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 |
|---|---|---|---|---|---|---|---|---|---|
| 47230 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.7182 | 0.8876 | 0.8092 | [M:[0.8798, 0.8198, 1.0, 1.0601, 1.0, 0.8798], q:[0.5901, 0.53], qb:[0.5901, 0.4099], phi:[0.47]] | [M:[[1, 7], [0, 6], [-1, -3], [0, -2], [1, 3], [-1, 1]], q:[[-1, -6], [0, -1]], qb:[[1, 0], [0, 3]], phi:[[0, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{3}^{2}$, ${ }M_{5}^{2}$ | -2 | t^2.459 + 2*t^2.64 + t^2.82 + 2*t^3. + t^3.18 + t^3.869 + t^4.23 + 2*t^4.41 + t^4.59 + 2*t^4.77 + t^4.919 + 3*t^4.951 + 2*t^5.099 + 4*t^5.279 + 2*t^5.459 + 5*t^5.64 + 2*t^5.82 - 2*t^6. + t^6.328 - t^6.36 + 2*t^6.509 - 2*t^6.541 + 2*t^6.689 + 4*t^6.869 + 5*t^7.049 + 4*t^7.23 + t^7.378 + 6*t^7.41 + 2*t^7.558 + 6*t^7.59 + 5*t^7.738 + t^7.77 + 6*t^7.919 + 2*t^7.951 + 5*t^8.099 - t^8.131 + 8*t^8.279 - 2*t^8.311 + t^8.459 - 4*t^8.64 + t^8.788 + 2*t^8.968 - t^4.41/y - t^6.869/y - (2*t^7.049)/y + (2*t^7.77)/y + t^7.951/y + (2*t^8.099)/y + (2*t^8.279)/y + (4*t^8.459)/y + (5*t^8.64)/y + (4*t^8.82)/y - t^4.41*y - t^6.869*y - 2*t^7.049*y + 2*t^7.77*y + t^7.951*y + 2*t^8.099*y + 2*t^8.279*y + 4*t^8.459*y + 5*t^8.64*y + 4*t^8.82*y | g2^6*t^2.459 + (g2*t^2.64)/g1 + g1*g2^7*t^2.64 + g2^2*t^2.82 + t^3./(g1*g2^3) + g1*g2^3*t^3. + t^3.18/g2^2 + g2^7*t^3.869 + g2^3*t^4.23 + t^4.41/(g1*g2^2) + g1*g2^4*t^4.41 + t^4.59/g2 + g1*t^4.77 + t^4.77/(g1*g2^6) + g2^12*t^4.919 + t^4.951/(g1^2*g2^11) + t^4.951/g2^5 + g1^2*g2*t^4.951 + (g2^7*t^5.099)/g1 + g1*g2^13*t^5.099 + (g2^2*t^5.279)/g1^2 + 2*g2^8*t^5.279 + g1^2*g2^14*t^5.279 + (g2^3*t^5.459)/g1 + g1*g2^9*t^5.459 + t^5.64/(g1^2*g2^2) + 3*g2^4*t^5.64 + g1^2*g2^10*t^5.64 + t^5.82/(g1*g2) + g1*g2^5*t^5.82 - 2*t^6. + g2^13*t^6.328 - t^6.36/g2^4 + (g2^8*t^6.509)/g1 + g1*g2^14*t^6.509 - t^6.541/(g1*g2^9) - (g1*t^6.541)/g2^3 + 2*g2^9*t^6.689 + (2*g2^4*t^6.869)/g1 + 2*g1*g2^10*t^6.869 + t^7.049/(g1^2*g2) + 3*g2^5*t^7.049 + g1^2*g2^11*t^7.049 + (2*t^7.23)/g1 + 2*g1*g2^6*t^7.23 + g2^18*t^7.378 + (2*t^7.41)/(g1^2*g2^5) + 2*g2*t^7.41 + 2*g1^2*g2^7*t^7.41 + (g2^13*t^7.558)/g1 + g1*g2^19*t^7.558 + t^7.59/(g1^3*g2^10) + (2*t^7.59)/(g1*g2^4) + 2*g1*g2^2*t^7.59 + g1^3*g2^8*t^7.59 + (g2^8*t^7.738)/g1^2 + 3*g2^14*t^7.738 + g1^2*g2^20*t^7.738 + t^7.77/(g1^2*g2^9) - t^7.77/g2^3 + g1^2*g2^3*t^7.77 + (g2^3*t^7.919)/g1^3 + (2*g2^9*t^7.919)/g1 + 2*g1*g2^15*t^7.919 + g1^3*g2^21*t^7.919 + t^7.951/(g1^3*g2^14) + g1^3*g2^4*t^7.951 + (g2^4*t^8.099)/g1^2 + 3*g2^10*t^8.099 + g1^2*g2^16*t^8.099 - t^8.131/g2^7 + t^8.279/(g1^3*g2) + (3*g2^5*t^8.279)/g1 + 3*g1*g2^11*t^8.279 + g1^3*g2^17*t^8.279 - t^8.311/(g1*g2^12) - (g1*t^8.311)/g2^6 + t^8.459/g1^2 - g2^6*t^8.459 + g1^2*g2^12*t^8.459 - (2*g2*t^8.64)/g1 - 2*g1*g2^7*t^8.64 + g2^19*t^8.788 + t^8.82/(g1^2*g2^4) - 2*g2^2*t^8.82 + g1^2*g2^8*t^8.82 + (g2^14*t^8.968)/g1 + g1*g2^20*t^8.968 - (g2*t^4.41)/y - (g2^7*t^6.869)/y - (g2^2*t^7.049)/(g1*y) - (g1*g2^8*t^7.049)/y + (g1*t^7.77)/y + t^7.77/(g1*g2^6*y) + t^7.951/(g2^5*y) + (g2^7*t^8.099)/(g1*y) + (g1*g2^13*t^8.099)/y + (2*g2^8*t^8.279)/y + (2*g2^3*t^8.459)/(g1*y) + (2*g1*g2^9*t^8.459)/y + t^8.64/(g1^2*g2^2*y) + (3*g2^4*t^8.64)/y + (g1^2*g2^10*t^8.64)/y + (2*t^8.82)/(g1*g2*y) + (2*g1*g2^5*t^8.82)/y - g2*t^4.41*y - g2^7*t^6.869*y - (g2^2*t^7.049*y)/g1 - g1*g2^8*t^7.049*y + g1*t^7.77*y + (t^7.77*y)/(g1*g2^6) + (t^7.951*y)/g2^5 + (g2^7*t^8.099*y)/g1 + g1*g2^13*t^8.099*y + 2*g2^8*t^8.279*y + (2*g2^3*t^8.459*y)/g1 + 2*g1*g2^9*t^8.459*y + (t^8.64*y)/(g1^2*g2^2) + 3*g2^4*t^8.64*y + g1^2*g2^10*t^8.64*y + (2*t^8.82*y)/(g1*g2) + 2*g1*g2^5*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 53488 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$ | 0.7134 | 0.8806 | 0.8101 | [M:[0.9499, 0.8496, 0.9499, 1.0501, 1.0501, 0.8496], q:[0.5251, 0.5251], qb:[0.6253, 0.4248], phi:[0.4749]] | 2*t^2.549 + 3*t^2.85 + 2*t^3.15 + t^3.974 + 2*t^4.274 + 4*t^4.575 + 2*t^4.876 + 3*t^5.098 + t^5.177 + 5*t^5.398 + 6*t^5.699 - t^4.425/y - t^4.425*y | detail | |
| 52287 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ | 0.7 | 0.8606 | 0.8133 | [M:[1.0201, 0.9396, 0.9396, 1.0201, 1.0604, 0.8994], q:[0.4698, 0.5101], qb:[0.5906, 0.4698], phi:[0.4899]] | t^2.698 + 2*t^2.819 + t^2.94 + 2*t^3.06 + t^3.181 + 3*t^4.289 + 2*t^4.409 + t^4.53 + 2*t^4.651 + t^4.772 + t^5.013 + t^5.396 + 2*t^5.517 + 2*t^5.638 + 3*t^5.758 + 4*t^5.879 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
| 55427 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}M_{7}$ | 0.7196 | 0.8908 | 0.8078 | [M:[0.909, 0.8195, 0.9707, 1.0602, 1.0293, 0.8503, 0.9707], q:[0.5609, 0.5301], qb:[0.6196, 0.4097], phi:[0.4699]] | t^2.458 + t^2.551 + t^2.727 + t^2.819 + 2*t^2.912 + t^3.181 + t^3.868 + t^4.229 + t^4.322 + t^4.498 + t^4.59 + t^4.683 + t^4.775 + t^4.859 + t^4.917 + t^4.951 + t^5.009 + t^5.102 + t^5.127 + t^5.185 + 2*t^5.278 + 2*t^5.37 + t^5.454 + 2*t^5.463 + 3*t^5.639 + 2*t^5.732 + 2*t^5.824 - 3*t^6. - t^4.41/y - t^4.41*y | detail | |
| 55553 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.7129 | 0.8776 | 0.8123 | [M:[0.8913, 0.837, 1.0, 1.0543, 1.0, 0.8913, 1.0543], q:[0.5815, 0.5272], qb:[0.5815, 0.4185], phi:[0.4728]] | t^2.511 + 2*t^2.674 + 2*t^3. + 2*t^3.163 + t^3.93 + t^4.256 + 2*t^4.419 + t^4.581 + 2*t^4.744 + 3*t^4.907 + t^5.022 + 2*t^5.185 + 3*t^5.348 + 5*t^5.674 + 2*t^5.837 - 3*t^6. - t^4.419/y - t^4.419*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46406 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ | 0.7478 | 0.9314 | 0.8029 | [M:[0.7502, 0.889, 1.0, 0.8612, 1.0, 0.7502], q:[0.5555, 0.6943], qb:[0.5555, 0.4445], phi:[0.4375]] | 2*t^2.251 + t^2.584 + t^2.625 + t^2.667 + 2*t^3. + t^3.98 + 2*t^4.313 + 3*t^4.501 + 3*t^4.646 + t^4.729 + 2*t^4.834 + 2*t^4.876 + 2*t^4.917 + 2*t^5.062 + t^5.167 + t^5.209 + 5*t^5.251 + t^5.292 + t^5.334 + t^5.478 + 2*t^5.625 - 3*t^6. - t^4.313/y - t^4.313*y | detail |