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 |
|---|---|---|---|---|---|---|---|---|---|
| 3971 | 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$ + $ 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]] | [X:[], M:[[2], [1], [-2], [-1], [-2], [2], [-3], [-1]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 | {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} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ M_5$, $ M_4$, $ M_8$, $ \phi_1^2$, $ 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_6M_8$, $ M_3M_4$, $ M_4M_5$, $ M_3M_8$, $ M_5M_8$, $ M_6\phi_1^2$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_6M_7$, $ M_4\phi_1^2$, $ M_8\phi_1^2$, $ M_6q_1q_2$, $ M_3M_7$, $ M_5M_7$, $ M_3q_1q_2$, $ M_5q_1q_2$ | $M_3q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$ | -1 | 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. + 4*t^6.06 + 2*t^6.13 + 2*t^6.36 + 2*t^6.42 + 2*t^6.48 + 2*t^6.66 + 4*t^6.72 + 3*t^6.78 + 7*t^6.84 + 3*t^7.08 + 3*t^7.14 + 4*t^7.2 + 2*t^7.27 + 3*t^7.5 + 9*t^7.56 + t^7.69 - t^7.8 + 2*t^7.86 + 8*t^7.92 + 5*t^7.98 + t^8.16 - 4*t^8.22 + 3*t^8.28 + 6*t^8.34 + 3*t^8.41 + t^8.52 - t^8.58 - 4*t^8.64 + 8*t^8.7 + 4*t^8.77 + t^8.87 + 2*t^8.88 + t^8.94 - t^4.5/y - t^6.72/y - t^6.78/y + t^7.08/y - t^7.14/y + (2*t^7.5)/y + t^7.56/y + (3*t^7.86)/y + (3*t^7.92)/y + (2*t^8.22)/y + (4*t^8.28)/y + (4*t^8.64)/y + (4*t^8.7)/y - t^4.5*y - t^6.72*y - t^6.78*y + t^7.08*y - t^7.14*y + 2*t^7.5*y + t^7.56*y + 3*t^7.86*y + 3*t^7.92*y + 2*t^8.22*y + 4*t^8.28*y + 4*t^8.64*y + 4*t^8.7*y | g1^2*t^2.22 + (2*t^2.28)/g1^2 + (2*t^2.64)/g1 + t^3. + (2*t^3.42)/g1^3 + g1^2*t^3.72 + t^3.84/g1^6 + g1^3*t^4.08 + t^4.14/g1 + 2*g1^4*t^4.44 + 2*t^4.5 + (3*t^4.56)/g1^4 + 2*g1*t^4.86 + (4*t^4.92)/g1^3 + g1^2*t^5.22 + (5*t^5.28)/g1^2 + (3*t^5.64)/g1 + (3*t^5.7)/g1^5 - t^6. + (4*t^6.06)/g1^4 + (2*t^6.13)/g1^8 + 2*g1*t^6.36 + (2*t^6.42)/g1^3 + (2*t^6.48)/g1^7 + 2*g1^6*t^6.66 + 4*g1^2*t^6.72 + (3*t^6.78)/g1^2 + (7*t^6.84)/g1^6 + 3*g1^3*t^7.08 + (3*t^7.14)/g1 + (4*t^7.2)/g1^5 + (2*t^7.27)/g1^9 + 3*t^7.5 + (9*t^7.56)/g1^4 + t^7.69/g1^12 - g1^5*t^7.8 + 2*g1*t^7.86 + (8*t^7.92)/g1^3 + (5*t^7.98)/g1^7 + g1^6*t^8.16 - 4*g1^2*t^8.22 + (3*t^8.28)/g1^2 + (6*t^8.34)/g1^6 + (3*t^8.41)/g1^10 + g1^7*t^8.52 - g1^3*t^8.58 - (4*t^8.64)/g1 + (8*t^8.7)/g1^5 + (4*t^8.77)/g1^9 + g1^8*t^8.87 + 2*g1^8*t^8.88 + g1^4*t^8.94 - t^4.5/y - (g1^2*t^6.72)/y - t^6.78/(g1^2*y) + (g1^3*t^7.08)/y - t^7.14/(g1*y) + (2*t^7.5)/y + t^7.56/(g1^4*y) + (3*g1*t^7.86)/y + (3*t^7.92)/(g1^3*y) + (2*g1^2*t^8.22)/y + (4*t^8.28)/(g1^2*y) + (4*t^8.64)/(g1*y) + (4*t^8.7)/(g1^5*y) - t^4.5*y - g1^2*t^6.72*y - (t^6.78*y)/g1^2 + g1^3*t^7.08*y - (t^7.14*y)/g1 + 2*t^7.5*y + (t^7.56*y)/g1^4 + 3*g1*t^7.86*y + (3*t^7.92*y)/g1^3 + 2*g1^2*t^8.22*y + (4*t^8.28*y)/g1^2 + (4*t^8.64*y)/g1 + (4*t^8.7*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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 - t^4.5/y - t^4.5*y | detail |