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 |
|---|---|---|---|---|---|---|---|---|---|
| 477 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_2X_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6075 | 0.749 | 0.8111 | [X:[1.3678], M:[1.0, 0.6322, 0.8389, 0.7355], q:[0.6033, 1.0289], qb:[0.3967, 0.5], phi:[0.3678]] | [X:[[1]], M:[[0], [-1], [5], [2]], q:[[3], [-4]], qb:[[-3], [0]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ q_1\tilde{q}_2$, $ X_1$, $ q_2\tilde{q}_1$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ q_2\tilde{q}_2$, $ M_3M_4$, $ M_3\phi_1^2$, $ q_1q_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_3$, $ M_4q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$ | . | -1 | 2*t^2.21 + t^2.52 + t^2.69 + t^3. + t^3.31 + t^4.1 + t^4.28 + 3*t^4.41 + t^4.59 + 2*t^4.72 + 3*t^4.9 + t^5.03 + 2*t^5.21 + t^5.38 + 2*t^5.52 + t^5.83 - t^6. + t^6.31 + t^6.48 + 5*t^6.62 + t^6.79 + 3*t^6.93 + t^6.97 + 4*t^7.1 + 2*t^7.24 + t^7.28 + 4*t^7.41 + t^7.55 + t^7.59 + 3*t^7.72 - t^7.9 + 2*t^8.03 - 2*t^8.21 + t^8.34 - t^8.38 - t^8.52 + t^8.55 - 2*t^8.69 + 6*t^8.83 + t^8.86 - t^4.1/y - (2*t^6.31)/y - t^6.62/y + t^7.41/y + t^7.59/y + (2*t^7.72)/y + (4*t^7.9)/y + (3*t^8.21)/y + t^8.69/y - t^8.83/y - t^4.1*y - 2*t^6.31*y - t^6.62*y + t^7.41*y + t^7.59*y + 2*t^7.72*y + 4*t^7.9*y + 3*t^8.21*y + t^8.69*y - t^8.83*y | 2*g1^2*t^2.21 + g1^5*t^2.52 + t^2.69/g1^3 + t^3. + g1^3*t^3.31 + g1*t^4.1 + t^4.28/g1^7 + 3*g1^4*t^4.41 + t^4.59/g1^4 + 2*g1^7*t^4.72 + (3*t^4.9)/g1 + g1^10*t^5.03 + 2*g1^2*t^5.21 + t^5.38/g1^6 + 2*g1^5*t^5.52 + g1^8*t^5.83 - t^6. + g1^3*t^6.31 + t^6.48/g1^5 + 5*g1^6*t^6.62 + t^6.79/g1^2 + 3*g1^9*t^6.93 + t^6.97/g1^10 + 4*g1*t^7.1 + 2*g1^12*t^7.24 + t^7.28/g1^7 + 4*g1^4*t^7.41 + g1^15*t^7.55 + t^7.59/g1^4 + 3*g1^7*t^7.72 - t^7.9/g1 + 2*g1^10*t^8.03 - 2*g1^2*t^8.21 + g1^13*t^8.34 - t^8.38/g1^6 - g1^5*t^8.52 + t^8.55/g1^14 - (2*t^8.69)/g1^3 + 6*g1^8*t^8.83 + t^8.86/g1^11 - (g1*t^4.1)/y - (2*g1^3*t^6.31)/y - (g1^6*t^6.62)/y + (g1^4*t^7.41)/y + t^7.59/(g1^4*y) + (2*g1^7*t^7.72)/y + (4*t^7.9)/(g1*y) + (3*g1^2*t^8.21)/y + t^8.69/(g1^3*y) - (g1^8*t^8.83)/y - g1*t^4.1*y - 2*g1^3*t^6.31*y - g1^6*t^6.62*y + g1^4*t^7.41*y + (t^7.59*y)/g1^4 + 2*g1^7*t^7.72*y + (4*t^7.9*y)/g1 + 3*g1^2*t^8.21*y + (t^8.69*y)/g1^3 - g1^8*t^8.83*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 |
|---|---|---|---|---|---|---|---|---|
| 1856 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_2X_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ | 0.6176 | 0.766 | 0.8063 | [X:[1.3738], M:[1.0, 0.6262, 0.869, 0.7476, 0.8786], q:[0.6214, 1.0048], qb:[0.3786, 0.5], phi:[0.3738]] | 2*t^2.24 + t^2.61 + 2*t^2.64 + t^3. + t^4.12 + t^4.15 + 3*t^4.49 + t^4.51 + 2*t^4.85 + 5*t^4.88 + t^5.21 + 3*t^5.24 + 3*t^5.27 + t^5.64 - 2*t^6. - t^4.12/y - t^4.12*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 |
|---|---|---|---|---|---|---|---|---|---|
| 303 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_2X_1$ | 0.588 | 0.713 | 0.8247 | [X:[1.3696], M:[1.0, 0.6304, 0.8478], q:[0.6087, 1.0217], qb:[0.3913, 0.5], phi:[0.3696]] | t^2.22 + t^2.54 + t^2.67 + t^3. + t^3.33 + t^3.78 + t^4.11 + t^4.24 + t^4.43 + t^4.57 + t^4.76 + 2*t^4.89 + t^5.09 + t^5.22 + t^5.35 + t^5.54 + t^5.87 - t^4.11/y - t^4.11*y | detail | {a: 1731/2944, c: 2099/2944, X1: 63/46, M1: 1, M2: 29/46, M3: 39/46, q1: 14/23, q2: 47/46, qb1: 9/23, qb2: 1/2, phi1: 17/46} |