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 |
|---|---|---|---|---|---|---|---|---|---|
| 3120 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ q_1q_2\tilde{q}_2^2$ + $ M_7q_1\tilde{q}_1$ | 0.6462 | 0.8496 | 0.7606 | [X:[], M:[0.9822, 1.0534, 1.0178, 0.9466, 0.7634, 0.7277, 0.799], q:[0.7455, 0.2723], qb:[0.4555, 0.4911], phi:[0.5089]] | [X:[], M:[[4], [-12], [-4], [12], [-3], [5], [-11]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ q_2\tilde{q}_1$, $ M_5$, $ q_2\tilde{q}_2$, $ M_7$, $ M_4$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_6$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_6M_7$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5M_7$, $ M_7q_2\tilde{q}_2$, $ M_7^2$, $ M_4M_6$, $ M_4q_2\tilde{q}_1$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_3M_6$, $ M_4M_7$, $ M_6\phi_1^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_5$, $ M_5\phi_1^2$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3M_7$, $ M_7\phi_1^2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_7\phi_1q_2^2$, $ M_4^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ M_6q_1\tilde{q}_2$ | $M_4\phi_1q_2^2$, $ M_5q_1\tilde{q}_2$ | -1 | 2*t^2.18 + 2*t^2.29 + t^2.4 + t^2.84 + 2*t^3.05 + t^3.16 + t^3.71 + t^4.26 + 4*t^4.37 + 5*t^4.47 + 5*t^4.58 + 2*t^4.69 + t^4.79 + 2*t^5.02 + 2*t^5.13 + 5*t^5.24 + 5*t^5.34 + 3*t^5.45 + t^5.56 + t^5.68 + 2*t^5.89 - t^6. + t^6.11 + 2*t^6.21 + t^6.32 + 2*t^6.44 + 7*t^6.55 + 7*t^6.66 + 10*t^6.76 + 7*t^6.87 + 4*t^6.98 + 2*t^7.08 + t^7.1 + t^7.19 + 3*t^7.21 + 5*t^7.31 + 9*t^7.42 + 9*t^7.53 + 10*t^7.63 + 6*t^7.74 + 3*t^7.85 + 2*t^7.86 + t^7.95 + 2*t^7.97 + t^8.08 - 5*t^8.18 - 2*t^8.29 + t^8.4 + 4*t^8.5 + 2*t^8.52 + 3*t^8.61 + 4*t^8.63 + t^8.72 + 11*t^8.73 + 8*t^8.84 + 10*t^8.95 - t^4.53/y - t^6.71/y - t^6.82/y - t^6.92/y + t^7.37/y + (5*t^7.47)/y + (2*t^7.58)/y + (2*t^7.69)/y + (2*t^8.02)/y + (3*t^8.13)/y + (6*t^8.24)/y + (7*t^8.34)/y + (4*t^8.45)/y + t^8.56/y + (3*t^8.89)/y - t^4.53*y - t^6.71*y - t^6.82*y - t^6.92*y + t^7.37*y + 5*t^7.47*y + 2*t^7.58*y + 2*t^7.69*y + 2*t^8.02*y + 3*t^8.13*y + 6*t^8.24*y + 7*t^8.34*y + 4*t^8.45*y + t^8.56*y + 3*t^8.89*y | 2*g1^5*t^2.18 + (2*t^2.29)/g1^3 + t^2.4/g1^11 + g1^12*t^2.84 + (2*t^3.05)/g1^4 + t^3.16/g1^12 + g1^3*t^3.71 + g1^18*t^4.26 + 4*g1^10*t^4.37 + 5*g1^2*t^4.47 + (5*t^4.58)/g1^6 + (2*t^4.69)/g1^14 + t^4.79/g1^22 + 2*g1^17*t^5.02 + 2*g1^9*t^5.13 + 5*g1*t^5.24 + (5*t^5.34)/g1^7 + (3*t^5.45)/g1^15 + t^5.56/g1^23 + g1^24*t^5.68 + 2*g1^8*t^5.89 - t^6. + t^6.11/g1^8 + (2*t^6.21)/g1^16 + t^6.32/g1^24 + 2*g1^23*t^6.44 + 7*g1^15*t^6.55 + 7*g1^7*t^6.66 + (10*t^6.76)/g1 + (7*t^6.87)/g1^9 + (4*t^6.98)/g1^17 + (2*t^7.08)/g1^25 + g1^30*t^7.1 + t^7.19/g1^33 + 3*g1^22*t^7.21 + 5*g1^14*t^7.31 + 9*g1^6*t^7.42 + (9*t^7.53)/g1^2 + (10*t^7.63)/g1^10 + (6*t^7.74)/g1^18 + (3*t^7.85)/g1^26 + 2*g1^29*t^7.86 + t^7.95/g1^34 + 2*g1^21*t^7.97 + g1^13*t^8.08 - 5*g1^5*t^8.18 - (2*t^8.29)/g1^3 + t^8.4/g1^11 + (4*t^8.5)/g1^19 + 2*g1^36*t^8.52 + (3*t^8.61)/g1^27 + 4*g1^28*t^8.63 + t^8.72/g1^35 + 11*g1^20*t^8.73 + 8*g1^12*t^8.84 + 10*g1^4*t^8.95 - t^4.53/(g1^2*y) - (g1^3*t^6.71)/y - t^6.82/(g1^5*y) - t^6.92/(g1^13*y) + (g1^10*t^7.37)/y + (5*g1^2*t^7.47)/y + (2*t^7.58)/(g1^6*y) + (2*t^7.69)/(g1^14*y) + (2*g1^17*t^8.02)/y + (3*g1^9*t^8.13)/y + (6*g1*t^8.24)/y + (7*t^8.34)/(g1^7*y) + (4*t^8.45)/(g1^15*y) + t^8.56/(g1^23*y) + (3*g1^8*t^8.89)/y - (t^4.53*y)/g1^2 - g1^3*t^6.71*y - (t^6.82*y)/g1^5 - (t^6.92*y)/g1^13 + g1^10*t^7.37*y + 5*g1^2*t^7.47*y + (2*t^7.58*y)/g1^6 + (2*t^7.69*y)/g1^14 + 2*g1^17*t^8.02*y + 3*g1^9*t^8.13*y + 6*g1*t^8.24*y + (7*t^8.34*y)/g1^7 + (4*t^8.45*y)/g1^15 + (t^8.56*y)/g1^23 + 3*g1^8*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 4997 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ q_1q_2\tilde{q}_2^2$ + $ M_7q_1\tilde{q}_1$ + $ M_8\phi_1q_2^2$ | 0.653 | 0.8624 | 0.7572 | [X:[], M:[0.9692, 1.0923, 1.0308, 0.9077, 0.7731, 0.7115, 0.8347, 0.9077], q:[0.7423, 0.2885], qb:[0.423, 0.4846], phi:[0.5154]] | 2*t^2.13 + 2*t^2.32 + t^2.5 + 2*t^2.72 + 2*t^3.09 + t^3.68 + t^4.08 + 4*t^4.27 + 5*t^4.45 + 5*t^4.64 + 2*t^4.82 + 4*t^4.86 + t^5.01 + 4*t^5.04 + 6*t^5.23 + 3*t^5.41 + 3*t^5.45 + t^5.6 + 4*t^5.82 - 2*t^6. - t^4.55/y - t^4.55*y | detail | |
| 4998 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ q_1q_2\tilde{q}_2^2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ | 0.6647 | 0.883 | 0.7528 | [X:[], M:[0.9839, 1.0483, 1.0161, 0.9517, 0.7621, 0.7299, 0.7942, 0.7621], q:[0.746, 0.2701], qb:[0.4598, 0.492], phi:[0.508]] | 2*t^2.19 + 3*t^2.29 + t^2.38 + t^2.86 + 2*t^3.05 + t^3.14 + t^4.28 + 4*t^4.38 + 7*t^4.48 + 8*t^4.57 + 3*t^4.67 + t^4.77 + 2*t^5.04 + 3*t^5.14 + 5*t^5.24 + 7*t^5.33 + 4*t^5.43 + t^5.53 + t^5.71 - 3*t^6. - t^4.52/y - t^4.52*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2046 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ q_1q_2\tilde{q}_2^2$ | 0.6304 | 0.823 | 0.766 | [X:[], M:[0.9729, 1.0814, 1.0271, 0.9186, 0.7704, 0.7161], q:[0.7432, 0.2839], qb:[0.4322, 0.4864], phi:[0.5136]] | 2*t^2.15 + 2*t^2.31 + t^2.76 + 2*t^3.08 + t^3.24 + t^3.53 + t^3.69 + t^4.13 + 4*t^4.3 + 5*t^4.46 + 3*t^4.62 + 2*t^4.9 + 2*t^5.07 + 4*t^5.23 + 5*t^5.39 + t^5.51 + t^5.56 + 2*t^5.67 + 4*t^5.84 - t^6. - t^4.54/y - t^4.54*y | detail |