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 |
|---|---|---|---|---|---|---|---|---|---|
| 47932 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ | 1.3274 | 1.4947 | 0.8881 | [X:[1.3871], q:[0.6577, 0.3782], qb:[0.7294, 0.3961], phi:[0.3064]] | [X:[[0, 4]], q:[[1, -3], [-2, 8]], qb:[[-1, 7], [2, 0]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{4}q_{2}\tilde{q}_{2}$ | -1 | t^2.323 + t^2.758 + t^3.161 + t^3.242 + t^3.323 + t^4.081 + 3*t^4.161 + t^4.242 + t^4.645 + 2*t^5.081 + t^5.161 + 2*t^5.484 + t^5.516 + t^5.565 + t^5.645 - t^6. + t^6.081 + t^6.161 + 2*t^6.323 + 3*t^6.403 + 6*t^6.484 + 2*t^6.565 + t^6.645 - t^6.839 + t^6.968 - t^7. + t^7.242 + 4*t^7.323 + 6*t^7.403 + 5*t^7.484 + t^7.565 - t^7.758 + 2*t^7.807 + t^7.887 - 2*t^7.919 + t^7.968 - t^8. + 2*t^8.242 + t^8.274 + 5*t^8.323 + 5*t^8.403 + 3*t^8.484 + 3*t^8.645 + 4*t^8.726 + 7*t^8.807 - 2*t^8.839 + 2*t^8.887 + t^8.968 + t^8.758/y^2 - t^3.919/y - t^4.839/y - t^6.242/y - t^6.677/y - t^7.081/y - t^7.161/y - t^7.242/y - t^7.597/y - t^8./y - t^8.081/y - t^8.161/y + t^8.484/y + t^8.645/y + t^8.919/y - t^3.919*y - t^4.839*y - t^6.242*y - t^6.677*y - t^7.081*y - t^7.161*y - t^7.242*y - t^7.597*y - t^8.*y - t^8.081*y - t^8.161*y + t^8.484*y + t^8.645*y + t^8.919*y + t^8.758*y^2 | g2^8*t^2.323 + t^2.758/g2^6 + (g1^3*t^3.161)/g2^3 + g2^6*t^3.242 + (g2^15*t^3.323)/g1^3 + (g1^3*t^4.081)/g2^5 + 3*g2^4*t^4.161 + (g2^13*t^4.242)/g1^3 + g2^16*t^4.645 + 2*g2^2*t^5.081 + (g2^11*t^5.161)/g1^3 + 2*g1^3*g2^5*t^5.484 + t^5.516/g2^12 + g2^14*t^5.565 + (g2^23*t^5.645)/g1^3 - t^6. + (g2^9*t^6.081)/g1^3 + (g2^18*t^6.161)/g1^6 + (2*g1^6*t^6.323)/g2^6 + 3*g1^3*g2^3*t^6.403 + 6*g2^12*t^6.484 + (2*g2^21*t^6.565)/g1^3 + (g2^30*t^6.645)/g1^6 - (g1^3*t^6.839)/g2^11 + g2^24*t^6.968 - (g2^7*t^7.)/g1^3 + (g1^6*t^7.242)/g2^8 + 4*g1^3*g2*t^7.323 + 6*g2^10*t^7.403 + (5*g2^19*t^7.484)/g1^3 + (g2^28*t^7.565)/g1^6 - (g1^3*t^7.758)/g2^13 + 2*g1^3*g2^13*t^7.807 + g2^22*t^7.887 - (2*g2^5*t^7.919)/g1^3 + (g2^31*t^7.968)/g1^3 - (g2^14*t^8.)/g1^6 + (2*g1^3*t^8.242)/g2 + t^8.274/g2^18 + 5*g2^8*t^8.323 + (5*g2^17*t^8.403)/g1^3 + (3*g2^26*t^8.484)/g1^6 + 3*g1^6*g2^2*t^8.645 + 4*g1^3*g2^11*t^8.726 + 7*g2^20*t^8.807 - (2*g2^3*t^8.839)/g1^3 + (2*g2^29*t^8.887)/g1^3 + (g2^38*t^8.968)/g1^6 + t^8.758/(g2^6*y^2) - t^3.919/(g2^2*y) - t^4.839/(g2^4*y) - (g2^6*t^6.242)/y - t^6.677/(g2^8*y) - (g1^3*t^7.081)/(g2^5*y) - (g2^4*t^7.161)/y - (g2^13*t^7.242)/(g1^3*y) - t^7.597/(g2^10*y) - (g1^3*t^8.)/(g2^7*y) - (g2^2*t^8.081)/y - (g2^11*t^8.161)/(g1^3*y) + (g1^3*g2^5*t^8.484)/y + (g2^23*t^8.645)/(g1^3*y) + (g1^3*t^8.919)/(g2^9*y) - (t^3.919*y)/g2^2 - (t^4.839*y)/g2^4 - g2^6*t^6.242*y - (t^6.677*y)/g2^8 - (g1^3*t^7.081*y)/g2^5 - g2^4*t^7.161*y - (g2^13*t^7.242*y)/g1^3 - (t^7.597*y)/g2^10 - (g1^3*t^8.*y)/g2^7 - g2^2*t^8.081*y - (g2^11*t^8.161*y)/g1^3 + g1^3*g2^5*t^8.484*y + (g2^23*t^8.645*y)/g1^3 + (g1^3*t^8.919*y)/g2^9 + (t^8.758*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 |
|---|---|---|---|---|---|---|---|---|
