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 |
|---|---|---|---|---|---|---|---|---|---|
| 46505 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.7114 | 0.8732 | 0.8147 | [M:[0.8231, 0.9476, 1.059, 0.9345, 1.0], q:[0.5557, 0.6212], qb:[0.4967, 0.4443], phi:[0.4705]] | [M:[[6, 6], [-2, 2], [-2, -2], [6, 2], [0, 0]], q:[[0, -2], [-6, -4]], qb:[[2, 0], [0, 2]], phi:[[1, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{4}$ | ${}$ | -2 | t^2.469 + t^2.803 + t^2.823 + t^2.843 + t^3. + t^3.177 + t^3.354 + t^4.078 + t^4.235 + t^4.392 + t^4.412 + t^4.569 + t^4.608 + t^4.746 + t^4.765 + t^4.939 + t^4.942 + t^5.139 + t^5.273 + t^5.293 + t^5.312 + t^5.607 + 3*t^5.646 + t^5.686 + t^5.823 + t^5.98 - 2*t^6. + t^6.02 + t^6.177 - t^6.334 + t^6.354 - t^6.373 + t^6.547 + t^6.704 + t^6.707 + t^6.861 + t^6.881 + t^6.901 + t^6.92 + t^7.038 + t^7.058 + 2*t^7.078 + t^7.195 + 2*t^7.215 + 2*t^7.235 + t^7.372 + t^7.392 + t^7.408 + t^7.412 + t^7.431 + t^7.451 + t^7.549 + t^7.569 + t^7.588 + t^7.608 + t^7.742 + 2*t^7.746 + t^7.762 + t^7.782 + t^7.962 + t^7.982 + t^8.076 + 3*t^8.116 + t^8.119 + 2*t^8.155 + t^8.41 + 2*t^8.45 - t^8.469 + 3*t^8.489 + t^8.492 + t^8.528 + t^8.646 - t^8.666 + t^8.686 + 2*t^8.784 - 3*t^8.803 - 3*t^8.843 + t^8.863 + t^8.961 - t^8.98 - t^4.412/y - t^6.881/y - t^7.215/y - t^7.254/y + t^7.569/y + t^7.608/y + t^7.942/y + t^8.273/y + t^8.293/y + t^8.312/y + t^8.469/y + t^8.627/y + (2*t^8.646)/y + t^8.666/y + t^8.803/y + (2*t^8.823)/y + t^8.843/y + t^8.98/y - t^4.412*y - t^6.881*y - t^7.215*y - t^7.254*y + t^7.569*y + t^7.608*y + t^7.942*y + t^8.273*y + t^8.293*y + t^8.312*y + t^8.469*y + t^8.627*y + 2*t^8.646*y + t^8.666*y + t^8.803*y + 2*t^8.823*y + t^8.843*y + t^8.98*y | g1^6*g2^6*t^2.469 + g1^6*g2^2*t^2.803 + g1^2*g2^2*t^2.823 + (g2^2*t^2.843)/g1^2 + t^3. + t^3.177/(g1^2*g2^2) + t^3.354/(g1^4*g2^4) + g1*g2^5*t^4.078 + g1^3*g2^3*t^4.235 + g1^5*g2*t^4.392 + g1*g2*t^4.412 + (g1^3*t^4.569)/g2 + t^4.608/(g1^5*g2) + (g1*t^4.746)/g2^3 + t^4.765/(g1^3*g2^3) + g1^12*g2^12*t^4.939 + t^4.942/(g1^5*g2^5) + t^5.139/(g1^11*g2^7) + g1^12*g2^8*t^5.273 + g1^8*g2^8*t^5.293 + g1^4*g2^8*t^5.312 + g1^12*g2^4*t^5.607 + 3*g1^4*g2^4*t^5.646 + (g2^4*t^5.686)/g1^4 + g1^2*g2^2*t^5.823 + g1^4*t^5.98 - 2*t^6. + t^6.02/g1^4 + t^6.177/(g1^2*g2^2) - t^6.334/g2^4 + t^6.354/(g1^4*g2^4) - t^6.373/(g1^8*g2^4) + g1^7*g2^11*t^6.547 + g1^9*g2^9*t^6.704 + t^6.707/(g1^8*g2^8) + g1^11*g2^7*t^6.861 + g1^7*g2^7*t^6.881 + g1^3*g2^7*t^6.901 + (g2^7*t^6.92)/g1 + g1^9*g2^5*t^7.038 + g1^5*g2^5*t^7.058 + 2*g1*g2^5*t^7.078 + g1^11*g2^3*t^7.195 + 2*g1^7*g2^3*t^7.215 + 2*g1^3*g2^3*t^7.235 + g1^9*g2*t^7.372 + g1^5*g2*t^7.392 + g1^18*g2^18*t^7.408 + g1*g2*t^7.412 + (g2*t^7.431)/g1^3 + (g2*t^7.451)/g1^7 + (g1^7*t^7.549)/g2 + (g1^3*t^7.569)/g2 + t^7.588/(g1*g2) + t^7.608/(g1^5*g2) + g1^18*g2^14*t^7.742 + (2*g1*t^7.746)/g2^3 + g1^14*g2^14*t^7.762 + g1^10*g2^14*t^7.782 + t^7.962/(g1^9*g2^5) + t^7.982/(g1^13*g2^5) + g1^18*g2^10*t^8.076 + 3*g1^10*g2^10*t^8.116 + t^8.119/(g1^7*g2^7) + 2*g1^2*g2^10*t^8.155 + g1^18*g2^6*t^8.41 + 2*g1^10*g2^6*t^8.45 - g1^6*g2^6*t^8.469 + 3*g1^2*g2^6*t^8.489 + t^8.492/(g1^15*g2^11) + (g2^6*t^8.528)/g1^6 + g1^4*g2^4*t^8.646 - g2^4*t^8.666 + (g2^4*t^8.686)/g1^4 + 2*g1^10*g2^2*t^8.784 - 3*g1^6*g2^2*t^8.803 - (3*g2^2*t^8.843)/g1^2 + (g2^2*t^8.863)/g1^6 + g1^8*t^8.961 - g1^4*t^8.98 - (g1*g2*t^4.412)/y - (g1^7*g2^7*t^6.881)/y - (g1^7*g2^3*t^7.215)/y - (g2^3*t^7.254)/(g1*y) + (g1^3*t^7.569)/(g2*y) + t^7.608/(g1^5*g2*y) + t^7.942/(g1^5*g2^5*y) + (g1^12*g2^8*t^8.273)/y + (g1^8*g2^8*t^8.293)/y + (g1^4*g2^8*t^8.312)/y + (g1^6*g2^6*t^8.469)/y + (g1^8*g2^4*t^8.627)/y + (2*g1^4*g2^4*t^8.646)/y + (g2^4*t^8.666)/y + (g1^6*g2^2*t^8.803)/y + (2*g1^2*g2^2*t^8.823)/y + (g2^2*t^8.843)/(g1^2*y) + (g1^4*t^8.98)/y - g1*g2*t^4.412*y - g1^7*g2^7*t^6.881*y - g1^7*g2^3*t^7.215*y - (g2^3*t^7.254*y)/g1 + (g1^3*t^7.569*y)/g2 + (t^7.608*y)/(g1^5*g2) + (t^7.942*y)/(g1^5*g2^5) + g1^12*g2^8*t^8.273*y + g1^8*g2^8*t^8.293*y + g1^4*g2^8*t^8.312*y + g1^6*g2^6*t^8.469*y + g1^8*g2^4*t^8.627*y + 2*g1^4*g2^4*t^8.646*y + g2^4*t^8.666*y + g1^6*g2^2*t^8.803*y + 2*g1^2*g2^2*t^8.823*y + (g2^2*t^8.843*y)/g1^2 + g1^4*t^8.98*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 47161 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ | 0.6973 | 0.8552 | 0.8154 | [M:[0.9472, 1.0528, 1.0176, 0.912, 1.0], q:[0.4824, 0.5704], qb:[0.4648, 0.5176], phi:[0.4912]] | t^2.736 + t^2.842 + t^2.947 + t^3. + t^3.053 + t^3.106 + t^3.158 + t^4.262 + t^4.315 + t^4.368 + t^4.421 + t^4.474 + 2*t^4.579 + t^4.632 + t^4.738 + t^4.896 + t^5.472 + t^5.577 + t^5.683 + 2*t^5.789 + 2*t^5.894 + t^5.947 - t^6. - t^4.474/y - t^4.474*y | detail | |
| 46950 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$ | 0.6972 | 0.855 | 0.8154 | [M:[0.949, 0.915, 1.017, 1.051, 1.0], q:[0.551, 0.5], qb:[0.534, 0.449], phi:[0.4915]] | t^2.745 + t^2.847 + t^2.949 + t^3. + t^3.051 + t^3.102 + t^3.153 + t^4.169 + t^4.322 + t^4.424 + 2*t^4.475 + t^4.576 + t^4.627 + t^4.678 + t^4.729 + t^4.78 + t^5.49 + t^5.592 + t^5.694 + 2*t^5.796 + 2*t^5.898 + t^5.949 - t^6. - t^4.475/y - t^4.475*y | detail | |
| 47009 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.7092 | 0.8704 | 0.8148 | [M:[0.8409, 1.0, 1.053, 0.8939, 1.0], q:[0.5265, 0.6326], qb:[0.4735, 0.4735], phi:[0.4735]] | t^2.523 + t^2.682 + t^2.841 + 2*t^3. + t^3.159 + t^3.318 + 3*t^4.261 + 2*t^4.42 + t^4.58 + 2*t^4.739 + t^4.898 + t^5.045 + t^5.205 + t^5.216 + 2*t^5.364 + t^5.523 + 3*t^5.682 + 2*t^5.841 - t^6. - t^4.42/y - t^4.42*y | detail | |
| 46855 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.7172 | 0.8839 | 0.8115 | [M:[0.8005, 0.9418, 1.0665, 0.9252, 1.0, 0.9335], q:[0.5624, 0.6372], qb:[0.4959, 0.4376], phi:[0.4667]] | t^2.401 + t^2.776 + 2*t^2.8 + t^2.825 + t^3. + t^3.399 + t^4.026 + t^4.201 + t^4.375 + t^4.4 + t^4.575 + t^4.625 + t^4.774 + t^4.799 + t^4.803 + t^4.999 + t^5.177 + 2*t^5.202 + t^5.223 + t^5.227 + t^5.551 + t^5.576 + 4*t^5.601 + t^5.626 + t^5.651 + 2*t^5.8 - 3*t^6. - t^4.4/y - t^4.4*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46324 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ | 0.7466 | 0.9183 | 0.813 | [M:[0.8355, 0.8355, 0.8355, 0.8355, 1.0], q:[0.5, 0.6645], qb:[0.6645, 0.5], phi:[0.4177]] | 5*t^2.506 + t^3. + t^3.987 + 3*t^4.253 + 4*t^4.747 + 15*t^5.013 + 3*t^5.24 + t^5.506 - 7*t^6. - t^4.253/y - t^4.253*y | detail |