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 |
|---|---|---|---|---|---|---|---|---|---|
| 2095 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.5831 | 0.734 | 0.7944 | [X:[1.5732], M:[0.4268, 1.2803, 0.7197, 0.9873, 1.0127, 0.7197], q:[0.9331, 0.6401], qb:[0.3472, 0.3725], phi:[0.4268]] | [X:[[2]], M:[[-2], [-6], [6], [-14], [14], [6]], q:[[5], [-3]], qb:[[-11], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | 2*t^2.159 + t^2.561 + t^2.962 + t^3.038 + t^3.363 + t^3.439 + t^3.516 + t^3.917 + 3*t^4.318 + 3*t^4.72 + 3*t^5.121 + 2*t^5.197 + 2*t^5.523 + 2*t^5.599 + 2*t^5.675 + t^5.924 - t^6. + 3*t^6.076 + t^6.325 + 5*t^6.477 + t^6.554 + t^6.727 - t^6.803 + 4*t^6.879 + t^6.955 + t^7.031 - t^7.204 + 4*t^7.28 + 2*t^7.356 + t^7.432 + 3*t^7.682 + 2*t^7.758 + 4*t^7.834 + 2*t^8.083 - 3*t^8.159 + 5*t^8.235 + 2*t^8.484 - 3*t^8.561 + 7*t^8.637 + 2*t^8.713 + 2*t^8.886 - 5*t^8.962 - t^4.28/y - t^6.439/y - t^6.841/y + t^7.318/y + (3*t^7.72)/y + (3*t^8.121)/y + (2*t^8.197)/y + (3*t^8.523)/y + (2*t^8.599)/y + (2*t^8.675)/y + t^8.924/y - t^4.28*y - t^6.439*y - t^6.841*y + t^7.318*y + 3*t^7.72*y + 3*t^8.121*y + 2*t^8.197*y + 3*t^8.523*y + 2*t^8.599*y + 2*t^8.675*y + t^8.924*y | 2*g1^6*t^2.159 + t^2.561/g1^4 + t^2.962/g1^14 + g1^14*t^3.038 + t^3.363/g1^24 + g1^4*t^3.439 + g1^32*t^3.516 + g1^22*t^3.917 + 3*g1^12*t^4.318 + 3*g1^2*t^4.72 + (3*t^5.121)/g1^8 + 2*g1^20*t^5.197 + (2*t^5.523)/g1^18 + 2*g1^10*t^5.599 + 2*g1^38*t^5.675 + t^5.924/g1^28 - t^6. + 3*g1^28*t^6.076 + t^6.325/g1^38 + 5*g1^18*t^6.477 + g1^46*t^6.554 + t^6.727/g1^48 - t^6.803/g1^20 + 4*g1^8*t^6.879 + g1^36*t^6.955 + g1^64*t^7.031 - t^7.204/g1^30 + (4*t^7.28)/g1^2 + 2*g1^26*t^7.356 + g1^54*t^7.432 + (3*t^7.682)/g1^12 + 2*g1^16*t^7.758 + 4*g1^44*t^7.834 + (2*t^8.083)/g1^22 - 3*g1^6*t^8.159 + 5*g1^34*t^8.235 + (2*t^8.484)/g1^32 - (3*t^8.561)/g1^4 + 7*g1^24*t^8.637 + 2*g1^52*t^8.713 + (2*t^8.886)/g1^42 - (5*t^8.962)/g1^14 - t^4.28/(g1^2*y) - (g1^4*t^6.439)/y - t^6.841/(g1^6*y) + (g1^12*t^7.318)/y + (3*g1^2*t^7.72)/y + (3*t^8.121)/(g1^8*y) + (2*g1^20*t^8.197)/y + (3*t^8.523)/(g1^18*y) + (2*g1^10*t^8.599)/y + (2*g1^38*t^8.675)/y + t^8.924/(g1^28*y) - (t^4.28*y)/g1^2 - g1^4*t^6.439*y - (t^6.841*y)/g1^6 + g1^12*t^7.318*y + 3*g1^2*t^7.72*y + (3*t^8.121*y)/g1^8 + 2*g1^20*t^8.197*y + (3*t^8.523*y)/g1^18 + 2*g1^10*t^8.599*y + 2*g1^38*t^8.675*y + (t^8.924*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3161 