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 |
|---|---|---|---|---|---|---|---|---|---|
| 2262 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6865 | 0.8814 | 0.7788 | [M:[1.1761, 0.7441, 0.8239, 0.8239, 0.7441, 0.8239, 0.7042], q:[0.804, 0.4519], qb:[0.3721, 0.804], phi:[0.392]] | [M:[[-6], [-14], [6], [6], [-14], [6], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | -2 | t^2.113 + 2*t^2.232 + t^2.352 + 3*t^2.472 + t^3.408 + t^3.648 + t^4.225 + 2*t^4.345 + 4*t^4.465 + 5*t^4.585 + 7*t^4.704 + 4*t^4.824 + 6*t^4.944 + t^5.521 + 2*t^5.641 + t^5.761 + 3*t^5.88 - 2*t^6. + t^6.12 - t^6.239 + t^6.338 + 2*t^6.458 + 4*t^6.578 + 9*t^6.697 + 11*t^6.817 + 14*t^6.937 + 13*t^7.056 + 12*t^7.176 + 5*t^7.296 + 7*t^7.415 - t^7.535 + t^7.634 + 2*t^7.754 + 4*t^7.873 + 3*t^7.993 + 3*t^8.113 - 5*t^8.232 - 2*t^8.352 + t^8.451 - 11*t^8.472 + 2*t^8.571 - 3*t^8.592 + 4*t^8.69 - 4*t^8.711 + 9*t^8.81 + 16*t^8.93 - t^4.176/y - t^6.289/y - (2*t^6.408)/y - t^6.528/y - (2*t^6.648)/y + (2*t^7.345)/y + (2*t^7.465)/y + (5*t^7.585)/y + (8*t^7.704)/y + (4*t^7.824)/y + (5*t^7.944)/y + t^8.063/y - t^8.401/y - t^8.521/y - (2*t^8.641)/y - (2*t^8.761)/y - t^4.176*y - t^6.289*y - 2*t^6.408*y - t^6.528*y - 2*t^6.648*y + 2*t^7.345*y + 2*t^7.465*y + 5*t^7.585*y + 8*t^7.704*y + 4*t^7.824*y + 5*t^7.944*y + t^8.063*y - t^8.401*y - t^8.521*y - 2*t^8.641*y - 2*t^8.761*y | t^2.113/g1^24 + (2*t^2.232)/g1^14 + t^2.352/g1^4 + 3*g1^6*t^2.472 + t^3.408/g1^16 + g1^4*t^3.648 + t^4.225/g1^48 + (2*t^4.345)/g1^38 + (4*t^4.465)/g1^28 + (5*t^4.585)/g1^18 + (7*t^4.704)/g1^8 + 4*g1^2*t^4.824 + 6*g1^12*t^4.944 + t^5.521/g1^40 + (2*t^5.641)/g1^30 + t^5.761/g1^20 + (3*t^5.88)/g1^10 - 2*t^6. + g1^10*t^6.12 - g1^20*t^6.239 + t^6.338/g1^72 + (2*t^6.458)/g1^62 + (4*t^6.578)/g1^52 + (9*t^6.697)/g1^42 + (11*t^6.817)/g1^32 + (14*t^6.937)/g1^22 + (13*t^7.056)/g1^12 + (12*t^7.176)/g1^2 + 5*g1^8*t^7.296 + 7*g1^18*t^7.415 - g1^28*t^7.535 + t^7.634/g1^64 + (2*t^7.754)/g1^54 + (4*t^7.873)/g1^44 + (3*t^7.993)/g1^34 + (3*t^8.113)/g1^24 - (5*t^8.232)/g1^14 - (2*t^8.352)/g1^4 + t^8.451/g1^96 - 11*g1^6*t^8.472 + (2*t^8.571)/g1^86 - 3*g1^16*t^8.592 + (4*t^8.69)/g1^76 - 4*g1^26*t^8.711 + (9*t^8.81)/g1^66 + (16*t^8.93)/g1^56 - t^4.176/(g1^2*y) - t^6.289/(g1^26*y) - (2*t^6.408)/(g1^16*y) - t^6.528/(g1^6*y) - (2*g1^4*t^6.648)/y + (2*t^7.345)/(g1^38*y) + (2*t^7.465)/(g1^28*y) + (5*t^7.585)/(g1^18*y) + (8*t^7.704)/(g1^8*y) + (4*g1^2*t^7.824)/y + (5*g1^12*t^7.944)/y + (g1^22*t^8.063)/y - t^8.401/(g1^50*y) - t^8.521/(g1^40*y) - (2*t^8.641)/(g1^30*y) - (2*t^8.761)/(g1^20*y) - (t^4.176*y)/g1^2 - (t^6.289*y)/g1^26 - (2*t^6.408*y)/g1^16 - (t^6.528*y)/g1^6 - 2*g1^4*t^6.648*y + (2*t^7.345*y)/g1^38 + (2*t^7.465*y)/g1^28 + (5*t^7.585*y)/g1^18 + (8*t^7.704*y)/g1^8 + 4*g1^2*t^7.824*y + 5*g1^12*t^7.944*y + g1^22*t^8.063*y - (t^8.401*y)/g1^50 - (t^8.521*y)/g1^40 - (2*t^8.641*y)/g1^30 - (2*t^8.761*y)/g1^20 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4264 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ | 0.6038 | 0.7716 | 0.7826 | [M:[1.2632, 0.9474, 0.7368, 0.7368, 0.9474, 0.7368, 1.0526], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] | 3*t^2.211 + t^2.526 + 2*t^2.842 + t^3.158 + t^3.474 + t^4.105 + 6*t^4.421 + 4*t^4.737 + 7*t^5.053 + 4*t^5.368 + 5*t^5.684 - t^4.263/y - t^4.263*y | detail | {a: 66267/109744, c: 42339/54872, M1: 24/19, M2: 18/19, M3: 14/19, M4: 14/19, M5: 18/19, M6: 14/19, M7: 20/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, phi1: 8/19} |
| 4262 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ | 0.6255 | 0.7974 | 0.7844 | [M:[1.25, 0.9167, 0.75, 0.75, 0.9167, 0.75, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | 3*t^2.25 + t^2.5 + 2*t^2.75 + t^3. + t^3.5 + t^4. + 6*t^4.5 + 4*t^4.75 + 7*t^5. + 5*t^5.25 + 3*t^5.5 + 3*t^5.75 - t^6. - t^4.25/y - t^4.25*y | detail | {a: 1281/2048, c: 1633/2048, M1: 5/4, M2: 11/12, M3: 3/4, M4: 3/4, M5: 11/12, M6: 3/4, M7: 1, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
| 4263 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6993 | 0.9017 | 0.7756 | [M:[1.1839, 0.7625, 0.8161, 0.8161, 0.7625, 0.8161, 0.7356, 0.8429], q:[0.8027, 0.4349], qb:[0.3812, 0.8027], phi:[0.3946]] | t^2.207 + 2*t^2.287 + t^2.368 + 3*t^2.448 + t^2.529 + t^3.632 + t^4.414 + 2*t^4.494 + 4*t^4.575 + 5*t^4.655 + 8*t^4.736 + 6*t^4.816 + 7*t^4.897 + 3*t^4.977 + t^5.057 - 2*t^6. - t^4.184/y - t^4.184*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1203 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{6}$ | 0.6662 | 0.8424 | 0.7908 | [M:[1.1807, 0.7549, 0.8193, 0.8193, 0.7549, 0.8193], q:[0.8032, 0.4418], qb:[0.3775, 0.8032], phi:[0.3936]] | 2*t^2.265 + t^2.361 + 3*t^2.458 + t^3.446 + t^3.639 + t^3.832 + 3*t^4.53 + 2*t^4.626 + 7*t^4.723 + 4*t^4.819 + 6*t^4.916 + 2*t^5.71 + 3*t^5.903 - 2*t^6. - t^4.181/y - t^4.181*y | detail |