t^4.454*y | detail | |
| 56499 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.7339 | 0.918 | 0.7994 | [M:[1.0031, 1.053, 0.9969, 0.841, 0.947, 0.8971, 0.9969, 0.6855], q:[0.4205, 0.5764], qb:[0.5265, 0.5826], phi:[0.4735]] | t^2.056 + t^2.523 + t^2.691 + 2*t^2.841 + 2*t^2.991 + t^3.327 + t^4.113 + t^4.262 + t^4.411 + t^4.43 + 2*t^4.579 + t^4.729 + 2*t^4.748 + t^4.879 + 3*t^4.897 + t^4.916 + t^5.046 + 2*t^5.047 + t^5.214 + 2*t^5.364 + t^5.383 + t^5.384 + t^5.514 + t^5.532 + 4*t^5.682 + 3*t^5.832 + 2*t^5.981 - 4*t^6. - t^4.421/y - t^4.421*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46927 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7143 | 0.8808 | 0.8109 | [M:[0.9724, 1.0548, 1.0276, 0.8356, 0.9452, 0.8628], q:[0.4178, 0.6098], qb:[0.5274, 0.5546], phi:[0.4726]] | t^2.507 + t^2.588 + 2*t^2.836 + t^2.917 + t^3.083 + t^3.246 + t^3.924 + t^4.253 + t^4.335 + t^4.501 + t^4.582 + t^4.664 + t^4.745 + t^4.829 + t^4.911 + t^5.013 + t^5.077 + t^5.095 + t^5.177 + 2*t^5.342 + 2*t^5.424 + t^5.505 + 3*t^5.671 + 2*t^5.753 + t^5.834 + t^5.918 - 3*t^6. - t^4.418/y - t^4.418*y | detail |