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 |
|---|---|---|---|---|---|---|---|---|---|
| 5328 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2M_7$ + $ M_1X_1$ + $ M_2M_8$ | 0.6037 | 0.7545 | 0.8 | [X:[1.4139], M:[0.5861, 1.0139, 0.7723, 0.8277, 1.2, 0.8, 0.9861, 0.9861], q:[0.9208, 0.4931], qb:[0.3069, 0.6792], phi:[0.4]] | [X:[[2]], M:[[-2], [2], [-4], [4], [0], [0], [-2], [-2]], q:[[3], [-1]], qb:[[1], [-3]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_6$, $ \phi_1^2$, $ M_4$, $ M_7$, $ M_8$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_3^2$, $ M_3M_6$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ q_1\tilde{q}_2$, $ M_4M_6$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ M_3M_7$, $ M_3M_8$, $ \phi_1\tilde{q}_2^2$, $ M_6M_7$, $ M_6M_8$, $ M_7\phi_1^2$, $ M_8\phi_1^2$, $ M_4M_7$, $ M_4M_8$, $ \phi_1q_1q_2$, $ M_7^2$, $ M_7M_8$, $ M_8^2$, $ M_3\phi_1q_2\tilde{q}_1$ | $M_6\phi_1q_2\tilde{q}_1$, $ \phi_1^3q_2\tilde{q}_1$ | -1 | t^2.32 + 2*t^2.4 + t^2.48 + 2*t^2.96 + t^3.6 + t^4.16 + t^4.24 + t^4.63 + 2*t^4.72 + 5*t^4.8 + 2*t^4.88 + t^4.97 + 2*t^5.28 + 3*t^5.36 + t^5.44 + 3*t^5.92 - t^6. + t^6.48 + 2*t^6.56 + t^6.72 + t^6.95 + 2*t^7.03 + 5*t^7.12 + 6*t^7.2 + 3*t^7.28 + 2*t^7.37 + t^7.45 + 2*t^7.59 + 3*t^7.68 + 5*t^7.76 - t^7.84 + t^7.92 + 3*t^8.23 + t^8.32 - 2*t^8.4 - 3*t^8.48 + t^8.79 + 4*t^8.88 - 3*t^8.96 - t^4.2/y - t^6.52/y - t^6.6/y - t^6.68/y - t^7.16/y + t^7.24/y + (3*t^7.72)/y + (3*t^7.8)/y + (3*t^7.88)/y + (2*t^8.28)/y + (4*t^8.36)/y + (2*t^8.44)/y - t^8.83/y + t^8.92/y - t^4.2*y - t^6.52*y - t^6.6*y - t^6.68*y - t^7.16*y + t^7.24*y + 3*t^7.72*y + 3*t^7.8*y + 3*t^7.88*y + 2*t^8.28*y + 4*t^8.36*y + 2*t^8.44*y - t^8.83*y + t^8.92*y | t^2.32/g1^4 + 2*t^2.4 + g1^4*t^2.48 + (2*t^2.96)/g1^2 + t^3.6 + t^4.16/g1^2 + g1^2*t^4.24 + t^4.63/g1^8 + (2*t^4.72)/g1^4 + 5*t^4.8 + 2*g1^4*t^4.88 + g1^8*t^4.97 + (2*t^5.28)/g1^6 + (3*t^5.36)/g1^2 + g1^2*t^5.44 + (3*t^5.92)/g1^4 - t^6. + t^6.48/g1^6 + (2*t^6.56)/g1^2 + g1^6*t^6.72 + t^6.95/g1^12 + (2*t^7.03)/g1^8 + (5*t^7.12)/g1^4 + 6*t^7.2 + 3*g1^4*t^7.28 + 2*g1^8*t^7.37 + g1^12*t^7.45 + (2*t^7.59)/g1^10 + (3*t^7.68)/g1^6 + (5*t^7.76)/g1^2 - g1^2*t^7.84 + g1^6*t^7.92 + (3*t^8.23)/g1^8 + t^8.32/g1^4 - 2*t^8.4 - 3*g1^4*t^8.48 + t^8.79/g1^10 + (4*t^8.88)/g1^6 - (3*t^8.96)/g1^2 - t^4.2/y - t^6.52/(g1^4*y) - t^6.6/y - (g1^4*t^6.68)/y - t^7.16/(g1^2*y) + (g1^2*t^7.24)/y + (3*t^7.72)/(g1^4*y) + (3*t^7.8)/y + (3*g1^4*t^7.88)/y + (2*t^8.28)/(g1^6*y) + (4*t^8.36)/(g1^2*y) + (2*g1^2*t^8.44)/y - t^8.83/(g1^8*y) + t^8.92/(g1^4*y) - t^4.2*y - (t^6.52*y)/g1^4 - t^6.6*y - g1^4*t^6.68*y - (t^7.16*y)/g1^2 + g1^2*t^7.24*y + (3*t^7.72*y)/g1^4 + 3*t^7.8*y + 3*g1^4*t^7.88*y + (2*t^8.28*y)/g1^6 + (4*t^8.36*y)/g1^2 + 2*g1^2*t^8.44*y - (t^8.83*y)/g1^8 + (t^8.92*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6847 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2M_7$ + $ M_1X_1$ + $ M_2M_8$ + $ M_9\phi_1q_2\tilde{q}_1$ | 0.6202 | 0.7835 | 0.7915 | [X:[1.4139], M:[0.5861, 1.0139, 0.7723, 0.8277, 1.2, 0.8, 0.9861, 0.9861, 0.8], q:[0.9208, 0.4931], qb:[0.3069, 0.6792], phi:[0.4]] | t^2.32 + 3*t^2.4 + t^2.48 + 2*t^2.96 + t^4.16 + t^4.24 + t^4.63 + 3*t^4.72 + 8*t^4.8 + 3*t^4.88 + t^4.97 + 2*t^5.28 + 5*t^5.36 + t^5.44 + 2*t^5.92 - 3*t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3620 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2M_7$ + $ M_1X_1$ | 0.603 | 0.753 | 0.8008 | [X:[1.4], M:[0.6, 1.0, 0.8, 0.8, 1.2, 0.8, 1.0], q:[0.9, 0.5], qb:[0.3, 0.7], phi:[0.4]] | 4*t^2.4 + 2*t^3. + t^3.6 + 2*t^4.2 + 11*t^4.8 + 6*t^5.4 + 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 603/1000, c: 753/1000, X1: 7/5, M1: 3/5, M2: 1, M3: 4/5, M4: 4/5, M5: 6/5, M6: 4/5, M7: 1, q1: 9/10, q2: 1/2, qb1: 3/10, qb2: 7/10, phi1: 2/5} |