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 |
|---|---|---|---|---|---|---|---|---|---|
| 3882 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.6087 | 0.7778 | 0.7826 | [M:[0.8222, 0.8834, 0.9847, 0.7208, 1.2792, 0.7208, 1.0153], q:[0.7361, 0.4417], qb:[0.2792, 0.8375], phi:[0.4264]] | [M:[[16], [-12], [7], [-3], [3], [-3], [-7]], q:[[-10], [-6]], qb:[[3], [9]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | -1 | 2*t^2.163 + t^2.467 + t^2.558 + t^2.65 + t^2.954 + t^3.046 + t^3.442 + t^3.929 + 3*t^4.325 + 2*t^4.629 + 3*t^4.721 + 2*t^4.813 + t^4.933 + t^5.025 + 4*t^5.117 + 3*t^5.208 + t^5.3 + t^5.421 + t^5.512 + 3*t^5.604 + t^5.696 + t^5.908 - t^6. + 3*t^6.092 + 4*t^6.488 + t^6.579 + t^6.792 + 3*t^6.883 + 3*t^6.975 + 2*t^7.096 + 2*t^7.187 + 5*t^7.279 + 5*t^7.371 + t^7.4 + 2*t^7.463 + t^7.492 + 4*t^7.583 + 3*t^7.675 + 6*t^7.767 + 4*t^7.858 + t^7.887 + t^7.95 + t^7.979 + 2*t^8.071 - 2*t^8.163 + 5*t^8.254 + t^8.346 + t^8.375 - 2*t^8.467 - 2*t^8.558 + 3*t^8.65 + 3*t^8.742 - 3*t^8.954 - t^4.279/y - t^6.442/y - t^6.746/y - t^6.837/y - t^6.929/y + t^7.325/y + (3*t^7.629)/y + (3*t^7.721)/y + (3*t^7.813)/y + t^8.025/y + (4*t^8.117)/y + (3*t^8.208)/y + t^8.421/y + (2*t^8.512)/y + (3*t^8.604)/y + t^8.696/y - t^4.279*y - t^6.442*y - t^6.746*y - t^6.837*y - t^6.929*y + t^7.325*y + 3*t^7.629*y + 3*t^7.721*y + 3*t^7.813*y + t^8.025*y + 4*t^8.117*y + 3*t^8.208*y + t^8.421*y + 2*t^8.512*y + 3*t^8.604*y + t^8.696*y | (2*t^2.163)/g1^3 + g1^16*t^2.467 + g1^2*t^2.558 + t^2.65/g1^12 + g1^7*t^2.954 + t^3.046/g1^7 + t^3.442/g1^2 + t^3.929/g1^11 + (3*t^4.325)/g1^6 + 2*g1^13*t^4.629 + (3*t^4.721)/g1 + (2*t^4.813)/g1^15 + g1^32*t^4.933 + g1^18*t^5.025 + 4*g1^4*t^5.117 + (3*t^5.208)/g1^10 + t^5.3/g1^24 + g1^23*t^5.421 + g1^9*t^5.512 + (3*t^5.604)/g1^5 + t^5.696/g1^19 + g1^14*t^5.908 - t^6. + (3*t^6.092)/g1^14 + (4*t^6.488)/g1^9 + t^6.579/g1^23 + g1^10*t^6.792 + (3*t^6.883)/g1^4 + (3*t^6.975)/g1^18 + 2*g1^29*t^7.096 + 2*g1^15*t^7.187 + 5*g1*t^7.279 + (5*t^7.371)/g1^13 + g1^48*t^7.4 + (2*t^7.463)/g1^27 + g1^34*t^7.492 + 4*g1^20*t^7.583 + 3*g1^6*t^7.675 + (6*t^7.767)/g1^8 + (4*t^7.858)/g1^22 + g1^39*t^7.887 + t^7.95/g1^36 + g1^25*t^7.979 + 2*g1^11*t^8.071 - (2*t^8.163)/g1^3 + (5*t^8.254)/g1^17 + t^8.346/g1^31 + g1^30*t^8.375 - 2*g1^16*t^8.467 - 2*g1^2*t^8.558 + (3*t^8.65)/g1^12 + (3*t^8.742)/g1^26 - 3*g1^7*t^8.954 - (g1*t^4.279)/y - t^6.442/(g1^2*y) - (g1^17*t^6.746)/y - (g1^3*t^6.837)/y - t^6.929/(g1^11*y) + t^7.325/(g1^6*y) + (3*g1^13*t^7.629)/y + (3*t^7.721)/(g1*y) + (3*t^7.813)/(g1^15*y) + (g1^18*t^8.025)/y + (4*g1^4*t^8.117)/y + (3*t^8.208)/(g1^10*y) + (g1^23*t^8.421)/y + (2*g1^9*t^8.512)/y + (3*t^8.604)/(g1^5*y) + t^8.696/(g1^19*y) - g1*t^4.279*y - (t^6.442*y)/g1^2 - g1^17*t^6.746*y - g1^3*t^6.837*y - (t^6.929*y)/g1^11 + (t^7.325*y)/g1^6 + 3*g1^13*t^7.629*y + (3*t^7.721*y)/g1 + (3*t^7.813*y)/g1^15 + g1^18*t^8.025*y + 4*g1^4*t^8.117*y + (3*t^8.208*y)/g1^10 + g1^23*t^8.421*y + 2*g1^9*t^8.512*y + (3*t^8.604*y)/g1^5 + (t^8.696*y)/g1^19 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5470 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{1}^{2}$ | 0.5885 | 0.7604 | 0.774 | [M:[1.0, 0.75, 1.0625, 0.6875, 1.3125, 0.6875, 0.9375], q:[0.625, 0.375], qb:[0.3125, 0.9375], phi:[0.4375]] | 2*t^2.063 + t^2.25 + t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.375 + t^3.563 + 3*t^4.125 + 2*t^4.313 + t^4.5 + 3*t^4.688 + 3*t^4.875 + 3*t^5.063 + 4*t^5.25 + 3*t^5.438 + 4*t^5.625 + 2*t^5.813 - t^4.313/y - t^4.313*y | detail | {a: 4821/8192, c: 6229/8192, M1: 1, M2: 3/4, M3: 17/16, M4: 11/16, M5: 21/16, M6: 11/16, M7: 15/16, q1: 5/8, q2: 3/8, qb1: 5/16, qb2: 15/16, phi1: 7/16} |
| 5471 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{3}M_{8}$ | 0.6079 | 0.7774 | 0.782 | [M:[0.8537, 0.8597, 0.9985, 0.7149, 1.2851, 0.7149, 1.0015, 1.0015], q:[0.7164, 0.4299], qb:[0.2851, 0.8552], phi:[0.4284]] | 2*t^2.145 + t^2.561 + t^2.57 + t^2.579 + 2*t^3.004 + t^3.43 + t^3.864 + 3*t^4.29 + 2*t^4.706 + 3*t^4.715 + 2*t^4.724 + t^5.122 + t^5.131 + 2*t^5.14 + 5*t^5.149 + t^5.158 + t^5.566 + 3*t^5.575 + 2*t^5.584 - 2*t^6. - t^4.285/y - t^4.285*y | detail | |
| 5472 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{7}M_{8}$ | 0.6107 | 0.7811 | 0.7818 | [M:[0.7913, 0.9065, 0.9712, 0.7266, 1.2734, 0.7266, 1.0288, 0.9712], q:[0.7554, 0.4532], qb:[0.2734, 0.8201], phi:[0.4245]] | 2*t^2.18 + t^2.374 + t^2.547 + t^2.719 + 2*t^2.914 + t^3.453 + t^3.993 + 3*t^4.36 + 2*t^4.554 + 3*t^4.727 + t^4.748 + 2*t^4.899 + t^4.921 + 6*t^5.094 + t^5.266 + 2*t^5.288 + t^5.439 + t^5.46 + 3*t^5.633 + 3*t^5.827 - 2*t^6. - t^4.273/y - t^4.273*y | detail | |
| 5473 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6216 | 0.7998 | 0.7772 | [M:[0.815, 0.8887, 0.9816, 0.7222, 1.2778, 0.7222, 1.0184, 0.8519], q:[0.7406, 0.4444], qb:[0.2778, 0.8335], phi:[0.4259]] | 2*t^2.167 + t^2.445 + 2*t^2.556 + t^2.666 + t^2.945 + t^3.055 + t^3.944 + 3*t^4.333 + 2*t^4.612 + 5*t^4.722 + 2*t^4.833 + t^4.89 + 2*t^5.001 + 6*t^5.111 + 4*t^5.222 + t^5.332 + t^5.39 + 2*t^5.5 + 2*t^5.611 + t^5.721 - 2*t^6. - t^4.278/y - t^4.278*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3396 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6909 | 0.8877 | 0.7783 | [M:[0.7502, 0.7838, 0.6844, 0.8495, 1.1505, 0.8495, 0.7012], q:[0.8579, 0.3919], qb:[0.4576, 0.7586], phi:[0.3835]] | t^2.053 + t^2.104 + t^2.25 + t^2.301 + t^2.351 + 2*t^2.549 + t^3.502 + t^3.699 + t^4.106 + t^4.157 + t^4.207 + t^4.304 + 2*t^4.354 + 2*t^4.405 + t^4.455 + t^4.501 + t^4.551 + 4*t^4.602 + 3*t^4.652 + t^4.703 + 2*t^4.799 + 3*t^4.85 + 2*t^4.9 + 3*t^5.097 + t^5.555 + t^5.606 + t^5.752 + t^5.803 + t^5.853 - 2*t^6. - t^4.15/y - t^4.15*y | detail |