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 |
|---|---|---|---|---|---|---|---|---|---|
| 1651 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ | 0.6796 | 0.8399 | 0.8092 | [M:[0.9879, 1.1295, 0.9292, 0.6943, 0.8705, 0.753, 1.247], q:[0.7824, 0.4059], qb:[0.6062, 0.4646], phi:[0.4352]] | [M:[[32], [-12], [22], [-18], [12], [-8], [8]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{7}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$ | ${}$ | -3 | t^2.083 + 2*t^2.611 + t^2.788 + t^2.964 + t^3.565 + 2*t^3.741 + t^4.093 + 2*t^4.166 + t^4.342 + t^4.518 + 2*t^4.694 + t^4.87 + t^4.943 + t^5.047 + 3*t^5.223 + t^5.399 + 2*t^5.575 + t^5.648 + t^5.751 + t^5.824 + t^5.928 - 3*t^6. + t^6.176 + 2*t^6.249 + 4*t^6.352 + 2*t^6.529 + 3*t^6.705 + 2*t^6.777 + 2*t^6.953 + t^7.026 + t^7.057 + 2*t^7.13 + 4*t^7.306 + 2*t^7.482 + t^7.554 + 2*t^7.658 + t^7.73 + 6*t^7.834 + 2*t^7.907 + 2*t^8.01 - 2*t^8.083 + 3*t^8.187 + t^8.259 + 2*t^8.331 + 2*t^8.363 + t^8.435 + t^8.508 + 2*t^8.539 - 4*t^8.611 + 2*t^8.684 + t^8.715 - t^8.788 + t^8.86 + t^8.891 + t^8.964 - t^4.306/y - t^6.389/y - t^6.917/y - t^7.093/y - t^7.27/y + t^7.342/y + t^7.518/y + (3*t^7.694)/y + t^7.87/y + t^8.047/y + (2*t^8.223)/y + (2*t^8.399)/y - t^8.471/y + (2*t^8.575)/y + t^8.648/y + t^8.751/y + (2*t^8.824)/y - t^4.306*y - t^6.389*y - t^6.917*y - t^7.093*y - t^7.27*y + t^7.342*y + t^7.518*y + 3*t^7.694*y + t^7.87*y + t^8.047*y + 2*t^8.223*y + 2*t^8.399*y - t^8.471*y + 2*t^8.575*y + t^8.648*y + t^8.751*y + 2*t^8.824*y | t^2.083/g1^18 + 2*g1^12*t^2.611 + g1^22*t^2.788 + g1^32*t^2.964 + t^3.565/g1^2 + 2*g1^8*t^3.741 + g1^28*t^4.093 + (2*t^4.166)/g1^36 + t^4.342/g1^26 + t^4.518/g1^16 + (2*t^4.694)/g1^6 + g1^4*t^4.87 + t^4.943/g1^60 + g1^14*t^5.047 + 3*g1^24*t^5.223 + g1^34*t^5.399 + 2*g1^44*t^5.575 + t^5.648/g1^20 + g1^54*t^5.751 + t^5.824/g1^10 + g1^64*t^5.928 - 3*t^6. + g1^10*t^6.176 + (2*t^6.249)/g1^54 + 4*g1^20*t^6.352 + 2*g1^30*t^6.529 + 3*g1^40*t^6.705 + (2*t^6.777)/g1^24 + (2*t^6.953)/g1^14 + t^7.026/g1^78 + g1^60*t^7.057 + (2*t^7.13)/g1^4 + 4*g1^6*t^7.306 + 2*g1^16*t^7.482 + t^7.554/g1^48 + 2*g1^26*t^7.658 + t^7.73/g1^38 + 6*g1^36*t^7.834 + (2*t^7.907)/g1^28 + 2*g1^46*t^8.01 - (2*t^8.083)/g1^18 + 3*g1^56*t^8.187 + t^8.259/g1^8 + (2*t^8.331)/g1^72 + 2*g1^66*t^8.363 + g1^2*t^8.435 + t^8.508/g1^62 + 