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 |
|---|---|---|---|---|---|---|---|---|---|
| 4047 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{1}M_{8}$ | 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]] | [M:[[32], [-12], [22], [-18], [12], [-8], [8], [-32]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{8}$, ${ }q_{1}q_{2}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{8}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$ | ${}$ | -3 | 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. + 2*t^6.015 + t^6.219 + 4*t^6.439 + t^6.454 + t^6.658 + 4*t^6.673 + t^6.689 + t^6.878 + 2*t^6.893 + 2*t^6.908 + t^7.112 + t^7.128 + 3*t^7.332 + 2*t^7.347 + t^7.551 + 3*t^7.566 + t^7.582 + 2*t^7.786 + t^7.801 + 5*t^7.99 - 2*t^8.005 + 2*t^8.02 + t^8.209 + 4*t^8.224 + t^8.24 + 2*t^8.444 + 5*t^8.459 + t^8.648 - 5*t^8.663 + 3*t^8.679 + 3*t^8.694 - 2*t^8.883 - 2*t^8.898 + 3*t^8.913 - t^4.332/y - t^6.337/y - t^6.995/y - t^7.214/y + t^7.449/y + (3*t^7.668)/y + t^7.888/y + t^7.903/y + (2*t^8.327)/y - t^8.342/y + (2*t^8.546)/y + (3*t^8.561)/y + (3*t^8.781)/y - t^4.332*y - t^6.337*y - t^6.995*y - t^7.214*y + t^7.449*y + 3*t^7.668*y + t^7.888*y + t^7.903*y + 2*t^8.327*y - t^8.342*y + 2*t^8.546*y + 3*t^8.561*y + 3*t^8.781*y | t^2.005/g1^18 + 2*g1^12*t^2.663 + g1^22*t^2.883 + t^2.898/g1^32 + t^3.556/g1^2 + 2*g1^8*t^3.776 + (2*t^4.01)/g1^36 + g1^28*t^4.214 + t^4.23/g1^26 + t^4.449/g1^16 + (2*t^4.668)/g1^6 + t^4.684/g1^60 + g1^4*t^4.888 + t^4.903/g1^50 + 3*g1^24*t^5.327 + g1^34*t^5.546 + (3*t^5.561)/g1^20 + (2*t^5.781)/g1^10 + t^5.796/g1^64 - 3*t^6. + (2*t^6.015)/g1^54 + g1^10*t^6.219 + 4*g1^20*t^6.439 + t^6.454/g1^34 + g1^30*t^6.658 + (4*t^6.673)/g1^24 + t^6.689/g1^78 + g1^40*t^6.878 + (2*t^6.893)/g1^14 + (2*t^6.908)/g1^68 + t^7.112/g1^4 + t^7.128/g1^58 + 3*g1^6*t^7.332 + (2*t^7.347)/g1^48 + g1^16*t^7.551 + (3*t^7.566)/g1^38 + t^7.582/g1^92 + (2*t^7.786)/g1^28 + t^7.801/g1^82 + 5*g1^36*t^7.99 - (2*t^8.005)/g1^18 + (2*t^8.02)/g1^72 + g1^46*t^8.209 + (4*t^8.224)/g1^8 + t^8.24/g1^62 + 2*g1^2*t^8.444 + (5*t^8.459)/g1^52 + g1^66*t^8.648 - 5*g1^12*t^8.663 + (3*t^8.679)/g1^42 + (3*t^8.694)/g1^96 - 2*g1^22*t^8.883 - (2*t^8.898)/g1^32 + (3*t^8.913)/g1^86 - (g1^6*t^4.332)/y - t^6.337/(g1^12*y) - (g1^18*t^6.995)/y - (g1^28*t^7.214)/y + t^7.449/(g1^16*y) + (3*t^7.668)/(g1^6*y) + (g1^4*t^7.888)/y + t^7.903/(g1^50*y) + (2*g1^24*t^8.327)/y - t^8.342/(g1^30*y) + (2*g1^34*t^8.546)/y + (3*t^8.561)/(g1^20*y) + (3*t^8.781)/(g1^10*y) - g1^6*t^4.332*y - (t^6.337*y)/g1^12 - g1^18*t^6.995*y - g1^28*t^7.214*y + (t^7.449*y)/g1^16 + (3*t^7.668*y)/g1^6 + g1^4*t^7.888*y + (t^7.903*y)/g1^50 + 2*g1^24*t^8.327*y - (t^8.342*y)/g1^30 + 2*g1^34*t^8.546*y + (3*t^8.561*y)/g1^20 + (3*t^8.781*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 |
|---|---|---|---|---|---|---|---|---|
| 5606 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{1}M_{8}$ + ${ }M_{9}q_{1}q_{2}$ | 0.6963 | 0.8697 | 0.8006 | [M:[1.0321, 1.113, 0.9596, 0.6694, 0.887, 0.742, 1.258, 0.9679, 0.8145], q:[0.7782, 0.4073], qb:[0.5606, 0.4798], phi:[0.4435]] | t^2.008 + t^2.444 + 2*t^2.661 + t^2.879 + t^2.904 + 2*t^3.774 + 2*t^4.017 + t^4.209 + t^4.234 + 2*t^4.452 + 2*t^4.669 + t^4.694 + 2*t^4.887 + t^4.912 + 2*t^5.105 + 4*t^5.322 + t^5.347 + t^5.54 + 2*t^5.565 + 2*t^5.782 + t^5.807 - 3*t^6. - t^4.331/y - t^4.331*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.306/y - t^4.306*y | detail |