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 |
|---|---|---|---|---|---|---|---|---|---|
| 55919 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}X_{1}$ | 0.5999 | 0.7526 | 0.7972 | [X:[1.4424], M:[1.2558, 0.8849, 0.7442, 0.977, 0.5576, 1.023], q:[0.4885, 0.2558], qb:[0.6266, 0.7673], phi:[0.4655]] | [X:[[10]], M:[[-1], [20], [1], [4], [-10], [-4]], q:[[2], [-1]], qb:[[-22], [-3]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$ | ${}$ | -1 | t^2.233 + t^2.647 + t^2.655 + t^2.793 + t^2.931 + t^3.069 + t^3.629 + t^3.767 + t^4.044 + t^4.182 + t^4.327 + t^4.465 + t^4.742 + t^4.88 + t^5.025 + t^5.156 + t^5.164 + t^5.294 + t^5.302 + t^5.309 + t^5.44 + t^5.447 + t^5.578 + t^5.586 + t^5.716 + 2*t^5.724 + 2*t^5.862 - t^6. + t^6.276 + t^6.422 + 2*t^6.56 + t^6.691 + t^6.698 + t^6.829 + t^6.836 + 2*t^6.975 + t^7.113 + t^7.12 + 2*t^7.258 + t^7.389 + t^7.396 + t^7.527 + t^7.673 + t^7.803 + 2*t^7.811 + t^7.942 + 2*t^7.949 + 2*t^7.956 + t^7.964 + 2*t^8.087 + 2*t^8.095 + t^8.102 + 2*t^8.225 - t^8.233 + 2*t^8.24 + t^8.364 + t^8.371 + 2*t^8.378 + 2*t^8.509 + t^8.516 - 2*t^8.647 + t^8.655 + 2*t^8.924 - 3*t^8.931 - t^4.396/y - t^7.051/y - t^7.189/y + t^7.604/y + t^7.742/y + t^7.88/y + t^7.887/y + t^8.025/y + t^8.164/y + (2*t^8.302)/y + t^8.44/y + t^8.447/y + t^8.578/y + t^8.586/y + t^8.716/y + (2*t^8.724)/y + (2*t^8.862)/y - t^4.396*y - t^7.051*y - t^7.189*y + t^7.604*y + t^7.742*y + t^7.88*y + t^7.887*y + t^8.025*y + t^8.164*y + 2*t^8.302*y + t^8.44*y + t^8.447*y + t^8.578*y + t^8.586*y + t^8.716*y + 2*t^8.724*y + 2*t^8.862*y | g1*t^2.233 + t^2.647/g1^23 + g1^20*t^2.655 + g1^12*t^2.793 + g1^4*t^2.931 + t^3.069/g1^4 + g1^7*t^3.629 + t^3.767/g1 + t^4.044/g1^17 + t^4.182/g1^25 + g1^10*t^4.327 + g1^2*t^4.465 + t^4.742/g1^14 + t^4.88/g1^22 + g1^13*t^5.025 + t^5.156/g1^38 + g1^5*t^5.164 + t^5.294/g1^46 + t^5.302/g1^3 + g1^40*t^5.309 + t^5.44/g1^11 + g1^32*t^5.447 + t^5.578/g1^19 + g1^24*t^5.586 + t^5.716/g1^27 + 2*g1^16*t^5.724 + 2*g1^8*t^5.862 - t^6. + t^6.276/g1^16 + g1^19*t^6.422 + 2*g1^11*t^6.56 + t^6.691/g1^40 + g1^3*t^6.698 + t^6.829/g1^48 + t^6.836/g1^5 + (2*t^6.975)/g1^13 + t^7.113/g1^21 + g1^22*t^7.12 + 2*g1^14*t^7.258 + t^7.389/g1^37 + g1^6*t^7.396 + t^7.527/g1^45 + t^7.673/g1^10 + t^7.803/g1^61 + (2*t^7.811)/g1^18 + t^7.942/g1^69 + (2*t^7.949)/g1^26 + 2*g1^17*t^7.956 + g1^60*t^7.964 + (2*t^8.087)/g1^34 + 2*g1^9*t^8.095 + g1^52*t^8.102 + (2*t^8.225)/g1^42 - g1*t^8.233 + 2*g1^44*t^8.24 + t^8.364/g1^50 + t^8.371/g1^7 + 2*g1^36*t^8.378 + (2*t^8.509)/g1^15 + g1^28*t^8.516 - (2*t^8.647)/g1^23 + g1^20*t^8.655 + (2*t^8.924)/g1^39 - 3*g1^4*t^8.931 - (g1^6*t^4.396)/y - (g1^26*t^7.051)/y - (g1^18*t^7.189)/y + t^7.604/(g1^6*y) + t^7.742/(g1^14*y) + t^7.88/(g1^22*y) + (g1^21*t^7.887)/y + (g1^13*t^8.025)/y + (g1^5*t^8.164)/y + (2*t^8.302)/(g1^3*y) + t^8.44/(g1^11*y) + (g1^32*t^8.447)/y + t^8.578/(g1^19*y) + (g1^24*t^8.586)/y + t^8.716/(g1^27*y) + (2*g1^16*t^8.724)/y + (2*g1^8*t^8.862)/y - g1^6*t^4.396*y - g1^26*t^7.051*y - g1^18*t^7.189*y + (t^7.604*y)/g1^6 + (t^7.742*y)/g1^14 + (t^7.88*y)/g1^22 + g1^21*t^7.887*y + g1^13*t^8.025*y + g1^5*t^8.164*y + (2*t^8.302*y)/g1^3 + (t^8.44*y)/g1^11 + g1^32*t^8.447*y + (t^8.578*y)/g1^19 + g1^24*t^8.586*y + (t^8.716*y)/g1^27 + 2*g1^16*t^8.724*y + 2*g1^8*t^8.862*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 |
|---|---|---|---|---|---|---|---|---|
| 57551 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{1}M_{7}$ | 0.6192 | 0.7878 | 0.786 | [X:[1.442], M:[1.2558, 0.8839, 0.7442, 0.9768, 0.558, 1.0232, 0.7442], q:[0.4884, 0.2558], qb:[0.6277, 0.7674], phi:[0.4652]] | 2*t^2.233 + t^2.651 + t^2.652 + t^2.791 + t^2.93 + t^3.07 + t^3.628 + t^4.046 + t^4.185 + t^4.326 + 3*t^4.465 + t^4.744 + 2*t^4.883 + t^4.884 + 2*t^5.024 + t^5.162 + 2*t^5.163 + t^5.301 + 2*t^5.302 + t^5.303 + t^5.442 + t^5.443 + t^5.581 + t^5.582 + t^5.72 + 2*t^5.721 + 3*t^5.861 - 2*t^6. - t^4.396/y - t^4.396*y | detail | |
| 57547 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{4}M_{7}$ | 0.5978 | 0.7494 | 0.7977 | [X:[1.4471], M:[1.2553, 0.8941, 0.7447, 0.9788, 0.5529, 1.0212, 1.0212], q:[0.4894, 0.2553], qb:[0.6165, 0.7659], phi:[0.4682]] | t^2.234 + t^2.615 + t^2.682 + t^2.809 + 2*t^3.064 + t^3.639 + t^3.766 + t^4.02 + t^4.147 + t^4.341 + t^4.468 + t^4.722 + t^4.849 + t^5.044 + t^5.103 + t^5.231 + 2*t^5.298 + t^5.365 + t^5.425 + t^5.492 + 2*t^5.679 + 2*t^5.746 + 2*t^5.873 - 2*t^6. - t^4.405/y - t^4.405*y | detail | |
| 57549 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{6}M_{7}$ | 0.6021 | 0.7561 | 0.7964 | [X:[1.4378], M:[1.2562, 0.8755, 0.7438, 0.9751, 0.5622, 1.0249, 0.9751], q:[0.4876, 0.2562], qb:[0.6369, 0.7687], phi:[0.4627]] | t^2.231 + t^2.627 + t^2.68 + t^2.776 + 2*t^2.925 + t^3.619 + t^3.769 + t^4.067 + t^4.217 + t^4.313 + t^4.463 + t^4.761 + t^4.911 + t^5.007 + 2*t^5.157 + t^5.21 + t^5.253 + t^5.359 + t^5.402 + t^5.455 + 2*t^5.552 + 2*t^5.605 + 2*t^5.701 + 3*t^5.851 - 2*t^6. - t^4.388/y - t^4.388*y | detail | |
