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 |
|---|---|---|---|---|---|---|---|---|---|
| 45759 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1q_1\tilde{q}_1$ | 0.9197 | 0.9681 | 0.95 | [X:[1.6452, 1.4678], M:[0.8871], q:[0.4678], qb:[0.4678], phi:[0.1774]] | [X:[[0, 2], [0, 3]], M:[[0, -5]], 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_1^2q_1\tilde{q}_1$, $ X_2$, $ X_1$, $ M_1^2$, $ M_1q_1\tilde{q}_1$, $ q_1^2\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^3$, $ \phi_1^3q_1^3$ | . | -2 | t^2.66 + t^2.81 + t^3.87 + t^4.4 + t^4.94 + t^5.32 + t^5.47 + t^5.61 + 2*t^5.81 - 2*t^6. + t^6.68 + t^7.06 + t^7.21 + 2*t^7.6 + 2*t^7.74 - 2*t^7.94 + t^7.98 + 2*t^8.13 + t^8.27 + t^8.42 + 2*t^8.61 - t^8.66 - t^8.81 + t^7.6/y^2 - t^3.53/y - t^4.06/y - t^6.19/y - t^6.34/y - t^6.73/y - t^7.94/y - t^8.85/y - t^3.53*y - t^4.06*y - t^6.19*y - t^6.34*y - t^6.73*y - t^7.94*y - t^8.85*y + t^7.6*y^2 | t^2.66/g2^5 + g2^6*t^2.81 + g2^4*t^3.87 + g2^3*t^4.4 + g2^2*t^4.94 + t^5.32/g2^10 + g2*t^5.47 + g2^12*t^5.61 + (g1^3*t^5.81)/g2^3 + (g2^15*t^5.81)/g1^3 - 2*t^6. + g2^10*t^6.68 + t^7.06/g2^2 + g2^9*t^7.21 + (2*t^7.6)/g2^3 + 2*g2^8*t^7.74 - (g1^3*t^7.94)/g2^7 - (g2^11*t^7.94)/g1^3 + t^7.98/g2^15 + (2*t^8.13)/g2^4 + g2^7*t^8.27 + g2^18*t^8.42 + g1^3*g2^3*t^8.61 + (g2^21*t^8.61)/g1^3 - t^8.66/g2^5 - g2^6*t^8.81 + t^7.6/(g2^3*y^2) - t^3.53/(g2*y) - t^4.06/(g2^2*y) - t^6.19/(g2^6*y) - (g2^5*t^6.34)/y - t^6.73/(g2^7*y) - (g2^2*t^7.94)/y - t^8.85/(g2^11*y) - (t^3.53*y)/g2 - (t^4.06*y)/g2^2 - (t^6.19*y)/g2^6 - g2^5*t^6.34*y - (t^6.73*y)/g2^7 - g2^2*t^7.94*y - (t^8.85*y)/g2^11 + (t^7.6*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 |
|---|---|---|---|---|---|---|---|---|
| 45767 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1q_1\tilde{q}_1$ + $ M_1^2$ | 0.906 | 0.9685 | 0.9355 | [X:[1.6, 1.4], M:[1.0], q:[0.4], qb:[0.4], phi:[0.2]] | t^2.4 + t^3. + t^3.6 + t^4.2 + 2*t^4.8 + 3*t^5.4 - t^3.6/y - t^4.2/y - t^6./y - t^3.6*y - t^4.2*y - t^6.*y | detail | {a: 453/500, c: 1937/2000, X1: 8/5, X2: 7/5, M1: 1, q1: 2/5, qb1: 2/5, phi1: 1/5} |
| 45771 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1q_1\tilde{q}_1$ + $ M_2\phi_1^2q_1\tilde{q}_1$ | 0.9401 | 1.0061 | 0.9344 | [X:[1.6481, 1.4722], M:[0.8796, 0.7037], q:[0.4722], qb:[0.4722], phi:[0.1759]] | t^2.11 + t^2.64 + t^2.83 + t^4.22 + t^4.42 + t^4.75 + 2*t^4.94 + t^5.28 + t^5.47 + t^5.67 + 2*t^5.83 - 2*t^6. - t^3.53/y - t^4.06/y - t^5.64/y - t^3.53*y - t^4.06*y - t^5.64*y | detail | {a: 361/384, c: 1159/1152, X1: 89/54, X2: 53/36, M1: 95/108, M2: 19/27, q1: 17/36, qb1: 17/36, phi1: 19/108} |
| 45770 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1q_1\tilde{q}_1$ + $ M_2q_1\tilde{q}_1$ | 0.9167 | 0.9583 | 0.9565 | [X:[1.6667, 1.5], M:[0.8333, 1.0], q:[0.5], qb:[0.5], phi:[0.1667]] | t^2.5 + t^3. + t^4. + t^4.5 + 2*t^5. + t^5.5 + t^6. - t^3.5/y - t^4./y - t^6./y - t^3.5*y - t^4.*y - t^6.*y | detail | {a: 11/12, c: 23/24, X1: 5/3, X2: 3/2, M1: 5/6, M2: 1, q1: 1/2, qb1: 1/2, phi1: 1/6} |
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 |