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 |
|---|---|---|---|---|---|---|---|---|---|
| 57690 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 1.0917 | 1.2095 | 0.9026 | [X:[1.5289], M:[0.9422], q:[0.6864, 0.3916], qb:[0.4307, 1.078], phi:[0.2355]] | [X:[[0, 2]], M:[[0, -4]], q:[[-1, 1], [2, -1]], qb:[[-2, 6], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }M_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$ | -1 | t^2.12 + t^2.47 + t^2.83 + t^3.35 + t^3.88 + t^4.24 + t^4.41 + 2*t^4.59 + t^4.93 + t^4.95 + t^5.12 + 2*t^5.29 + t^5.64 + t^5.65 + t^5.82 - t^6. + t^6.18 + t^6.35 + t^6.36 + t^6.52 + t^6.7 + 2*t^6.71 + 2*t^7.05 + t^7.07 + t^7.23 + t^7.24 + t^7.4 + 2*t^7.41 + t^7.58 + 3*t^7.76 + t^7.77 + t^8.11 + 2*t^8.12 + 2*t^8.29 + t^8.46 - t^8.47 + 2*t^8.48 + t^8.64 - t^8.65 + t^8.81 + t^8.82 - 2*t^8.83 + t^8.99 + t^8.12/y^2 - t^8.83/y^2 - t^3.71/y - t^4.41/y - t^5.83/y - t^6.17/y - (2*t^6.53)/y - t^7.06/y - t^7.24/y + t^7.59/y - t^8.12/y + t^8.47/y - t^8.64/y - (2*t^8.65)/y + t^8.82/y - t^3.71*y - t^4.41*y - t^5.83*y - t^6.17*y - 2*t^6.53*y - t^7.06*y - t^7.24*y + t^7.59*y - t^8.12*y + t^8.47*y - t^8.64*y - 2*t^8.65*y + t^8.82*y + t^8.12*y^2 - t^8.83*y^2 | t^2.12/g2^3 + g2^5*t^2.47 + t^2.83/g2^4 + (g2^7*t^3.35)/g1^3 + g2^3*t^3.88 + t^4.24/g2^6 + (g1^3*t^4.41)/g2 + 2*g2^2*t^4.59 + g2^10*t^4.93 + t^4.95/g2^7 + (g1^3*t^5.12)/g2^2 + 2*g2*t^5.29 + (g1^6*t^5.64)/g2^6 + t^5.65/g2^8 + (g2^12*t^5.82)/g1^3 - 2*t^6. + (g2^15*t^6.)/g1^6 + (g2^3*t^6.18)/g1^3 + g2^8*t^6.35 + t^6.36/g2^9 + (g2^11*t^6.52)/g1^3 + (g2^14*t^6.7)/g1^6 + (2*t^6.71)/g2 - (g2^2*t^6.88)/g1^3 + g1^3*g2^4*t^6.88 + 2*g2^7*t^7.05 + t^7.07/g2^10 + (g2^10*t^7.23)/g1^3 + (g1^3*t^7.24)/g2^5 + g2^15*t^7.4 + (2*t^7.41)/g2^2 + g1^3*g2^3*t^7.58 + 3*g2^6*t^7.76 + t^7.77/g2^11 - (g1^3*t^7.94)/g2^6 + (g2^9*t^7.94)/g1^3 + (g1^6*t^8.11)/g2 + (2*t^8.12)/g2^3 + g1^3*g2^2*t^8.29 + (g2^17*t^8.29)/g1^3 + (g2^20*t^8.46)/g1^6 - g2^5*t^8.47 + (2*t^8.48)/g2^12 + (g2^8*t^8.64)/g1^3 - (g1^3*t^8.65)/g2^7 + g2^13*t^8.81 + (g1^6*t^8.82)/g2^2 - (2*t^8.83)/g2^4 + (g2^16*t^8.99)/g1^3 + t^8.12/(g2^3*y^2) - t^8.83/(g2^4*y^2) - t^3.71/(g2*y) - t^4.41/(g2^2*y) - t^5.83/(g2^4*y) - (g2^4*t^6.17)/y - (2*t^6.53)/(g2^5*y) - (g2^6*t^7.06)/(g1^3*y) - t^7.24/(g2^6*y) + (g2^2*t^7.59)/y - (g1^3*t^8.12)/(g2^2*y) + (g2^4*t^8.47)/(g1^3*y) - (g2^9*t^8.64)/y - (2*t^8.65)/(g2^8*y) + (g2^12*t^8.82)/(g1^3*y) - (t^3.71*y)/g2 - (t^4.41*y)/g2^2 - (t^5.83*y)/g2^4 - g2^4*t^6.17*y - (2*t^6.53*y)/g2^5 - (g2^6*t^7.06*y)/g1^3 - (t^7.24*y)/g2^6 + g2^2*t^7.59*y - (g1^3*t^8.12*y)/g2^2 + (g2^4*t^8.47*y)/g1^3 - g2^9*t^8.64*y - (2*t^8.65*y)/g2^8 + (g2^12*t^8.82*y)/g1^3 + (t^8.12*y^2)/g2^3 - (t^8.83*y^2)/g2^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 60606 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ | 1.0153 | 1.1314 | 0.8974 | [X:[1.4286, 1.4286], M:[1.1429], q:[0.7211, 0.2721], qb:[0.2993, 0.9932], phi:[0.2857]] | t^2.57 + t^3.06 + 2*t^3.43 + t^3.8 + 2*t^4.29 + t^4.65 + t^5.02 + 2*t^5.14 + t^5.27 + t^5.63 - t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 39003/38416, c: 21731/19208, X1: 10/7, X2: 10/7, M1: 8/7, q1: 106/147, q2: 40/147, qb1: 44/147, qb2: 146/147, phi1: 2/7} |
| 58959 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ | 1.087 | 1.212 | 0.8969 | [X:[1.5], M:[1.0], q:[0.6964, 0.3571], qb:[0.3929, 1.0536], phi:[0.25]] | 2*t^2.25 + t^3. + t^3.27 + t^3.75 + t^4.23 + 4*t^4.5 + t^4.98 + 3*t^5.25 + t^5.46 + t^5.52 + t^5.79 - t^3.75/y - t^4.5/y - (2*t^6.)/y - t^3.75*y - t^4.5*y - 2*t^6.*y | detail | {a: 62331/57344, c: 69499/57344, X1: 3/2, M1: 1, q1: 39/56, q2: 5/14, qb1: 11/28, qb2: 59/56, phi1: 1/4} |
| 58971 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0036 | 1.0775 | 0.9314 | [X:[1.6032, 1.4049], M:[0.7935], q:[0.6005, 0.6005], qb:[0.4075, 1.2011], phi:[0.1984]] | t^2.38 + 2*t^3.02 + 2*t^4.21 + t^4.76 + 4*t^5.4 + t^5.45 - 3*t^6. - t^3.6/y - t^4.19/y - t^5.98/y - t^3.6*y - t^4.19*y - t^5.98*y | detail | |
| 58932 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 1.0904 | 1.205 | 0.905 | [X:[1.5419], M:[0.9162], q:[0.6871, 0.3967], qb:[0.4581, 1.0838], phi:[0.229]] | t^2.06 + t^2.56 + t^2.75 + t^3.44 + t^3.94 + t^4.12 + t^4.44 + 2*t^4.63 + t^4.81 + 2*t^5.13 + 2*t^5.31 + t^5.5 + t^5.63 - t^6. - t^3.69/y - t^4.37/y - t^5.75/y - t^3.69*y - t^4.37*y - t^5.75*y | detail | |
| 59392 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9156 | 0.9693 | 0.9446 | [X:[1.662, 1.493], M:[0.676], q:[0.554, 0.723], qb:[0.4319, 1.277], phi:[0.169]] | t^2.03 + t^2.96 + t^3.46 + t^4.06 + t^4.48 + 2*t^4.99 + t^5.41 + t^5.49 + t^5.92 - 2*t^6. - t^3.51/y - t^4.01/y - t^5.54/y - t^3.51*y - t^4.01*y - t^5.54*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47921 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4635 | 1.664 | 0.8795 | [X:[1.3534], M:[0.671], q:[0.5755, 0.5258], qb:[0.4799, 0.479], phi:[0.3233]] | t^2.013 + t^2.91 + t^3.014 + t^3.017 + t^3.163 + t^3.166 + t^3.984 + t^4.026 + t^4.06 + t^4.133 + t^4.136 + t^4.923 + t^4.954 + t^4.957 + t^5.027 + t^5.03 + t^5.103 + t^5.106 + t^5.176 + t^5.179 + t^5.283 + t^5.286 + t^5.82 + t^5.924 + t^5.927 - 3*t^6. - t^3.97/y - t^4.94/y - t^5.983/y - t^3.97*y - t^4.94*y - t^5.983*y | detail |