2*g1^76*t^8.539 - 4*g1^12*t^8.611 + (2*t^8.684)/g1^52 + g1^86*t^8.715 - g1^22*t^8.788 + t^8.86/g1^42 + g1^96*t^8.891 + g1^32*t^8.964 - (g1^6*t^4.306)/y - t^6.389/(g1^12*y) - (g1^18*t^6.917)/y - (g1^28*t^7.093)/y - (g1^38*t^7.27)/y + t^7.342/(g1^26*y) + t^7.518/(g1^16*y) + (3*t^7.694)/(g1^6*y) + (g1^4*t^7.87)/y + (g1^14*t^8.047)/y + (2*g1^24*t^8.223)/y + (2*g1^34*t^8.399)/y - t^8.471/(g1^30*y) + (2*g1^44*t^8.575)/y + t^8.648/(g1^20*y) + (g1^54*t^8.751)/y + (2*t^8.824)/(g1^10*y) - g1^6*t^4.306*y - (t^6.389*y)/g1^12 - g1^18*t^6.917*y - g1^28*t^7.093*y - g1^38*t^7.27*y + (t^7.342*y)/g1^26 + (t^7.518*y)/g1^16 + (3*t^7.694*y)/g1^6 + g1^4*t^7.87*y + g1^14*t^8.047*y + 2*g1^24*t^8.223*y + 2*g1^34*t^8.399*y - (t^8.471*y)/g1^30 + 2*g1^44*t^8.575*y + (t^8.648*y)/g1^20 + g1^54*t^8.751*y + (2*t^8.824*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4047 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{1}M_{8}$ | 0.6807 | 0.8426 | 0.8079 | [M:[1.034, 1.1122, 0.9609, 0.6684, 0.8878, 0.7415, 1.2585, 0.966], q:[0.7781, 0.4073], qb:[0.5587, 0.4804], phi:[0.4439]] | t^2.005 + 2*t^2.663 + t^2.883 + t^2.898 + t^3.556 + 2*t^3.776 + 2*t^4.01 + t^4.214 + t^4.23 + t^4.449 + 2*t^4.668 + t^4.684 + t^4.888 + t^4.903 + 3*t^5.327 + t^5.546 + 3*t^5.561 + 2*t^5.781 + t^5.796 - 3*t^6. - t^4.332/y - t^4.332*y | detail | |
| 4048 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}q_{1}q_{2}$ | 0.6954 | 0.8675 | 0.8016 | [M:[0.9859, 1.1303, 0.9278, 0.6954, 0.8697, 0.7535, 1.2465, 0.8116], q:[0.7826, 0.4058], qb:[0.6083, 0.4639], phi:[0.4349]] | t^2.086 + t^2.435 + 2*t^2.609 + t^2.783 + t^2.958 + 2*t^3.739 + t^4.088 + 2*t^4.173 + t^4.347 + 2*t^4.521 + 2*t^4.695 + 2*t^4.87 + t^4.954 + 3*t^5.044 + 4*t^5.218 + 2*t^5.393 + 2*t^5.567 + t^5.741 + t^5.826 + t^5.915 - 3*t^6. - t^4.305/y - t^4.305*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1060 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6986 | 0.8743 | 0.799 | [M:[0.9932, 1.1276, 0.9328, 0.6913, 0.8724, 0.7517], q:[0.7819, 0.406], qb:[0.6008, 0.4664], phi:[0.4362]] | t^2.074 + t^2.255 + 2*t^2.617 + t^2.798 + t^2.98 + t^3.564 + t^3.745 + t^4.107 + 2*t^4.148 + 2*t^4.329 + 2*t^4.51 + 2*t^4.691 + 3*t^4.872 + t^4.913 + 2*t^5.054 + 4*t^5.235 + t^5.416 + 2*t^5.597 + t^5.638 + t^5.778 + t^5.819 + t^5.959 - 2*t^6. - t^4.309/y - t^4.309*y | detail |