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 |
|---|---|---|---|---|---|---|---|---|---|
| 4387 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7259 | 0.9006 | 0.806 | [M:[0.7949, 1.1026, 1.0, 0.9616, 0.8333, 1.0384, 0.7564, 0.9616], q:[0.641, 0.5641], qb:[0.3974, 0.6026], phi:[0.4487]] | [M:[[-4], [2], [0], [9], [-13], [-9], [5], [9]], q:[[-7], [11]], qb:[[-2], [2]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{8}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{2}M_{5}$ | ${}$ | -2 | t^2.269 + t^2.385 + t^2.5 + 2*t^2.885 + t^3. + t^3.308 + t^3.731 + t^4.231 + t^4.346 + t^4.461 + t^4.539 + t^4.654 + t^4.731 + 2*t^4.769 + t^4.846 + t^4.884 + 2*t^4.962 + t^5. + t^5.077 + 2*t^5.154 + t^5.192 + 2*t^5.269 + 2*t^5.385 + t^5.577 + t^5.692 + 2*t^5.769 + t^5.808 - 2*t^6. - t^6.115 + 2*t^6.192 + t^6.308 + 2*t^6.615 + 2*t^6.731 + t^6.808 + t^6.846 + t^6.923 + t^6.961 + t^7. + 2*t^7.038 + 3*t^7.116 + 2*t^7.154 + 4*t^7.231 + 2*t^7.269 + 3*t^7.346 + t^7.384 + 2*t^7.423 + 3*t^7.461 + t^7.5 + 2*t^7.539 + t^7.577 + 2*t^7.616 + 3*t^7.654 + t^7.692 + 2*t^7.731 + t^7.769 + 3*t^7.846 + t^7.884 + 2*t^7.962 + 2*t^8.039 + 3*t^8.077 + t^8.154 + 2*t^8.192 - 2*t^8.269 + t^8.308 - 5*t^8.385 + 2*t^8.462 - 4*t^8.5 + 2*t^8.577 - t^8.615 + 2*t^8.654 + 3*t^8.692 - t^8.769 + t^8.808 - 5*t^8.885 + t^8.923 + t^8.962 - t^4.346/y - t^6.615/y - t^6.731/y - t^6.846/y - t^7.231/y + t^7.461/y + t^7.654/y + t^7.769/y + t^7.846/y + t^7.884/y + t^7.962/y + t^8.077/y + (2*t^8.154)/y + (3*t^8.269)/y + (3*t^8.385)/y + t^8.5/y + t^8.577/y + t^8.692/y + t^8.769/y + t^8.808/y + t^8.885/y - t^4.346*y - t^6.615*y - t^6.731*y - t^6.846*y - t^7.231*y + t^7.461*y + t^7.654*y + t^7.769*y + t^7.846*y + t^7.884*y + t^7.962*y + t^8.077*y + 2*t^8.154*y + 3*t^8.269*y + 3*t^8.385*y + t^8.5*y + t^8.577*y + t^8.692*y + t^8.769*y + t^8.808*y + t^8.885*y | g1^5*t^2.269 + t^2.385/g1^4 + t^2.5/g1^13 + 2*g1^9*t^2.885 + t^3. + g1^2*t^3.308 + t^3.731/g1^5 + g1^8*t^4.231 + t^4.346/g1 + t^4.461/g1^10 + g1^10*t^4.539 + g1*t^4.654 + g1^21*t^4.731 + (2*t^4.769)/g1^8 + g1^12*t^4.846 + t^4.884/g1^17 + 2*g1^3*t^4.962 + t^5./g1^26 + t^5.077/g1^6 + 2*g1^14*t^5.154 + t^5.192/g1^15 + 2*g1^5*t^5.269 + (2*t^5.385)/g1^4 + g1^7*t^5.577 + t^5.692/g1^2 + 2*g1^18*t^5.769 + t^5.808/g1^11 - 2*t^6. - t^6.115/g1^9 + 2*g1^11*t^6.192 + g1^2*t^6.308 + 2*g1^4*t^6.615 + (2*t^6.731)/g1^5 + g1^15*t^6.808 + t^6.846/g1^14 + g1^6*t^6.923 + t^6.961/g1^23 + g1^26*t^7. + (2*t^7.038)/g1^3 + 3*g1^17*t^7.116 + (2*t^7.154)/g1^12 + 4*g1^8*t^7.231 + (2*t^7.269)/g1^21 + (3*t^7.346)/g1 + t^7.384/g1^30 + 2*g1^19*t^7.423 + (3*t^7.461)/g1^10 + t^7.5/g1^39 + 2*g1^10*t^7.539 + t^7.577/g1^19 + 2*g1^30*t^7.616 + 3*g1*t^7.654 + t^7.692/g1^28 + 2*g1^21*t^7.731 + t^7.769/g1^8 + 3*g1^12*t^7.846 + t^7.884/g1^17 + 2*g1^3*t^7.962 + 2*g1^23*t^8.039 + (3*t^8.077)/g1^6 + g1^14*t^8.154 + (2*t^8.192)/g1^15 - 2*g1^5*t^8.269 + t^8.308/g1^24 - (5*t^8.385)/g1^4 + 2*g1^16*t^8.462 - (4*t^8.5)/g1^13 + 2*g1^7*t^8.577 - t^8.615/g1^22 + 2*g1^27*t^8.654 + (3*t^8.692)/g1^2 - g1^18*t^8.769 + t^8.808/g1^11 - 5*g1^9*t^8.885 + t^8.923/g1^20 + g1^29*t^8.962 - t^4.346/(g1*y) - (g1^4*t^6.615)/y - t^6.731/(g1^5*y) - t^6.846/(g1^14*y) - (g1^8*t^7.231)/y + t^7.461/(g1^10*y) + (g1*t^7.654)/y + t^7.769/(g1^8*y) + (g1^12*t^7.846)/y + t^7.884/(g1^17*y) + (g1^3*t^7.962)/y + t^8.077/(g1^6*y) + (2*g1^14*t^8.154)/y + (3*g1^5*t^8.269)/y + (3*t^8.385)/(g1^4*y) + t^8.5/(g1^13*y) + (g1^7*t^8.577)/y + t^8.692/(g1^2*y) + (g1^18*t^8.769)/y + t^8.808/(g1^11*y) + (g1^9*t^8.885)/y - (t^4.346*y)/g1 - g1^4*t^6.615*y - (t^6.731*y)/g1^5 - (t^6.846*y)/g1^14 - g1^8*t^7.231*y + (t^7.461*y)/g1^10 + g1*t^7.654*y + (t^7.769*y)/g1^8 + g1^12*t^7.846*y + (t^7.884*y)/g1^17 + g1^3*t^7.962*y + (t^8.077*y)/g1^6 + 2*g1^14*t^8.154*y + 3*g1^5*t^8.269*y + (3*t^8.385*y)/g1^4 + (t^8.5*y)/g1^13 + g1^7*t^8.577*y + (t^8.692*y)/g1^2 + g1^18*t^8.769*y + (t^8.808*y)/g1^11 + g1^9*t^8.885*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 |
|---|---|---|---|---|---|---|---|---|
| 5860 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{7}X_{1}$ | 0.6266 | 0.7847 | 0.7985 | [X:[1.3529], M:[0.8824, 1.0588, 1.0, 0.7647, 1.1176, 1.2353, 0.6471, 0.7647], q:[0.7941, 0.3235], qb:[0.4412, 0.5588], phi:[0.4706]] | 2*t^2.294 + t^2.647 + t^3. + t^3.176 + 2*t^3.353 + t^3.706 + 3*t^4.059 + t^4.412 + 2*t^4.588 + 2*t^4.765 + t^4.941 + t^5.118 + t^5.294 + 3*t^5.471 + 3*t^5.647 + t^5.824 - t^4.412/y - t^4.412*y | detail | {a: 24627/39304, c: 61681/78608, X1: 23/17, M1: 15/17, M2: 18/17, M3: 1, M4: 13/17, M5: 19/17, M6: 21/17, M7: 11/17, M8: 13/17, q1: 27/34, q2: 11/34, qb1: 15/34, qb2: 19/34, phi1: 8/17} |
| 5873 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{9}$ | 0.7092 | 0.8714 | 0.8138 | [M:[0.7978, 1.1011, 1.0, 0.9549, 0.8429, 1.0451, 0.7527, 0.9549, 1.2022], q:[0.6462, 0.556], qb:[0.3989, 0.6011], phi:[0.4495]] | t^2.258 + t^2.529 + 2*t^2.865 + t^3. + t^3.303 + t^3.607 + t^3.742 + t^4.213 + t^4.348 + t^4.484 + t^4.516 + t^4.685 + t^4.787 + t^4.82 + 2*t^4.955 + t^5.057 + t^5.09 + 2*t^5.123 + t^5.225 + t^5.393 + t^5.562 + 2*t^5.73 + t^5.832 + t^5.865 - 2*t^6. - t^4.348/y - t^4.348*y | detail | |
| 5870 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.7204 | 0.8966 | 0.8035 | [M:[0.8182, 1.0909, 1.0, 0.9091, 0.9091, 1.0909, 0.7273, 0.9091], q:[0.6818, 0.5], qb:[0.4091, 0.5909], phi:[0.4545]] | t^2.182 + t^2.455 + 3*t^2.727 + t^3. + t^3.273 + t^3.818 + t^4.091 + 3*t^4.364 + 3*t^4.636 + 6*t^4.909 + 4*t^5.182 + 7*t^5.455 + t^5.727 + t^6. - t^4.364/y - t^4.364*y | detail | {a: 7671/10648, c: 19093/21296, M1: 9/11, M2: 12/11, M3: 1, M4: 10/11, M5: 10/11, M6: 12/11, M7: 8/11, M8: 10/11, q1: 15/22, q2: 1/2, qb1: 9/22, qb2: 13/22, phi1: 5/11} |
