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 |
|---|---|---|---|---|---|---|---|---|---|
| 57389 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.4379 | 1.6109 | 0.8926 | [X:[1.404], M:[0.808], q:[0.596, 0.5099], qb:[0.596, 0.5099], phi:[0.298]] | [X:[[0, 4]], M:[[0, 8]], q:[[1, -9], [-2, 20]], qb:[[-1, 1], [2, 0]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | 0 | t^2.424 + t^2.682 + t^3.06 + 2*t^3.318 + t^3.954 + 3*t^4.212 + t^4.47 + 2*t^4.848 + 3*t^5.106 + 2*t^5.364 + t^5.484 + 3*t^5.742 + t^6.119 - 2*t^6.258 + 3*t^6.378 + 7*t^6.636 + 3*t^6.894 + t^7.013 - t^7.152 + 9*t^7.272 + 9*t^7.53 + 4*t^7.788 + 3*t^7.907 + 2*t^8.046 + 7*t^8.166 + 5*t^8.424 + t^8.543 - t^8.682 + 5*t^8.801 - 2*t^8.94 + t^8.682/y^2 - t^3.894/y - t^4.788/y - t^6.318/y - t^6.576/y - t^6.954/y - (3*t^7.212)/y - t^7.47/y - t^7.848/y - t^8.106/y + t^8.484/y + t^8.742/y - t^3.894*y - t^4.788*y - t^6.318*y - t^6.576*y - t^6.954*y - 3*t^7.212*y - t^7.47*y - t^7.848*y - t^8.106*y + t^8.484*y + t^8.742*y + t^8.682*y^2 | g2^8*t^2.424 + t^2.682/g2^6 + g2^20*t^3.06 + (g1^3*t^3.318)/g2^9 + (g2^21*t^3.318)/g1^3 + g2^18*t^3.954 + (g1^3*t^4.212)/g2^11 + g2^4*t^4.212 + (g2^19*t^4.212)/g1^3 + t^4.47/g2^10 + 2*g2^16*t^4.848 + (g1^3*t^5.106)/g2^13 + g2^2*t^5.106 + (g2^17*t^5.106)/g1^3 + (2*t^5.364)/g2^12 + g2^28*t^5.484 + (g1^3*t^5.742)/g2 + g2^14*t^5.742 + (g2^29*t^5.742)/g1^3 - 2*t^6. + (g1^3*t^6.)/g2^15 + (g2^15*t^6.)/g1^3 + g2^40*t^6.119 - (g1^3*t^6.258)/g2^29 - (g2*t^6.258)/g1^3 + g1^3*g2^11*t^6.378 + g2^26*t^6.378 + (g2^41*t^6.378)/g1^3 + (g1^6*t^6.636)/g2^18 + (g1^3*t^6.636)/g2^3 + 3*g2^12*t^6.636 + (g2^27*t^6.636)/g1^3 + (g2^42*t^6.636)/g1^6 + (g1^3*t^6.894)/g2^17 + t^6.894/g2^2 + (g2^13*t^6.894)/g1^3 + g2^38*t^7.013 - (g1^3*t^7.152)/g2^31 + t^7.152/g2^16 - t^7.152/(g1^3*g2) + (g1^6*t^7.272)/g2^6 + 2*g1^3*g2^9*t^7.272 + 3*g2^24*t^7.272 + (2*g2^39*t^7.272)/g1^3 + (g2^54*t^7.272)/g1^6 + (g1^6*t^7.53)/g2^20 + (2*g1^3*t^7.53)/g2^5 + 3*g2^10*t^7.53 + (2*g2^25*t^7.53)/g1^3 + (g2^40*t^7.53)/g1^6 + (g1^3*t^7.788)/g2^19 + (2*t^7.788)/g2^4 + (g2^11*t^7.788)/g1^3 + 3*g2^36*t^7.907 + (2*t^8.046)/g2^18 + 3*g1^3*g2^7*t^8.166 + g2^22*t^8.166 + (3*g2^37*t^8.166)/g1^3 + (g1^6*t^8.424)/g2^22 + (g1^3*t^8.424)/g2^7 + g2^8*t^8.424 + (g2^23*t^8.424)/g1^3 + (g2^38*t^8.424)/g1^6 + g2^48*t^8.543 - t^8.682/g2^6 + g1^3*g2^19*t^8.801 + 3*g2^34*t^8.801 + (g2^49*t^8.801)/g1^3 - (g1^3*t^8.94)/g2^35 - t^8.94/(g1^3*g2^5) + t^8.682/(g2^6*y^2) - t^3.894/(g2^2*y) - t^4.788/(g2^4*y) - (g2^6*t^6.318)/y - t^6.576/(g2^8*y) - (g2^18*t^6.954)/y - (g1^3*t^7.212)/(g2^11*y) - (g2^4*t^7.212)/y - (g2^19*t^7.212)/(g1^3*y) - t^7.47/(g2^10*y) - (g2^16*t^7.848)/y - (g1^3*t^8.106)/(g2^13*y) + (g2^2*t^8.106)/y - (g2^17*t^8.106)/(g1^3*y) + (g2^28*t^8.484)/y + (g1^3*t^8.742)/(g2*y) - (g2^14*t^8.742)/y + (g2^29*t^8.742)/(g1^3*y) - (t^3.894*y)/g2^2 - (t^4.788*y)/g2^4 - g2^6*t^6.318*y - (t^6.576*y)/g2^8 - g2^18*t^6.954*y - (g1^3*t^7.212*y)/g2^11 - g2^4*t^7.212*y - (g2^19*t^7.212*y)/g1^3 - (t^7.47*y)/g2^10 - g2^16*t^7.848*y - (g1^3*t^8.106*y)/g2^13 + g2^2*t^8.106*y - (g2^17*t^8.106*y)/g1^3 + g2^28*t^8.484*y + (g1^3*t^8.742*y)/g2 - g2^14*t^8.742*y + (g2^29*t^8.742*y)/g1^3 + (t^8.682*y^2)/g2^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58505 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.4267 | 1.5875 | 0.8988 | [X:[1.4286], M:[0.8571], q:[0.5714, 0.5714], qb:[0.5714, 0.5714], phi:[0.2857]] | 2*t^2.57 + 3*t^3.43 + 5*t^4.29 + 7*t^5.14 + 2*t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 3915/2744, c: 1089/686, X1: 10/7, M1: 6/7, q1: 4/7, q2: 4/7, qb1: 4/7, qb2: 4/7, phi1: 2/7} |
