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 |
|---|---|---|---|---|---|---|---|---|---|
| 46007 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5883 | 0.7268 | 0.8095 | [M:[1.0196, 0.9804, 0.7451], q:[0.5882, 0.3922], qb:[0.4314, 1.0196], phi:[0.3922]] | [M:[[1, -3], [-1, 3], [-2, 2]], q:[[0, -3], [-1, 6]], qb:[[1, 0], [0, 5]], phi:[[0, -2]]] | 2 | {a: 8161/13872, c: 5041/6936, M1: 52/51, M2: 50/51, M3: 38/51, q1: 10/17, q2: 20/51, qb1: 22/51, qb2: 52/51, phi1: 20/51} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$ | 0 | t^2.235 + t^2.353 + t^2.471 + t^2.941 + t^3.059 + t^3.529 + t^3.647 + t^4.235 + t^4.353 + t^4.471 + t^4.588 + 2*t^4.706 + 2*t^4.824 + t^4.941 + t^5.176 + t^5.294 + t^5.412 + t^5.529 + t^5.765 + 2*t^5.882 + t^6.118 + t^6.471 + t^6.588 + 2*t^6.706 + 2*t^6.824 + 2*t^6.941 + 3*t^7.059 + 2*t^7.176 + t^7.294 + 2*t^7.412 + t^7.529 + t^7.647 + t^7.765 + t^7.882 + 2*t^8. + 2*t^8.118 - t^8.471 + t^8.588 + 2*t^8.706 + t^8.824 - t^4.176/y - t^6.412/y - t^6.529/y + t^7.588/y + t^7.706/y + (2*t^7.824)/y + t^7.941/y + t^8.176/y + (2*t^8.294)/y + (2*t^8.412)/y + t^8.529/y - t^8.647/y + t^8.882/y - t^4.176*y - t^6.412*y - t^6.529*y + t^7.588*y + t^7.706*y + 2*t^7.824*y + t^7.941*y + t^8.176*y + 2*t^8.294*y + 2*t^8.412*y + t^8.529*y - t^8.647*y + t^8.882*y | (g2^2*t^2.235)/g1^2 + t^2.353/g2^4 + g2^6*t^2.471 + (g2^3*t^2.941)/g1 + (g1*t^3.059)/g2^3 + (g2^10*t^3.529)/g1^2 + g2^4*t^3.647 + (g2^11*t^4.235)/g1 + g1*g2^5*t^4.353 + (g2^4*t^4.471)/g1^4 + t^4.588/(g1^2*g2^2) + t^4.706/g2^8 + (g2^8*t^4.706)/g1^2 + 2*g2^2*t^4.824 + g2^12*t^4.941 + (g2^5*t^5.176)/g1^3 + t^5.294/(g1*g2) + (g2^9*t^5.412)/g1 + g1*g2^3*t^5.529 + (g2^12*t^5.765)/g1^4 + (2*g2^6*t^5.882)/g1^2 - t^6. + (g2^16*t^6.)/g1^2 + g2^10*t^6.118 - t^6.471/(g1*g2^3) + (2*g2^13*t^6.471)/g1^3 - (g1*t^6.588)/g2^9 + (2*g2^7*t^6.588)/g1 + (g2^6*t^6.706)/g1^6 + (g2^17*t^6.706)/g1 + t^6.824/g1^4 + g1*g2^11*t^6.824 + t^6.941/(g1^2*g2^6) + (g2^10*t^6.941)/g1^4 + t^7.059/g2^12 + (g2^4*t^7.059)/g1^2 + (g2^20*t^7.059)/g1^4 + (2*g2^14*t^7.176)/g1^2 - (g1^2*t^7.294)/g2^8 + 2*g2^8*t^7.294 + (g2^7*t^7.412)/g1^5 + g2^18*t^7.412 + (g2*t^7.529)/g1^3 + (g2^11*t^7.647)/g1^3 + (g2^21*t^7.765)/g1^3 - (g1*t^7.882)/g2 + (2*g2^15*t^7.882)/g1 + g1*g2^9*t^8. + (g2^14*t^8.)/g1^6 + (2*g2^8*t^8.118)/g1^4 - (g2^2*t^8.235)/g1^2 + (g2^18*t^8.235)/g1^4 - (2*t^8.353)/g2^4 + (2*g2^12*t^8.353)/g1^2 - (g1^2*t^8.471)/g2^10 - 2*g2^6*t^8.471 + (2*g2^22*t^8.471)/g1^2 - g1^2*t^8.588 + 2*g2^16*t^8.588 - t^8.706/(g1^3*g2) + g1^2*g2^10*t^8.706 + (2*g2^15*t^8.706)/g1^5 - t^8.824/(g1*g2^7) + (2*g2^9*t^8.824)/g1^3 - (3*g2^3*t^8.941)/g1 + (g2^8*t^8.941)/g1^8 + (2*g2^19*t^8.941)/g1^3 - t^4.176/(g2^2*y) - t^6.412/(g1^2*y) - t^6.529/(g2^6*y) + t^7.588/(g1^2*g2^2*y) + (g2^8*t^7.706)/(g1^2*y) + (2*g2^2*t^7.824)/y + (g1^2*t^7.941)/(g2^4*y) + (g2^5*t^8.176)/(g1^3*y) + (2*t^8.294)/(g1*g2*y) + (g1*t^8.412)/(g2^7*y) + (g2^9*t^8.412)/(g1*y) + (g1*g2^3*t^8.529)/y - (g2^2*t^8.647)/(g1^4*y) - t^8.765/(g1^2*g2^4*y) + (g2^12*t^8.765)/(g1^4*y) - t^8.882/(g2^10*y) + (2*g2^6*t^8.882)/(g1^2*y) - (t^4.176*y)/g2^2 - (t^6.412*y)/g1^2 - (t^6.529*y)/g2^6 + (t^7.588*y)/(g1^2*g2^2) + (g2^8*t^7.706*y)/g1^2 + 2*g2^2*t^7.824*y + (g1^2*t^7.941*y)/g2^4 + (g2^5*t^8.176*y)/g1^3 + (2*t^8.294*y)/(g1*g2) + (g1*t^8.412*y)/g2^7 + (g2^9*t^8.412*y)/g1 + g1*g2^3*t^8.529*y - (g2^2*t^8.647*y)/g1^4 - (t^8.765*y)/(g1^2*g2^4) + (g2^12*t^8.765*y)/g1^4 - (t^8.882*y)/g2^10 + (2*g2^6*t^8.882*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46178 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.5873 | 0.7232 | 0.8121 | [M:[1.0024, 0.9976, 0.7764, 1.0024], q:[0.5858, 0.4118], qb:[0.4165, 1.0236], phi:[0.3906]] | t^2.329 + t^2.343 + t^2.485 + 2*t^3.007 + t^3.642 + t^3.657 + t^4.306 + t^4.32 + t^4.658 + t^4.673 + t^4.687 + t^4.814 + 2*t^4.828 + t^4.97 + t^5.336 + t^5.351 + 2*t^5.492 + t^5.972 + t^5.986 - 2*t^6. - t^4.172/y - t^4.172*y | detail | |
| 46322 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ | 0.5526 | 0.6831 | 0.809 | [M:[0.9176, 1.0824, 1.0], q:[0.6264, 0.456], qb:[0.2912, 0.956], phi:[0.4176]] | t^2.242 + t^2.506 + t^2.753 + t^3. + t^3.247 + t^3.494 + t^3.742 + t^3.989 + t^4.236 + t^4.483 + 2*t^4.747 + t^4.994 + t^5.011 + t^5.242 + t^5.489 + t^5.506 + t^5.736 + t^5.753 + t^5.983 - t^4.253/y - t^4.253*y | detail | |
| 46335 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6052 | 0.7542 | 0.8024 | [M:[1.0, 1.0, 0.7685, 0.7685], q:[0.5764, 0.4236], qb:[0.4236, 1.0393], phi:[0.3843]] | 3*t^2.306 + t^2.542 + 2*t^3. + t^3.694 + 2*t^4.389 + 6*t^4.611 + 4*t^4.847 + t^5.083 + 4*t^5.306 + 2*t^5.542 + t^6. - t^4.153/y - t^4.153*y | detail | |
| 46160 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | 0.5672 | 0.6901 | 0.8219 | [M:[0.9661, 1.0339, 0.7571], q:[0.517, 0.517], qb:[0.4491, 1.1384], phi:[0.3446]] | t^2.068 + t^2.271 + 2*t^2.898 + t^3.102 + t^3.932 + 2*t^4.136 + t^4.339 + t^4.543 + t^4.763 + 3*t^4.966 + 2*t^5.17 + t^5.373 + 2*t^5.796 - t^6. - t^4.034/y - t^4.034*y | detail | |
| 46300 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4644 | 0.5384 | 0.8625 | [X:[1.4565], M:[0.913, 1.087, 0.7175], q:[0.4076, 0.6794], qb:[0.5054, 1.3206], phi:[0.2718]] | t^2.153 + t^2.739 + t^3.261 + t^3.554 + t^4.305 + t^4.369 + t^4.892 + t^5.414 + t^5.478 - t^6. - t^3.815/y - t^5.968/y - t^3.815*y - t^5.968*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45932 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ | 0.57 | 0.6943 | 0.8211 | [M:[1.0, 1.0], q:[0.5963, 0.4037], qb:[0.4037, 1.0062], phi:[0.3975]] | t^2.385 + t^2.422 + 2*t^3. + 3*t^3.615 + 2*t^4.23 + t^4.77 + 2*t^4.807 + t^4.845 + 2*t^5.422 + t^6. - t^4.193/y - t^4.193*y | detail |