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 |
|---|---|---|---|---|---|---|---|---|---|
| 4413 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6358 | 0.7907 | 0.8041 | [M:[0.8829, 1.0425, 1.0322, 0.7979, 1.1171, 1.2021, 1.1171, 0.7233], q:[0.7606, 0.3565], qb:[0.4414, 0.5264], phi:[0.4788]] | [M:[[14], [12], [-38], [-10], [-14], [10], [-14], [16]], q:[[3], [-17]], qb:[[7], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}M_{8}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{8}\phi_{1}q_{2}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{4}\phi_{1}q_{2}^{2}$ | ${}$ | -2 | t^2.17 + t^2.394 + t^3.097 + t^3.127 + 2*t^3.351 + t^3.575 + t^3.606 + t^3.861 + 2*t^4.085 + 2*t^4.34 + t^4.564 + t^4.594 + t^4.788 + t^5.266 + t^5.297 + 3*t^5.521 + t^5.745 + t^5.776 + t^5.969 - 2*t^6. + t^6.031 + t^6.193 + t^6.255 + 2*t^6.448 + 2*t^6.479 + t^6.51 + t^6.672 + 3*t^6.703 + t^6.734 + t^6.764 + t^6.927 + 2*t^6.958 + t^6.988 + t^7.151 + t^7.182 + 2*t^7.212 + 3*t^7.436 + 2*t^7.467 + t^7.66 + 4*t^7.691 + t^7.722 + t^7.915 + 3*t^7.946 + t^8.139 - t^8.17 + 2*t^8.201 + 2*t^8.363 - 2*t^8.394 + t^8.425 + t^8.455 + t^8.618 + t^8.649 + 3*t^8.679 + 3*t^8.873 + 2*t^8.934 - t^4.436/y - t^6.606/y + t^7.085/y + t^7.34/y - t^7.533/y + t^7.564/y - t^7.788/y + (2*t^8.266)/y + t^8.297/y + t^8.49/y + (3*t^8.521)/y + (3*t^8.745)/y + t^8.969/y - t^4.436*y - t^6.606*y + t^7.085*y + t^7.34*y - t^7.533*y + t^7.564*y - t^7.788*y + 2*t^8.266*y + t^8.297*y + t^8.49*y + 3*t^8.521*y + 3*t^8.745*y + t^8.969*y | g1^16*t^2.17 + t^2.394/g1^10 + t^3.097/g1^38 + g1^12*t^3.127 + (2*t^3.351)/g1^14 + t^3.575/g1^40 + g1^10*t^3.606 + g1^34*t^3.861 + 2*g1^8*t^4.085 + 2*g1^32*t^4.34 + g1^6*t^4.564 + g1^56*t^4.594 + t^4.788/g1^20 + t^5.266/g1^22 + g1^28*t^5.297 + 3*g1^2*t^5.521 + t^5.745/g1^24 + g1^26*t^5.776 + t^5.969/g1^50 - 2*t^6. + g1^50*t^6.031 + t^6.193/g1^76 + g1^24*t^6.255 + (2*t^6.448)/g1^52 + (2*t^6.479)/g1^2 + g1^48*t^6.51 + t^6.672/g1^78 + (3*t^6.703)/g1^28 + g1^22*t^6.734 + g1^72*t^6.764 + t^6.927/g1^54 + (2*t^6.958)/g1^4 + g1^46*t^6.988 + t^7.151/g1^80 + t^7.182/g1^30 + 2*g1^20*t^7.212 + (3*t^7.436)/g1^6 + 2*g1^44*t^7.467 + t^7.66/g1^32 + 4*g1^18*t^7.691 + g1^68*t^7.722 + t^7.915/g1^8 + 3*g1^42*t^7.946 + t^8.139/g1^34 - g1^16*t^8.17 + 2*g1^66*t^8.201 + (2*t^8.363)/g1^60 - (2*t^8.394)/g1^10 + g1^40*t^8.425 + g1^90*t^8.455 + t^8.618/g1^36 + g1^14*t^8.649 + 3*g1^64*t^8.679 + (3*t^8.873)/g1^12 + 2*g1^88*t^8.934 - t^4.436/(g1^6*y) - (g1^10*t^6.606)/y + (g1^8*t^7.085)/y + (g1^32*t^7.34)/y - t^7.533/(g1^44*y) + (g1^6*t^7.564)/y - t^7.788/(g1^20*y) + (2*t^8.266)/(g1^22*y) + (g1^28*t^8.297)/y + t^8.49/(g1^48*y) + (3*g1^2*t^8.521)/y + (3*t^8.745)/(g1^24*y) + t^8.969/(g1^50*y) - (t^4.436*y)/g1^6 - g1^10*t^6.606*y + g1^8*t^7.085*y + g1^32*t^7.34*y - (t^7.533*y)/g1^44 + g1^6*t^7.564*y - (t^7.788*y)/g1^20 + (2*t^8.266*y)/g1^22 + g1^28*t^8.297*y + (t^8.49*y)/g1^48 + 3*g1^2*t^8.521*y + (3*t^8.745*y)/g1^24 + (t^8.969*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 |
|---|---|---|---|---|---|---|---|---|
| 5910 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}M_{9}$ | 0.6525 | 0.8201 | 0.7956 | [M:[0.8864, 1.0454, 1.0228, 0.7955, 1.1136, 1.2045, 1.1136, 0.7273, 0.7955], q:[0.7614, 0.3523], qb:[0.4432, 0.5341], phi:[0.4773]] | t^2.182 + 2*t^2.386 + t^3.068 + t^3.136 + 2*t^3.341 + t^3.546 + t^3.886 + 2*t^4.091 + 2*t^4.364 + 2*t^4.568 + t^4.636 + 3*t^4.773 + t^5.25 + t^5.318 + t^5.455 + 4*t^5.523 + 3*t^5.727 + 2*t^5.932 - 3*t^6. - t^4.432/y - t^4.432*y | detail | |
| 5909 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.6529 | 0.8223 | 0.794 | [M:[0.8708, 1.0321, 1.0649, 0.8066, 1.1292, 1.1934, 1.1292, 0.7095, 0.7738], q:[0.758, 0.3711], qb:[0.4354, 0.4997], phi:[0.4839]] | t^2.129 + t^2.321 + t^2.42 + t^3.096 + t^3.195 + 2*t^3.388 + t^3.58 + t^3.773 + 2*t^4.064 + 2*t^4.257 + 2*t^4.45 + t^4.548 + t^4.643 + t^4.741 + t^4.839 + t^5.225 + t^5.323 + t^5.418 + 4*t^5.516 + 3*t^5.709 + 2*t^5.902 - 2*t^6. - t^4.452/y - t^4.452*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2389 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6159 | 0.7536 | 0.8172 | [M:[0.8858, 1.045, 1.0243, 0.7959, 1.1142, 1.2041, 1.1142], q:[0.7612, 0.353], qb:[0.4429, 0.5328], phi:[0.4775]] | t^2.388 + t^3.073 + t^3.135 + 2*t^3.343 + t^3.55 + t^3.612 + t^3.82 + t^3.882 + 2*t^4.09 + t^4.36 + t^4.63 + t^4.775 + t^5.522 + t^5.938 - 2*t^6. - t^4.433/y - t^4.433*y | detail |