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 |
|---|---|---|---|---|---|---|---|---|---|
| 46215 | 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_3q_1q_2$ | 0.6483 | 0.8256 | 0.7853 | [X:[], M:[1.1122, 0.7757, 0.7757], q:[0.75, 0.4743], qb:[0.3622, 0.4135], phi:[0.5]] | [X:[], M:[[-1], [2], [2]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1M_2$, $ M_1M_3$, $ M_2q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_1$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ q_1q_2\tilde{q}_1^2$ | . | -2 | 3*t^2.33 + t^2.51 + t^3. + 2*t^3.34 + t^3.49 + t^3.83 + t^3.98 + t^4.01 + t^4.16 + t^4.35 + 6*t^4.65 + 3*t^4.84 + t^5.02 + 3*t^5.33 + t^5.51 + 5*t^5.66 + 2*t^5.82 + t^5.85 - 2*t^6. + 2*t^6.15 - t^6.18 + 3*t^6.31 + 3*t^6.34 + 3*t^6.49 + t^6.52 + 4*t^6.67 + t^6.83 + t^6.86 + 11*t^6.98 - t^7.01 + 5*t^7.16 + t^7.32 + 3*t^7.35 + t^7.47 - t^7.5 + t^7.53 + 5*t^7.65 + t^7.81 + t^7.84 + t^7.96 + 9*t^7.99 + t^8.02 + 4*t^8.14 + 2*t^8.17 - 6*t^8.33 + 2*t^8.36 + 3*t^8.48 - 4*t^8.51 + 6*t^8.64 + 4*t^8.66 + 5*t^8.82 + 2*t^8.85 - t^4.5/y - (2*t^6.83)/y + t^7.16/y + (3*t^7.65)/y + (2*t^7.84)/y + (2*t^8.17)/y + (3*t^8.33)/y + t^8.51/y + (6*t^8.66)/y + (3*t^8.82)/y + (2*t^8.85)/y - t^4.5*y - 2*t^6.83*y + t^7.16*y + 3*t^7.65*y + 2*t^7.84*y + 2*t^8.17*y + 3*t^8.33*y + t^8.51*y + 6*t^8.66*y + 3*t^8.82*y + 2*t^8.85*y | 3*g1^2*t^2.33 + t^2.51/g1^3 + t^3. + (2*t^3.34)/g1 + g1^3*t^3.49 + g1^2*t^3.83 + g1^6*t^3.98 + t^4.01/g1^3 + g1*t^4.16 + t^4.35/g1^4 + 6*g1^4*t^4.65 + (3*t^4.84)/g1 + t^5.02/g1^6 + 3*g1^2*t^5.33 + t^5.51/g1^3 + 5*g1*t^5.66 + 2*g1^5*t^5.82 + t^5.85/g1^4 - 2*t^6. + 2*g1^4*t^6.15 - t^6.18/g1^5 + 3*g1^8*t^6.31 + (3*t^6.34)/g1 + 3*g1^3*t^6.49 + t^6.52/g1^6 + (4*t^6.67)/g1^2 + g1^2*t^6.83 + t^6.86/g1^7 + 11*g1^6*t^6.98 - t^7.01/g1^3 + 5*g1*t^7.16 + g1^5*t^7.32 + (3*t^7.35)/g1^4 + g1^9*t^7.47 - t^7.5 + t^7.53/g1^9 + 5*g1^4*t^7.65 + g1^8*t^7.81 + t^7.84/g1 + g1^12*t^7.96 + 9*g1^3*t^7.99 + t^8.02/g1^6 + 4*g1^7*t^8.14 + (2*t^8.17)/g1^2 - 6*g1^2*t^8.33 + (2*t^8.36)/g1^7 + 3*g1^6*t^8.48 - (4*t^8.51)/g1^3 + 6*g1^10*t^8.64 + 4*g1*t^8.66 + 5*g1^5*t^8.82 + (2*t^8.85)/g1^4 - t^4.5/y - (2*g1^2*t^6.83)/y + (g1*t^7.16)/y + (3*g1^4*t^7.65)/y + (2*t^7.84)/(g1*y) + (2*t^8.17)/(g1^2*y) + (3*g1^2*t^8.33)/y + t^8.51/(g1^3*y) + (6*g1*t^8.66)/y + (3*g1^5*t^8.82)/y + (2*t^8.85)/(g1^4*y) - t^4.5*y - 2*g1^2*t^6.83*y + g1*t^7.16*y + 3*g1^4*t^7.65*y + (2*t^7.84*y)/g1 + (2*t^8.17*y)/g1^2 + 3*g1^2*t^8.33*y + (t^8.51*y)/g1^3 + 6*g1*t^8.66*y + 3*g1^5*t^8.82*y + (2*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 46502 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ + $ M_3q_1q_2$ + $ M_2q_1\tilde{q}_2$ | 0.6461 | 0.8211 | 0.7869 | [X:[], M:[1.1, 0.8, 0.8], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | 4*t^2.4 + t^3. + 2*t^3.3 + t^3.6 + 2*t^3.9 + 3*t^4.2 + 10*t^4.8 + 4*t^5.4 + 6*t^5.7 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 5169/8000, c: 6569/8000, M1: 11/10, M2: 4/5, M3: 4/5, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
| 46486 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ + $ M_3q_1q_2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6691 | 0.8669 | 0.7718 | [X:[], M:[1.1117, 0.7765, 0.7765, 0.6704], q:[0.75, 0.4735], qb:[0.3617, 0.4148], phi:[0.5]] | t^2.01 + 3*t^2.33 + t^2.51 + t^3. + 2*t^3.34 + t^3.49 + t^3.83 + t^4.01 + t^4.02 + t^4.16 + 4*t^4.34 + t^4.52 + 6*t^4.66 + 3*t^4.84 + 2*t^5.01 + 3*t^5.33 + 2*t^5.35 + 2*t^5.51 + 5*t^5.66 + 2*t^5.82 + 2*t^5.84 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 46659 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ + $ M_3q_1q_2$ + $ M_4q_1\tilde{q}_1$ | 0.6585 | 0.8435 | 0.7807 | [X:[], M:[1.1149, 0.7702, 0.7702, 0.8851], q:[0.75, 0.4798], qb:[0.3649, 0.4053], phi:[0.5]] | 3*t^2.31 + t^2.53 + t^2.66 + t^3. + t^3.34 + t^3.47 + t^3.81 + t^3.93 + t^4.03 + t^4.16 + t^4.38 + 6*t^4.62 + 3*t^4.84 + 3*t^4.97 + t^5.07 + t^5.19 + 4*t^5.31 + t^5.53 + 3*t^5.66 + 2*t^5.78 - t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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} |