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 |
|---|---|---|---|---|---|---|---|---|---|
| 1585 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.6467 | 0.8249 | 0.784 | [X:[], M:[1.2339, 1.1169, 0.7661, 0.8831, 0.7661, 0.7339, 1.1492], q:[0.75, 0.3992], qb:[0.3669, 0.4839], phi:[0.5]] | [X:[], M:[[2], [1], [-2], [-1], [-2], [2], [-3]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ M_5$, $ M_4$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ M_7$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_6$, $ M_5M_6$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_4M_6$, $ M_3M_4$, $ M_4M_5$, $ M_6\phi_1^2$, $ M_4^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_6q_1\tilde{q}_1$, $ M_6M_7$, $ M_4\phi_1^2$, $ M_6q_1q_2$, $ M_3q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ M_3M_7$, $ M_5M_7$, $ M_3q_1q_2$, $ M_5q_1q_2$ | $M_4q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$ | 0 | t^2.2 + 2*t^2.3 + t^2.65 + t^3. + t^3.35 + 2*t^3.45 + t^3.7 + t^3.9 + t^4.05 + t^4.15 + 2*t^4.4 + 2*t^4.5 + 3*t^4.6 + t^4.85 + 2*t^4.95 + t^5.2 + 3*t^5.3 + t^5.55 + 4*t^5.65 + 3*t^5.75 + 2*t^6.1 + 2*t^6.19 + 2*t^6.35 + 2*t^6.45 + t^6.54 + 2*t^6.6 + 4*t^6.7 + 4*t^6.8 + 7*t^6.9 + 2*t^7.05 + t^7.15 + 2*t^7.25 + 2*t^7.34 + t^7.4 + 2*t^7.5 + 5*t^7.6 + t^7.75 + t^7.79 + 3*t^7.85 + 6*t^7.95 + 5*t^8.04 + t^8.1 - 3*t^8.2 + 2*t^8.3 + 3*t^8.4 + t^8.46 + 3*t^8.49 + 4*t^8.75 + 3*t^8.81 + 2*t^8.84 + 2*t^8.9 - t^4.5/y - t^6.7/y - t^6.8/y + t^7.05/y + (2*t^7.5)/y + t^7.6/y + t^7.85/y + t^7.95/y + (2*t^8.2)/y + (3*t^8.3)/y + t^8.55/y + (5*t^8.65)/y + (4*t^8.75)/y - t^4.5*y - t^6.7*y - t^6.8*y + t^7.05*y + 2*t^7.5*y + t^7.6*y + t^7.85*y + t^7.95*y + 2*t^8.2*y + 3*t^8.3*y + t^8.55*y + 5*t^8.65*y + 4*t^8.75*y | g1^2*t^2.2 + (2*t^2.3)/g1^2 + t^2.65/g1 + t^3. + g1*t^3.35 + (2*t^3.45)/g1^3 + g1^2*t^3.7 + t^3.9/g1^6 + g1^3*t^4.05 + t^4.15/g1 + 2*g1^4*t^4.4 + 2*t^4.5 + (3*t^4.6)/g1^4 + g1*t^4.85 + (2*t^4.95)/g1^3 + g1^2*t^5.2 + (3*t^5.3)/g1^2 + g1^3*t^5.55 + (4*t^5.65)/g1 + (3*t^5.75)/g1^5 + (2*t^6.1)/g1^4 + (2*t^6.19)/g1^8 + 2*g1*t^6.35 + (2*t^6.45)/g1^3 + t^6.54/g1^7 + 2*g1^6*t^6.6 + 4*g1^2*t^6.7 + (4*t^6.8)/g1^2 + (7*t^6.9)/g1^6 + 2*g1^3*t^7.05 + t^7.15/g1 + (2*t^7.25)/g1^5 + (2*t^7.34)/g1^9 + g1^4*t^7.4 + 2*t^7.5 + (5*t^7.6)/g1^4 + g1^5*t^7.75 + t^7.79/g1^12 + 3*g1*t^7.85 + (6*t^7.95)/g1^3 + (5*t^8.04)/g1^7 + g1^6*t^8.1 - 3*g1^2*t^8.2 + (2*t^8.3)/g1^2 + (3*t^8.4)/g1^6 + g1^7*t^8.46 + (3*t^8.49)/g1^10 + (4*t^8.75)/g1^5 + 3*g1^8*t^8.81 + (2*t^8.84)/g1^9 + 2*g1^4*t^8.9 - t^4.5/y - (g1^2*t^6.7)/y - t^6.8/(g1^2*y) + (g1^3*t^7.05)/y + (2*t^7.5)/y + t^7.6/(g1^4*y) + (g1*t^7.85)/y + t^7.95/(g1^3*y) + (2*g1^2*t^8.2)/y + (3*t^8.3)/(g1^2*y) + (g1^3*t^8.55)/y + (5*t^8.65)/(g1*y) + (4*t^8.75)/(g1^5*y) - t^4.5*y - g1^2*t^6.7*y - (t^6.8*y)/g1^2 + g1^3*t^7.05*y + 2*t^7.5*y + (t^7.6*y)/g1^4 + g1*t^7.85*y + (t^7.95*y)/g1^3 + 2*g1^2*t^8.2*y + (3*t^8.3*y)/g1^2 + g1^3*t^8.55*y + (5*t^8.65*y)/g1 + (4*t^8.75*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3971 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\tilde{q}_1\tilde{q}_2$ + $ M_8q_1\tilde{q}_1$ | 0.6574 | 0.8436 | 0.7793 | [X:[], M:[1.2396, 1.1198, 0.7604, 0.8802, 0.7604, 0.7396, 1.1406, 0.8802], q:[0.75, 0.3906], qb:[0.3698, 0.4896], phi:[0.5]] | t^2.22 + 2*t^2.28 + 2*t^2.64 + t^3. + 2*t^3.42 + t^3.72 + t^3.84 + t^4.08 + t^4.14 + 2*t^4.44 + 2*t^4.5 + 3*t^4.56 + 2*t^4.86 + 4*t^4.92 + t^5.22 + 5*t^5.28 + 3*t^5.64 + 3*t^5.7 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 516983/786432, c: 663415/786432, M1: 119/96, M2: 215/192, M3: 73/96, M4: 169/192, M5: 73/96, M6: 71/96, M7: 73/64, M8: 169/192, q1: 3/4, q2: 25/64, qb1: 71/192, qb2: 47/96, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1014 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6606 | 0.8481 | 0.7789 | [X:[], M:[1.2191, 1.1096, 0.7809, 0.8904, 0.7809, 0.7191], q:[0.75, 0.4213], qb:[0.3596, 0.4691], phi:[0.5]] | t^2.16 + 2*t^2.34 + t^2.49 + t^2.67 + t^3. + t^3.33 + t^3.51 + t^3.66 + t^3.99 + t^4.03 + t^4.17 + 2*t^4.31 + 2*t^4.5 + t^4.64 + 3*t^4.69 + 3*t^4.83 + t^4.97 + 2*t^5.01 + 2*t^5.16 + 3*t^5.34 + 2*t^5.49 + 3*t^5.67 + t^5.81 + t^5.86 + t^6. - t^4.5/y - t^4.5*y | detail |