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 |
|---|---|---|---|---|---|---|---|---|---|
| 46763 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ | 0.6068 | 0.7776 | 0.7804 | [M:[0.7318, 0.7075, 1.0, 1.2682], q:[0.7561, 0.5122], qb:[0.5365, 0.2439], phi:[0.4878]] | [M:[[3], [7], [0], [-3]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | -2 | t^2.122 + t^2.268 + t^2.341 + 2*t^2.927 + t^3. + t^3.146 + t^3.732 + 2*t^3.805 + t^4.245 + t^4.391 + t^4.464 + 2*t^4.536 + 2*t^4.609 + 2*t^4.682 + 2*t^5.049 + t^5.195 + 4*t^5.268 + t^5.341 + t^5.414 + t^5.487 + 4*t^5.854 + 2*t^5.927 - 2*t^6. + 3*t^6.073 + 2*t^6.146 + t^6.292 + t^6.367 + t^6.513 + 2*t^6.659 + 4*t^6.732 + 2*t^6.805 + t^6.878 + 4*t^6.951 + 2*t^7.023 + 2*t^7.172 + t^7.318 + 2*t^7.391 + t^7.464 + 3*t^7.536 + 6*t^7.609 + 2*t^7.682 + t^7.755 + 2*t^7.828 + 4*t^7.977 - 2*t^8.122 + 5*t^8.195 - t^8.268 - t^8.341 + 4*t^8.414 + 3*t^8.487 + t^8.49 + t^8.56 + t^8.633 + t^8.635 + 7*t^8.781 + 3*t^8.854 - 6*t^8.927 - t^4.464/y - t^6.586/y + t^7.464/y + t^7.536/y + t^7.609/y + (2*t^8.049)/y + t^8.122/y + (2*t^8.195)/y + (4*t^8.268)/y + (2*t^8.341)/y + t^8.414/y + t^8.487/y - t^8.708/y + (2*t^8.854)/y + (4*t^8.927)/y - t^4.464*y - t^6.586*y + t^7.464*y + t^7.536*y + t^7.609*y + 2*t^8.049*y + t^8.122*y + 2*t^8.195*y + 4*t^8.268*y + 2*t^8.341*y + t^8.414*y + t^8.487*y - t^8.708*y + 2*t^8.854*y + 4*t^8.927*y | g1^7*t^2.122 + t^2.268/g1 + t^2.341/g1^5 + 2*g1^4*t^2.927 + t^3. + t^3.146/g1^8 + g1*t^3.732 + (2*t^3.805)/g1^3 + g1^14*t^4.245 + g1^6*t^4.391 + g1^2*t^4.464 + (2*t^4.536)/g1^2 + (2*t^4.609)/g1^6 + (2*t^4.682)/g1^10 + 2*g1^11*t^5.049 + g1^3*t^5.195 + (4*t^5.268)/g1 + t^5.341/g1^5 + t^5.414/g1^9 + t^5.487/g1^13 + 4*g1^8*t^5.854 + 2*g1^4*t^5.927 - 2*t^6. + (3*t^6.073)/g1^4 + (2*t^6.146)/g1^8 + t^6.292/g1^16 + g1^21*t^6.367 + g1^13*t^6.513 + 2*g1^5*t^6.659 + 4*g1*t^6.732 + (2*t^6.805)/g1^3 + t^6.878/g1^7 + (4*t^6.951)/g1^11 + (2*t^7.023)/g1^15 + 2*g1^18*t^7.172 + g1^10*t^7.318 + 2*g1^6*t^7.391 + g1^2*t^7.464 + (3*t^7.536)/g1^2 + (6*t^7.609)/g1^6 + (2*t^7.682)/g1^10 + t^7.755/g1^14 + (2*t^7.828)/g1^18 + 4*g1^15*t^7.977 - 2*g1^7*t^8.122 + 5*g1^3*t^8.195 - t^8.268/g1 - t^8.341/g1^5 + (4*t^8.414)/g1^9 + (3*t^8.487)/g1^13 + g1^28*t^8.49 + t^8.56/g1^17 + t^8.633/g1^21 + g1^20*t^8.635 + 7*g1^12*t^8.781 + 3*g1^8*t^8.854 - 6*g1^4*t^8.927 - (g1^2*t^4.464)/y - (g1^9*t^6.586)/y + (g1^2*t^7.464)/y + t^7.536/(g1^2*y) + t^7.609/(g1^6*y) + (2*g1^11*t^8.049)/y + (g1^7*t^8.122)/y + (2*g1^3*t^8.195)/y + (4*t^8.268)/(g1*y) + (2*t^8.341)/(g1^5*y) + t^8.414/(g1^9*y) + t^8.487/(g1^13*y) - (g1^16*t^8.708)/y + (2*g1^8*t^8.854)/y + (4*g1^4*t^8.927)/y - g1^2*t^4.464*y - g1^9*t^6.586*y + g1^2*t^7.464*y + (t^7.536*y)/g1^2 + (t^7.609*y)/g1^6 + 2*g1^11*t^8.049*y + g1^7*t^8.122*y + 2*g1^3*t^8.195*y + (4*t^8.268*y)/g1 + (2*t^8.341*y)/g1^5 + (t^8.414*y)/g1^9 + (t^8.487*y)/g1^13 - g1^16*t^8.708*y + 2*g1^8*t^8.854*y + 4*g1^4*t^8.927*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 |
|---|---|---|---|---|---|---|---|---|
| 46813 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6256 | 0.8117 | 0.7708 | [M:[0.7331, 0.7105, 1.0, 1.2669, 0.7556], q:[0.7556, 0.5113], qb:[0.5339, 0.2444], phi:[0.4887]] | t^2.131 + 2*t^2.267 + t^2.335 + 2*t^2.932 + t^3. + t^3.136 + 2*t^3.801 + t^4.263 + 2*t^4.398 + t^4.466 + 4*t^4.534 + 3*t^4.602 + 2*t^4.669 + 2*t^5.064 + 3*t^5.199 + 5*t^5.267 + t^5.335 + 2*t^5.402 + t^5.47 + 3*t^5.864 + 2*t^5.932 - 3*t^6. - t^4.466/y - t^4.466*y | detail | |
| 47246 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6053 | 0.7761 | 0.7799 | [M:[0.7429, 0.7334, 1.0, 1.2571, 1.0095], q:[0.7524, 0.5047], qb:[0.5142, 0.2476], phi:[0.4953]] | t^2.2 + t^2.257 + t^2.286 + t^2.972 + t^3. + t^3.028 + t^3.057 + t^3.743 + 2*t^3.771 + t^4.4 + t^4.457 + t^4.486 + 2*t^4.514 + 2*t^4.543 + 2*t^4.571 + t^5.172 + t^5.229 + 3*t^5.257 + 2*t^5.286 + 2*t^5.314 + t^5.342 + 2*t^5.943 + t^5.972 - t^6. - t^4.486/y - t^4.486*y | detail | |
| 47234 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ | 0.5781 | 0.7223 | 0.8003 | [X:[1.3846], M:[0.6923, 0.6154, 1.0, 1.3077], q:[0.7692, 0.5385], qb:[0.6154, 0.2308], phi:[0.4615]] | t^2.308 + t^2.538 + 2*t^2.769 + t^3. + t^3.462 + t^3.692 + 2*t^3.923 + t^4.154 + 2*t^4.615 + t^4.846 + 3*t^5.077 + 3*t^5.308 + 4*t^5.538 + t^5.769 - t^6. - t^4.385/y - t^4.385*y | detail | {a: 10161/17576, c: 1587/2197, X1: 18/13, M1: 9/13, M2: 8/13, M3: 1, M4: 17/13, q1: 10/13, q2: 7/13, qb1: 8/13, qb2: 3/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46277 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6266 | 0.8141 | 0.7697 | [M:[0.7289, 0.7009, 1.0], q:[0.757, 0.514], qb:[0.5421, 0.243], phi:[0.486]] | t^2.103 + t^2.187 + t^2.271 + t^2.355 + 2*t^2.916 + t^3. + t^3.169 + t^3.729 + t^3.813 + t^4.205 + t^4.289 + 2*t^4.374 + 2*t^4.458 + 3*t^4.542 + 2*t^4.626 + 2*t^4.711 + 2*t^5.018 + 2*t^5.103 + 2*t^5.187 + 4*t^5.271 + 2*t^5.355 + t^5.44 + t^5.524 + 4*t^5.831 + 2*t^5.916 - t^6. - t^4.458/y - t^4.458*y | detail |