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 |
|---|---|---|---|---|---|---|---|---|---|
| 380 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ | 0.5986 | 0.7318 | 0.8179 | [X:[1.4911], M:[0.8772, 0.5089, 1.0, 0.8772], q:[0.8114, 0.8114], qb:[0.3114, 0.5569], phi:[0.3772]] | [X:[[8]], M:[[-2], [-8], [0], [-2]], q:[[1], [1]], qb:[[1], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ M_4$, $ M_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ X_1$, $ \phi_1^4$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_3\phi_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | t^2.26 + t^2.6 + 2*t^2.63 + t^3. + t^3.74 + 2*t^4.1 + t^4.47 + t^4.53 + 2*t^4.87 + 2*t^4.9 + t^5.21 + 2*t^5.24 + 3*t^5.26 + t^5.6 - t^6. + t^6.34 + 2*t^6.37 - t^6.4 + 2*t^6.71 + 4*t^6.74 - 2*t^6.76 + t^6.79 + t^7.08 + 2*t^7.1 + 2*t^7.16 + t^7.47 + 2*t^7.5 + 3*t^7.53 + t^7.81 + 2*t^7.84 + 2*t^7.87 + 2*t^7.9 + 4*t^8.21 - 2*t^8.24 - 2*t^8.26 + 2*t^8.58 - 2*t^8.6 - 4*t^8.63 + 2*t^8.95 + 2*t^8.97 - t^4.13/y - t^6.4/y - (2*t^6.76)/y + (2*t^7.5)/y + (2*t^7.87)/y + (2*t^7.9)/y + (2*t^8.24)/y + (2*t^8.26)/y + t^8.6/y + (2*t^8.63)/y - t^8.66/y - t^4.13*y - t^6.4*y - 2*t^6.76*y + 2*t^7.5*y + 2*t^7.87*y + 2*t^7.9*y + 2*t^8.24*y + 2*t^8.26*y + t^8.6*y + 2*t^8.63*y - t^8.66*y | t^2.26/g1^4 + g1^6*t^2.6 + (2*t^2.63)/g1^2 + t^3. + g1^4*t^3.74 + 2*g1^6*t^4.1 + g1^8*t^4.47 + t^4.53/g1^8 + 2*g1^2*t^4.87 + (2*t^4.9)/g1^6 + g1^12*t^5.21 + 2*g1^4*t^5.24 + (3*t^5.26)/g1^4 + g1^6*t^5.6 - t^6. + g1^10*t^6.34 + 2*g1^2*t^6.37 - t^6.4/g1^6 + 2*g1^12*t^6.71 + 4*g1^4*t^6.74 - (2*t^6.76)/g1^4 + t^6.79/g1^12 + g1^14*t^7.08 + 2*g1^6*t^7.1 + (2*t^7.16)/g1^10 + g1^8*t^7.47 + 2*t^7.5 + (3*t^7.53)/g1^8 + g1^18*t^7.81 + 2*g1^10*t^7.84 + 2*g1^2*t^7.87 + (2*t^7.9)/g1^6 + 4*g1^12*t^8.21 - 2*g1^4*t^8.24 - (2*t^8.26)/g1^4 + 2*g1^14*t^8.58 - 2*g1^6*t^8.6 - (4*t^8.63)/g1^2 + 2*g1^16*t^8.95 + 2*g1^8*t^8.97 - t^4.13/(g1^2*y) - t^6.4/(g1^6*y) - (2*t^6.76)/(g1^4*y) + (2*t^7.5)/y + (2*g1^2*t^7.87)/y + (2*t^7.9)/(g1^6*y) + (2*g1^4*t^8.24)/y + (2*t^8.26)/(g1^4*y) + (g1^6*t^8.6)/y + (2*t^8.63)/(g1^2*y) - t^8.66/(g1^10*y) - (t^4.13*y)/g1^2 - (t^6.4*y)/g1^6 - (2*t^6.76*y)/g1^4 + 2*t^7.5*y + 2*g1^2*t^7.87*y + (2*t^7.9*y)/g1^6 + 2*g1^4*t^8.24*y + (2*t^8.26*y)/g1^4 + g1^6*t^8.6*y + (2*t^8.63*y)/g1^2 - (t^8.66*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 618 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6177 | 0.7659 | 0.8065 | [X:[1.5134], M:[0.8717, 0.4866, 1.0, 0.8717, 0.7433], q:[0.8142, 0.8142], qb:[0.3142, 0.5709], phi:[0.3717]] | 2*t^2.23 + 2*t^2.61 + t^2.66 + t^3. + 2*t^4.16 + 3*t^4.46 + t^4.54 + 4*t^4.84 + 3*t^4.89 + 4*t^5.23 + 2*t^5.27 + t^5.31 + t^5.66 - 2*t^6. - t^4.11/y - t^4.11*y | detail | |
| 620 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1^2$ | 0.5801 | 0.7001 | 0.8285 | [X:[1.4633], M:[0.8842, 0.5367, 1.0, 0.8842, 1.2317], q:[0.8079, 0.8079], qb:[0.3079, 0.5396], phi:[0.3842]] | t^2.54 + 2*t^2.65 + t^3. + 2*t^3.69 + 2*t^4.04 + t^4.39 + t^4.85 + t^5.08 + 2*t^5.19 + 2*t^5.31 + t^5.54 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
| 617 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ \tilde{q}_1^2\tilde{q}_2^2$ + $ \phi_1^2X_2$ | 0.5651 | 0.6693 | 0.8444 | [X:[1.6667, 1.3333], M:[0.8333, 0.3333, 1.0, 0.8333], q:[0.8333, 0.8333], qb:[0.3333, 0.6667], phi:[0.3333]] | 2*t^2.5 + 2*t^3. + 2*t^4. + 2*t^4.5 + 4*t^5. + 2*t^5.5 - t^6. - t^4./y - t^4.*y | detail | {a: 217/384, c: 257/384, X1: 5/3, X2: 4/3, M1: 5/6, M2: 1/3, M3: 1, M4: 5/6, q1: 5/6, q2: 5/6, qb1: 1/3, qb2: 2/3, phi1: 1/3} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 240 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2X_1$ | 0.5879 | 0.7149 | 0.8223 | [X:[1.4675], M:[0.8831, 0.5325, 1.0], q:[0.8084, 0.8084], qb:[0.3084, 0.5422], phi:[0.3831]] | t^2.3 + t^2.55 + t^2.65 + t^3. + t^3.35 + t^3.7 + 2*t^4.05 + t^4.4 + t^4.6 + 2*t^4.85 + t^4.95 + t^5.1 + t^5.2 + t^5.3 + t^5.55 + t^5.9 - t^4.15/y - t^4.15*y | detail |