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 |
|---|---|---|---|---|---|---|---|---|---|
| 4396 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6706 | 0.8334 | 0.8047 | [M:[0.7925, 1.0943, 1.0188, 0.8302, 0.9812, 1.1698, 1.0188, 0.7547], q:[0.7736, 0.4339], qb:[0.3962, 0.5849], phi:[0.4528]] | [M:[[30], [-4], [-22], [-14], [22], [14], [-22], [-32]], q:[[-1], [-29]], qb:[[15], [7]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{8}$ | ${}$ | -2 | t^2.264 + t^2.377 + t^2.491 + 2*t^3.057 + t^3.283 + t^3.509 + t^3.849 + t^3.962 + t^4.075 + t^4.302 + t^4.415 + t^4.528 + t^4.642 + 2*t^4.755 + 2*t^4.868 + t^4.981 + 2*t^5.321 + t^5.434 + 2*t^5.547 + t^5.66 + 2*t^5.774 - 2*t^6. + 3*t^6.113 + t^6.226 + 4*t^6.34 + t^6.453 + 2*t^6.566 + 2*t^6.679 + t^6.792 + 2*t^6.906 + 3*t^7.019 + 4*t^7.132 + 2*t^7.245 + 2*t^7.358 + 2*t^7.472 + 3*t^7.585 + t^7.698 + 3*t^7.811 + t^7.924 + 2*t^7.925 + 4*t^8.038 + t^8.151 - t^8.264 + 2*t^8.377 + t^8.49 - t^8.491 + 4*t^8.604 + 2*t^8.717 + 5*t^8.83 + 2*t^8.943 - t^4.358/y - t^6.623/y - t^6.736/y + t^7.302/y - t^7.415/y + t^7.642/y + t^7.755/y + t^7.868/y + t^7.981/y + t^8.094/y + (2*t^8.321)/y + (2*t^8.434)/y + (3*t^8.547)/y + t^8.66/y + (2*t^8.774)/y - t^4.358*y - t^6.623*y - t^6.736*y + t^7.302*y - t^7.415*y + t^7.642*y + t^7.755*y + t^7.868*y + t^7.981*y + t^8.094*y + 2*t^8.321*y + 2*t^8.434*y + 3*t^8.547*y + t^8.66*y + 2*t^8.774*y | t^2.264/g1^32 + g1^30*t^2.377 + t^2.491/g1^14 + (2*t^3.057)/g1^22 + t^3.283/g1^4 + g1^14*t^3.509 + t^3.849/g1^12 + t^3.962/g1^56 + g1^6*t^4.075 + g1^24*t^4.302 + t^4.415/g1^20 + t^4.528/g1^64 + t^4.642/g1^2 + t^4.755/g1^46 + g1^60*t^4.755 + 2*g1^16*t^4.868 + t^4.981/g1^28 + (2*t^5.321)/g1^54 + g1^8*t^5.434 + (2*t^5.547)/g1^36 + g1^26*t^5.66 + (2*t^5.774)/g1^18 - 2*t^6. + (3*t^6.113)/g1^44 + t^6.226/g1^88 + (4*t^6.34)/g1^26 + t^6.453/g1^70 + (2*t^6.566)/g1^8 + t^6.679/g1^52 + g1^54*t^6.679 + t^6.792/g1^96 + (2*t^6.906)/g1^34 + (3*t^7.019)/g1^78 + (3*t^7.132)/g1^16 + g1^90*t^7.132 + t^7.245/g1^60 + g1^46*t^7.245 + 2*g1^2*t^7.358 + (2*t^7.472)/g1^42 + (2*t^7.585)/g1^86 + g1^20*t^7.585 + t^7.698/g1^24 + (3*t^7.811)/g1^68 + t^7.924/g1^112 + (2*t^7.925)/g1^6 + (3*t^8.038)/g1^50 + g1^56*t^8.038 + g1^12*t^8.151 - t^8.264/g1^32 + (4*t^8.377)/g1^76 - 2*g1^30*t^8.377 + t^8.49/g1^120 - t^8.491/g1^14 + (4*t^8.604)/g1^58 + t^8.717/g1^102 + g1^4*t^8.717 + (5*t^8.83)/g1^40 + (2*t^8.943)/g1^84 - (g1^2*t^4.358)/y - t^6.623/(g1^30*y) - (g1^32*t^6.736)/y + (g1^24*t^7.302)/y - t^7.415/(g1^20*y) + t^7.642/(g1^2*y) + t^7.755/(g1^46*y) + (g1^16*t^7.868)/y + t^7.981/(g1^28*y) + (g1^34*t^8.094)/y + (2*t^8.321)/(g1^54*y) + (2*g1^8*t^8.434)/y + (3*t^8.547)/(g1^36*y) + (g1^26*t^8.66)/y + (2*t^8.774)/(g1^18*y) - t^8.887/(g1^62*y) + (g1^44*t^8.887)/y - g1^2*t^4.358*y - (t^6.623*y)/g1^30 - g1^32*t^6.736*y + g1^24*t^7.302*y - (t^7.415*y)/g1^20 + (t^7.642*y)/g1^2 + (t^7.755*y)/g1^46 + g1^16*t^7.868*y + (t^7.981*y)/g1^28 + g1^34*t^8.094*y + (2*t^8.321*y)/g1^54 + 2*g1^8*t^8.434*y + (3*t^8.547*y)/g1^36 + g1^26*t^8.66*y + (2*t^8.774*y)/g1^18 - (t^8.887*y)/g1^62 + g1^44*t^8.887*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 |
|---|---|---|---|---|---|---|---|---|
| 5887 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6908 | 0.871 | 0.7931 | [M:[0.7893, 1.0948, 1.0212, 0.8317, 0.9788, 1.1683, 1.0212, 0.7581, 0.7157], q:[0.7737, 0.437], qb:[0.3946, 0.5842], phi:[0.4526]] | t^2.147 + t^2.274 + t^2.368 + t^2.495 + 2*t^3.064 + t^3.284 + t^3.505 + t^3.98 + t^4.074 + 2*t^4.294 + 2*t^4.421 + t^4.515 + t^4.549 + 2*t^4.642 + t^4.736 + t^4.769 + 2*t^4.863 + t^4.99 + 2*t^5.211 + 2*t^5.338 + 2*t^5.431 + 2*t^5.559 + 2*t^5.652 + 2*t^5.779 - 2*t^6. - t^4.358/y - t^4.358*y | detail | |
| 5888 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.6914 | 0.8743 | 0.7908 | [M:[0.7899, 1.0947, 1.0207, 0.8314, 0.9793, 1.1686, 1.0207, 0.7574, 0.6745], q:[0.7737, 0.4364], qb:[0.395, 0.5843], phi:[0.4527]] | t^2.024 + t^2.272 + t^2.37 + t^2.494 + 2*t^3.062 + t^3.284 + t^3.506 + t^3.852 + t^4.047 + t^4.074 + 2*t^4.296 + t^4.393 + t^4.42 + t^4.518 + t^4.544 + t^4.642 + t^4.74 + t^4.766 + 2*t^4.864 + t^4.988 + 2*t^5.086 + t^5.308 + 2*t^5.334 + t^5.432 + t^5.53 + 2*t^5.556 + t^5.654 + 2*t^5.778 + t^5.876 - 2*t^6. - t^4.358/y - t^4.358*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2381 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6522 | 0.7994 | 0.8159 | [M:[0.7755, 1.0966, 1.0313, 0.8381, 0.9687, 1.1619, 1.0313], q:[0.7741, 0.4503], qb:[0.3878, 0.581], phi:[0.4517]] | t^2.327 + t^2.514 + 2*t^3.094 + t^3.29 + t^3.486 + t^3.682 + t^3.869 + t^4.057 + t^4.065 + t^4.261 + t^4.449 + t^4.653 + 2*t^4.841 + t^5.029 + t^5.42 + t^5.608 + t^5.616 + t^5.804 - 2*t^6. - t^4.355/y - t^4.355*y | detail |