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 |
|---|---|---|---|---|---|---|---|---|---|
| 1158 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.6792 | 0.8367 | 0.8118 | [M:[1.0385, 1.1106, 0.964, 0.8894, 0.7404, 0.9615], q:[0.7776, 0.4075], qb:[0.554, 0.482], phi:[0.4447]] | [M:[[32], [-12], [22], [12], [-8], [-32]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}q_{1}q_{2}$ | ${}$ | -2 | t^2.221 + 2*t^2.668 + t^2.884 + t^2.892 + t^3.555 + t^3.779 + t^3.995 + t^4.002 + t^4.219 + t^4.226 + 2*t^4.442 + t^4.658 + 2*t^4.889 + t^5.106 + t^5.113 + 3*t^5.337 + 2*t^5.553 + t^5.56 + t^5.769 + t^5.776 - 2*t^6. + t^6.224 + t^6.44 + 3*t^6.447 + 3*t^6.663 + 2*t^6.671 + 2*t^6.88 + 2*t^6.887 + 2*t^6.894 + t^7.103 + 3*t^7.111 + 3*t^7.327 + t^7.543 + 2*t^7.558 + t^7.774 + 2*t^7.781 + t^7.99 + 2*t^7.998 + 5*t^8.005 + t^8.214 + t^8.221 + 2*t^8.229 + 3*t^8.437 + 2*t^8.653 + t^8.661 - 3*t^8.668 + t^8.676 + t^8.877 - t^8.884 - t^8.892 - t^4.334/y - t^6.555/y - t^7.002/y - t^7.226/y + t^7.442/y + t^7.666/y + (2*t^7.889)/y + t^8.106/y + (2*t^8.113)/y + t^8.337/y + (2*t^8.553)/y + (2*t^8.56)/y + t^8.776/y - t^4.334*y - t^6.555*y - t^7.002*y - t^7.226*y + t^7.442*y + t^7.666*y + 2*t^7.889*y + t^8.106*y + 2*t^8.113*y + t^8.337*y + 2*t^8.553*y + 2*t^8.56*y + t^8.776*y | t^2.221/g1^8 + 2*g1^12*t^2.668 + t^2.884/g1^32 + g1^22*t^2.892 + t^3.555/g1^2 + g1^8*t^3.779 + t^3.995/g1^36 + g1^18*t^4.002 + t^4.219/g1^26 + g1^28*t^4.226 + (2*t^4.442)/g1^16 + t^4.658/g1^60 + 2*g1^4*t^4.889 + t^5.106/g1^40 + g1^14*t^5.113 + 3*g1^24*t^5.337 + (2*t^5.553)/g1^20 + g1^34*t^5.56 + t^5.769/g1^64 + t^5.776/g1^10 - 2*t^6. + g1^10*t^6.224 + t^6.44/g1^34 + 3*g1^20*t^6.447 + (3*t^6.663)/g1^24 + 2*g1^30*t^6.671 + (2*t^6.88)/g1^68 + (2*t^6.887)/g1^14 + 2*g1^40*t^6.894 + t^7.103/g1^58 + (3*t^7.111)/g1^4 + (3*t^7.327)/g1^48 + t^7.543/g1^92 + 2*g1^16*t^7.558 + t^7.774/g1^28 + 2*g1^26*t^7.781 + t^7.99/g1^72 + (2*t^7.998)/g1^18 + 5*g1^36*t^8.005 + t^8.214/g1^62 + t^8.221/g1^8 + 2*g1^46*t^8.229 + (3*t^8.437)/g1^52 + (2*t^8.653)/g1^96 + t^8.661/g1^42 - 3*g1^12*t^8.668 + g1^66*t^8.676 + t^8.877/g1^86 - t^8.884/g1^32 - g1^22*t^8.892 - (g1^6*t^4.334)/y - t^6.555/(g1^2*y) - (g1^18*t^7.002)/y - (g1^28*t^7.226)/y + t^7.442/(g1^16*y) + t^7.666/(g1^6*y) + (2*g1^4*t^7.889)/y + t^8.106/(g1^40*y) + (2*g1^14*t^8.113)/y + (g1^24*t^8.337)/y + (2*t^8.553)/(g1^20*y) + (2*g1^34*t^8.56)/y + t^8.776/(g1^10*y) - g1^6*t^4.334*y - (t^6.555*y)/g1^2 - g1^18*t^7.002*y - g1^28*t^7.226*y + (t^7.442*y)/g1^16 + (t^7.666*y)/g1^6 + 2*g1^4*t^7.889*y + (t^8.106*y)/g1^40 + 2*g1^14*t^8.113*y + g1^24*t^8.337*y + (2*t^8.553*y)/g1^20 + 2*g1^34*t^8.56*y + (t^8.776*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 |
|---|---|---|---|---|---|---|---|---|
| 2190 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6598 | 0.801 | 0.8238 | [M:[1.0337, 1.1123, 0.9607, 0.8877, 0.7416, 0.9663, 1.2584], q:[0.7781, 0.4073], qb:[0.5589, 0.4804], phi:[0.4438]] | 2*t^2.663 + t^2.882 + t^2.899 + t^3.556 + 2*t^3.775 + t^3.994 + t^4.011 + t^4.214 + t^4.23 + t^4.449 + t^4.685 + 3*t^5.326 + t^5.545 + 2*t^5.562 + t^5.798 - 3*t^6. - t^4.331/y - t^4.331*y | detail | |
| 2194 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6987 | 0.8726 | 0.8007 | [M:[1.0431, 1.1088, 0.9671, 0.8912, 0.7392, 0.9569, 0.7392], q:[0.7772, 0.4076], qb:[0.5493, 0.4836], phi:[0.4456]] | 2*t^2.218 + 2*t^2.673 + t^2.871 + t^2.901 + t^3.554 + t^3.98 + t^4.01 + t^4.207 + t^4.238 + 4*t^4.435 + t^4.633 + 4*t^4.891 + 2*t^5.088 + 2*t^5.119 + 3*t^5.347 + 2*t^5.544 + t^5.575 + t^5.741 + 2*t^5.772 - 3*t^6. - t^4.337/y - t^4.337*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 |
|---|---|---|---|---|---|---|---|---|---|
| 709 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6779 | 0.8345 | 0.8124 | [M:[0.9891, 1.1291, 0.93, 0.8709, 0.7527], q:[0.7823, 0.4059], qb:[0.605, 0.465], phi:[0.4355]] | t^2.258 + 2*t^2.613 + t^2.79 + t^2.967 + t^3.565 + t^3.742 + t^3.919 + t^4.096 + t^4.162 + t^4.339 + 2*t^4.516 + 2*t^4.871 + t^4.936 + t^5.048 + 4*t^5.226 + t^5.403 + 2*t^5.58 + t^5.757 + t^5.935 - 2*t^6. - t^4.306/y - t^4.306*y | detail |