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 |
|---|---|---|---|---|---|---|---|---|---|
| 54201 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6888 | 0.8814 | 0.7814 | [M:[1.1507, 0.7416, 0.8493, 0.7927, 0.685, 0.8493, 0.7672], q:[0.3964, 0.4529], qb:[0.862, 0.7544], phi:[0.3836]] | [M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [-7, -7], [3, 3], [-2, -2]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$ | ${}$ | -3 | t^2.055 + t^2.225 + 2*t^2.301 + t^2.378 + 2*t^2.548 + t^3.529 + t^3.868 + t^4.11 + t^4.28 + 2*t^4.357 + t^4.433 + t^4.45 + 2*t^4.526 + 6*t^4.603 + 2*t^4.68 + t^4.756 + 2*t^4.773 + 5*t^4.849 + 2*t^4.926 + 3*t^5.096 + t^5.584 + t^5.83 + t^5.907 - 3*t^6. + t^6.077 + t^6.093 + t^6.165 + t^6.17 + t^6.335 + 2*t^6.412 + 2*t^6.416 + t^6.488 + t^6.505 + 2*t^6.581 + 6*t^6.658 + t^6.674 + 2*t^6.735 + 2*t^6.751 + t^6.811 + 6*t^6.828 + 10*t^6.904 + 5*t^6.981 + 2*t^6.997 + 3*t^7.058 + 4*t^7.074 + t^7.134 + 10*t^7.151 + 3*t^7.227 + 2*t^7.304 + t^7.32 + 5*t^7.397 + 2*t^7.474 - t^7.567 + t^7.639 + 3*t^7.643 + t^7.736 + t^7.885 + t^7.962 - 4*t^8.055 + 2*t^8.132 + t^8.208 + t^8.221 - 4*t^8.225 + t^8.285 - 8*t^8.301 + t^8.318 - 3*t^8.378 + t^8.39 + t^8.395 + t^8.455 + 2*t^8.467 + t^8.543 - 9*t^8.548 + t^8.56 + 2*t^8.637 + 2*t^8.641 + 6*t^8.713 + 2*t^8.717 + t^8.73 + 2*t^8.79 - t^8.794 + 2*t^8.806 + t^8.866 + 6*t^8.883 + t^8.899 + 10*t^8.96 + 3*t^8.964 + 2*t^8.976 - t^4.151/y - t^6.206/y - t^6.376/y - (2*t^6.452)/y - t^6.529/y - t^6.699/y + t^7.28/y + (2*t^7.357)/y + t^7.433/y + (2*t^7.526)/y + (5*t^7.603)/y + (2*t^7.68)/y + (3*t^7.773)/y + (6*t^7.849)/y + (3*t^7.926)/y + (2*t^8.096)/y - t^8.261/y - t^8.431/y - (2*t^8.507)/y - t^8.6/y - (2*t^8.677)/y - (4*t^8.754)/y - t^4.151*y - t^6.206*y - t^6.376*y - 2*t^6.452*y - t^6.529*y - t^6.699*y + t^7.28*y + 2*t^7.357*y + t^7.433*y + 2*t^7.526*y + 5*t^7.603*y + 2*t^7.68*y + 3*t^7.773*y + 6*t^7.849*y + 3*t^7.926*y + 2*t^8.096*y - t^8.261*y - t^8.431*y - 2*t^8.507*y - t^8.6*y - 2*t^8.677*y - 4*t^8.754*y | t^2.055/(g1^7*g2^7) + g1^2*g2^4*t^2.225 + (2*t^2.301)/(g1^2*g2^2) + t^2.378/(g1^6*g2^8) + 2*g1^3*g2^3*t^2.548 + t^3.529/(g1^7*g2^9) + g1^11*g2^13*t^3.868 + t^4.11/(g1^14*g2^14) + t^4.28/(g1^5*g2^3) + (2*t^4.357)/(g1^9*g2^9) + t^4.433/(g1^13*g2^15) + g1^4*g2^8*t^4.45 + 2*g2^2*t^4.526 + (6*t^4.603)/(g1^4*g2^4) + (2*t^4.68)/(g1^8*g2^10) + t^4.756/(g1^12*g2^16) + 2*g1^5*g2^7*t^4.773 + 5*g1*g2*t^4.849 + (2*t^4.926)/(g1^3*g2^5) + 3*g1^6*g2^6*t^5.096 + t^5.584/(g1^14*g2^16) + t^5.83/(g1^9*g2^11) + t^5.907/(g1^13*g2^17) - 3*t^6. + t^6.077/(g1^4*g2^6) + g1^13*g2^17*t^6.093 + t^6.165/(g1^21*g2^21) + g1^9*g2^11*t^6.17 + t^6.335/(g1^12*g2^10) + (2*t^6.412)/(g1^16*g2^16) + 2*g1^14*g2^16*t^6.416 + t^6.488/(g1^20*g2^22) + (g2*t^6.505)/g1^3 + (2*t^6.581)/(g1^7*g2^5) + (6*t^6.658)/(g1^11*g2^11) + g1^6*g2^12*t^6.674 + (2*t^6.735)/(g1^15*g2^17) + 2*g1^2*g2^6*t^6.751 + t^6.811/(g1^19*g2^23) + (6*t^6.828)/g1^2 + (10*t^6.904)/(g1^6*g2^6) + (5*t^6.981)/(g1^10*g2^12) + 2*g1^7*g2^11*t^6.997 + (3*t^7.058)/(g1^14*g2^18) + 4*g1^3*g2^5*t^7.074 + t^7.134/(g1^18*g2^24) + (10*t^7.151)/(g1*g2) + (3*t^7.227)/(g1^5*g2^7) + (2*t^7.304)/(g1^9*g2^13) + g1^8*g2^10*t^7.32 + 5*g1^4*g2^4*t^7.397 + (2*t^7.474)/g2^2 - g1^13*g2^15*t^7.567 + t^7.639/(g1^21*g2^23) + 3*g1^9*g2^9*t^7.643 + g1^22*g2^26*t^7.736 + t^7.885/(g1^16*g2^18) + t^7.962/(g1^20*g2^24) - (4*t^8.055)/(g1^7*g2^7) + (2*t^8.132)/(g1^11*g2^13) + t^8.208/(g1^15*g2^19) + t^8.221/(g1^28*g2^28) - 4*g1^2*g2^4*t^8.225 + t^8.285/(g1^19*g2^25) - (8*t^8.301)/(g1^2*g2^2) + g1^15*g2^21*t^8.318 - (3*t^8.378)/(g1^6*g2^8) + t^8.39/(g1^19*g2^17) + g1^11*g2^15*t^8.395 + t^8.455/(g1^10*g2^14) + (2*t^8.467)/(g1^23*g2^23) + t^8.543/(g1^27*g2^29) - 9*g1^3*g2^3*t^8.548 + t^8.56/(g1^10*g2^6) + (2*t^8.637)/(g1^14*g2^12) + 2*g1^16*g2^20*t^8.641 + (6*t^8.713)/(g1^18*g2^18) + 2*g1^12*g2^14*t^8.717 + (g2^5*t^8.73)/g1 + (2*t^8.79)/(g1^22*g2^24) - g1^8*g2^8*t^8.794 + (2*t^8.806)/(g1^5*g2) + t^8.866/(g1^26*g2^30) + (6*t^8.883)/(g1^9*g2^7) + g1^8*g2^16*t^8.899 + (10*t^8.96)/(g1^13*g2^13) + 3*g1^17*g2^19*t^8.964 + 2*g1^4*g2^10*t^8.976 - t^4.151/(g1*g2*y) - t^6.206/(g1^8*g2^8*y) - (g1*g2^3*t^6.376)/y - (2*t^6.452)/(g1^3*g2^3*y) - t^6.529/(g1^7*g2^9*y) - (g1^2*g2^2*t^6.699)/y + t^7.28/(g1^5*g2^3*y) + (2*t^7.357)/(g1^9*g2^9*y) + t^7.433/(g1^13*g2^15*y) + (2*g2^2*t^7.526)/y + (5*t^7.603)/(g1^4*g2^4*y) + (2*t^7.68)/(g1^8*g2^10*y) + (3*g1^5*g2^7*t^7.773)/y + (6*g1*g2*t^7.849)/y + (3*t^7.926)/(g1^3*g2^5*y) + (2*g1^6*g2^6*t^8.096)/y - t^8.261/(g1^15*g2^15*y) - t^8.431/(g1^6*g2^4*y) - (2*t^8.507)/(g1^10*g2^10*y) - (g1^3*g2^7*t^8.6)/y - (2*g2*t^8.677)/(g1*y) - (4*t^8.754)/(g1^5*g2^5*y) - (t^4.151*y)/(g1*g2) - (t^6.206*y)/(g1^8*g2^8) - g1*g2^3*t^6.376*y - (2*t^6.452*y)/(g1^3*g2^3) - (t^6.529*y)/(g1^7*g2^9) - g1^2*g2^2*t^6.699*y + (t^7.28*y)/(g1^5*g2^3) + (2*t^7.357*y)/(g1^9*g2^9) + (t^7.433*y)/(g1^13*g2^15) + 2*g2^2*t^7.526*y + (5*t^7.603*y)/(g1^4*g2^4) + (2*t^7.68*y)/(g1^8*g2^10) + 3*g1^5*g2^7*t^7.773*y + 6*g1*g2*t^7.849*y + (3*t^7.926*y)/(g1^3*g2^5) + 2*g1^6*g2^6*t^8.096*y - (t^8.261*y)/(g1^15*g2^15) - (t^8.431*y)/(g1^6*g2^4) - (2*t^8.507*y)/(g1^10*g2^10) - g1^3*g2^7*t^8.6*y - (2*g2*t^8.677*y)/g1 - (4*t^8.754*y)/(g1^5*g2^5) |
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 |
|---|---|---|---|---|---|---|---|---|
| 56517 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6885 | 0.881 | 0.7815 | [M:[1.1521, 0.7282, 0.8479, 0.808, 0.6883, 0.8479, 0.7681], q:[0.404, 0.4439], qb:[0.8678, 0.7481], phi:[0.384]] | t^2.065 + t^2.185 + 2*t^2.304 + t^2.424 + 2*t^2.544 + t^3.576 + t^3.815 + t^4.13 + t^4.25 + 3*t^4.369 + 3*t^4.489 + 6*t^4.609 + 4*t^4.728 + 6*t^4.848 + 2*t^4.968 + 3*t^5.087 + t^5.641 + t^5.88 - t^6. - t^4.152/y - t^4.152*y | detail | |
| 56545 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}^{2}$ | 0.6232 | 0.8018 | 0.7773 | [M:[1.2857, 0.9107, 0.7143, 0.8036, 1.0, 0.7143, 0.8571], q:[0.4018, 0.3125], qb:[0.6875, 0.8839], phi:[0.4286]] | 2*t^2.143 + t^2.411 + 2*t^2.571 + t^2.732 + t^3. + t^3.161 + t^3.696 + 3*t^4.286 + 2*t^4.554 + 5*t^4.714 + t^4.821 + 2*t^4.875 + 2*t^4.982 + 6*t^5.143 + 4*t^5.304 + t^5.411 + t^5.464 + 2*t^5.571 + 2*t^5.732 + t^5.839 + t^5.893 - 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 54723/87808, c: 70403/87808, M1: 9/7, M2: 51/56, M3: 5/7, M4: 45/56, M5: 1, M6: 5/7, M7: 6/7, q1: 45/112, q2: 5/16, qb1: 11/16, qb2: 99/112, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47176 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.6706 | 0.8484 | 0.7904 | [M:[1.1549, 0.7464, 0.8451, 0.7935, 0.6948, 0.8451], q:[0.3967, 0.4484], qb:[0.8569, 0.7582], phi:[0.385]] | t^2.084 + t^2.239 + t^2.31 + t^2.38 + 2*t^2.535 + t^3.535 + t^3.69 + t^3.845 + t^4.169 + t^4.324 + t^4.394 + t^4.465 + t^4.478 + t^4.549 + 4*t^4.62 + t^4.69 + t^4.761 + 2*t^4.775 + 3*t^4.845 + 2*t^4.916 + 3*t^5.071 + t^5.62 + t^5.775 + t^5.916 + t^5.929 - 2*t^6. - t^4.155/y - t^4.155*y | detail |