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}M_{7}$ | 0.5828 | 0.7356 | 0.7924 | [X:[1.5704], M:[0.4296, 1.2887, 0.7113, 1.007, 0.993, 0.7113, 0.993], q:[0.9261, 0.6444], qb:[0.3627, 0.3486], phi:[0.4296]] | 2*t^2.134 + t^2.577 + 2*t^2.979 + t^3.38 + t^3.423 + t^3.465 + t^3.824 + 3*t^4.268 + 3*t^4.711 + 4*t^5.113 + t^5.155 + 2*t^5.514 + 3*t^5.556 + t^5.598 + 5*t^5.958 - 2*t^6. - t^4.289/y - t^4.289*y | detail | |
| 3163 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.596 | 0.7558 | 0.7886 | [X:[1.5739], M:[0.4261, 1.2783, 0.7217, 0.9827, 1.0173, 0.7217, 0.8522], q:[0.9347, 0.6392], qb:[0.3436, 0.3781], phi:[0.4261]] | 2*t^2.165 + 2*t^2.557 + t^2.948 + t^3.052 + t^3.34 + t^3.547 + t^3.938 + 3*t^4.33 + 5*t^4.722 + 5*t^5.113 + 2*t^5.217 + 3*t^5.505 + t^5.608 + 2*t^5.712 + 2*t^5.896 - 2*t^6. - t^4.278/y - t^4.278*y | detail | |
| 3162 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5958 | 0.7587 | 0.7852 | [X:[1.5696], M:[0.4304, 1.2912, 0.7088, 1.0128, 0.9872, 0.7088, 0.8353], q:[0.924, 0.6456], qb:[0.3672, 0.3416], phi:[0.4304]] | 2*t^2.126 + t^2.506 + t^2.582 + t^2.962 + t^3.038 + t^3.341 + t^3.418 + t^3.797 + 3*t^4.253 + 2*t^4.632 + 3*t^4.709 + t^5.012 + 3*t^5.088 + 3*t^5.165 + 3*t^5.467 + 3*t^5.544 + t^5.847 + 4*t^5.923 - t^6. - t^4.291/y - t^4.291*y | detail | |
| 3164 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.5997 | 0.7631 | 0.7859 | [X:[1.5767], M:[0.4233, 1.2698, 0.7302, 0.9628, 1.0372, 0.7302, 0.7721], q:[0.9419, 0.6349], qb:[0.3279, 0.4023], phi:[0.4233]] | 2*t^2.191 + t^2.316 + t^2.54 + t^2.888 + t^3.112 + t^3.237 + t^3.46 + t^4.032 + 3*t^4.381 + 2*t^4.507 + t^4.633 + 3*t^4.73 + t^4.856 + 3*t^5.079 + t^5.205 + 2*t^5.302 + 3*t^5.428 + t^5.554 + 2*t^5.651 + 2*t^5.777 - t^6. - t^4.27/y - t^4.27*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 |
|---|---|---|---|---|---|---|---|---|---|
| 942 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ | 0.7087 | 0.8731 | 0.8117 | [M:[0.841, 1.076, 0.924, 0.9929, 1.0071, 0.924], q:[0.6211, 0.538], qb:[0.4549, 0.4692], phi:[0.4792]] | t^2.523 + 2*t^2.772 + t^2.875 + t^2.979 + t^3.021 + t^3.271 + t^4.167 + t^4.21 + t^4.253 + t^4.416 + t^4.459 + 2*t^4.666 + t^4.708 + t^4.915 + t^5.046 + t^5.164 + 2*t^5.295 + t^5.398 + 3*t^5.544 + 2*t^5.648 + t^5.751 + 2*t^5.794 + t^5.854 + t^5.897 - 3*t^6. - t^4.438/y - t^4.438*y | detail |