| 57582 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.5951 | 0.7456 | 0.7982 | [X:[1.4074], M:[1.2593, 0.8148, 0.7407, 0.963, 0.5926, 1.037], q:[0.4815, 0.2593], qb:[0.7037, 0.7778], phi:[0.4444]] | t^2.222 + t^2.444 + t^2.667 + 2*t^2.889 + t^3.111 + t^3.556 + t^3.778 + 2*t^4.222 + 2*t^4.444 + 3*t^4.889 + 3*t^5.111 + 2*t^5.333 + 4*t^5.556 + 4*t^5.778 - t^4.333/y - t^4.333*y | detail | {a: 20825/34992, c: 13045/17496, X1: 38/27, M1: 34/27, M2: 22/27, M3: 20/27, M4: 26/27, M5: 16/27, M6: 28/27, q1: 13/27, q2: 7/27, qb1: 19/27, qb2: 7/9, phi1: 4/9} |
| 57550 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6171 | 0.7833 | 0.7877 | [X:[1.4472], M:[1.2553, 0.8945, 0.7447, 0.9789, 0.5528, 1.0211, 0.7869], q:[0.4894, 0.2553], qb:[0.6161, 0.7658], phi:[0.4683]] | t^2.234 + t^2.361 + t^2.614 + t^2.683 + t^2.81 + t^2.937 + t^3.063 + t^3.766 + t^4.019 + t^4.146 + t^4.342 + t^4.468 + t^4.595 + 2*t^4.722 + t^4.848 + t^4.975 + 2*t^5.044 + t^5.101 + 2*t^5.171 + t^5.228 + 2*t^5.297 + t^5.367 + 2*t^5.424 + t^5.494 + t^5.551 + t^5.62 + t^5.677 + 2*t^5.747 + t^5.873 - t^6. - t^4.405/y - t^4.405*y | detail | |
| 57545 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.5919 | 0.7394 | 0.8005 | [X:[1.4153], M:[1.2585, 0.8306, 0.7415, 0.9661, 0.5847, 1.0339, 1.0551], q:[0.4831, 0.2585], qb:[0.6864, 0.7754], phi:[0.4492]] | t^2.225 + t^2.492 + t^2.695 + t^2.898 + t^3.102 + t^3.165 + t^3.572 + t^3.775 + t^4.182 + t^4.246 + t^4.385 + t^4.449 + t^4.856 + t^4.92 + t^4.983 + t^5.123 + t^5.187 + 2*t^5.39 + t^5.466 + 2*t^5.593 + t^5.657 + 2*t^5.797 + t^5.86 - t^6. - t^4.348/y - t^4.348*y | detail | |
| 57659 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.5899 | 0.7394 | 0.7979 | [X:[1.3913], M:[1.2609, 0.7826, 0.7391, 0.9565, 0.6087, 1.0435], q:[0.4783, 0.2609], qb:[0.7391, 0.7826], phi:[0.4348]] | t^2.217 + t^2.348 + t^2.609 + t^2.87 + t^3. + t^3.13 + t^3.522 + t^3.783 + t^4.174 + t^4.304 + t^4.435 + t^4.565 + t^4.696 + t^4.826 + 2*t^4.957 + t^5.087 + 2*t^5.217 + t^5.348 + 2*t^5.478 + t^5.609 + 3*t^5.739 + t^5.87 - t^4.304/y - t^4.304*y | detail | {a: 114837/194672, c: 35983/48668, X1: 32/23, M1: 29/23, M2: 18/23, M3: 17/23, M4: 22/23, M5: 14/23, M6: 24/23, q1: 11/23, q2: 6/23, qb1: 17/23, qb2: 18/23, phi1: 10/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 48167 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7001 | 0.8886 | 0.7878 | [M:[1.1679, 1.0164, 0.8321, 0.7865, 0.7628, 0.6715], q:[0.3932, 0.4389], qb:[0.5903, 0.7746], phi:[0.4507]] | t^2.015 + t^2.288 + t^2.359 + t^2.496 + t^2.704 + t^3.049 + t^3.088 + t^3.504 + t^3.849 + t^4.029 + t^4.095 + 2*t^4.303 + t^4.374 + t^4.44 + t^4.511 + t^4.577 + t^4.648 + 2*t^4.719 + t^4.785 + t^4.856 + t^4.894 + 2*t^4.993 + 2*t^5.064 + t^5.102 + t^5.201 + t^5.338 + t^5.376 + t^5.409 + t^5.447 + t^5.518 + t^5.584 + t^5.754 + 2*t^5.792 + t^5.863 - 2*t^6. - t^4.352/y - t^4.352*y | detail |