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 |
|---|---|---|---|---|---|---|---|---|---|
| 3063 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6268 | 0.8143 | 0.7698 | [M:[1.0, 1.0237, 0.9526, 1.2559, 0.6967, 0.7441, 0.7678], q:[0.2441, 0.7559], qb:[0.5, 0.5474], phi:[0.4882]] | [M:[[0], [4], [-8], [1], [-9], [-1], [3]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{2}q_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.09 + t^2.232 + t^2.303 + t^2.374 + t^2.858 + t^2.929 + t^3. + t^3.071 + t^3.768 + t^3.839 + t^4.18 + t^4.322 + t^4.393 + 3*t^4.464 + t^4.536 + 3*t^4.607 + t^4.678 + 2*t^4.749 + t^4.948 + t^5.019 + t^5.09 + 3*t^5.161 + 2*t^5.232 + 3*t^5.303 + 2*t^5.374 + t^5.446 + t^5.716 + t^5.787 + 2*t^5.858 + 2*t^5.929 - t^6. + 2*t^6.071 + t^6.142 + t^6.213 + t^6.27 + t^6.412 + t^6.483 + 2*t^6.554 + t^6.626 + 4*t^6.697 + 2*t^6.768 + 5*t^6.839 + 2*t^6.91 + 3*t^6.981 + t^7.038 + 2*t^7.052 + t^7.109 + 2*t^7.123 + t^7.18 + 3*t^7.251 + 2*t^7.322 + 4*t^7.393 + 3*t^7.464 + 4*t^7.536 + 4*t^7.607 + 5*t^7.678 + 2*t^7.749 + t^7.806 + t^7.82 + t^7.877 + 2*t^7.948 + 3*t^8.019 + 3*t^8.161 + t^8.232 + t^8.36 - t^8.374 + t^8.446 + t^8.502 + t^8.517 + 2*t^8.573 + 2*t^8.588 + 3*t^8.645 + 3*t^8.716 + 5*t^8.787 - t^8.858 + 3*t^8.929 - t^4.464/y - t^6.554/y - t^6.768/y + t^7.393/y + t^7.464/y + t^7.536/y + (2*t^7.607)/y + t^7.678/y + t^7.948/y + t^8.019/y + (2*t^8.09)/y + (4*t^8.161)/y + (3*t^8.232)/y + (3*t^8.303)/y + (3*t^8.374)/y + t^8.446/y - t^8.645/y + t^8.787/y + t^8.858/y + (3*t^8.929)/y - t^4.464*y - t^6.554*y - t^6.768*y + t^7.393*y + t^7.464*y + t^7.536*y + 2*t^7.607*y + t^7.678*y + t^7.948*y + t^8.019*y + 2*t^8.09*y + 4*t^8.161*y + 3*t^8.232*y + 3*t^8.303*y + 3*t^8.374*y + t^8.446*y - t^8.645*y + t^8.787*y + t^8.858*y + 3*t^8.929*y | t^2.09/g1^9 + t^2.232/g1 + g1^3*t^2.303 + g1^7*t^2.374 + t^2.858/g1^8 + t^2.929/g1^4 + t^3. + g1^4*t^3.071 + g1*t^3.768 + g1^5*t^3.839 + t^4.18/g1^18 + t^4.322/g1^10 + t^4.393/g1^6 + (3*t^4.464)/g1^2 + g1^2*t^4.536 + 3*g1^6*t^4.607 + g1^10*t^4.678 + 2*g1^14*t^4.749 + t^4.948/g1^17 + t^5.019/g1^13 + t^5.09/g1^9 + (3*t^5.161)/g1^5 + (2*t^5.232)/g1 + 3*g1^3*t^5.303 + 2*g1^7*t^5.374 + g1^11*t^5.446 + t^5.716/g1^16 + t^5.787/g1^12 + (2*t^5.858)/g1^8 + (2*t^5.929)/g1^4 - t^6. + 2*g1^4*t^6.071 + g1^8*t^6.142 + g1^12*t^6.213 + t^6.27/g1^27 + t^6.412/g1^19 + t^6.483/g1^15 + (2*t^6.554)/g1^11 + t^6.626/g1^7 + (4*t^6.697)/g1^3 + 2*g1*t^6.768 + 5*g1^5*t^6.839 + 2*g1^9*t^6.91 + 3*g1^13*t^6.981 + t^7.038/g1^26 + 2*g1^17*t^7.052 + t^7.109/g1^22 + 2*g1^21*t^7.123 + t^7.18/g1^18 + (3*t^7.251)/g1^14 + (2*t^7.322)/g1^10 + (4*t^7.393)/g1^6 + (3*t^7.464)/g1^2 + 4*g1^2*t^7.536 + 4*g1^6*t^7.607 + 5*g1^10*t^7.678 + 2*g1^14*t^7.749 + t^7.806/g1^25 + g1^18*t^7.82 + t^7.877/g1^21 + (2*t^7.948)/g1^17 + (3*t^8.019)/g1^13 + (3*t^8.161)/g1^5 + t^8.232/g1 + t^8.36/g1^36 - g1^7*t^8.374 + g1^11*t^8.446 + t^8.502/g1^28 + g1^15*t^8.517 + (2*t^8.573)/g1^24 + 2*g1^19*t^8.588 + (3*t^8.645)/g1^20 + (3*t^8.716)/g1^16 + (5*t^8.787)/g1^12 - t^8.858/g1^8 + (3*t^8.929)/g1^4 - t^4.464/(g1^2*y) - t^6.554/(g1^11*y) - (g1*t^6.768)/y + t^7.393/(g1^6*y) + t^7.464/(g1^2*y) + (g1^2*t^7.536)/y + (2*g1^6*t^7.607)/y + (g1^10*t^7.678)/y + t^7.948/(g1^17*y) + t^8.019/(g1^13*y) + (2*t^8.09)/(g1^9*y) + (4*t^8.161)/(g1^5*y) + (3*t^8.232)/(g1*y) + (3*g1^3*t^8.303)/y + (3*g1^7*t^8.374)/y + (g1^11*t^8.446)/y - t^8.645/(g1^20*y) + t^8.787/(g1^12*y) + t^8.858/(g1^8*y) + (3*t^8.929)/(g1^4*y) - (t^4.464*y)/g1^2 - (t^6.554*y)/g1^11 - g1*t^6.768*y + (t^7.393*y)/g1^6 + (t^7.464*y)/g1^2 + g1^2*t^7.536*y + 2*g1^6*t^7.607*y + g1^10*t^7.678*y + (t^7.948*y)/g1^17 + (t^8.019*y)/g1^13 + (2*t^8.09*y)/g1^9 + (4*t^8.161*y)/g1^5 + (3*t^8.232*y)/g1 + 3*g1^3*t^8.303*y + 3*g1^7*t^8.374*y + g1^11*t^8.446*y - (t^8.645*y)/g1^20 + (t^8.787*y)/g1^12 + (t^8.858*y)/g1^8 + (3*t^8.929*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4968 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{8}$ | 0.6295 | 0.819 | 0.7686 | [M:[1.0, 1.0329, 0.9342, 1.2582, 0.676, 0.7418, 0.7747, 0.9671], q:[0.2418, 0.7582], qb:[0.5, 0.5658], phi:[0.4835]] | t^2.028 + t^2.225 + t^2.324 + t^2.423 + t^2.803 + 2*t^2.901 + t^3. + t^3.775 + t^3.873 + t^4.056 + t^4.253 + t^4.352 + 3*t^4.451 + t^4.549 + 3*t^4.648 + t^4.747 + t^4.83 + 2*t^4.846 + 2*t^4.929 + t^5.028 + 3*t^5.127 + 3*t^5.225 + 3*t^5.324 + t^5.423 + t^5.605 + 2*t^5.704 + 4*t^5.803 + 2*t^5.901 - 2*t^6. - t^4.451/y - t^4.451*y | detail | |
| 4966 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ | 0.5877 | 0.7468 | 0.787 | [X:[1.4545], M:[1.0, 1.0909, 0.8182, 1.2727, 0.5455, 0.7273, 0.8182], q:[0.2273, 0.7727], qb:[0.5, 0.6818], phi:[0.4545]] | t^2.182 + 2*t^2.455 + 2*t^2.727 + t^3. + t^3.273 + t^3.818 + t^4.091 + 3*t^4.364 + t^4.636 + 6*t^4.909 + 4*t^5.182 + 6*t^5.455 + 3*t^5.727 - t^6. - t^4.364/y - t^4.364*y | detail | {a: 3129/5324, c: 994/1331, X1: 16/11, M1: 1, M2: 12/11, M3: 9/11, M4: 14/11, M5: 6/11, M6: 8/11, M7: 9/11, q1: 5/22, q2: 17/22, qb1: 1/2, qb2: 15/22, phi1: 5/11} |
