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 |
|---|---|---|---|---|---|---|---|---|---|
| 58882 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ | 1.4741 | 1.6808 | 0.877 | [X:[1.3387], M:[0.992, 0.6693], q:[0.5, 0.508], qb:[0.5, 0.508], phi:[0.3307]] | [X:[[0, 2]], M:[[0, -3], [0, 1]], q:[[-1, 3], [-1, 6]], qb:[[1, -3], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | -1 | t^2.01 + 2*t^2.98 + t^3. + t^3.02 + t^3.05 + 4*t^4.02 + t^4.04 + 3*t^4.98 + 3*t^5.01 + 2*t^5.03 + t^5.06 + 2*t^5.52 + 2*t^5.54 + 3*t^5.95 - t^6. + 5*t^6.02 + 3*t^6.05 + t^6.07 + t^6.1 + 2*t^6.51 + 2*t^6.53 - 2*t^6.97 + 6*t^6.99 + 6*t^7.02 + 6*t^7.04 + 5*t^7.06 + t^7.09 + 2*t^7.48 + 2*t^7.52 + 4*t^7.55 + 3*t^7.96 + 3*t^7.98 + t^8.01 + 12*t^8.03 + 8*t^8.06 + 3*t^8.08 + t^8.1 - 2*t^8.47 - 2*t^8.49 + 2*t^8.52 + 4*t^8.54 + 4*t^8.56 + 2*t^8.59 + 4*t^8.93 - 4*t^8.98 + t^8.98/y^2 - t^3.99/y - t^4.98/y - t^6./y - (2*t^6.97)/y - (2*t^6.99)/y - t^7.02/y - t^7.04/y - (2*t^7.96)/y + (2*t^7.98)/y - t^8.01/y + t^8.06/y + t^8.95/y - t^3.99*y - t^4.98*y - t^6.*y - 2*t^6.97*y - 2*t^6.99*y - t^7.02*y - t^7.04*y - 2*t^7.96*y + 2*t^7.98*y - t^8.01*y + t^8.06*y + t^8.95*y + t^8.98*y^2 | g2*t^2.01 + (2*t^2.98)/g2^3 + t^3. + g2^3*t^3.02 + g2^6*t^3.05 + 4*g2^2*t^4.02 + g2^5*t^4.04 + (3*t^4.98)/g2^2 + 3*g2*t^5.01 + 2*g2^4*t^5.03 + g2^7*t^5.06 + (g1^3*t^5.52)/g2^7 + (g2^11*t^5.52)/g1^3 + (g1^3*t^5.54)/g2^4 + (g2^14*t^5.54)/g1^3 + (3*t^5.95)/g2^6 - t^6. + 5*g2^3*t^6.02 + 3*g2^6*t^6.05 + g2^9*t^6.07 + g2^12*t^6.1 + (g1^3*t^6.51)/g2^8 + (g2^10*t^6.51)/g1^3 + (g1^3*t^6.53)/g2^5 + (g2^13*t^6.53)/g1^3 - (2*t^6.97)/g2^4 + (6*t^6.99)/g2 + 6*g2^2*t^7.02 + 6*g2^5*t^7.04 + 5*g2^8*t^7.06 + g2^11*t^7.09 + (g1^3*t^7.48)/g2^12 + (g2^6*t^7.48)/g1^3 + (g1^3*t^7.52)/g2^6 + (g2^12*t^7.52)/g1^3 + (2*g1^3*t^7.55)/g2^3 + (2*g2^15*t^7.55)/g1^3 + (3*t^7.96)/g2^5 + (3*t^7.98)/g2^2 + g2*t^8.01 + 12*g2^4*t^8.03 + 8*g2^7*t^8.06 + 3*g2^10*t^8.08 + g2^13*t^8.1 - (g1^3*t^8.47)/g2^13 - (g2^5*t^8.47)/g1^3 - (g1^3*t^8.49)/g2^10 - (g2^8*t^8.49)/g1^3 + (g1^3*t^8.52)/g2^7 + (g2^11*t^8.52)/g1^3 + (2*g1^3*t^8.54)/g2^4 + (2*g2^14*t^8.54)/g1^3 + (2*g1^3*t^8.56)/g2 + (2*g2^17*t^8.56)/g1^3 + g1^3*g2^2*t^8.59 + (g2^20*t^8.59)/g1^3 + (4*t^8.93)/g2^9 - (4*t^8.98)/g2^3 + t^8.98/(g2^3*y^2) - t^3.99/(g2*y) - t^4.98/(g2^2*y) - t^6./y - (2*t^6.97)/(g2^4*y) - (2*t^6.99)/(g2*y) - (g2^2*t^7.02)/y - (g2^5*t^7.04)/y - (2*t^7.96)/(g2^5*y) + (2*t^7.98)/(g2^2*y) - (g2*t^8.01)/y + (g2^7*t^8.06)/y + t^8.95/(g2^6*y) - (t^3.99*y)/g2 - (t^4.98*y)/g2^2 - t^6.*y - (2*t^6.97*y)/g2^4 - (2*t^6.99*y)/g2 - g2^2*t^7.02*y - g2^5*t^7.04*y - (2*t^7.96*y)/g2^5 + (2*t^7.98*y)/g2^2 - g2*t^8.01*y + g2^7*t^8.06*y + (t^8.95*y)/g2^6 + (t^8.98*y^2)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 61019 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.4248 | 1.6034 | 0.8886 | [X:[1.4286], M:[0.8571, 0.7143], q:[0.5, 0.6429], qb:[0.5, 0.6429], phi:[0.2857]] | t^2.14 + 2*t^2.57 + t^3. + t^3.43 + t^3.86 + 4*t^4.29 + 4*t^4.71 + 6*t^5.14 + 2*t^5.57 + 2*t^5.79 - t^3.86/y - t^4.71/y - t^6./y - t^3.86*y - t^4.71*y - t^6.*y | detail | {a: 15639/10976, c: 17599/10976, X1: 10/7, M1: 6/7, M2: 5/7, q1: 1/2, q2: 9/14, qb1: 1/2, qb2: 9/14, phi1: 2/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 57622 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.4759 | 1.6848 | 0.876 | [X:[1.3387], M:[0.9553, 0.6693], q:[0.4818, 0.5265], qb:[0.5182, 0.4896], phi:[0.3307]] | t^2.01 + t^2.87 + t^2.91 + t^2.98 + t^3. + t^3.05 + t^3.91 + 2*t^4.02 + t^4.04 + t^4.13 + t^4.87 + t^4.9 + t^4.92 + 2*t^4.98 + t^5.01 + t^5.03 + t^5.06 + t^5.12 + t^5.46 + t^5.48 + t^5.57 + t^5.6 + t^5.73 + t^5.78 + t^5.83 + t^5.84 + t^5.89 + 2*t^5.91 + t^5.95 + t^5.96 + t^5.98 - 3*t^6. - t^3.99/y - t^4.98/y - t^6./y - t^3.99*y - t^4.98*y - t^6.*y | detail |