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 |
|---|---|---|---|---|---|---|---|---|---|
| 47126 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.639 | 0.7933 | 0.8056 | [M:[1.1493, 0.7399, 0.8507, 1.2338, 0.7924, 0.6817], q:[0.3962, 0.4545], qb:[0.8638, 0.7531], phi:[0.3831]] | [M:[[-3, -3], [2, 4], [3, 3], [2, 2], [-6, -8], [-7, -7]], 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 |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}q_{2}^{2}$ | ${}$ | -2 | t^2.045 + t^2.22 + t^2.377 + t^2.552 + t^3.448 + t^3.527 + 2*t^3.701 + t^3.876 + t^4.09 + t^4.265 + t^4.422 + t^4.44 + 2*t^4.597 + t^4.755 + t^4.772 + t^4.851 + t^4.929 + t^5.104 + t^5.493 + t^5.572 + t^5.668 + 2*t^5.746 + t^5.904 + 2*t^5.921 - 2*t^6. + 2*t^6.079 + t^6.096 + t^6.135 - t^6.175 + 2*t^6.254 + t^6.31 + t^6.428 + t^6.467 + t^6.485 + 2*t^6.642 + t^6.659 + t^6.8 + 2*t^6.817 + t^6.896 + 2*t^6.974 + t^6.992 + t^7.053 + t^7.132 + t^7.149 + t^7.228 + t^7.307 + t^7.403 + t^7.538 + t^7.578 + t^7.617 + t^7.713 + t^7.753 + 2*t^7.791 + t^7.887 + t^7.949 + 2*t^7.966 - 2*t^8.045 + 2*t^8.124 + 2*t^8.141 + t^8.18 - 3*t^8.22 + t^8.281 + 3*t^8.299 + t^8.316 + t^8.355 - 3*t^8.377 - t^8.395 + 2*t^8.456 + t^8.473 + t^8.512 + t^8.53 - 3*t^8.552 + t^8.631 + t^8.648 + 2*t^8.687 + t^8.704 - t^8.727 + t^8.806 + t^8.845 + 2*t^8.862 + t^8.879 + t^8.941 + t^8.981 - t^4.149/y - t^6.194/y - t^6.369/y - t^6.527/y + t^7.265/y + t^7.422/y + (2*t^7.597)/y + (2*t^7.772)/y + (2*t^7.929)/y + t^8.104/y - t^8.239/y - t^8.414/y + t^8.493/y - t^8.589/y + t^8.668/y + (2*t^8.746)/y + t^8.825/y + (3*t^8.921)/y - t^4.149*y - t^6.194*y - t^6.369*y - t^6.527*y + t^7.265*y + t^7.422*y + 2*t^7.597*y + 2*t^7.772*y + 2*t^7.929*y + t^8.104*y - t^8.239*y - t^8.414*y + t^8.493*y - t^8.589*y + t^8.668*y + 2*t^8.746*y + t^8.825*y + 3*t^8.921*y | t^2.045/(g1^7*g2^7) + g1^2*g2^4*t^2.22 + t^2.377/(g1^6*g2^8) + g1^3*g2^3*t^2.552 + t^3.448/(g1^3*g2^3) + t^3.527/(g1^7*g2^9) + 2*g1^2*g2^2*t^3.701 + g1^11*g2^13*t^3.876 + t^4.09/(g1^14*g2^14) + t^4.265/(g1^5*g2^3) + t^4.422/(g1^13*g2^15) + g1^4*g2^8*t^4.44 + (2*t^4.597)/(g1^4*g2^4) + t^4.755/(g1^12*g2^16) + g1^5*g2^7*t^4.772 + g1*g2*t^4.851 + t^4.929/(g1^3*g2^5) + g1^6*g2^6*t^5.104 + t^5.493/(g1^10*g2^10) + t^5.572/(g1^14*g2^16) + (g2*t^5.668)/g1 + (2*t^5.746)/(g1^5*g2^5) + t^5.904/(g1^13*g2^17) + 2*g1^4*g2^6*t^5.921 - 2*t^6. + (2*t^6.079)/(g1^4*g2^6) + g1^13*g2^17*t^6.096 + t^6.135/(g1^21*g2^21) - g1^9*g2^11*t^6.175 + 2*g1^5*g2^5*t^6.254 + t^6.31/(g1^12*g2^10) + g1^14*g2^16*t^6.428 + t^6.467/(g1^20*g2^22) + (g2*t^6.485)/g1^3 + (2*t^6.642)/(g1^11*g2^11) + g1^6*g2^12*t^6.659 + t^6.8/(g1^19*g2^23) + (2*t^6.817)/g1^2 + t^6.896/(g1^6*g2^6) + (2*t^6.974)/(g1^10*g2^12) + g1^7*g2^11*t^6.992 + t^7.053/(g1^14*g2^18) + t^7.132/(g1^18*g2^24) + t^7.149/(g1*g2) + t^7.228/(g1^5*g2^7) + t^7.307/(g1^9*g2^13) + g1^4*g2^4*t^7.403 + t^7.538/(g1^17*g2^17) + g1^13*g2^15*t^7.578 + t^7.617/(g1^21*g2^23) + t^7.713/(g1^8*g2^6) + g1^22*g2^26*t^7.753 + (2*t^7.791)/(g1^12*g2^12) + g1*g2^5*t^7.887 + t^7.949/(g1^20*g2^24) + (2*t^7.966)/(g1^3*g2) - (2*t^8.045)/(g1^7*g2^7) + (2*t^8.124)/(g1^11*g2^13) + 2*g1^6*g2^10*t^8.141 + t^8.18/(g1^28*g2^28) - 3*g1^2*g2^4*t^8.22 + t^8.281/(g1^19*g2^25) + (3*t^8.299)/(g1^2*g2^2) + g1^15*g2^21*t^8.316 + t^8.355/(g1^19*g2^17) - (3*t^8.377)/(g1^6*g2^8) - g1^11*g2^15*t^8.395 + (2*t^8.456)/(g1^10*g2^14) + g1^7*g2^9*t^8.473 + t^8.512/(g1^27*g2^29) + t^8.53/(g1^10*g2^6) - 3*g1^3*g2^3*t^8.552 + t^8.631/(g1*g2^3) + g1^16*g2^20*t^8.648 + (2*t^8.687)/(g1^18*g2^18) + (g2^5*t^8.704)/g1 - g1^12*g2^14*t^8.727 + g1^8*g2^8*t^8.806 + t^8.845/(g1^26*g2^30) + (2*t^8.862)/(g1^9*g2^7) + g1^8*g2^16*t^8.879 + t^8.941/(g1^13*g2^13) + g1^17*g2^19*t^8.981 - t^4.149/(g1*g2*y) - t^6.194/(g1^8*g2^8*y) - (g1*g2^3*t^6.369)/y - t^6.527/(g1^7*g2^9*y) + t^7.265/(g1^5*g2^3*y) + t^7.422/(g1^13*g2^15*y) + (2*t^7.597)/(g1^4*g2^4*y) + (2*g1^5*g2^7*t^7.772)/y + (2*t^7.929)/(g1^3*g2^5*y) + (g1^6*g2^6*t^8.104)/y - t^8.239/(g1^15*g2^15*y) - t^8.414/(g1^6*g2^4*y) + t^8.493/(g1^10*g2^10*y) - (g1^3*g2^7*t^8.589)/y + (g2*t^8.668)/(g1*y) + (2*t^8.746)/(g1^5*g2^5*y) + t^8.825/(g1^9*g2^11*y) + (3*g1^4*g2^6*t^8.921)/y - (t^4.149*y)/(g1*g2) - (t^6.194*y)/(g1^8*g2^8) - g1*g2^3*t^6.369*y - (t^6.527*y)/(g1^7*g2^9) + (t^7.265*y)/(g1^5*g2^3) + (t^7.422*y)/(g1^13*g2^15) + (2*t^7.597*y)/(g1^4*g2^4) + 2*g1^5*g2^7*t^7.772*y + (2*t^7.929*y)/(g1^3*g2^5) + g1^6*g2^6*t^8.104*y - (t^8.239*y)/(g1^15*g2^15) - (t^8.414*y)/(g1^6*g2^4) + (t^8.493*y)/(g1^10*g2^10) - g1^3*g2^7*t^8.589*y + (g2*t^8.668*y)/g1 + (2*t^8.746*y)/(g1^5*g2^5) + (t^8.825*y)/(g1^9*g2^11) + 3*g1^4*g2^6*t^8.921*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 |
|---|---|---|---|---|---|---|---|---|
