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 |
|---|---|---|---|---|---|---|---|---|---|
| 4368 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6633 | 0.8395 | 0.7902 | [M:[0.7043, 1.0455, 1.2046, 1.1136, 0.7954, 0.8864, 0.7954, 1.0225], q:[0.5343, 0.7614], qb:[0.3522, 0.4432], phi:[0.4772]] | [M:[[-34], [12], [10], [-14], [-10], [14], [-10], [-38]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{8}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.113 + 2*t^2.386 + t^2.659 + t^3.067 + t^3.137 + t^3.341 + t^3.545 + t^3.818 + 2*t^4.091 + t^4.226 + t^4.364 + 2*t^4.499 + t^4.637 + 4*t^4.772 + 2*t^5.046 + t^5.18 + t^5.25 + t^5.319 + 2*t^5.454 + 2*t^5.523 + t^5.658 + t^5.727 + t^5.796 + 3*t^5.931 - 2*t^6. + t^6.135 + 5*t^6.204 - 2*t^6.273 + t^6.339 + t^6.408 + 5*t^6.477 - t^6.546 + 3*t^6.612 + 3*t^6.75 + 5*t^6.885 - t^6.954 + 2*t^7.024 + t^7.089 + 6*t^7.159 - t^7.228 + t^7.294 + t^7.297 + 2*t^7.363 + 3*t^7.432 + 2*t^7.567 + 4*t^7.636 + t^7.771 + 2*t^7.84 + 5*t^7.909 - t^7.978 + 3*t^8.044 - 2*t^8.113 + 4*t^8.182 + t^8.248 - t^8.251 + 8*t^8.317 - 7*t^8.386 + t^8.452 + 2*t^8.455 + 2*t^8.521 + 9*t^8.59 - 7*t^8.659 + 3*t^8.725 + 2*t^8.728 + t^8.794 + 8*t^8.863 - 4*t^8.933 + 6*t^8.998 - t^4.432/y - t^6.545/y - t^6.818/y + t^7.364/y + t^7.499/y + (2*t^7.772)/y + (3*t^8.046)/y + t^8.18/y + t^8.25/y + t^8.319/y + (3*t^8.454)/y + (2*t^8.523)/y + (3*t^8.727)/y + t^8.796/y + (2*t^8.931)/y - t^4.432*y - t^6.545*y - t^6.818*y + t^7.364*y + t^7.499*y + 2*t^7.772*y + 3*t^8.046*y + t^8.18*y + t^8.25*y + t^8.319*y + 3*t^8.454*y + 2*t^8.523*y + 3*t^8.727*y + t^8.796*y + 2*t^8.931*y | t^2.113/g1^34 + (2*t^2.386)/g1^10 + g1^14*t^2.659 + t^3.067/g1^38 + g1^12*t^3.137 + t^3.341/g1^14 + t^3.545/g1^40 + t^3.818/g1^16 + 2*g1^8*t^4.091 + t^4.226/g1^68 + g1^32*t^4.364 + (2*t^4.499)/g1^44 + g1^56*t^4.637 + (4*t^4.772)/g1^20 + 2*g1^4*t^5.046 + t^5.18/g1^72 + t^5.25/g1^22 + g1^28*t^5.319 + (2*t^5.454)/g1^48 + 2*g1^2*t^5.523 + t^5.658/g1^74 + t^5.727/g1^24 + g1^26*t^5.796 + (3*t^5.931)/g1^50 - 2*t^6. + t^6.135/g1^76 + (5*t^6.204)/g1^26 - 2*g1^24*t^6.273 + t^6.339/g1^102 + t^6.408/g1^52 + (5*t^6.477)/g1^2 - g1^48*t^6.546 + (3*t^6.612)/g1^78 + 3*g1^22*t^6.75 + (5*t^6.885)/g1^54 - t^6.954/g1^4 + 2*g1^46*t^7.024 + t^7.089/g1^80 + (6*t^7.159)/g1^30 - g1^20*t^7.228 + t^7.294/g1^106 + g1^70*t^7.297 + (2*t^7.363)/g1^56 + (3*t^7.432)/g1^6 + (2*t^7.567)/g1^82 + (4*t^7.636)/g1^32 + t^7.771/g1^108 + (2*t^7.84)/g1^58 + (5*t^7.909)/g1^8 - g1^42*t^7.978 + (3*t^8.044)/g1^84 - (2*t^8.113)/g1^34 + 4*g1^16*t^8.182 + t^8.248/g1^110 - g1^66*t^8.251 + (8*t^8.317)/g1^60 - (7*t^8.386)/g1^10 + t^8.452/g1^136 + 2*g1^40*t^8.455 + (2*t^8.521)/g1^86 + (9*t^8.59)/g1^36 - 7*g1^14*t^8.659 + (3*t^8.725)/g1^112 + 2*g1^64*t^8.728 + t^8.794/g1^62 + (8*t^8.863)/g1^12 - 4*g1^38*t^8.933 + (6*t^8.998)/g1^88 - t^4.432/(g1^6*y) - t^6.545/(g1^40*y) - t^6.818/(g1^16*y) + (g1^32*t^7.364)/y + t^7.499/(g1^44*y) + (2*t^7.772)/(g1^20*y) + (3*g1^4*t^8.046)/y + t^8.18/(g1^72*y) + t^8.25/(g1^22*y) + (g1^28*t^8.319)/y + (3*t^8.454)/(g1^48*y) + (2*g1^2*t^8.523)/y + (3*t^8.727)/(g1^24*y) + (g1^26*t^8.796)/y + (2*t^8.931)/(g1^50*y) - (t^4.432*y)/g1^6 - (t^6.545*y)/g1^40 - (t^6.818*y)/g1^16 + g1^32*t^7.364*y + (t^7.499*y)/g1^44 + (2*t^7.772*y)/g1^20 + 3*g1^4*t^8.046*y + (t^8.18*y)/g1^72 + (t^8.25*y)/g1^22 + g1^28*t^8.319*y + (3*t^8.454*y)/g1^48 + 2*g1^2*t^8.523*y + (3*t^8.727*y)/g1^24 + g1^26*t^8.796*y + (2*t^8.931*y)/g1^50 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5829 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{9}$ | 0.6738 | 0.8564 | 0.7868 | [M:[0.7179, 1.0407, 1.2006, 1.1191, 0.7994, 0.8809, 0.7994, 1.0377, 0.8809], q:[0.5219, 0.7602], qb:[0.359, 0.4404], phi:[0.4796]] | t^2.154 + 2*t^2.398 + 2*t^2.643 + t^3.113 + t^3.122 + t^3.593 + t^3.837 + 2*t^4.081 + t^4.307 + t^4.326 + 2*t^4.552 + t^4.57 + 5*t^4.796 + 4*t^5.041 + t^5.267 + t^5.276 + 3*t^5.285 + t^5.511 + 2*t^5.52 + t^5.746 + 2*t^5.765 + 3*t^5.991 - 3*t^6. - t^4.439/y - t^4.439*y | detail | |
| 5828 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{9}$ | 0.6533 | 0.8237 | 0.7931 | [M:[0.6905, 1.0504, 1.2087, 1.1079, 0.7913, 0.8921, 0.7913, 1.0071, 1.1079], q:[0.5469, 0.7626], qb:[0.3453, 0.4461], phi:[0.4748]] | t^2.072 + 2*t^2.374 + t^3.021 + t^3.151 + 2*t^3.324 + t^3.496 + t^3.798 + 2*t^4.101 + t^4.143 + t^4.403 + 2*t^4.446 + t^4.706 + 3*t^4.748 + t^5.093 + t^5.223 + 3*t^5.395 + 2*t^5.525 + t^5.568 + 2*t^5.698 + 3*t^5.87 - 3*t^6. - t^4.424/y - t^4.424*y | detail | |
| 5831 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6832 | 0.8761 | 0.7798 | [M:[0.71, 1.0435, 1.2029, 1.1159, 0.7971, 0.8841, 0.7971, 1.0288, 0.7247], q:[0.5291, 0.7609], qb:[0.355, 0.4421], phi:[0.4782]] | t^2.13 + t^2.174 + 2*t^2.391 + t^2.652 + t^3.086 + t^3.131 + t^3.348 + t^3.565 + 2*t^4.087 + t^4.26 + t^4.304 + 2*t^4.348 + 2*t^4.521 + 2*t^4.565 + t^4.61 + 4*t^4.782 + t^4.827 + 2*t^5.044 + t^5.216 + 2*t^5.261 + 2*t^5.305 + 2*t^5.478 + 3*t^5.522 + t^5.695 + 2*t^5.739 + t^5.783 + 2*t^5.956 - 2*t^6. - t^4.435/y - t^4.435*y | detail | |
| 5830 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6797 | 0.8672 | 0.7838 | [M:[0.7308, 1.0362, 1.1968, 1.1245, 0.8032, 0.8755, 0.8032, 1.0521, 0.7873], q:[0.5101, 0.759], qb:[0.3654, 0.4378], phi:[0.4819]] | t^2.192 + t^2.362 + 2*t^2.41 + t^2.627 + t^3.109 + t^3.156 + t^3.373 + t^3.855 + 2*t^4.072 + t^4.289 + t^4.385 + t^4.507 + t^4.554 + 2*t^4.602 + t^4.724 + 2*t^4.771 + 4*t^4.819 + t^4.988 + 2*t^5.036 + t^5.253 + t^5.301 + t^5.349 + t^5.47 + 3*t^5.518 + 2*t^5.566 + 2*t^5.735 + t^5.783 - 2*t^6. - t^4.446/y - t^4.446*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2369 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6675 | 0.845 | 0.79 | [M:[0.7452, 1.0311, 1.1926, 1.1304, 0.8074, 0.8696, 0.8074], q:[0.497, 0.7578], qb:[0.3726, 0.4348], phi:[0.4845]] | t^2.236 + 2*t^2.422 + t^2.609 + t^2.795 + t^3.093 + t^3.391 + t^3.689 + t^3.876 + 2*t^4.062 + t^4.249 + t^4.435 + t^4.471 + 2*t^4.658 + 4*t^4.845 + 3*t^5.031 + 3*t^5.218 + t^5.329 + t^5.404 + 2*t^5.516 + t^5.591 + t^5.702 + t^5.889 + t^5.925 - 2*t^6. - t^4.453/y - t^4.453*y | detail |