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 |
|---|---|---|---|---|---|---|---|---|---|
| 1182 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ | 0.685 | 0.8478 | 0.808 | [M:[1.0524, 1.1054, 0.9735, 0.7369, 0.9476, 0.8158], q:[0.7763, 0.4079], qb:[0.5398, 0.4867], phi:[0.4473]] | [M:[[32], [-12], [22], [-8], [-32], [2]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$ | ${}$ | -1 | t^2.211 + t^2.447 + t^2.684 + t^2.843 + t^2.92 + t^3.316 + t^3.789 + t^3.948 + t^4.026 + t^4.185 + t^4.262 + 2*t^4.421 + t^4.581 + t^4.658 + 2*t^4.895 + t^5.054 + 2*t^5.131 + t^5.29 + 2*t^5.368 + 2*t^5.527 + t^5.686 + t^5.763 - t^6. + t^6.159 + t^6.237 + t^6.396 + 2*t^6.473 + 4*t^6.632 + 2*t^6.71 + 2*t^6.791 + 3*t^6.869 + t^6.946 + 2*t^7.028 + 2*t^7.105 + 3*t^7.264 + 2*t^7.342 + t^7.423 + t^7.501 + 2*t^7.579 + 2*t^7.738 + 2*t^7.815 + 2*t^7.897 + 2*t^7.974 + 2*t^8.052 + t^8.133 + t^8.211 + t^8.288 + 3*t^8.37 - 2*t^8.447 + 2*t^8.529 + t^8.606 + t^8.761 + t^8.765 + 2*t^8.843 - t^8.92 - t^4.342/y - t^6.553/y - t^6.789/y - t^7.262/y + t^7.421/y + t^7.658/y + (2*t^7.895)/y + t^8.054/y + (3*t^8.131)/y + t^8.29/y + t^8.368/y + (2*t^8.527)/y + t^8.604/y + t^8.763/y - t^4.342*y - t^6.553*y - t^6.789*y - t^7.262*y + t^7.421*y + t^7.658*y + 2*t^7.895*y + t^8.054*y + 3*t^8.131*y + t^8.29*y + t^8.368*y + 2*t^8.527*y + t^8.604*y + t^8.763*y | t^2.211/g1^8 + g1^2*t^2.447 + g1^12*t^2.684 + t^2.843/g1^32 + g1^22*t^2.92 + t^3.316/g1^12 + g1^8*t^3.789 + t^3.948/g1^36 + g1^18*t^4.026 + t^4.185/g1^26 + g1^28*t^4.262 + (2*t^4.421)/g1^16 + t^4.581/g1^60 + t^4.658/g1^6 + 2*g1^4*t^4.895 + t^5.054/g1^40 + 2*g1^14*t^5.131 + t^5.29/g1^30 + 2*g1^24*t^5.368 + (2*t^5.527)/g1^20 + t^5.686/g1^64 + t^5.763/g1^10 - t^6. + t^6.159/g1^44 + g1^10*t^6.237 + t^6.396/g1^34 + 2*g1^20*t^6.473 + (4*t^6.632)/g1^24 + 2*g1^30*t^6.71 + (2*t^6.791)/g1^68 + (3*t^6.869)/g1^14 + g1^40*t^6.946 + (2*t^7.028)/g1^58 + (2*t^7.105)/g1^4 + (3*t^7.264)/g1^48 + 2*g1^6*t^7.342 + t^7.423/g1^92 + t^7.501/g1^38 + 2*g1^16*t^7.579 + (2*t^7.738)/g1^28 + 2*g1^26*t^7.815 + (2*t^7.897)/g1^72 + (2*t^7.974)/g1^18 + 2*g1^36*t^8.052 + t^8.133/g1^62 + t^8.211/g1^8 + g1^46*t^8.288 + (3*t^8.37)/g1^52 - 2*g1^2*t^8.447 + (2*t^8.529)/g1^96 + t^8.606/g1^42 + g1^66*t^8.761 + t^8.765/g1^86 + (2*t^8.843)/g1^32 - g1^22*t^8.92 - (g1^6*t^4.342)/y - t^6.553/(g1^2*y) - (g1^8*t^6.789)/y - (g1^28*t^7.262)/y + t^7.421/(g1^16*y) + t^7.658/(g1^6*y) + (2*g1^4*t^7.895)/y + t^8.054/(g1^40*y) + (3*g1^14*t^8.131)/y + t^8.29/(g1^30*y) + (g1^24*t^8.368)/y + (2*t^8.527)/(g1^20*y) + (g1^34*t^8.604)/y + t^8.763/(g1^10*y) - g1^6*t^4.342*y - (t^6.553*y)/g1^2 - g1^8*t^6.789*y - g1^28*t^7.262*y + (t^7.421*y)/g1^16 + (t^7.658*y)/g1^6 + 2*g1^4*t^7.895*y + (t^8.054*y)/g1^40 + 3*g1^14*t^8.131*y + (t^8.29*y)/g1^30 + g1^24*t^8.368*y + (2*t^8.527*y)/g1^20 + g1^34*t^8.604*y + (t^8.763*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2230 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{2}M_{7}$ | 0.6948 | 0.8638 | 0.8044 | [M:[1.0364, 1.1113, 0.9626, 0.7409, 0.9636, 0.8148, 0.8887], q:[0.7778, 0.4074], qb:[0.5562, 0.4813], phi:[0.4443]] | t^2.223 + t^2.444 + 2*t^2.666 + t^2.888 + t^2.891 + t^3.777 + t^3.999 + t^4.002 + t^4.221 + t^4.224 + 2*t^4.445 + t^4.667 + t^4.67 + 3*t^4.889 + 3*t^5.11 + t^5.113 + 4*t^5.332 + t^5.335 + t^5.554 + 2*t^5.557 + t^5.781 - 2*t^6. - t^4.333/y - t^4.333*y | detail | |
| 2237 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{4}M_{7}$ | 0.6655 | 0.8117 | 0.8199 | [M:[1.0478, 1.1071, 0.9704, 0.738, 0.9522, 0.8155, 1.262], q:[0.7768, 0.4077], qb:[0.5444, 0.4852], phi:[0.4465]] | t^2.446 + t^2.679 + t^2.857 + t^2.911 + t^3.321 + 2*t^3.786 + t^3.964 + t^4.018 + t^4.196 + t^4.251 + t^4.428 + t^4.606 + t^4.893 + t^5.125 + t^5.303 + 2*t^5.358 + t^5.535 + t^5.713 + t^5.768 - 2*t^6. - t^4.339/y - t^4.339*y | detail | |
| 2231 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.7058 | 0.8884 | 0.7944 | [M:[1.0484, 1.1069, 0.9707, 0.7379, 0.9516, 0.8155, 0.6794], q:[0.7767, 0.4078], qb:[0.5439, 0.4854], phi:[0.4466]] | t^2.038 + t^2.214 + t^2.447 + t^2.679 + t^2.855 + t^2.912 + t^3.321 + t^3.786 + t^4.019 + t^4.076 + t^4.195 + 2*t^4.252 + 2*t^4.427 + t^4.485 + t^4.603 + t^4.66 + t^4.718 + 3*t^4.893 + t^4.95 + t^5.069 + 2*t^5.126 + t^5.301 + 3*t^5.359 + 2*t^5.534 + t^5.71 + t^5.767 + t^5.824 - t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 719 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ | 0.6695 | 0.8209 | 0.8156 | [M:[1.0544, 1.1046, 0.9749, 0.7364, 0.9456], q:[0.7762, 0.4079], qb:[0.5377, 0.4874], phi:[0.4477]] | t^2.209 + t^2.686 + t^2.837 + t^2.925 + t^3.314 + t^3.552 + t^3.791 + t^3.941 + t^4.029 + t^4.18 + t^4.268 + 2*t^4.418 + t^4.569 + t^4.895 + t^5.046 + t^5.134 + t^5.372 + 2*t^5.523 + t^5.674 + t^5.762 - t^6. - t^4.343/y - t^4.343*y | detail |