| 5874 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{9}$ | 0.7353 | 0.9163 | 0.8024 | [M:[0.7928, 1.1036, 1.0, 0.9663, 0.8264, 1.0337, 0.7591, 0.9663, 0.8964], q:[0.6373, 0.5699], qb:[0.3964, 0.6036], phi:[0.4482]] | t^2.277 + t^2.378 + t^2.479 + t^2.689 + 2*t^2.899 + t^3. + t^3.723 + t^4.243 + t^4.345 + t^4.446 + t^4.554 + t^4.655 + 2*t^4.757 + t^4.764 + t^4.858 + t^4.865 + t^4.959 + 3*t^4.966 + 2*t^5.067 + 2*t^5.168 + 2*t^5.176 + 2*t^5.277 + 3*t^5.378 + 2*t^5.588 + t^5.689 + 2*t^5.798 - 2*t^6. - t^4.345/y - t^4.345*y | detail | |
| 5861 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ | 0.6991 | 0.877 | 0.7972 | [M:[0.8462, 1.0769, 1.0, 0.8462, 1.0, 1.1538, 0.6923, 0.8462], q:[0.7308, 0.4231], qb:[0.4231, 0.5769], phi:[0.4615]] | t^2.077 + 3*t^2.538 + 2*t^3. + t^3.231 + 3*t^3.923 + t^4.154 + 2*t^4.385 + 3*t^4.615 + 3*t^4.846 + 6*t^5.077 + 2*t^5.308 + 3*t^5.538 + 4*t^5.769 - t^4.385/y - t^4.385*y | detail | {a: 1536/2197, c: 30829/35152, M1: 11/13, M2: 14/13, M3: 1, M4: 11/13, M5: 1, M6: 15/13, M7: 9/13, M8: 11/13, q1: 19/26, q2: 11/26, qb1: 11/26, qb2: 15/26, phi1: 6/13} |
| 5872 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{7}M_{9}$ | 0.7072 | 0.8667 | 0.816 | [M:[0.7921, 1.104, 1.0, 0.9679, 0.8242, 1.0321, 0.7599, 0.9679, 1.2401], q:[0.6361, 0.5719], qb:[0.396, 0.604], phi:[0.448]] | t^2.376 + t^2.473 + 2*t^2.904 + t^3. + t^3.312 + 2*t^3.72 + t^4.248 + t^4.344 + t^4.44 + t^4.752 + t^4.775 + t^4.849 + t^4.872 + t^4.945 + 2*t^4.968 + t^5.064 + t^5.161 + t^5.28 + 2*t^5.376 + t^5.688 + t^5.784 + 2*t^5.807 - 3*t^6. - t^4.344/y - t^4.344*y | detail | |
| 5875 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.7448 | 0.935 | 0.7965 | [M:[0.7975, 1.1013, 1.0, 0.9556, 0.8418, 1.0444, 0.7531, 0.9556, 0.7531], q:[0.6456, 0.5569], qb:[0.3987, 0.6013], phi:[0.4494]] | 2*t^2.259 + t^2.392 + t^2.526 + 2*t^2.867 + t^3. + t^3.304 + t^4.215 + t^4.348 + t^4.481 + 3*t^4.519 + 2*t^4.652 + t^4.69 + 3*t^4.785 + t^4.823 + t^4.918 + 2*t^4.956 + t^5.051 + t^5.089 + 4*t^5.126 + t^5.222 + 3*t^5.259 + 2*t^5.392 + 2*t^5.563 + t^5.696 + 2*t^5.734 + t^5.829 - 3*t^6. - t^4.348/y - t^4.348*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2370 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ | 0.7333 | 0.912 | 0.804 | [M:[0.8598, 1.0701, 1.0, 0.9947, 0.8651, 1.0053, 0.6753, 0.9947], q:[0.5754, 0.5648], qb:[0.4299, 0.5701], phi:[0.4649]] | t^2.026 + t^2.579 + t^2.595 + 2*t^2.984 + t^3. + t^3.21 + t^3.437 + t^4.052 + t^4.379 + t^4.395 + t^4.411 + t^4.605 + t^4.621 + t^4.784 + t^4.8 + 2*t^4.816 + t^4.831 + t^4.847 + 2*t^5.01 + t^5.026 + t^5.159 + t^5.175 + t^5.19 + t^5.236 + t^5.462 + t^5.563 + 2*t^5.579 + t^5.79 + t^5.806 + 2*t^5.968 - 3*t^6. - t^4.395/y - t^4.395*y | detail |