| 57632 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.3357 | 1.5044 | 0.8879 | [X:[1.4001], M:[0.8998], q:[0.6555, 0.389], qb:[0.7446, 0.4113], phi:[0.2999]] | t^2.4 + 2*t^2.7 + t^3.2 + t^3.4 + t^4.1 + 3*t^4.2 + t^4.3 + t^4.8 + 3*t^5.1 + t^5.2 + 3*t^5.4 + 2*t^5.6 + t^5.8 + t^5.9 - 2*t^6. - t^3.9/y - t^4.8/y - t^3.9*y - t^4.8*y | detail | |
| 57633 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.3394 | 1.5112 | 0.8863 | [X:[1.4019], M:[0.8391], q:[0.6473, 0.4063], qb:[0.7546, 0.3975], phi:[0.299]] | t^2.41 + t^2.52 + t^2.69 + t^3.13 + t^3.31 + t^4.03 + 3*t^4.21 + t^4.38 + t^4.82 + t^4.93 + t^5.03 + 2*t^5.1 + t^5.21 + t^5.28 + t^5.38 + 2*t^5.55 + t^5.65 + t^5.72 + t^5.83 - t^6. - t^3.9/y - t^4.79/y - t^3.9*y - t^4.79*y | detail | |
| 57631 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.3101 | 1.4603 | 0.8971 | [X:[1.3992], M:[1.2016], q:[0.6557, 0.3882], qb:[0.7435, 0.4102], phi:[0.3004]] | t^2.7 + t^3.2 + t^3.3 + t^3.4 + t^3.6 + t^4.1 + 3*t^4.2 + t^4.3 + t^5.1 + t^5.2 + t^5.41 + t^5.59 - t^6. - t^3.9/y - t^4.8/y - t^3.9*y - t^4.8*y | detail | |
| 57626 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0556 | 1.1389 | 0.9268 | [X:[1.5556, 1.3333], M:[], q:[0.5185, 0.7407], qb:[1.037, 0.3704], phi:[0.2222]] | t^2.67 + 2*t^3.33 + 2*t^4. + 2*t^4.67 + 2*t^5.33 + t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y | detail | {a: 19/18, c: 41/36, X1: 14/9, X2: 4/3, q1: 14/27, q2: 20/27, qb1: 28/27, qb2: 10/27, phi1: 2/9} |
| 57630 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.3191 | 1.4708 | 0.8968 | [X:[1.4286], M:[], q:[0.6508, 0.4127], qb:[0.7778, 0.4444], phi:[0.2857]] | 2*t^2.57 + t^3.29 + t^3.43 + t^3.57 + t^4.14 + 3*t^4.29 + t^4.43 + 4*t^5.14 + t^5.29 + 2*t^5.86 - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 7239/5488, c: 1009/686, X1: 10/7, q1: 41/63, q2: 26/63, qb1: 7/9, qb2: 4/9, phi1: 2/7} |
| 57628 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1.2438 | 1.3838 | 0.8988 | [X:[1.4599], M:[], q:[0.5766, 0.5766], qb:[0.8832, 0.3431], phi:[0.2701]] | t^2.43 + 2*t^2.76 + 2*t^3.57 + 4*t^4.38 + t^4.86 + 3*t^5.19 + 5*t^5.52 - t^6. - t^3.81/y - t^4.62/y - t^3.81*y - t^4.62*y | detail | |
| 57627 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.2686 | 1.3936 | 0.9103 | [X:[1.5], M:[], q:[0.6389, 0.4722], qb:[0.8611, 0.5278], phi:[0.25]] | t^2.25 + t^3. + t^3.5 + t^3.75 + t^4. + t^4.25 + 4*t^4.5 + t^4.75 + 2*t^5.25 + t^5.5 - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y | detail | {a: 1299/1024, c: 1427/1024, X1: 3/2, q1: 23/36, q2: 17/36, qb1: 31/36, qb2: 19/36, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47876 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4426 | 1.6227 | 0.889 | [X:[1.353], q:[0.5758, 0.525], qb:[0.4792, 0.4792], phi:[0.3235]] | t^2.911 + 2*t^3.013 + 2*t^3.165 + 2*t^3.983 + t^4.059 + 2*t^4.135 + 2*t^4.953 + 2*t^5.106 + 2*t^5.283 + t^5.823 + 2*t^5.924 - 5*t^6. - t^3.97/y - t^4.941/y - t^3.97*y - t^4.941*y | detail |