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 |
|---|---|---|---|---|---|---|---|---|---|
| 46249 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ + $ M_2q_1\tilde{q}_2$ | 0.6296 | 0.7921 | 0.7949 | [X:[], M:[1.1, 0.8], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | [X:[], M:[[0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 5037/8000, c: 6337/8000, M1: 11/10, M2: 4/5, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_2q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $q_1q_2^2\tilde{q}_1$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | 1 | 3*t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + 6*t^4.8 + 3*t^5.4 + 4*t^5.7 + t^6. + 4*t^6.3 + 9*t^6.6 + 2*t^6.9 + 12*t^7.2 + 2*t^7.5 + 7*t^7.8 + 8*t^8.1 + 2*t^8.4 + 4*t^8.7 - t^4.5/y - t^6.9/y + t^7.2/y + (2*t^7.8)/y + t^8.1/y + (3*t^8.4)/y + (6*t^8.7)/y - t^4.5*y - t^6.9*y + t^7.2*y + 2*t^7.8*y + t^8.1*y + 3*t^8.4*y + 6*t^8.7*y | 3*t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + 6*t^4.8 + 3*t^5.4 + 4*t^5.7 + t^6. + 4*t^6.3 + 9*t^6.6 + 2*t^6.9 + 12*t^7.2 + 2*t^7.5 + 7*t^7.8 + 8*t^8.1 + 2*t^8.4 + 4*t^8.7 - t^4.5/y - t^6.9/y + t^7.2/y + (2*t^7.8)/y + t^8.1/y + (3*t^8.4)/y + (6*t^8.7)/y - t^4.5*y - t^6.9*y + t^7.2*y + 2*t^7.8*y + t^8.1*y + 3*t^8.4*y + 6*t^8.7*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 46510 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ + $ M_2q_1\tilde{q}_2$ + $ M_2M_3$ | 0.6131 | 0.7631 | 0.8034 | [X:[], M:[1.1, 0.8, 1.2], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | 2*t^2.4 + t^3. + 2*t^3.3 + 3*t^3.6 + 2*t^3.9 + 3*t^4.2 + 3*t^4.8 + 2*t^5.4 + 2*t^5.7 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 981/1600, c: 1221/1600, M1: 11/10, M2: 4/5, M3: 6/5, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46059 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ | 0.6306 | 0.7937 | 0.7946 | [X:[], M:[1.1085, 0.7829], q:[0.75, 0.4671], qb:[0.3585, 0.4244], phi:[0.5]] | 2*t^2.35 + t^2.48 + t^3. + 2*t^3.33 + t^3.52 + t^3.65 + t^3.85 + t^3.98 + t^4.05 + t^4.17 + t^4.3 + 3*t^4.7 + 2*t^4.83 + t^4.95 + 2*t^5.35 + t^5.48 + 3*t^5.67 + t^5.8 + t^5.87 - t^4.5/y - t^4.5*y | detail | {a: 895529/1420032, c: 1127041/1420032, M1: 143/129, M2: 101/129, q1: 3/4, q2: 241/516, qb1: 185/516, qb2: 73/172, phi1: 1/2} |