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 |
|---|---|---|---|---|---|---|---|---|---|
| 45761 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1^2q_1\tilde{q}_1$ | 0.9308 | 0.9942 | 0.9362 | [X:[1.6337, 1.4506], M:[0.7326], q:[0.4506], qb:[0.4506], phi:[0.1831]] | [X:[[0, 2], [0, 3]], M:[[0, -4]], q:[[-1, 6]], qb:[[1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ X_2$, $ M_1^2$, $ M_1q_1\tilde{q}_1$, $ X_1$, $ q_1^2\tilde{q}_1^2$, $ M_1\phi_1q_1\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^3$, $ \phi_1^3q_1^3$, $ \phi_1q_1^2\tilde{q}_1^2$ | . | -2 | t^2.2 + t^2.7 + t^3.25 + t^4.35 + t^4.4 + 2*t^4.9 + t^5.41 + t^5.45 + 2*t^5.7 + t^5.96 - 2*t^6. + t^6.51 + t^6.59 + t^7.05 + 2*t^7.1 + 3*t^7.6 + 2*t^7.65 + t^8.11 + t^8.15 - t^8.2 + 2*t^8.41 - 2*t^8.45 + t^8.66 - t^8.7 - t^8.75 + t^8.79 + 2*t^8.96 + t^7.65/y^2 - t^8.75/y^2 - t^3.55/y - t^4.1/y - t^5.75/y - t^6.25/y - t^6.3/y - t^6.8/y + t^7.9/y - t^7.95/y - t^8.45/y - t^8.49/y - t^3.55*y - t^4.1*y - t^5.75*y - t^6.25*y - t^6.3*y - t^6.8*y + t^7.9*y - t^7.95*y - t^8.45*y - t^8.49*y + t^7.65*y^2 - t^8.75*y^2 | t^2.2/g2^4 + g2^6*t^2.7 + g2^5*t^3.25 + g2^3*t^4.35 + t^4.4/g2^8 + 2*g2^2*t^4.9 + g2^12*t^5.41 + g2*t^5.45 + (g1^3*t^5.7)/g2^3 + (g2^15*t^5.7)/g1^3 + g2^11*t^5.96 - 2*t^6. + g2^10*t^6.51 + t^6.59/g2^12 + g2^9*t^7.05 + (2*t^7.1)/g2^2 + 3*g2^8*t^7.6 + (2*t^7.65)/g2^3 + g2^18*t^8.11 + g2^7*t^8.15 - t^8.2/g2^4 + g1^3*g2^3*t^8.41 + (g2^21*t^8.41)/g1^3 - (g1^3*t^8.45)/g2^8 - (g2^10*t^8.45)/g1^3 + g2^17*t^8.66 - g2^6*t^8.7 - t^8.75/g2^5 + t^8.79/g2^16 + g1^3*g2^2*t^8.96 + (g2^20*t^8.96)/g1^3 + t^7.65/(g2^3*y^2) - t^8.75/(g2^5*y^2) - t^3.55/(g2*y) - t^4.1/(g2^2*y) - t^5.75/(g2^5*y) - (g2^5*t^6.25)/y - t^6.3/(g2^6*y) - (g2^4*t^6.8)/y + (g2^2*t^7.9)/y - t^7.95/(g2^9*y) - (g2*t^8.45)/y - t^8.49/(g2^10*y) - (t^3.55*y)/g2 - (t^4.1*y)/g2^2 - (t^5.75*y)/g2^5 - g2^5*t^6.25*y - (t^6.3*y)/g2^6 - g2^4*t^6.8*y + g2^2*t^7.9*y - (t^7.95*y)/g2^9 - g2*t^8.45*y - (t^8.49*y)/g2^10 + (t^7.65*y^2)/g2^3 - (t^8.75*y^2)/g2^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45772 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1^2q_1\tilde{q}_1$ + $ M_1^2$ + $ q_1\tilde{q}_1X_3$ | 0.7808 | 0.8589 | 0.909 | [X:[1.5, 1.25, 1.5], M:[1.0], q:[0.25], qb:[0.25], phi:[0.25]] | t^2.25 + t^3. + t^3.75 + 5*t^4.5 + t^5.25 - t^3.75/y - t^4.5/y - t^3.75*y - t^4.5*y | detail | {a: 1599/2048, c: 1759/2048, X1: 3/2, X2: 5/4, X3: 3/2, M1: 1, q1: 1/4, qb1: 1/4, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45755 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ | 0.9113 | 0.9605 | 0.9488 | [X:[1.6284, 1.4426], M:[], q:[0.4426], qb:[0.4426], phi:[0.1858]] | t^2.66 + t^3.21 + t^3.77 + t^4.33 + t^4.89 + t^5.31 + 2*t^5.66 + t^5.87 - 2*t^6. - t^3.56/y - t^4.11/y - t^3.56*y - t^4.11*y | detail |