| 53157 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ + ${ }M_{5}X_{1}$ | 0.5708 | 0.6958 | 0.8203 | [X:[1.3817], M:[1.2137, 1.0, 0.7863, 1.1909, 0.6183, 0.832], q:[0.3091, 0.4772], qb:[0.6909, 0.9046], phi:[0.4046]] | t^2.359 + t^2.496 + t^3. + t^3.069 + 2*t^3.573 + t^3.641 + t^4.077 + t^4.145 + t^4.718 + t^4.786 + t^4.855 + t^4.992 + t^5.359 + t^5.564 + t^5.931 - t^6. - t^4.214/y - t^4.214*y | detail | |
| 55558 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6327 | 0.784 | 0.807 | [M:[1.1845, 0.7382, 0.8155, 1.2103, 0.8412, 0.7639], q:[0.4206, 0.3948], qb:[0.8412, 0.7639], phi:[0.3948]] | t^2.215 + t^2.292 + t^2.446 + t^2.524 + 2*t^3.554 + 2*t^3.631 + t^3.708 + t^4.429 + t^4.506 + t^4.584 + t^4.661 + 2*t^4.738 + 2*t^4.815 + t^4.893 + t^4.97 + t^5.047 + 2*t^5.768 + 3*t^5.845 + t^5.923 - t^4.185/y - t^4.185*y | detail | |
| 55516 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}^{2}$ | 0.5778 | 0.7207 | 0.8018 | [M:[1.2857, 0.9107, 0.7143, 1.1429, 0.8036, 1.0], q:[0.4018, 0.3125], qb:[0.6875, 0.8839], phi:[0.4286]] | t^2.143 + t^2.411 + t^2.732 + t^3. + t^3.161 + 2*t^3.429 + t^3.696 + t^3.857 + t^4.286 + t^4.554 + t^4.714 + t^4.821 + t^4.875 + 2*t^5.143 + t^5.304 + t^5.411 + t^5.464 + 2*t^5.571 + 2*t^5.839 + t^5.893 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 50739/87808, c: 63283/87808, M1: 9/7, M2: 51/56, M3: 5/7, M4: 8/7, M5: 45/56, M6: 1, q1: 45/112, q2: 5/16, qb1: 11/16, qb2: 99/112, phi1: 3/7} |
| 55650 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.655 | 0.8217 | 0.7971 | [M:[1.1534, 0.7168, 0.8466, 1.231, 0.8212, 0.6914, 0.7944], q:[0.4106, 0.436], qb:[0.8726, 0.7429], phi:[0.3845]] | t^2.074 + t^2.15 + t^2.383 + t^2.463 + t^2.54 + t^3.46 + 2*t^3.693 + t^3.769 + t^4.148 + t^4.224 + t^4.301 + t^4.457 + t^4.533 + t^4.538 + 2*t^4.614 + t^4.69 + t^4.766 + 2*t^4.847 + t^4.923 + t^4.927 + t^5.003 + t^5.079 + t^5.534 + t^5.611 + t^5.767 + 3*t^5.843 + t^5.92 - 2*t^6. - t^4.153/y - t^4.153*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46410 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ | 0.7203 | 0.8807 | 0.8179 | [M:[0.9817, 0.896, 1.0183, 1.0959, 0.9121, 0.7898], q:[0.4561, 0.5623], qb:[0.648, 0.5256], phi:[0.452]] | t^2.369 + t^2.688 + t^2.736 + t^2.945 + t^3.055 + t^3.288 + t^3.521 + t^4.093 + t^4.301 + t^4.411 + t^4.51 + t^4.62 + t^4.668 + t^4.73 + t^4.739 + t^4.877 + t^4.987 + t^5.057 + t^5.106 + t^5.244 + t^5.314 + t^5.376 + t^5.424 + t^5.473 + t^5.657 + t^5.89 + t^5.976 - 3*t^6. - t^4.356/y - t^4.356*y | detail |