| 58509 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4285 | 1.5968 | 0.8946 | [X:[1.4006], M:[0.8013, 1.101], q:[0.5994, 0.5016], qb:[0.5994, 0.5016], phi:[0.2997]] | t^2.4 + t^3.01 + 3*t^3.3 + t^3.91 + 3*t^4.2 + t^4.5 + 2*t^4.81 + 2*t^5.1 + t^5.39 + t^5.41 + 3*t^5.71 - 2*t^6. - t^3.9/y - t^4.8/y - t^3.9*y - t^4.8*y | detail | |
| 58511 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.4489 | 1.6291 | 0.8894 | [X:[1.4072], M:[0.8143, 0.8599], q:[0.6026, 0.4983], qb:[0.5831, 0.5375], phi:[0.2964]] | t^2.44 + t^2.58 + t^2.67 + t^3.11 + t^3.24 + t^4. + t^4.13 + t^4.22 + t^4.31 + t^4.45 + 2*t^4.89 + 2*t^5.02 + t^5.11 + t^5.16 + t^5.2 + t^5.25 + 2*t^5.34 + t^5.55 + 2*t^5.69 + t^5.78 + t^5.82 + t^5.91 - 2*t^6. - t^3.89/y - t^4.78/y - t^3.89*y - t^4.78*y | detail | |
| 58503 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 1.0842 | 1.2202 | 0.8885 | [X:[1.478], M:[0.956], q:[0.696, 0.347], qb:[0.348, 1.043], phi:[0.261]] | t^2.09 + t^2.35 + 2*t^2.87 + t^3.65 + 2*t^4.17 + 2*t^4.43 + t^4.7 + 3*t^4.95 + 3*t^5.22 + t^5.47 + 4*t^5.74 - t^6. - t^3.78/y - t^4.57/y - t^5.87/y - t^3.78*y - t^4.57*y - t^5.87*y | detail | |
| 58506 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4327 | 1.6 | 0.8954 | [X:[1.4154], M:[0.8307], q:[0.6001, 0.5075], qb:[0.5692, 0.5692], phi:[0.2923]] | t^2.49 + t^2.63 + 2*t^3.23 + t^3.51 + 2*t^4.11 + t^4.25 + 2*t^4.38 + 3*t^4.98 + t^5.12 + 3*t^5.26 + 2*t^5.72 + 2*t^5.86 - 2*t^6. - t^3.88/y - t^4.75/y - t^3.88*y - t^4.75*y | detail | |
| 58504 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1.3286 | 1.491 | 0.8911 | [X:[1.4251], M:[0.8503], q:[0.6707, 0.3712], qb:[0.4791, 0.7545], phi:[0.2874]] | 2*t^2.55 + t^2.59 + t^3.38 + t^3.41 + t^4.24 + 3*t^4.28 + t^4.31 + 4*t^5.1 + 3*t^5.14 + t^5.17 + 3*t^5.93 + 3*t^5.96 - t^3.86/y - t^4.72/y - t^3.86*y - t^4.72*y | detail | |
| 58502 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.8895 | 0.9395 | 0.9468 | [X:[1.6, 1.4], M:[1.2], q:[0.4, 1.0], qb:[0.4, 1.0], phi:[0.2]] | t^3. + 2*t^3.6 + t^4.2 + t^4.8 + 2*t^5.4 - t^6. - t^3.6/y - t^4.2/y - t^3.6*y - t^4.2*y | detail | {a: 1779/2000, c: 1879/2000, X1: 8/5, X2: 7/5, M1: 6/5, q1: 2/5, q2: 1, qb1: 2/5, qb2: 1, phi1: 1/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47897 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4497 | 1.6322 | 0.8882 | [X:[1.3628], M:[0.9023], q:[0.5128, 0.4792], qb:[0.585, 0.5115], phi:[0.3186]] | t^2.707 + t^2.867 + t^2.972 + t^3.073 + t^3.192 + t^3.928 + t^4.029 + t^4.088 + t^4.148 + t^4.249 + t^4.884 + t^4.984 + t^5.104 + t^5.205 + t^5.369 + t^5.414 + t^5.47 + t^5.574 + t^5.679 + t^5.735 + t^5.779 + t^5.839 + t^5.94 + t^5.944 - 3*t^6. - t^3.956/y - t^4.912/y - t^3.956*y - t^4.912*y | detail |