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 |
|---|---|---|---|---|---|---|---|---|---|
| 47089 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}X_{1}$ | 0.6792 | 0.8367 | 0.8118 | [X:[1.3317], M:[0.6683, 1.1106, 0.964, 0.7404, 0.8894], q:[0.7776, 0.554], qb:[0.482, 0.4075], phi:[0.4447]] | [X:[[36]], M:[[-36], [12], [-22], [8], [-12]], q:[[3], [33]], qb:[[-11], [-1]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$ | ${}$ | -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 | g1^8*t^2.221 + (2*t^2.668)/g1^12 + g1^32*t^2.884 + t^2.892/g1^22 + g1^2*t^3.555 + t^3.779/g1^8 + g1^36*t^3.995 + t^4.002/g1^18 + g1^26*t^4.219 + t^4.226/g1^28 + 2*g1^16*t^4.442 + g1^60*t^4.658 + (2*t^4.889)/g1^4 + g1^40*t^5.106 + t^5.113/g1^14 + (3*t^5.337)/g1^24 + 2*g1^20*t^5.553 + t^5.56/g1^34 + g1^64*t^5.769 + g1^10*t^5.776 - 2*t^6. + t^6.224/g1^10 + g1^34*t^6.44 + (3*t^6.447)/g1^20 + 3*g1^24*t^6.663 + (2*t^6.671)/g1^30 + 2*g1^68*t^6.88 + 2*g1^14*t^6.887 + (2*t^6.894)/g1^40 + g1^58*t^7.103 + 3*g1^4*t^7.111 + 3*g1^48*t^7.327 + g1^92*t^7.543 + (2*t^7.558)/g1^16 + g1^28*t^7.774 + (2*t^7.781)/g1^26 + g1^72*t^7.99 + 2*g1^18*t^7.998 + (5*t^8.005)/g1^36 + g1^62*t^8.214 + g1^8*t^8.221 + (2*t^8.229)/g1^46 + 3*g1^52*t^8.437 + 2*g1^96*t^8.653 + g1^42*t^8.661 - (3*t^8.668)/g1^12 + t^8.676/g1^66 + g1^86*t^8.877 - g1^32*t^8.884 - t^8.892/g1^22 - t^4.334/(g1^6*y) - (g1^2*t^6.555)/y - t^7.002/(g1^18*y) - t^7.226/(g1^28*y) + (g1^16*t^7.442)/y + (g1^6*t^7.666)/y + (2*t^7.889)/(g1^4*y) + (g1^40*t^8.106)/y + (2*t^8.113)/(g1^14*y) + t^8.337/(g1^24*y) + (2*g1^20*t^8.553)/y + (2*t^8.56)/(g1^34*y) + (g1^10*t^8.776)/y - (t^4.334*y)/g1^6 - g1^2*t^6.555*y - (t^7.002*y)/g1^18 - (t^7.226*y)/g1^28 + g1^16*t^7.442*y + g1^6*t^7.666*y + (2*t^7.889*y)/g1^4 + g1^40*t^8.106*y + (2*t^8.113*y)/g1^14 + (t^8.337*y)/g1^24 + 2*g1^20*t^8.553*y + (2*t^8.56*y)/g1^34 + g1^10*t^8.776*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 |
|---|---|---|---|---|---|---|---|---|
| 55521 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6592 | 0.8209 | 0.803 | [X:[1.1765], M:[0.8235, 1.0588, 1.0588, 0.7059, 0.9412], q:[0.7647, 0.4118], qb:[0.5294, 0.4118], phi:[0.4706]] | t^2.118 + t^2.471 + 2*t^2.824 + t^3.176 + 2*t^3.529 + 3*t^3.882 + 3*t^4.235 + 2*t^4.588 + 3*t^4.941 + 3*t^5.294 + 4*t^5.647 + 2*t^6. - t^4.412/y - t^4.412*y | detail | {a: 381/578, c: 949/1156, X1: 20/17, M1: 14/17, M2: 18/17, M3: 18/17, M4: 12/17, M5: 16/17, q1: 13/17, q2: 7/17, qb1: 9/17, qb2: 7/17, phi1: 8/17} |
| 55548 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}M_{6}$ | 0.6598 | 0.801 | 0.8238 | [X:[1.337], M:[0.663, 1.1123, 0.9607, 0.7416, 0.8877, 1.2584], q:[0.7781, 0.5589], qb:[0.4804, 0.4073], 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 | |
| 55546 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6987 | 0.8726 | 0.8007 | [X:[1.3265], M:[0.6735, 1.1088, 0.9671, 0.7392, 0.8912, 0.7392], q:[0.7772, 0.5493], qb:[0.4836, 0.4076], 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46753 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{5}$ | 0.7014 | 0.8808 | 0.7963 | [M:[0.6704, 1.1099, 0.9866, 0.6972, 0.8901], q:[0.7775, 0.5521], qb:[0.4613, 0.4288], phi:[0.4451]] | t^2.011 + t^2.092 + 2*t^2.67 + t^2.943 + t^2.96 + t^3.619 + t^3.716 + t^4.006 + t^4.023 + 2*t^4.103 + t^4.183 + t^4.278 + t^4.375 + t^4.648 + 2*t^4.682 + 2*t^4.762 + t^4.954 + t^4.971 + t^5.035 + t^5.052 + 3*t^5.341 + 2*t^5.613 + 2*t^5.63 + t^5.711 + t^5.808 + t^5.886 + t^5.92 - 3*t^6. - t^4.335/y - t^4.335*y | detail |