| 4963 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{3}X_{2}$ | 0.4782 | 0.597 | 0.8011 | [X:[1.7, 1.4], M:[1.0, 1.2, 0.6, 1.3, 0.3, 0.7, 0.9], q:[0.2, 0.8], qb:[0.5, 0.9], phi:[0.4]] | t^2.1 + t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + 3*t^4.2 + 2*t^4.5 + t^4.8 + t^5.1 + 3*t^5.4 + 2*t^5.7 - 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 15303/32000, c: 19103/32000, X1: 17/10, X2: 7/5, M1: 1, M2: 6/5, M3: 3/5, M4: 13/10, M5: 3/10, M6: 7/10, M7: 9/10, q1: 1/5, q2: 4/5, qb1: 1/2, qb2: 9/10, phi1: 2/5} |
| 4969 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.647 | 0.8522 | 0.7592 | [M:[1.0, 1.0269, 0.9462, 1.2567, 0.6895, 0.7433, 0.7702, 0.7164], q:[0.2433, 0.7567], qb:[0.5, 0.5538], phi:[0.4865]] | t^2.068 + t^2.149 + t^2.23 + t^2.311 + t^2.391 + t^2.839 + t^2.919 + t^3. + t^3.081 + t^3.77 + t^4.137 + t^4.217 + 2*t^4.298 + 2*t^4.379 + 4*t^4.46 + 2*t^4.54 + 3*t^4.621 + t^4.702 + 2*t^4.783 + t^4.907 + 2*t^4.988 + 2*t^5.068 + 4*t^5.149 + 3*t^5.23 + 3*t^5.311 + 2*t^5.391 + t^5.472 + t^5.677 + t^5.758 + 2*t^5.839 + 2*t^5.919 - t^6. - t^4.46/y - t^4.46*y | detail | |
| 4967 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.6251 | 0.8117 | 0.7701 | [M:[1.0, 1.0144, 0.9712, 1.2536, 0.7176, 0.7464, 0.7608, 1.0144], q:[0.2464, 0.7536], qb:[0.5, 0.5288], phi:[0.4928]] | t^2.153 + t^2.239 + t^2.282 + t^2.325 + t^2.914 + t^3. + 2*t^3.043 + t^3.761 + t^3.804 + t^4.306 + t^4.392 + t^4.435 + 3*t^4.478 + t^4.522 + 3*t^4.565 + t^4.608 + 2*t^4.651 + t^5.067 + t^5.153 + 3*t^5.196 + t^5.239 + 3*t^5.282 + 3*t^5.325 + 2*t^5.369 + t^5.827 + t^5.914 + 2*t^5.957 - 2*t^6. - t^4.478/y - t^4.478*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2015 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6087 | 0.7818 | 0.7785 | [M:[1.0, 1.0274, 0.9453, 1.2568, 0.6884, 0.7432], q:[0.2432, 0.7568], qb:[0.5, 0.5547], phi:[0.4863]] | t^2.065 + t^2.229 + t^2.394 + t^2.836 + t^2.918 + t^3. + t^3.082 + t^3.688 + t^3.771 + t^3.853 + t^4.13 + t^4.295 + 3*t^4.459 + 2*t^4.623 + 2*t^4.787 + t^4.901 + t^4.983 + t^5.065 + 2*t^5.147 + t^5.229 + 2*t^5.312 + t^5.394 + t^5.476 + t^5.672 + 2*t^5.754 + 2*t^5.836 + 3*t^5.918 - t^6. - t^4.459/y - t^4.459*y | detail |