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 |
|---|---|---|---|---|---|---|---|---|---|
| 3156 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6999 | 0.8874 | 0.7887 | [X:[1.3826], M:[1.0, 0.7878, 0.6174, 1.1704, 0.8296, 0.7653, 0.6817], q:[0.6061, 0.3939], qb:[0.7765, 0.4357], phi:[0.4469]] | [X:[[5]], M:[[0], [-8], [-5], [-3], [3], [10], [-12]], q:[[4], [-4]], qb:[[1], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }X_{1}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -1 | t^2.045 + t^2.296 + t^2.363 + t^2.489 + t^2.682 + t^3. + t^3.125 + t^3.511 + t^3.83 + t^4.09 + t^4.148 + 2*t^4.341 + t^4.408 + t^4.466 + t^4.534 + t^4.592 + t^4.659 + 2*t^4.727 + t^4.785 + t^4.852 + 3*t^4.977 + 2*t^5.045 + 2*t^5.17 + t^5.296 + t^5.363 + t^5.421 + t^5.489 + t^5.556 + t^5.614 + t^5.682 + 2*t^5.807 + t^5.875 - t^6. + t^6.125 + t^6.135 + 2*t^6.193 + t^6.251 + 2*t^6.386 + t^6.444 + t^6.453 + 2*t^6.511 + t^6.579 + 2*t^6.637 + t^6.704 + t^6.762 + 2*t^6.772 + 2*t^6.83 + t^6.887 + t^6.897 + 2*t^6.955 + 4*t^7.023 + t^7.08 + 3*t^7.09 + t^7.148 + 2*t^7.215 + 3*t^7.273 + 3*t^7.341 + 2*t^7.408 + 3*t^7.466 + 2*t^7.534 + 2*t^7.592 + t^7.601 + 4*t^7.659 + t^7.717 + 2*t^7.727 + 2*t^7.852 + t^7.91 + t^7.92 + 2*t^7.977 + 3*t^8.103 + t^8.17 + t^8.18 + 2*t^8.238 - t^8.363 + t^8.421 + 2*t^8.431 + t^8.489 + t^8.498 + t^8.547 + 2*t^8.556 + t^8.624 + 2*t^8.74 + t^8.749 + 2*t^8.807 + 2*t^8.817 + 2*t^8.875 + 3*t^8.932 + t^8.942 - t^4.341/y - t^6.386/y - t^6.637/y - t^6.704/y - t^7.023/y + t^7.341/y + t^7.408/y + t^7.534/y + (2*t^7.659)/y + t^7.727/y + t^7.785/y + t^7.852/y + (2*t^7.977)/y + (3*t^8.045)/y + (2*t^8.17)/y + (2*t^8.296)/y + t^8.363/y + t^8.421/y - t^8.431/y + (2*t^8.489)/y + t^8.556/y + t^8.614/y - t^8.749/y + (2*t^8.807)/y + (2*t^8.875)/y - t^8.932/y - t^4.341*y - t^6.386*y - t^6.637*y - t^6.704*y - t^7.023*y + t^7.341*y + t^7.408*y + t^7.534*y + 2*t^7.659*y + t^7.727*y + t^7.785*y + t^7.852*y + 2*t^7.977*y + 3*t^8.045*y + 2*t^8.17*y + 2*t^8.296*y + t^8.363*y + t^8.421*y - t^8.431*y + 2*t^8.489*y + t^8.556*y + t^8.614*y - t^8.749*y + 2*t^8.807*y + 2*t^8.875*y - t^8.932*y | t^2.045/g1^12 + g1^10*t^2.296 + t^2.363/g1^8 + g1^3*t^2.489 + t^2.682/g1^4 + t^3. + g1^11*t^3.125 + t^3.511/g1^3 + g1*t^3.83 + t^4.09/g1^24 + g1^5*t^4.148 + (2*t^4.341)/g1^2 + t^4.408/g1^20 + g1^9*t^4.466 + t^4.534/g1^9 + g1^20*t^4.592 + g1^2*t^4.659 + (2*t^4.727)/g1^16 + g1^13*t^4.785 + t^4.852/g1^5 + 3*g1^6*t^4.977 + (2*t^5.045)/g1^12 + (2*t^5.17)/g1 + g1^10*t^5.296 + t^5.363/g1^8 + g1^21*t^5.421 + g1^3*t^5.489 + t^5.556/g1^15 + g1^14*t^5.614 + t^5.682/g1^4 + 2*g1^7*t^5.807 + t^5.875/g1^11 - t^6. + g1^11*t^6.125 + t^6.135/g1^36 + (2*t^6.193)/g1^7 + g1^22*t^6.251 + (2*t^6.386)/g1^14 + g1^15*t^6.444 + t^6.453/g1^32 + (2*t^6.511)/g1^3 + t^6.579/g1^21 + 2*g1^8*t^6.637 + t^6.704/g1^10 + g1^19*t^6.762 + (2*t^6.772)/g1^28 + 2*g1*t^6.83 + g1^30*t^6.887 + t^6.897/g1^17 + 2*g1^12*t^6.955 + (4*t^7.023)/g1^6 + g1^23*t^7.08 + (3*t^7.09)/g1^24 + g1^5*t^7.148 + (2*t^7.215)/g1^13 + 3*g1^16*t^7.273 + (3*t^7.341)/g1^2 + (2*t^7.408)/g1^20 + 3*g1^9*t^7.466 + (2*t^7.534)/g1^9 + 2*g1^20*t^7.592 + t^7.601/g1^27 + 4*g1^2*t^7.659 + g1^31*t^7.717 + (2*t^7.727)/g1^16 + (2*t^7.852)/g1^5 + g1^24*t^7.91 + t^7.92/g1^23 + 2*g1^6*t^7.977 + 3*g1^17*t^8.103 + t^8.17/g1 + t^8.18/g1^48 + (2*t^8.238)/g1^19 - t^8.363/g1^8 + g1^21*t^8.421 + (2*t^8.431)/g1^26 + g1^3*t^8.489 + t^8.498/g1^44 + g1^32*t^8.547 + (2*t^8.556)/g1^15 + t^8.624/g1^33 + 2*g1^25*t^8.74 + t^8.749/g1^22 + 2*g1^7*t^8.807 + (2*t^8.817)/g1^40 + (2*t^8.875)/g1^11 + 3*g1^18*t^8.932 + t^8.942/g1^29 - t^4.341/(g1^2*y) - t^6.386/(g1^14*y) - (g1^8*t^6.637)/y - t^6.704/(g1^10*y) - t^7.023/(g1^6*y) + t^7.341/(g1^2*y) + t^7.408/(g1^20*y) + t^7.534/(g1^9*y) + (2*g1^2*t^7.659)/y + t^7.727/(g1^16*y) + (g1^13*t^7.785)/y + t^7.852/(g1^5*y) + (2*g1^6*t^7.977)/y + (3*t^8.045)/(g1^12*y) + (2*t^8.17)/(g1*y) + (2*g1^10*t^8.296)/y + t^8.363/(g1^8*y) + (g1^21*t^8.421)/y - t^8.431/(g1^26*y) + (2*g1^3*t^8.489)/y + t^8.556/(g1^15*y) + (g1^14*t^8.614)/y - t^8.749/(g1^22*y) + (2*g1^7*t^8.807)/y + (2*t^8.875)/(g1^11*y) - (g1^18*t^8.932)/y - (t^4.341*y)/g1^2 - (t^6.386*y)/g1^14 - g1^8*t^6.637*y - (t^6.704*y)/g1^10 - (t^7.023*y)/g1^6 + (t^7.341*y)/g1^2 + (t^7.408*y)/g1^20 + (t^7.534*y)/g1^9 + 2*g1^2*t^7.659*y + (t^7.727*y)/g1^16 + g1^13*t^7.785*y + (t^7.852*y)/g1^5 + 2*g1^6*t^7.977*y + (3*t^8.045*y)/g1^12 + (2*t^8.17*y)/g1 + 2*g1^10*t^8.296*y + (t^8.363*y)/g1^8 + g1^21*t^8.421*y - (t^8.431*y)/g1^26 + 2*g1^3*t^8.489*y + (t^8.556*y)/g1^15 + g1^14*t^8.614*y - (t^8.749*y)/g1^22 + 2*g1^7*t^8.807*y + (2*t^8.875*y)/g1^11 - g1^18*t^8.932*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 |
|---|---|---|---|---|---|---|---|---|
| 5028 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{8}$ | 0.683 | 0.8581 | 0.796 | [X:[1.3746], M:[1.0, 0.8007, 0.6254, 1.1753, 0.8247, 0.7491, 0.7011, 1.1993], q:[0.5996, 0.4004], qb:[0.7749, 0.4244], phi:[0.4502]] | t^2.103 + t^2.247 + t^2.474 + t^2.701 + t^3. + t^3.072 + t^3.526 + t^3.598 + t^3.825 + t^4.124 + t^4.206 + 2*t^4.351 + t^4.423 + t^4.495 + t^4.577 + t^4.722 + t^4.804 + 3*t^4.948 + t^5.103 + 2*t^5.175 + t^5.247 + t^5.319 + t^5.546 + t^5.629 + 2*t^5.701 + 2*t^5.773 + t^5.845 - t^6. - t^4.351/y - t^4.351*y | detail | |
| 5030 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{8}$ | 0.7145 | 0.9128 | 0.7828 | [X:[1.3792], M:[1.0, 0.7933, 0.6208, 1.1725, 0.8275, 0.7584, 0.6899, 0.8275], q:[0.6034, 0.3966], qb:[0.7758, 0.4309], phi:[0.4483]] | t^2.07 + t^2.275 + t^2.38 + 2*t^2.483 + t^2.69 + t^3. + t^3.103 + t^3.828 + t^4.138 + t^4.14 + 2*t^4.345 + t^4.448 + t^4.45 + t^4.55 + 2*t^4.552 + t^4.655 + 2*t^4.758 + 2*t^4.76 + 2*t^4.862 + 5*t^4.965 + 2*t^5.07 + 3*t^5.172 + t^5.275 + t^5.378 + t^5.38 + 2*t^5.483 + 2*t^5.585 + t^5.69 + t^5.793 - 2*t^6. - t^4.345/y - t^4.345*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2092 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ | 0.6791 | 0.8471 | 0.8017 | [X:[1.3804], M:[1.0, 0.7914, 0.6196, 1.1718, 0.8282, 0.7608], q:[0.6043, 0.3957], qb:[0.7761, 0.4326], phi:[0.4478]] | t^2.282 + t^2.374 + t^2.485 + t^2.687 + t^3. + t^3.111 + t^3.515 + t^3.828 + t^3.939 + t^4.141 + t^4.344 + t^4.454 + t^4.565 + t^4.656 + t^4.748 + t^4.767 + t^4.859 + 3*t^4.969 + t^5.061 + t^5.172 + t^5.282 + t^5.374 + t^5.393 + t^5.485 + t^5.595 + t^5.687 + 2*t^5.798 - t^6. - t^4.344/y - t^4.344*y | detail |