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 |
|---|---|---|---|---|---|---|---|---|---|
| 46198 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.7004 | 0.8555 | 0.8187 | [M:[1.0, 1.0368, 1.0, 0.8895], q:[0.4448, 0.5552], qb:[0.5184, 0.5552], phi:[0.4816]] | [M:[[-3, 1], [2, 0], [3, -1], [-6, 0]], 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 |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}^{2}$, ${ }M_{3}^{2}$ | -2 | t^2.669 + t^2.89 + 2*t^3. + t^3.11 + 2*t^3.221 + t^4.113 + t^4.334 + 2*t^4.445 + t^4.555 + 2*t^4.666 + 3*t^4.776 + t^5.337 + t^5.558 + t^5.779 + 2*t^5.89 - 2*t^6. + 2*t^6.11 + 3*t^6.221 + 3*t^6.442 + t^6.782 + 2*t^7.003 + 2*t^7.113 + t^7.224 + 4*t^7.334 + 2*t^7.445 + 2*t^7.555 + 5*t^7.666 + 4*t^7.776 + 3*t^7.887 + 4*t^7.997 + t^8.006 + 2*t^8.227 + 2*t^8.448 + 2*t^8.558 - 2*t^8.669 + 2*t^8.779 - t^4.445/y - t^7.113/y + t^7.776/y + t^8.558/y + (2*t^8.669)/y + t^8.779/y + (4*t^8.89)/y - t^4.445*y - t^7.113*y + t^7.776*y + t^8.558*y + 2*t^8.669*y + t^8.779*y + 4*t^8.89*y | t^2.669/g1^6 + t^2.89/g1^2 + (g1^3*t^3.)/g2 + (g2*t^3.)/g1^3 + g1^2*t^3.11 + (g1^7*t^3.221)/g2 + g1*g2*t^3.221 + t^4.113/g1^7 + t^4.334/g1^3 + (g1^2*t^4.445)/g2 + (g2*t^4.445)/g1^4 + g1*t^4.555 + (g1^6*t^4.666)/g2 + g2*t^4.666 + g1^5*t^4.776 + (g1^11*t^4.776)/g2^2 + (g2^2*t^4.776)/g1 + t^5.337/g1^12 + t^5.558/g1^8 + t^5.779/g1^4 + (g1*t^5.89)/g2 + (g2*t^5.89)/g1^5 - 2*t^6. + (g1^5*t^6.11)/g2 + (g2*t^6.11)/g1 + g1^4*t^6.221 + (g1^10*t^6.221)/g2^2 + (g2^2*t^6.221)/g1^2 + g1^8*t^6.442 + (g1^14*t^6.442)/g2^2 + g1^2*g2^2*t^6.442 + t^6.782/g1^13 + (2*t^7.003)/g1^9 + t^7.113/(g1^4*g2) + (g2*t^7.113)/g1^10 + t^7.224/g1^5 + (2*t^7.334)/g2 + (2*g2*t^7.334)/g1^6 + (g1^5*t^7.445)/g2^2 + (g2^2*t^7.445)/g1^7 + (g1^4*t^7.555)/g2 + (g2*t^7.555)/g1^2 + g1^3*t^7.666 + (2*g1^9*t^7.666)/g2^2 + (2*g2^2*t^7.666)/g1^3 + (g1^14*t^7.776)/g2^3 + (g1^8*t^7.776)/g2 + g1^2*g2*t^7.776 + (g2^3*t^7.776)/g1^4 + g1^7*t^7.887 + (g1^13*t^7.887)/g2^2 + g1*g2^2*t^7.887 + (g1^18*t^7.997)/g2^3 + (g1^12*t^7.997)/g2 + g1^6*g2*t^7.997 + g2^3*t^7.997 + t^8.006/g1^18 + (2*t^8.227)/g1^14 + (2*t^8.448)/g1^10 + t^8.558/(g1^5*g2) + (g2*t^8.558)/g1^11 - (2*t^8.669)/g1^6 + t^8.779/(g1*g2) + (g2*t^8.779)/g1^7 - (2*t^8.89)/g1^2 + (g1^4*t^8.89)/g2^2 + (g2^2*t^8.89)/g1^8 - t^4.445/(g1*y) - t^7.113/(g1^7*y) + (g1^5*t^7.776)/y + t^8.558/(g1^8*y) + t^8.669/(g1^3*g2*y) + (g2*t^8.669)/(g1^9*y) + t^8.779/(g1^4*y) + (2*g1*t^8.89)/(g2*y) + (2*g2*t^8.89)/(g1^5*y) - (t^4.445*y)/g1 - (t^7.113*y)/g1^7 + g1^5*t^7.776*y + (t^8.558*y)/g1^8 + (t^8.669*y)/(g1^3*g2) + (g2*t^8.669*y)/g1^9 + (t^8.779*y)/g1^4 + (2*g1*t^8.89*y)/g2 + (2*g2*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 46734 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ | 0.7041 | 0.8617 | 0.8171 | [M:[1.0, 1.0435, 1.0, 0.8694, 0.9565], q:[0.4347, 0.5653], qb:[0.5218, 0.5653], phi:[0.4782]] | t^2.608 + 2*t^2.869 + 2*t^3. + 2*t^3.261 + t^4.043 + t^4.304 + 2*t^4.435 + t^4.565 + 2*t^4.696 + 3*t^4.826 + t^5.217 + 2*t^5.478 + 2*t^5.739 + 4*t^5.869 - 3*t^6. - t^4.435/y - t^4.435*y | detail | |
| 46436 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6987 | 0.854 | 0.8181 | [M:[0.9697, 1.0303, 1.0303, 0.9091], q:[0.4545, 0.5758], qb:[0.5152, 0.5152], phi:[0.4848]] | t^2.727 + 2*t^2.909 + 3*t^3.091 + t^3.273 + t^4.182 + 2*t^4.364 + 4*t^4.545 + 2*t^4.727 + t^4.909 + t^5.455 + t^5.636 + 2*t^5.818 + t^6. - t^4.455/y - t^4.455*y | detail | {a: 2029/2904, c: 310/363, M1: 32/33, M2: 34/33, M3: 34/33, M4: 10/11, q1: 5/11, q2: 19/33, qb1: 17/33, qb2: 17/33, phi1: 16/33} |
| 46777 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6973 | 0.8507 | 0.8196 | [M:[1.0, 1.03, 1.0, 0.9101, 1.03], q:[0.4551, 0.5449], qb:[0.515, 0.5449], phi:[0.485]] | t^2.73 + 2*t^3. + 2*t^3.09 + 2*t^3.18 + t^4.185 + t^4.365 + 2*t^4.455 + t^4.545 + 2*t^4.635 + 3*t^4.725 + t^5.461 + t^5.82 - 3*t^6. - t^4.455/y - t^4.455*y | detail | |
| 46383 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7095 | 0.8721 | 0.8136 | [M:[1.0279, 1.0487, 0.9721, 0.8538, 0.8746], q:[0.4269, 0.5452], qb:[0.5244, 0.601], phi:[0.4756]] | t^2.561 + t^2.624 + t^2.854 + t^2.916 + t^3.084 + t^3.146 + t^3.209 + t^3.988 + t^4.281 + t^4.343 + t^4.511 + t^4.573 + t^4.636 + t^4.698 + t^4.803 + t^4.866 + t^5.033 + t^5.123 + t^5.185 + t^5.248 + t^5.415 + t^5.478 + t^5.54 + 2*t^5.708 + 2*t^5.77 + t^5.832 - 2*t^6. - t^4.427/y - t^4.427*y | detail | |
| 46725 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6584 | 0.8122 | 0.8107 | [M:[1.1514, 1.0789, 0.8486, 0.7633], q:[0.3816, 0.467], qb:[0.5395, 0.7697], phi:[0.4605]] | t^2.29 + t^2.546 + t^2.763 + t^3.019 + t^3.237 + t^3.454 + t^3.671 + 2*t^3.928 + t^4.145 + t^4.184 + t^4.401 + t^4.58 + t^4.618 + t^4.836 + t^5.053 + t^5.092 + 2*t^5.309 + t^5.527 + t^5.565 + t^5.783 + t^5.961 - t^6. - t^4.382/y - t^4.382*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46032 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.7126 | 0.866 | 0.8228 | [M:[1.0, 0.9022, 1.0, 0.9171], q:[0.4586, 0.5414], qb:[0.6393, 0.5414], phi:[0.4548]] | t^2.706 + t^2.729 + t^2.751 + 2*t^3. + 2*t^3.542 + t^4.116 + 2*t^4.364 + 3*t^4.613 + t^4.658 + 2*t^4.907 + t^5.2 + t^5.413 + t^5.435 + t^5.458 + t^5.48 + t^5.503 + 2*t^5.729 - 3*t^6. - t^4.364/y - t^4.364*y | detail |