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 |
|---|---|---|---|---|---|---|---|---|---|
| 4564 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}X_{1}$ | 0.6474 | 0.8156 | 0.7938 | [X:[1.3897], M:[0.9108, 0.9296, 1.0704, 0.77, 1.23, 0.6103, 0.9296, 0.77], q:[0.6244, 0.4648], qb:[0.3052, 0.7653], phi:[0.4601]] | [X:[[14]], M:[[-34], [18], [-18], [2], [-2], [-14], [18], [2]], q:[[25], [9]], qb:[[-7], [-11]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{8}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | -1 | 2*t^2.31 + t^2.733 + t^2.761 + 2*t^2.789 + t^3.211 + t^3.69 + 3*t^4.169 + t^4.592 + 2*t^4.62 + t^4.648 + t^5.042 + 3*t^5.07 + 3*t^5.099 + t^5.127 + t^5.465 + t^5.493 + 3*t^5.521 + 3*t^5.549 + 2*t^5.577 + t^5.944 + 2*t^5.972 - t^6. + 3*t^6.479 + 2*t^6.901 + 4*t^6.93 + 5*t^6.958 + t^7.324 + t^7.352 + 4*t^7.38 + 2*t^7.408 + 3*t^7.436 + t^7.775 + 2*t^7.803 + 2*t^7.831 + 6*t^7.859 + 3*t^7.887 + 2*t^7.915 + t^8.198 + t^8.226 + 3*t^8.254 + 5*t^8.282 - 2*t^8.31 + 7*t^8.338 + t^8.366 + t^8.676 + 2*t^8.704 - t^8.733 - 6*t^8.789 + 2*t^8.817 - t^4.38/y - t^6.69/y - t^7.113/y - t^7.141/y - t^7.169/y + t^7.592/y + (2*t^7.62)/y + t^7.648/y + (2*t^8.042)/y + (3*t^8.07)/y + (4*t^8.099)/y + t^8.493/y + (4*t^8.521)/y + (2*t^8.549)/y + t^8.577/y + t^8.944/y + t^8.972/y - t^4.38*y - t^6.69*y - t^7.113*y - t^7.141*y - t^7.169*y + t^7.592*y + 2*t^7.62*y + t^7.648*y + 2*t^8.042*y + 3*t^8.07*y + 4*t^8.099*y + t^8.493*y + 4*t^8.521*y + 2*t^8.549*y + t^8.577*y + t^8.944*y + t^8.972*y | 2*g1^2*t^2.31 + t^2.733/g1^34 + t^2.761/g1^8 + 2*g1^18*t^2.789 + t^3.211/g1^18 + t^3.69/g1^2 + 3*g1^14*t^4.169 + t^4.592/g1^22 + 2*g1^4*t^4.62 + g1^30*t^4.648 + t^5.042/g1^32 + (3*t^5.07)/g1^6 + 3*g1^20*t^5.099 + g1^46*t^5.127 + t^5.465/g1^68 + t^5.493/g1^42 + (3*t^5.521)/g1^16 + 3*g1^10*t^5.549 + 2*g1^36*t^5.577 + t^5.944/g1^52 + (2*t^5.972)/g1^26 - t^6. + 3*g1^16*t^6.479 + (2*t^6.901)/g1^20 + 4*g1^6*t^6.93 + 5*g1^32*t^6.958 + t^7.324/g1^56 + t^7.352/g1^30 + (4*t^7.38)/g1^4 + 2*g1^22*t^7.408 + 3*g1^48*t^7.436 + t^7.775/g1^66 + (2*t^7.803)/g1^40 + (2*t^7.831)/g1^14 + 6*g1^12*t^7.859 + 3*g1^38*t^7.887 + 2*g1^64*t^7.915 + t^8.198/g1^102 + t^8.226/g1^76 + (3*t^8.254)/g1^50 + (5*t^8.282)/g1^24 - 2*g1^2*t^8.31 + 7*g1^28*t^8.338 + g1^54*t^8.366 + t^8.676/g1^86 + (2*t^8.704)/g1^60 - t^8.733/g1^34 - 6*g1^18*t^8.789 + 2*g1^44*t^8.817 - t^4.38/(g1^4*y) - t^6.69/(g1^2*y) - t^7.113/(g1^38*y) - t^7.141/(g1^12*y) - (g1^14*t^7.169)/y + t^7.592/(g1^22*y) + (2*g1^4*t^7.62)/y + (g1^30*t^7.648)/y + (2*t^8.042)/(g1^32*y) + (3*t^8.07)/(g1^6*y) + (4*g1^20*t^8.099)/y + t^8.493/(g1^42*y) + (4*t^8.521)/(g1^16*y) + (2*g1^10*t^8.549)/y + (g1^36*t^8.577)/y + t^8.944/(g1^52*y) + t^8.972/(g1^26*y) - (t^4.38*y)/g1^4 - (t^6.69*y)/g1^2 - (t^7.113*y)/g1^38 - (t^7.141*y)/g1^12 - g1^14*t^7.169*y + (t^7.592*y)/g1^22 + 2*g1^4*t^7.62*y + g1^30*t^7.648*y + (2*t^8.042*y)/g1^32 + (3*t^8.07*y)/g1^6 + 4*g1^20*t^8.099*y + (t^8.493*y)/g1^42 + (4*t^8.521*y)/g1^16 + 2*g1^10*t^8.549*y + g1^36*t^8.577*y + (t^8.944*y)/g1^52 + (t^8.972*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6062 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.6361 | 0.8058 | 0.7895 | [X:[1.3333], M:[1.0476, 0.8571, 1.1429, 0.7619, 1.2381, 0.6667, 0.8571, 0.7619], q:[0.5238, 0.4286], qb:[0.3333, 0.8095], phi:[0.4762]] | 2*t^2.286 + 2*t^2.571 + t^2.857 + t^3.143 + t^3.429 + t^3.714 + 3*t^4. + t^4.286 + 3*t^4.571 + 4*t^4.857 + 5*t^5.143 + 4*t^5.429 + 3*t^5.714 - t^4.429/y - t^4.429*y | detail | {a: 3491/5488, c: 2211/2744, X1: 4/3, M1: 22/21, M2: 6/7, M3: 8/7, M4: 16/21, M5: 26/21, M6: 2/3, M7: 6/7, M8: 16/21, q1: 11/21, q2: 3/7, qb1: 1/3, qb2: 17/21, phi1: 10/21} |
| 6061 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{1}^{2}$ | 0.6426 | 0.8117 | 0.7917 | [X:[1.3529], M:[1.0, 0.8824, 1.1176, 0.7647, 1.2353, 0.6471, 0.8824, 0.7647], q:[0.5588, 0.4412], qb:[0.3235, 0.7941], phi:[0.4706]] | 2*t^2.294 + 2*t^2.647 + t^2.824 + t^3. + t^3.353 + t^3.706 + 3*t^4.059 + t^4.412 + 2*t^4.588 + 2*t^4.765 + 3*t^4.941 + 3*t^5.118 + 3*t^5.294 + 3*t^5.471 + 3*t^5.647 + t^5.824 - t^4.412/y - t^4.412*y | detail | {a: 25257/39304, c: 3988/4913, X1: 23/17, M1: 1, M2: 15/17, M3: 19/17, M4: 13/17, M5: 21/17, M6: 11/17, M7: 15/17, M8: 13/17, q1: 19/34, q2: 15/34, qb1: 11/34, qb2: 27/34, phi1: 8/17} |
| 6065 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{2}M_{9}$ | 0.6419 | 0.8065 | 0.7959 | [X:[1.406], M:[0.8711, 0.9506, 1.0494, 0.7723, 1.2277, 0.594, 0.9506, 0.7723, 1.0494], q:[0.6536, 0.4753], qb:[0.297, 0.7524], phi:[0.4554]] | 2*t^2.317 + t^2.613 + t^2.733 + t^2.852 + 2*t^3.148 + t^3.683 + 3*t^4.218 + t^4.514 + 2*t^4.634 + t^4.753 + t^4.93 + 3*t^5.049 + t^5.169 + t^5.226 + t^5.288 + t^5.346 + 4*t^5.465 + 2*t^5.584 + 2*t^5.761 + 3*t^5.881 - t^6. - t^4.366/y - t^4.366*y | detail | |
