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 |
|---|---|---|---|---|---|---|---|---|---|
| 45771 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \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]] | [X:[[0, 2], [0, 3]], M:[[0, -5], [0, -4]], q:[[-1, 6]], qb:[[1, 0]], phi:[[0, -1]]] | 2 | {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} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ q_1\tilde{q}_1$, $ M_2^2$, $ X_2$, $ M_1M_2$, $ M_2q_1\tilde{q}_1$, $ 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^2.11 + 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^6.33 + t^6.86 + 3*t^7.06 + t^7.25 + t^7.39 + 3*t^7.58 + 2*t^7.78 + t^7.92 + t^8.44 + t^8.5 - 3*t^8.64 + 2*t^8.67 - 2*t^8.83 + t^8.97 + t^7.58/y^2 - t^8.64/y^2 - t^3.53/y - t^4.06/y - t^5.64/y - (2*t^6.17)/y - t^6.36/y - t^6.69/y + t^7.42/y + t^7.94/y - (2*t^8.28)/y - t^8.47/y - (2*t^8.81)/y - t^3.53*y - t^4.06*y - t^5.64*y - 2*t^6.17*y - t^6.36*y - t^6.69*y + t^7.42*y + t^7.94*y - 2*t^8.28*y - t^8.47*y - 2*t^8.81*y + t^7.58*y^2 - t^8.64*y^2 | t^2.11/g2^4 + t^2.64/g2^5 + g2^6*t^2.83 + t^4.22/g2^8 + g2^3*t^4.42 + t^4.75/g2^9 + 2*g2^2*t^4.94 + t^5.28/g2^10 + g2*t^5.47 + g2^12*t^5.67 + (g1^3*t^5.83)/g2^3 + (g2^15*t^5.83)/g1^3 - 2*t^6. + t^6.33/g2^12 + t^6.86/g2^13 + (3*t^7.06)/g2^2 + g2^9*t^7.25 + t^7.39/g2^14 + (3*t^7.58)/g2^3 + 2*g2^8*t^7.78 + t^7.92/g2^15 + t^8.44/g2^16 + g2^18*t^8.5 - (3*t^8.64)/g2^5 + g1^3*g2^3*t^8.67 + (g2^21*t^8.67)/g1^3 - 2*g2^6*t^8.83 + t^8.97/g2^17 + t^7.58/(g2^3*y^2) - t^8.64/(g2^5*y^2) - t^3.53/(g2*y) - t^4.06/(g2^2*y) - t^5.64/(g2^5*y) - (2*t^6.17)/(g2^6*y) - (g2^5*t^6.36)/y - t^6.69/(g2^7*y) + (g2^3*t^7.42)/y + (g2^2*t^7.94)/y - (2*t^8.28)/(g2^10*y) - (g2*t^8.47)/y - (2*t^8.81)/(g2^11*y) - (t^3.53*y)/g2 - (t^4.06*y)/g2^2 - (t^5.64*y)/g2^5 - (2*t^6.17*y)/g2^6 - g2^5*t^6.36*y - (t^6.69*y)/g2^7 + g2^3*t^7.42*y + g2^2*t^7.94*y - (2*t^8.28*y)/g2^10 - g2*t^8.47*y - (2*t^8.81*y)/g2^11 + (t^7.58*y^2)/g2^3 - (t^8.64*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 |
|---|---|---|---|---|---|---|---|---|
| 45784 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1q_1\tilde{q}_1$ + $ M_2\phi_1^2q_1\tilde{q}_1$ + $ M_1M_2$ + $ q_1\tilde{q}_1X_3$ | 0.8542 | 0.9167 | 0.9318 | [X:[1.5556, 1.3333, 1.3333], M:[1.1111, 0.8889], q:[0.3333], qb:[0.3333], phi:[0.2222]] | t^2.67 + t^3.33 + 2*t^4. + t^4.67 + 2*t^5. + t^5.33 - t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y | detail | {a: 41/48, c: 11/12, X1: 14/9, X2: 4/3, X3: 4/3, M1: 10/9, M2: 8/9, q1: 1/3, qb1: 1/3, phi1: 2/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^3.53/y - t^4.06/y - t^3.53*y - t^4.06*y | detail |