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 |
|---|---|---|---|---|---|---|---|---|---|
| 47875 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.1107 | 1.2278 | 0.9046 | [X:[1.5211], q:[0.8803, 0.4014], qb:[0.8803, 0.4014], phi:[0.2394]] | [X:[[0, 0, 2]], q:[[-1, 0, 1], [0, -1, 5]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{2}$ | -2 | t^2.155 + t^2.408 + t^3.127 + 3*t^3.845 + t^4.31 + 2*t^4.563 + t^4.817 + 2*t^5.282 + t^5.535 + 4*t^5.768 - 2*t^6. + 4*t^6.253 + t^6.465 + t^6.718 + 5*t^6.972 + t^7.225 - t^7.437 + 8*t^7.69 + t^7.944 + 4*t^8.176 + 2*t^8.408 + t^8.62 - 4*t^8.641 + 4*t^8.662 + 4*t^8.894 + t^8.155/y^2 - t^8.873/y^2 - t^3.718/y - t^4.437/y - t^5.873/y - t^6.127/y - t^6.592/y - t^6.845/y - (2*t^7.563)/y - t^8.028/y - t^8.747/y - t^3.718*y - t^4.437*y - t^5.873*y - t^6.127*y - t^6.592*y - t^6.845*y - 2*t^7.563*y - t^8.028*y - t^8.747*y + t^8.155*y^2 - t^8.873*y^2 | t^2.155/g3^3 + g3^5*t^2.408 + g3^4*t^3.127 + (g2*g3*t^3.845)/g1 + g3^3*t^3.845 + (g1*g3^5*t^3.845)/g2 + t^4.31/g3^6 + 2*g3^2*t^4.563 + g3^10*t^4.817 + 2*g3*t^5.282 + g3^9*t^5.535 + (g2^3*t^5.768)/g3^3 + (g1*g2^2*t^5.768)/g3 + (g3^10*t^5.768)/(g1*g2^2) + (g3^12*t^5.768)/g2^3 - 2*t^6. + (g2*g3^6*t^6.253)/g1 + 2*g3^8*t^6.253 + (g1*g3^10*t^6.253)/g2 + t^6.465/g3^9 + t^6.718/g3 + (g2*g3^5*t^6.972)/g1 + 3*g3^7*t^6.972 + (g1*g3^9*t^6.972)/g2 + g3^15*t^7.225 - (g1*t^7.437)/g2 - (g2*t^7.437)/(g1*g3^4) + t^7.437/g3^2 + (g2^2*g3^2*t^7.69)/g1^2 + (g2*g3^4*t^7.69)/g1 + 4*g3^6*t^7.69 + (g1*g3^8*t^7.69)/g2 + (g1^2*g3^10*t^7.69)/g2^2 + g3^14*t^7.944 + g2^3*g3^2*t^8.176 + g1*g2^2*g3^4*t^8.176 + (g3^15*t^8.176)/(g1*g2^2) + (g3^17*t^8.176)/g2^3 + (g2*g3^3*t^8.408)/g1 + (g1*g3^7*t^8.408)/g2 + t^8.62/g3^12 - (g2^3*t^8.641)/g3^7 - (g1*g2^2*t^8.641)/g3^5 - (g3^6*t^8.641)/(g1*g2^2) - (g3^8*t^8.641)/g2^3 + (g2*g3^11*t^8.662)/g1 + 2*g3^13*t^8.662 + (g1*g3^15*t^8.662)/g2 + g2^3*g3*t^8.894 + g1*g2^2*g3^3*t^8.894 + (g3^14*t^8.894)/(g1*g2^2) + (g3^16*t^8.894)/g2^3 + t^8.155/(g3^3*y^2) - t^8.873/(g3^4*y^2) - t^3.718/(g3*y) - t^4.437/(g3^2*y) - t^5.873/(g3^4*y) - (g3^4*t^6.127)/y - t^6.592/(g3^5*y) - (g3^3*t^6.845)/y - (g2*t^7.563)/(g1*y) - (g1*g3^4*t^7.563)/(g2*y) - t^8.028/(g3^7*y) - t^8.747/(g3^8*y) - (t^3.718*y)/g3 - (t^4.437*y)/g3^2 - (t^5.873*y)/g3^4 - g3^4*t^6.127*y - (t^6.592*y)/g3^5 - g3^3*t^6.845*y - (g2*t^7.563*y)/g1 - (g1*g3^4*t^7.563*y)/g2 - (t^8.028*y)/g3^7 - (t^8.747*y)/g3^8 + (t^8.155*y^2)/g3^3 - (t^8.873*y^2)/g3^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 47952 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.1309 | 1.2646 | 0.8942 | [X:[1.5244], M:[0.7134], q:[0.8811, 0.4055], qb:[0.8811, 0.4055], phi:[0.2378]] | 2*t^2.14 + t^2.433 + t^3.146 + 2*t^3.86 + 3*t^4.28 + 3*t^4.573 + t^4.866 + 3*t^5.287 + t^5.579 + 4*t^5.79 - t^6. - t^3.713/y - t^4.427/y - (2*t^5.854)/y - t^3.713*y - t^4.427*y - 2*t^5.854*y | detail | |
| 47934 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.0906 | 1.192 | 0.915 | [X:[1.5172], M:[1.2758], q:[0.8793, 0.3965], qb:[0.8793, 0.3965], phi:[0.2414]] | t^2.379 + t^3.103 + 4*t^3.827 + t^4.552 + t^4.758 + t^5.276 + t^5.482 + 4*t^5.741 - 5*t^6. - t^3.724/y - t^4.448/y - t^3.724*y - t^4.448*y | detail | |
| 47916 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.0956 | 1.1968 | 0.9155 | [X:[1.5377], M:[1.1558], q:[0.8844, 0.4221], qb:[0.8844, 0.4221], phi:[0.2312]] | t^2.08 + t^3.226 + t^3.467 + 3*t^3.92 + t^4.161 + t^4.613 + 2*t^5.307 + t^5.548 + 4*t^5.879 - 2*t^6. - t^3.693/y - t^4.387/y - t^5.774/y - t^3.693*y - t^4.387*y - t^5.774*y | detail | |
| 47949 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0833 | 1.1667 | 0.9286 | [X:[1.5556, 1.3333], q:[0.8889, 0.4444], qb:[0.8889, 0.4444], phi:[0.2222]] | t^2.667 + t^3.333 + 4*t^4. + t^4.667 + 2*t^5.333 - t^3.667/y - t^4.333/y - t^3.667*y - t^4.333*y | detail | {a: 13/12, c: 7/6, X1: 14/9, X2: 4/3, q1: 8/9, q2: 4/9, qb1: 8/9, qb2: 4/9, phi1: 2/9} |
| 47880 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | 1.1092 | 1.2232 | 0.9068 | [X:[1.5292], q:[0.8823, 0.3918], qb:[0.8823, 0.4313], phi:[0.2354]] | t^2.118 + t^2.469 + t^3.175 + t^3.822 + t^3.882 + t^3.941 + t^4.237 + 2*t^4.588 + t^4.939 + 2*t^5.294 + 2*t^5.645 + t^5.704 + t^5.941 - t^6. - t^3.706/y - t^4.412/y - t^5.825/y - t^3.706*y - t^4.412*y - t^5.825*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47866 | SU3adj1nf2 | ${}$ | 1.4743 | 1.6854 | 0.8748 | [q:[0.4934, 0.4934], qb:[0.4934, 0.4934], phi:[0.3377]] | t^2.026 + 4*t^2.96 + t^3.04 + 4*t^3.974 + t^4.053 + 8*t^4.987 + t^5.066 + 4*t^5.454 + 10*t^5.921 - t^4.013/y - t^5.026/y - t^4.013*y - t^5.026*y | detail |