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 |
|---|---|---|---|---|---|---|---|---|---|
| 382 | 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_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6065 | 0.7473 | 0.8115 | [X:[1.4923], M:[0.8769, 0.5077, 1.0, 0.7538], q:[0.8115, 0.8115], qb:[0.3115, 0.5577], phi:[0.3769]] | [X:[[8]], M:[[-2], [-8], [0], [-4]], q:[[1], [1]], qb:[[1], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ M_3$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ X_1$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ q_1q_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_1\phi_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_4q_2\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$ | $M_1q_2\tilde{q}_1$ | -1 | 2*t^2.26 + t^2.61 + t^2.63 + t^3. + t^3.37 + 2*t^4.11 + t^4.48 + 3*t^4.52 + 3*t^4.87 + 2*t^4.89 + t^5.22 + t^5.24 + 2*t^5.26 + t^5.61 + t^5.63 + t^5.98 - t^6. + 3*t^6.37 - t^6.39 + 2*t^6.72 + 3*t^6.74 - 2*t^6.76 + 4*t^6.78 + t^7.08 + t^7.11 + 3*t^7.13 + 3*t^7.15 + 3*t^7.48 + t^7.5 + 3*t^7.52 + t^7.82 + t^7.87 + t^7.89 + 3*t^8.22 - 3*t^8.26 + 3*t^8.58 - 3*t^8.61 - t^8.65 + t^8.95 + 3*t^8.98 - t^4.13/y - (2*t^6.39)/y - t^6.76/y + t^7.5/y + t^7.52/y + (4*t^7.87)/y + (2*t^7.89)/y + t^8.24/y + (2*t^8.26)/y + t^8.61/y + (3*t^8.63)/y - (3*t^8.65)/y + t^8.98/y - t^4.13*y - 2*t^6.39*y - t^6.76*y + t^7.5*y + t^7.52*y + 4*t^7.87*y + 2*t^7.89*y + t^8.24*y + 2*t^8.26*y + t^8.61*y + 3*t^8.63*y - 3*t^8.65*y + t^8.98*y | (2*t^2.26)/g1^4 + g1^6*t^2.61 + t^2.63/g1^2 + t^3. + g1^2*t^3.37 + 2*g1^6*t^4.11 + g1^8*t^4.48 + (3*t^4.52)/g1^8 + 3*g1^2*t^4.87 + (2*t^4.89)/g1^6 + g1^12*t^5.22 + g1^4*t^5.24 + (2*t^5.26)/g1^4 + g1^6*t^5.61 + t^5.63/g1^2 + g1^8*t^5.98 - t^6. + 3*g1^2*t^6.37 - t^6.39/g1^6 + 2*g1^12*t^6.72 + 3*g1^4*t^6.74 - (2*t^6.76)/g1^4 + (4*t^6.78)/g1^12 + g1^14*t^7.08 + g1^6*t^7.11 + (3*t^7.13)/g1^2 + (3*t^7.15)/g1^10 + 3*g1^8*t^7.48 + t^7.5 + (3*t^7.52)/g1^8 + g1^18*t^7.82 + g1^2*t^7.87 + t^7.89/g1^6 + 3*g1^12*t^8.22 - (3*t^8.26)/g1^4 + 3*g1^14*t^8.58 - 3*g1^6*t^8.61 - t^8.65/g1^10 + g1^16*t^8.95 + 3*g1^8*t^8.98 - t^4.13/(g1^2*y) - (2*t^6.39)/(g1^6*y) - t^6.76/(g1^4*y) + t^7.5/y + t^7.52/(g1^8*y) + (4*g1^2*t^7.87)/y + (2*t^7.89)/(g1^6*y) + (g1^4*t^8.24)/y + (2*t^8.26)/(g1^4*y) + (g1^6*t^8.61)/y + (3*t^8.63)/(g1^2*y) - (3*t^8.65)/(g1^10*y) + (g1^8*t^8.98)/y - (t^4.13*y)/g1^2 - (2*t^6.39*y)/g1^6 - (t^6.76*y)/g1^4 + t^7.5*y + (t^7.52*y)/g1^8 + 4*g1^2*t^7.87*y + (2*t^7.89*y)/g1^6 + g1^4*t^8.24*y + (2*t^8.26*y)/g1^4 + g1^6*t^8.61*y + (3*t^8.63*y)/g1^2 - (3*t^8.65*y)/g1^10 + g1^8*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 622 | $\phi_1q_1^2$ + $ \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_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ | 0.6064 | 0.7471 | 0.8118 | [X:[1.5], M:[0.875, 0.5, 1.0, 0.75], q:[0.8125, 0.8125], qb:[0.3125, 0.5625], phi:[0.375]] | 2*t^2.25 + 2*t^2.62 + t^3. + t^3.38 + 2*t^4.12 + 4*t^4.5 + 5*t^4.88 + 4*t^5.25 + 2*t^5.62 - t^4.12/y - t^4.12*y | detail | {a: 621/1024, c: 765/1024, X1: 3/2, M1: 7/8, M2: 1/2, M3: 1, M4: 3/4, q1: 13/16, q2: 13/16, qb1: 5/16, qb2: 9/16, phi1: 3/8} |
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 |