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 |
|---|---|---|---|---|---|---|---|---|---|
| 266 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6704 | 0.8232 | 0.8144 | [M:[0.9756, 1.1208, 0.9809, 0.6759], q:[0.7802, 0.4423], qb:[0.5821, 0.437], phi:[0.4396]] | [M:[[-7, 1], [4, 0], [-11, -1], [10, 2]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.028 + t^2.638 + t^2.927 + t^2.943 + t^3.362 + t^3.651 + t^3.667 + t^3.941 + t^3.957 + t^4.055 + t^4.087 + t^4.376 + t^4.392 + t^4.665 + t^4.811 + t^4.954 + t^4.97 + t^5.275 + t^5.39 + t^5.679 + t^5.695 + t^5.854 + t^5.87 + t^5.886 + t^5.968 - 2*t^6. - t^6.016 + t^6.083 + t^6.114 + t^6.289 + t^6.305 + t^6.404 - t^6.435 + 2*t^6.578 + 2*t^6.594 + t^6.61 + t^6.693 + t^6.839 + t^6.868 + t^6.883 + t^6.982 + t^6.998 + t^7.014 + t^7.03 + 2*t^7.303 + t^7.319 + t^7.417 + t^7.449 + t^7.592 + t^7.608 + t^7.707 + t^7.723 + t^7.738 + t^7.754 + 2*t^7.881 + 2*t^7.897 + 2*t^7.913 + t^7.996 - t^8.028 + t^8.11 + t^8.142 + t^8.174 + 2*t^8.317 + t^8.333 - t^8.349 + t^8.431 + t^8.479 + 2*t^8.606 + t^8.622 - t^8.638 - t^8.654 + t^8.72 + t^8.752 + t^8.781 + t^8.797 + t^8.812 + t^8.828 + t^8.867 + t^8.895 + t^8.898 - 3*t^8.927 - 3*t^8.943 - t^8.959 - t^4.319/y - t^6.346/y - t^7.246/y - t^7.262/y + t^7.376/y + t^7.392/y + t^7.665/y + t^7.954/y + t^7.97/y + t^8.291/y - t^8.374/y + t^8.39/y + t^8.565/y + t^8.58/y + t^8.679/y + t^8.695/y + t^8.87/y + t^8.968/y + t^8.984/y - t^4.319*y - t^6.346*y - t^7.246*y - t^7.262*y + t^7.376*y + t^7.392*y + t^7.665*y + t^7.954*y + t^7.97*y + t^8.291*y - t^8.374*y + t^8.39*y + t^8.565*y + t^8.58*y + t^8.679*y + t^8.695*y + t^8.87*y + t^8.968*y + t^8.984*y | g1^10*g2^2*t^2.028 + t^2.638/g1^4 + (g2*t^2.927)/g1^7 + t^2.943/(g1^11*g2) + g1^4*t^3.362 + g1*g2*t^3.651 + t^3.667/(g1^3*g2) + (g2^2*t^3.941)/g1^2 + t^3.957/g1^6 + g1^20*g2^4*t^4.055 + g1^12*t^4.087 + g1^9*g2*t^4.376 + (g1^5*t^4.392)/g2 + g1^6*g2^2*t^4.665 + g1^20*t^4.811 + g1^3*g2^3*t^4.954 + (g2*t^4.97)/g1 + t^5.275/g1^8 + g1^14*g2^2*t^5.39 + g1^11*g2^3*t^5.679 + g1^7*g2*t^5.695 + (g2^2*t^5.854)/g1^14 + t^5.87/g1^18 + t^5.886/(g1^22*g2^2) + g1^8*g2^4*t^5.968 - 2*t^6. - t^6.016/(g1^4*g2^2) + g1^30*g2^6*t^6.083 + g1^22*g2^2*t^6.114 + (g2*t^6.289)/g1^3 + t^6.305/(g1^7*g2) + g1^19*g2^3*t^6.404 - (g1^11*t^6.435)/g2 + (2*g2^2*t^6.578)/g1^6 + (2*t^6.594)/g1^10 + t^6.61/(g1^14*g2^2) + g1^16*g2^4*t^6.693 + g1^30*g2^2*t^6.839 + (g2^3*t^6.868)/g1^9 + (g2*t^6.883)/g1^13 + g1^13*g2^5*t^6.982 + g1^9*g2^3*t^6.998 + g1^5*g2*t^7.014 + (g1*t^7.03)/g2 + 2*g1^2*g2^2*t^7.303 + t^7.319/g1^2 + g1^24*g2^4*t^7.417 + g1^16*t^7.449 + (g2^3*t^7.592)/g1 + (g2*t^7.608)/g1^5 + g1^21*g2^5*t^7.707 + g1^17*g2^3*t^7.723 + g1^13*g2*t^7.738 + (g1^9*t^7.754)/g2 + (2*g2^4*t^7.881)/g1^4 + (2*g2^2*t^7.897)/g1^8 + (2*t^7.913)/g1^12 + g1^18*g2^6*t^7.996 - g1^10*g2^2*t^8.028 + g1^40*g2^8*t^8.11 + g1^32*g2^4*t^8.142 + g1^24*t^8.174 + 2*g1^7*g2^3*t^8.317 + g1^3*g2*t^8.333 - t^8.349/(g1*g2) + g1^29*g2^5*t^8.431 + (g1^17*t^8.479)/g2 + 2*g1^4*g2^4*t^8.606 + g2^2*t^8.622 - t^8.638/g1^4 - t^8.654/(g1^8*g2^2) + g1^26*g2^6*t^8.72 + g1^18*g2^2*t^8.752 + (g2^3*t^8.781)/g1^21 + (g2*t^8.797)/g1^25 + t^8.812/(g1^29*g2) + t^8.828/(g1^33*g2^3) + g1^40*g2^4*t^8.867 + g1*g2^5*t^8.895 + g1^32*t^8.898 - (3*g2*t^8.927)/g1^7 - (3*t^8.943)/(g1^11*g2) - t^8.959/(g1^15*g2^3) - t^4.319/(g1^2*y) - (g1^8*g2^2*t^6.346)/y - (g2*t^7.246)/(g1^9*y) - t^7.262/(g1^13*g2*y) + (g1^9*g2*t^7.376)/y + (g1^5*t^7.392)/(g2*y) + (g1^6*g2^2*t^7.665)/y + (g1^3*g2^3*t^7.954)/y + (g2*t^7.97)/(g1*y) + t^8.291/(g1^12*g2^2*y) - (g1^18*g2^4*t^8.374)/y + (g1^14*g2^2*t^8.39)/y + (g2*t^8.565)/(g1^11*y) + t^8.58/(g1^15*g2*y) + (g1^11*g2^3*t^8.679)/y + (g1^7*g2*t^8.695)/y + t^8.87/(g1^18*y) + (g1^8*g2^4*t^8.968)/y + (g1^4*g2^2*t^8.984)/y - (t^4.319*y)/g1^2 - g1^8*g2^2*t^6.346*y - (g2*t^7.246*y)/g1^9 - (t^7.262*y)/(g1^13*g2) + g1^9*g2*t^7.376*y + (g1^5*t^7.392*y)/g2 + g1^6*g2^2*t^7.665*y + g1^3*g2^3*t^7.954*y + (g2*t^7.97*y)/g1 + (t^8.291*y)/(g1^12*g2^2) - g1^18*g2^4*t^8.374*y + g1^14*g2^2*t^8.39*y + (g2*t^8.565*y)/g1^11 + (t^8.58*y)/(g1^15*g2) + g1^11*g2^3*t^8.679*y + g1^7*g2*t^8.695*y + (t^8.87*y)/g1^18 + g1^8*g2^4*t^8.968*y + g1^4*g2^2*t^8.984*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 |
|---|---|---|---|---|---|---|---|---|
| 427 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ | 0.6373 | 0.7771 | 0.8201 | [M:[1.1394, 1.097, 0.9242, 0.8606], q:[0.7742, 0.3439], qb:[0.5167, 0.5591], phi:[0.4515]] | t^2.582 + t^2.709 + t^2.773 + t^3.291 + t^3.355 + t^3.418 + t^3.873 + t^3.936 + t^4. + t^4.064 + t^4.455 + t^4.582 + t^4.709 + t^5.164 + t^5.291 + t^5.418 + t^5.545 + t^5.936 - t^6. - t^4.355/y - t^4.355*y | detail | |
| 429 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6704 | 0.8228 | 0.8147 | [M:[0.979, 1.1205, 0.979, 0.6807], q:[0.7801, 0.4398], qb:[0.5813, 0.4398], phi:[0.4398]] | t^2.042 + t^2.639 + 2*t^2.937 + t^3.361 + 2*t^3.66 + 2*t^3.958 + 2*t^4.084 + 2*t^4.382 + t^4.681 + t^4.807 + 2*t^4.979 + t^5.277 + t^5.403 + 2*t^5.702 + 3*t^5.874 - 2*t^6. - t^4.319/y - t^4.319*y | detail | |
| 430 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6667 | 0.8151 | 0.8179 | [M:[1.0055, 1.1229, 0.9413, 0.7486], q:[0.7807, 0.4064], qb:[0.588, 0.4707], phi:[0.4385]] | t^2.246 + t^2.631 + t^2.824 + t^3.017 + t^3.369 + t^3.561 + t^3.754 + t^3.947 + t^4.106 + t^4.14 + t^4.299 + 2*t^4.492 + t^4.844 + t^4.877 + t^5.07 + 2*t^5.262 + t^5.615 + t^5.648 + t^5.841 - t^6. - t^4.316/y - t^4.316*y | detail | |
| 428 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6911 | 0.8637 | 0.8002 | [M:[0.9807, 1.1197, 0.9807, 0.6795, 0.6795], q:[0.7799, 0.4402], qb:[0.5791, 0.4402], phi:[0.4402]] | 2*t^2.039 + t^2.641 + 2*t^2.942 + t^3.359 + 2*t^3.66 + t^3.961 + 4*t^4.077 + 2*t^4.378 + 2*t^4.68 + t^4.795 + 4*t^4.981 + t^5.282 + 2*t^5.398 + 4*t^5.699 + 3*t^5.884 - 2*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 169 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6496 | 0.7822 | 0.8305 | [M:[0.9769, 1.1214, 0.9769], q:[0.7803, 0.4393], qb:[0.5838, 0.4393], phi:[0.4393]] | t^2.636 + 2*t^2.931 + t^3.364 + 2*t^3.659 + 3*t^3.954 + t^4.092 + 2*t^4.387 + t^4.821 + t^5.272 + 3*t^5.861 - 4*t^6. - t^4.318/y - t^4.318*y | detail |