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 |
|---|---|---|---|---|---|---|---|---|---|
| 4552 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.7285 | 0.914 | 0.7971 | [M:[1.0324, 0.9029, 0.8705, 1.0647, 1.0, 0.9353, 0.9676, 0.6781], q:[0.5486, 0.4191], qb:[0.5809, 0.5162], phi:[0.4838]] | [M:[[2], [-6], [-8], [4], [0], [-4], [-2], [11]], q:[[3], [-5]], qb:[[5], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | t^2.034 + t^2.612 + t^2.709 + t^2.806 + 2*t^2.903 + t^3. + t^3.194 + t^4.068 + t^4.257 + t^4.354 + t^4.451 + t^4.549 + 2*t^4.646 + 3*t^4.743 + 2*t^4.84 + 3*t^4.937 + t^5.034 + t^5.223 + t^5.228 + t^5.32 + 2*t^5.417 + 2*t^5.514 + 3*t^5.612 + 2*t^5.709 + 4*t^5.806 + t^5.903 - 2*t^6. + t^6.103 - t^6.194 + t^6.388 + t^6.583 + 2*t^6.68 + 3*t^6.777 + t^6.869 + 2*t^6.874 + t^6.966 + 3*t^6.971 + t^7.063 + t^7.068 + 3*t^7.16 + 5*t^7.257 + t^7.263 + 4*t^7.354 + 5*t^7.451 + 5*t^7.549 + 6*t^7.646 + 4*t^7.743 + t^7.835 + 4*t^7.84 + t^7.932 + t^7.937 + 2*t^8.029 - 3*t^8.034 + 3*t^8.126 + t^8.137 + 3*t^8.223 - t^8.228 + 3*t^8.32 + 4*t^8.417 + t^8.423 + 3*t^8.514 + t^8.617 + t^8.709 + 2*t^8.714 - 3*t^8.806 + 3*t^8.811 - 6*t^8.903 + 2*t^8.908 - t^4.451/y - t^6.486/y - t^7.063/y - t^7.16/y - t^7.354/y + t^7.549/y + t^7.646/y + (2*t^7.743)/y + (2*t^7.84)/y + (2*t^7.937)/y + t^8.034/y + t^8.228/y + t^8.32/y + (2*t^8.417)/y + (3*t^8.514)/y - t^8.52/y + (3*t^8.612)/y + (3*t^8.709)/y + (3*t^8.806)/y + (3*t^8.903)/y - t^4.451*y - t^6.486*y - t^7.063*y - t^7.16*y - t^7.354*y + t^7.549*y + t^7.646*y + 2*t^7.743*y + 2*t^7.84*y + 2*t^7.937*y + t^8.034*y + t^8.228*y + t^8.32*y + 2*t^8.417*y + 3*t^8.514*y - t^8.52*y + 3*t^8.612*y + 3*t^8.709*y + 3*t^8.806*y + 3*t^8.903*y | g1^11*t^2.034 + t^2.612/g1^8 + t^2.709/g1^6 + t^2.806/g1^4 + (2*t^2.903)/g1^2 + t^3. + g1^4*t^3.194 + g1^22*t^4.068 + t^4.257/g1^5 + t^4.354/g1^3 + t^4.451/g1 + g1*t^4.549 + 2*g1^3*t^4.646 + 3*g1^5*t^4.743 + 2*g1^7*t^4.84 + 3*g1^9*t^4.937 + g1^11*t^5.034 + t^5.223/g1^16 + g1^15*t^5.228 + t^5.32/g1^14 + (2*t^5.417)/g1^12 + (2*t^5.514)/g1^10 + (3*t^5.612)/g1^8 + (2*t^5.709)/g1^6 + (4*t^5.806)/g1^4 + t^5.903/g1^2 - 2*t^6. + g1^33*t^6.103 - g1^4*t^6.194 + g1^8*t^6.388 + g1^12*t^6.583 + 2*g1^14*t^6.68 + 3*g1^16*t^6.777 + t^6.869/g1^13 + 2*g1^18*t^6.874 + t^6.966/g1^11 + 3*g1^20*t^6.971 + t^7.063/g1^9 + g1^22*t^7.068 + (3*t^7.16)/g1^7 + (5*t^7.257)/g1^5 + g1^26*t^7.263 + (4*t^7.354)/g1^3 + (5*t^7.451)/g1 + 5*g1*t^7.549 + 6*g1^3*t^7.646 + 4*g1^5*t^7.743 + t^7.835/g1^24 + 4*g1^7*t^7.84 + t^7.932/g1^22 + g1^9*t^7.937 + (2*t^8.029)/g1^20 - 3*g1^11*t^8.034 + (3*t^8.126)/g1^18 + g1^44*t^8.137 + (3*t^8.223)/g1^16 - g1^15*t^8.228 + (3*t^8.32)/g1^14 + (4*t^8.417)/g1^12 + g1^19*t^8.423 + (3*t^8.514)/g1^10 + g1^23*t^8.617 + t^8.709/g1^6 + 2*g1^25*t^8.714 - (3*t^8.806)/g1^4 + 3*g1^27*t^8.811 - (6*t^8.903)/g1^2 + 2*g1^29*t^8.908 - t^4.451/(g1*y) - (g1^10*t^6.486)/y - t^7.063/(g1^9*y) - t^7.16/(g1^7*y) - t^7.354/(g1^3*y) + (g1*t^7.549)/y + (g1^3*t^7.646)/y + (2*g1^5*t^7.743)/y + (2*g1^7*t^7.84)/y + (2*g1^9*t^7.937)/y + (g1^11*t^8.034)/y + (g1^15*t^8.228)/y + t^8.32/(g1^14*y) + (2*t^8.417)/(g1^12*y) + (3*t^8.514)/(g1^10*y) - (g1^21*t^8.52)/y + (3*t^8.612)/(g1^8*y) + (3*t^8.709)/(g1^6*y) + (3*t^8.806)/(g1^4*y) + (3*t^8.903)/(g1^2*y) - (t^4.451*y)/g1 - g1^10*t^6.486*y - (t^7.063*y)/g1^9 - (t^7.16*y)/g1^7 - (t^7.354*y)/g1^3 + g1*t^7.549*y + g1^3*t^7.646*y + 2*g1^5*t^7.743*y + 2*g1^7*t^7.84*y + 2*g1^9*t^7.937*y + g1^11*t^8.034*y + g1^15*t^8.228*y + (t^8.32*y)/g1^14 + (2*t^8.417*y)/g1^12 + (3*t^8.514*y)/g1^10 - g1^21*t^8.52*y + (3*t^8.612*y)/g1^8 + (3*t^8.709*y)/g1^6 + (3*t^8.806*y)/g1^4 + (3*t^8.903*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6043 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ | 0.7018 | 0.8852 | 0.7929 | [M:[1.0667, 0.8, 0.7333, 1.1333, 1.0, 0.8667, 0.9333, 0.8667], q:[0.6, 0.3333], qb:[0.6667, 0.5333], phi:[0.4667]] | t^2.2 + t^2.4 + 2*t^2.6 + 2*t^2.8 + t^3. + t^3.4 + t^4. + t^4.2 + 2*t^4.4 + 2*t^4.6 + 4*t^4.8 + 5*t^5. + 6*t^5.2 + 5*t^5.4 + 5*t^5.6 + t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 4211/6000, c: 5311/6000, M1: 16/15, M2: 4/5, M3: 11/15, M4: 17/15, M5: 1, M6: 13/15, M7: 14/15, M8: 13/15, q1: 3/5, q2: 1/3, qb1: 2/3, qb2: 8/15, phi1: 7/15} |
| 6046 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{9}$ | 0.7349 | 0.9246 | 0.7948 | [M:[1.0362, 0.8914, 0.8552, 1.0724, 1.0, 0.9276, 0.9638, 0.6991, 0.9276], q:[0.5543, 0.4095], qb:[0.5905, 0.5181], phi:[0.4819]] | t^2.097 + t^2.566 + t^2.674 + 2*t^2.783 + 2*t^2.891 + t^3. + t^4.195 + t^4.229 + t^4.337 + t^4.446 + t^4.554 + 2*t^4.663 + 3*t^4.771 + 3*t^4.88 + 3*t^4.989 + t^5.097 + t^5.131 + t^5.24 + 3*t^5.348 + 3*t^5.457 + 5*t^5.566 + 4*t^5.674 + 4*t^5.783 - 3*t^6. - t^4.446/y - t^4.446*y | detail | |
| 6042 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{3}X_{1}$ | 0.6321 | 0.7912 | 0.7989 | [X:[1.3636], M:[1.0909, 0.7273, 0.6364, 1.1818, 1.0, 0.8182, 0.9091, 1.0], q:[0.6364, 0.2727], qb:[0.7273, 0.5455], phi:[0.4545]] | t^2.182 + t^2.455 + 2*t^2.727 + 2*t^3. + t^3.545 + t^3.818 + 2*t^4.091 + 2*t^4.364 + t^4.636 + 3*t^4.909 + 5*t^5.182 + 5*t^5.455 + 4*t^5.727 - t^4.364/y - t^4.364*y | detail | {a: 13461/21296, c: 16849/21296, X1: 15/11, M1: 12/11, M2: 8/11, M3: 7/11, M4: 13/11, M5: 1, M6: 9/11, M7: 10/11, M8: 1, q1: 7/11, q2: 3/11, qb1: 8/11, qb2: 6/11, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2508 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ | 0.7078 | 0.8734 | 0.8103 | [M:[1.0335, 0.8995, 0.866, 1.067, 1.0, 0.933, 0.9665], q:[0.5503, 0.4162], qb:[0.5838, 0.5168], phi:[0.4832]] | t^2.598 + t^2.698 + t^2.799 + 2*t^2.899 + t^3. + t^3.201 + t^3.947 + t^4.249 + t^4.349 + t^4.45 + t^4.55 + t^4.651 + 2*t^4.751 + t^4.852 + t^4.952 + t^5.196 + t^5.296 + 2*t^5.397 + 2*t^5.497 + 3*t^5.598 + 2*t^5.698 + 4*t^5.799 + t^5.899 - 2*t^6. - t^4.45/y - t^4.45*y | detail |