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 |
|---|---|---|---|---|---|---|---|---|---|
| 1845 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6577 | 0.8161 | 0.8059 | [M:[1.1325, 1.1004, 0.9156, 0.8675, 0.6987], q:[0.7751, 0.3414], qb:[0.5262, 0.5582], phi:[0.4498]] | [M:[[8], [-4], [10], [-8], [12]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}q_{1}q_{2}$ | ${}$ | -1 | t^2.096 + t^2.603 + t^2.699 + t^2.747 + t^3.301 + t^3.349 + t^3.397 + t^3.952 + t^4. + t^4.048 + t^4.192 + t^4.506 + t^4.603 + 2*t^4.699 + t^4.795 + t^4.843 + t^5.205 + t^5.301 + 2*t^5.397 + t^5.446 + 2*t^5.494 + t^5.952 - t^6. + 2*t^6.048 + 2*t^6.096 + 2*t^6.144 + t^6.289 + t^6.603 + 2*t^6.699 + 2*t^6.747 + 3*t^6.795 + t^6.891 + t^6.939 + t^7.109 + t^7.205 + 2*t^7.301 + t^7.349 + 3*t^7.397 + t^7.446 + 2*t^7.494 + t^7.542 + 2*t^7.59 + t^7.808 + t^7.904 + t^8. + t^8.048 + t^8.096 + 2*t^8.144 + 2*t^8.192 + 3*t^8.241 + t^8.385 + t^8.458 + t^8.554 - 2*t^8.603 - t^8.747 + 2*t^8.795 + 3*t^8.843 + 4*t^8.891 + t^8.987 - t^4.349/y - t^6.446/y - t^7.096/y + t^7.603/y + t^7.699/y + t^7.795/y + t^7.843/y + t^8.253/y + t^8.301/y + t^8.349/y + t^8.397/y + (2*t^8.446)/y + t^8.494/y - t^8.542/y + t^8.904/y + t^8.952/y - t^4.349*y - t^6.446*y - t^7.096*y + t^7.603*y + t^7.699*y + t^7.795*y + t^7.843*y + t^8.253*y + t^8.301*y + t^8.349*y + t^8.397*y + 2*t^8.446*y + t^8.494*y - t^8.542*y + t^8.904*y + t^8.952*y | g1^12*t^2.096 + t^2.603/g1^8 + g1^4*t^2.699 + g1^10*t^2.747 + t^3.301/g1^4 + g1^2*t^3.349 + g1^8*t^3.397 + t^3.952/g1^6 + t^4. + g1^6*t^4.048 + g1^24*t^4.192 + t^4.506/g1^20 + t^4.603/g1^8 + 2*g1^4*t^4.699 + g1^16*t^4.795 + g1^22*t^4.843 + t^5.205/g1^16 + t^5.301/g1^4 + 2*g1^8*t^5.397 + g1^14*t^5.446 + 2*g1^20*t^5.494 + t^5.952/g1^6 - t^6. + 2*g1^6*t^6.048 + 2*g1^12*t^6.096 + 2*g1^18*t^6.144 + g1^36*t^6.289 + t^6.603/g1^8 + 2*g1^4*t^6.699 + 2*g1^10*t^6.747 + 3*g1^16*t^6.795 + g1^28*t^6.891 + g1^34*t^6.939 + t^7.109/g1^28 + t^7.205/g1^16 + (2*t^7.301)/g1^4 + g1^2*t^7.349 + 3*g1^8*t^7.397 + g1^14*t^7.446 + 2*g1^20*t^7.494 + g1^26*t^7.542 + 2*g1^32*t^7.59 + t^7.808/g1^24 + t^7.904/g1^12 + t^8. + g1^6*t^8.048 + g1^12*t^8.096 + 2*g1^18*t^8.144 + 2*g1^24*t^8.192 + 3*g1^30*t^8.241 + g1^48*t^8.385 + t^8.458/g1^26 + t^8.554/g1^14 - (2*t^8.603)/g1^8 - g1^10*t^8.747 + 2*g1^16*t^8.795 + 3*g1^22*t^8.843 + 4*g1^28*t^8.891 + g1^40*t^8.987 - (g1^2*t^4.349)/y - (g1^14*t^6.446)/y - (g1^12*t^7.096)/y + t^7.603/(g1^8*y) + (g1^4*t^7.699)/y + (g1^16*t^7.795)/y + (g1^22*t^7.843)/y + t^8.253/(g1^10*y) + t^8.301/(g1^4*y) + (g1^2*t^8.349)/y + (g1^8*t^8.397)/y + (2*g1^14*t^8.446)/y + (g1^20*t^8.494)/y - (g1^26*t^8.542)/y + t^8.904/(g1^12*y) + t^8.952/(g1^6*y) - g1^2*t^4.349*y - g1^14*t^6.446*y - g1^12*t^7.096*y + (t^7.603*y)/g1^8 + g1^4*t^7.699*y + g1^16*t^7.795*y + g1^22*t^7.843*y + (t^8.253*y)/g1^10 + (t^8.301*y)/g1^4 + g1^2*t^8.349*y + g1^8*t^8.397*y + 2*g1^14*t^8.446*y + g1^20*t^8.494*y - g1^26*t^8.542*y + (t^8.904*y)/g1^12 + (t^8.952*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2865 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ | 0.61 | 0.7596 | 0.803 | [M:[1.2727, 1.0303, 1.0909, 0.7273, 0.9091], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | t^2.182 + t^2.727 + t^2.909 + t^3.091 + t^3.273 + 2*t^3.455 + t^3.636 + t^3.818 + t^4. + t^4.182 + 2*t^4.364 + 2*t^4.909 + t^5.091 + t^5.455 + 3*t^5.636 + 2*t^5.818 - t^4.455/y - t^4.455*y | detail | {a: 38971/63888, c: 24265/31944, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 10/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| 2868 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ | 0.6513 | 0.8048 | 0.8093 | [M:[1.1559, 1.0887, 0.9449, 0.8441, 0.7339, 1.0551], q:[0.7722, 0.3501], qb:[0.494, 0.5612], phi:[0.4556]] | t^2.202 + t^2.532 + t^2.734 + t^3.165 + t^3.266 + t^3.367 + t^3.468 + t^3.899 + t^4. + t^4.101 + t^4.331 + t^4.403 + t^4.532 + 2*t^4.734 + t^4.935 + t^5.065 + t^5.266 + 2*t^5.468 + t^5.669 + t^5.698 + 2*t^5.899 - t^6. - t^4.367/y - t^4.367*y | detail | |
| 2866 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6306 | 0.7824 | 0.806 | [M:[1.2381, 1.0476, 1.0476, 0.7619, 0.8571], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | t^2.286 + t^2.571 + t^2.857 + 2*t^3.143 + t^3.429 + 3*t^3.714 + t^4. + 2*t^4.286 + t^4.571 + 2*t^4.857 + 2*t^5.143 + t^5.429 + 4*t^5.714 + t^6. - t^4.429/y - t^4.429*y | detail | {a: 3461/5488, c: 2147/2744, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 6/7, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
| 2867 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6488 | 0.8006 | 0.8104 | [M:[1.1413, 1.096, 0.9267, 0.8587, 0.712, 1.096], q:[0.774, 0.3447], qb:[0.514, 0.5593], phi:[0.452]] | t^2.136 + t^2.576 + t^2.78 + 2*t^3.288 + t^3.356 + t^3.424 + t^3.932 + t^4. + t^4.068 + t^4.272 + t^4.44 + t^4.576 + 2*t^4.712 + t^4.916 + t^5.152 + 2*t^5.424 + 2*t^5.56 + t^5.864 + t^5.932 - 2*t^6. - t^4.356/y - t^4.356*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 |
|---|---|---|---|---|---|---|---|---|---|
| 427 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ | 0.6373 | 0.7771 | 0.8201 | [M:[1.1394, 1.097, 0.9242, 0.8606], q:[0.7742, 0.3439], qb:[0.5167, 0.5591], phi:[0.4515]] | t^2.582 + t^2.709 + t^2.773 + t^3.291 + t^3.355 + t^3.418 + t^3.873 + t^3.936 + t^4. + t^4.064 + t^4.455 + t^4.582 + t^4.709 + t^5.164 + t^5.291 + t^5.418 + t^5.545 + t^5.936 - t^6. - t^4.355/y - t^4.355*y | detail |