| 6068 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{3}M_{9}$ | 0.6548 | 0.829 | 0.7899 | [X:[1.3741], M:[0.9487, 0.9095, 1.0905, 0.7677, 1.2323, 0.6259, 0.9095, 0.7677, 0.9095], q:[0.5965, 0.4548], qb:[0.313, 0.7775], phi:[0.4646]] | 2*t^2.303 + 3*t^2.729 + t^2.787 + t^2.846 + t^3.697 + 3*t^4.122 + t^4.548 + 2*t^4.606 + t^4.665 + t^4.973 + 5*t^5.032 + 3*t^5.09 + t^5.149 + 5*t^5.457 + 4*t^5.516 + 2*t^5.575 + t^5.633 + t^5.692 - 3*t^6. - t^4.394/y - t^4.394*y | detail | |
| 6064 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{4}M_{9}$ | 0.6293 | 0.783 | 0.8037 | [X:[1.3906], M:[0.9085, 0.9308, 1.0692, 0.7701, 1.2299, 0.6094, 0.9308, 0.7701, 1.2299], q:[0.6261, 0.4654], qb:[0.3047, 0.7645], phi:[0.4598]] | t^2.31 + t^2.725 + t^2.759 + 2*t^2.792 + t^3.208 + 2*t^3.69 + 3*t^4.172 + t^4.587 + t^4.654 + 2*t^5.069 + t^5.103 + t^5.136 + t^5.451 + t^5.484 + 2*t^5.518 + 3*t^5.551 + 2*t^5.585 + t^5.933 + 2*t^5.966 - t^6. - t^4.379/y - t^4.379*y | detail | |
| 6071 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6656 | 0.8481 | 0.7848 | [X:[1.3887], M:[0.9132, 0.9283, 1.0717, 0.7698, 1.2302, 0.6113, 0.9283, 0.7698, 0.7698], q:[0.6226, 0.4641], qb:[0.3057, 0.766], phi:[0.4604]] | 3*t^2.309 + t^2.74 + t^2.762 + 2*t^2.785 + t^3.215 + 3*t^4.166 + t^4.596 + 5*t^4.619 + t^4.641 + 2*t^5.049 + 4*t^5.072 + 5*t^5.094 + t^5.117 + t^5.479 + t^5.502 + 4*t^5.525 + 3*t^5.547 + 2*t^5.57 + t^5.955 + 2*t^5.977 - 3*t^6. - t^4.381/y - t^4.381*y | detail | |
| 6060 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6189 | 0.7847 | 0.7888 | [X:[1.4783], M:[0.6957, 1.0435, 0.9565, 0.7826, 1.2174, 0.5217, 1.0435, 0.7826], q:[0.7826, 0.5217], qb:[0.2609, 0.6957], phi:[0.4348]] | t^2.087 + 2*t^2.348 + t^2.609 + t^2.87 + 2*t^3.13 + t^3.652 + 2*t^4.174 + 4*t^4.435 + 3*t^4.696 + 4*t^4.957 + 4*t^5.217 + 5*t^5.478 + 3*t^5.739 - t^4.304/y - t^4.304*y | detail | {a: 120489/194672, c: 76379/97336, X1: 34/23, M1: 16/23, M2: 24/23, M3: 22/23, M4: 18/23, M5: 28/23, M6: 12/23, M7: 24/23, M8: 18/23, q1: 18/23, q2: 12/23, qb1: 6/23, qb2: 16/23, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2515 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ | 0.7393 | 0.93 | 0.7949 | [M:[0.8552, 1.0409, 0.9591, 0.937, 1.063, 0.8332, 0.6928, 0.937], q:[0.6243, 0.5205], qb:[0.4166, 0.5425], phi:[0.474]] | t^2.078 + t^2.5 + t^2.566 + 2*t^2.811 + t^2.844 + t^2.877 + t^3.123 + t^4.157 + t^4.233 + t^4.299 + 2*t^4.545 + t^4.578 + t^4.611 + t^4.644 + t^4.677 + t^4.856 + 2*t^4.889 + 2*t^4.923 + t^4.956 + t^4.999 + t^5.065 + t^5.131 + t^5.168 + t^5.201 + 2*t^5.311 + t^5.344 + 2*t^5.377 + t^5.41 + t^5.443 + 3*t^5.622 + 2*t^5.655 + 2*t^5.688 + t^5.721 + t^5.934 + t^5.967 - 3*t^6. - t^4.422/y - t^4.422*y | detail |