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 |
|---|---|---|---|---|---|---|---|---|---|
| 46580 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_1$ + $ M_2M_3$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_2$ | 0.5243 | 0.6766 | 0.775 | [X:[], M:[0.7819, 0.8272, 1.1728, 0.7366], q:[0.6317, 0.9774], qb:[0.1955, 0.6317], phi:[0.3909]] | [X:[], M:[[-4], [6], [-6], [-14]], q:[[7], [-5]], qb:[[-1], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ \phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ M_4^2$, $ M_1M_4$, $ M_4\phi_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_1^2$, $ M_2M_4$, $ M_1\phi_1^2$, $ \phi_1^4$, $ \phi_1^3\tilde{q}_1^2$, $ \phi_1^2\tilde{q}_1^4$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_2\phi_1^2$, $ q_1q_2$, $ M_2\phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^3\tilde{q}_2$, $ M_2^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3M_4$, $ M_1M_3$, $ M_3\phi_1^2$, $ M_3\phi_1\tilde{q}_1^2$ | . | -3 | t^2.21 + 3*t^2.35 + 2*t^2.48 + t^3.52 + t^4.42 + 3*t^4.56 + 7*t^4.69 + 7*t^4.83 + 4*t^4.96 + t^5.73 + t^5.86 - 3*t^6. - 2*t^6.14 + t^6.63 + 3*t^6.77 + 7*t^6.9 + 14*t^7.04 + 12*t^7.17 + 8*t^7.31 + 5*t^7.44 + t^7.94 + t^8.07 - 3*t^8.21 - 11*t^8.35 - 14*t^8.48 - 6*t^8.62 + t^8.84 + 3*t^8.98 - t^4.17/y - t^6.38/y - (2*t^6.52)/y + (3*t^7.56)/y + (5*t^7.69)/y + (8*t^7.83)/y + (2*t^7.96)/y - t^8.59/y - t^8.73/y - t^4.17*y - t^6.38*y - 2*t^6.52*y + 3*t^7.56*y + 5*t^7.69*y + 8*t^7.83*y + 2*t^7.96*y - t^8.59*y - t^8.73*y | t^2.21/g1^14 + (3*t^2.35)/g1^4 + 2*g1^6*t^2.48 + t^3.52/g1^6 + t^4.42/g1^28 + (3*t^4.56)/g1^18 + (7*t^4.69)/g1^8 + 7*g1^2*t^4.83 + 4*g1^12*t^4.96 + t^5.73/g1^20 + t^5.86/g1^10 - 3*t^6. - 2*g1^10*t^6.14 + t^6.63/g1^42 + (3*t^6.77)/g1^32 + (7*t^6.9)/g1^22 + (14*t^7.04)/g1^12 + (12*t^7.17)/g1^2 + 8*g1^8*t^7.31 + 5*g1^18*t^7.44 + t^7.94/g1^34 + t^8.07/g1^24 - (3*t^8.21)/g1^14 - (11*t^8.35)/g1^4 - 14*g1^6*t^8.48 - 6*g1^16*t^8.62 + t^8.84/g1^56 + (3*t^8.98)/g1^46 - t^4.17/(g1^2*y) - t^6.38/(g1^16*y) - (2*t^6.52)/(g1^6*y) + (3*t^7.56)/(g1^18*y) + (5*t^7.69)/(g1^8*y) + (8*g1^2*t^7.83)/y + (2*g1^12*t^7.96)/y - t^8.59/(g1^30*y) - t^8.73/(g1^20*y) - (t^4.17*y)/g1^2 - (t^6.38*y)/g1^16 - (2*t^6.52*y)/g1^6 + (3*t^7.56*y)/g1^18 + (5*t^7.69*y)/g1^8 + 8*g1^2*t^7.83*y + 2*g1^12*t^7.96*y - (t^8.59*y)/g1^30 - (t^8.73*y)/g1^20 |
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 |
|---|---|---|---|---|---|---|---|---|
| 48137 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_1$ + $ M_2M_3$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_2$ + $ M_4^2$ | 0.4865 | 0.6294 | 0.773 | [X:[], M:[0.8571, 0.7143, 1.2857, 1.0], q:[0.5, 1.0714], qb:[0.2143, 0.5], phi:[0.4286]] | 2*t^2.14 + 3*t^2.57 + t^3. + t^3.86 + 4*t^4.29 + 7*t^4.71 + 7*t^5.14 + t^5.57 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 1335/2744, c: 1727/2744, M1: 6/7, M2: 5/7, M3: 9/7, M4: 1, q1: 1/2, q2: 15/14, qb1: 3/14, qb2: 1/2, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46092 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_1$ + $ M_2M_3$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.5056 | 0.6427 | 0.7867 | [X:[], M:[0.7952, 0.8071, 1.1929], q:[0.6083, 0.9941], qb:[0.1988, 0.6083], phi:[0.3976]] | 3*t^2.39 + 2*t^2.42 + t^3.58 + t^3.65 + 5*t^4.77 + 7*t^4.81 + 4*t^4.84 + t^5.96 - 3*t^6. - t^4.19/y - t^4.19*y | detail |