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 |
|---|---|---|---|---|---|---|---|---|---|
| 4132 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_3M_7$ + $ M_8q_1q_2$ | 0.6878 | 0.8704 | 0.7903 | [X:[], M:[0.993, 1.0791, 1.1512, 0.8488, 0.6907, 1.0791, 0.8488, 0.6907], q:[0.7698, 0.5395], qb:[0.4674, 0.3814], phi:[0.4605]] | [X:[], M:[[13], [-4], [5], [-5], [3], [-4], [-5], [3]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_8$, $ M_4$, $ M_7$, $ M_1$, $ M_2$, $ M_6$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ M_5^2$, $ M_5M_8$, $ M_8^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ M_5M_7$, $ M_4M_8$, $ M_7M_8$, $ \phi_1q_2^2$, $ M_1M_5$, $ M_1M_8$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_2M_5$, $ M_5M_6$, $ M_2M_8$, $ M_6M_8$, $ M_1M_4$, $ M_1M_7$, $ M_5\phi_1\tilde{q}_2^2$, $ M_8\phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_4M_6$, $ M_2M_7$, $ M_6M_7$, $ M_5q_1\tilde{q}_1$, $ M_8q_1\tilde{q}_1$, $ M_1^2$ | . | -3 | 2*t^2.07 + 2*t^2.55 + t^2.98 + 2*t^3.24 + t^3.67 + t^3.71 + 4*t^4.14 + t^4.19 + t^4.4 + 5*t^4.62 + 2*t^5.05 + 3*t^5.09 + 4*t^5.31 + t^5.53 + t^5.74 + 5*t^5.78 + t^5.96 - 3*t^6. + 8*t^6.22 + 3*t^6.26 + 2*t^6.47 + t^6.65 + 8*t^6.69 + 2*t^6.73 - t^6.91 + 3*t^6.95 + 3*t^7.12 + 5*t^7.17 + t^7.34 + 6*t^7.38 + 2*t^7.42 + t^7.6 + 3*t^7.64 + 2*t^7.81 + 8*t^7.86 + t^7.9 + 2*t^8.03 - 7*t^8.07 + 11*t^8.29 + 8*t^8.33 + t^8.37 + t^8.5 - 4*t^8.55 + t^8.59 + t^8.72 + 13*t^8.76 + 6*t^8.8 + t^8.94 - 6*t^8.98 - t^4.38/y - (2*t^6.45)/y - t^6.93/y + (2*t^7.14)/y - t^7.36/y + t^7.4/y + (3*t^7.62)/y + t^7.83/y + (2*t^8.05)/y + t^8.09/y + (6*t^8.31)/y - t^8.53/y + (2*t^8.74)/y + (6*t^8.78)/y - t^4.38*y - 2*t^6.45*y - t^6.93*y + 2*t^7.14*y - t^7.36*y + t^7.4*y + 3*t^7.62*y + t^7.83*y + 2*t^8.05*y + t^8.09*y + 6*t^8.31*y - t^8.53*y + 2*t^8.74*y + 6*t^8.78*y | 2*g1^3*t^2.07 + (2*t^2.55)/g1^5 + g1^13*t^2.98 + (2*t^3.24)/g1^4 + g1^14*t^3.67 + t^3.71/g1^12 + 4*g1^6*t^4.14 + t^4.19/g1^20 + t^4.4/g1^11 + (5*t^4.62)/g1^2 + 2*g1^16*t^5.05 + (3*t^5.09)/g1^10 + (4*t^5.31)/g1 + g1^8*t^5.53 + g1^17*t^5.74 + (5*t^5.78)/g1^9 + g1^26*t^5.96 - 3*t^6. + 8*g1^9*t^6.22 + (3*t^6.26)/g1^17 + (2*t^6.47)/g1^8 + g1^27*t^6.65 + 8*g1*t^6.69 + (2*t^6.73)/g1^25 - g1^10*t^6.91 + (3*t^6.95)/g1^16 + 3*g1^19*t^7.12 + (5*t^7.17)/g1^7 + g1^28*t^7.34 + 6*g1^2*t^7.38 + (2*t^7.42)/g1^24 + g1^11*t^7.6 + (3*t^7.64)/g1^15 + 2*g1^20*t^7.81 + (8*t^7.86)/g1^6 + t^7.9/g1^32 + 2*g1^29*t^8.03 - 7*g1^3*t^8.07 + 11*g1^12*t^8.29 + (8*t^8.33)/g1^14 + t^8.37/g1^40 + g1^21*t^8.5 - (4*t^8.55)/g1^5 + t^8.59/g1^31 + g1^30*t^8.72 + 13*g1^4*t^8.76 + (6*t^8.8)/g1^22 + g1^39*t^8.94 - 6*g1^13*t^8.98 - (g1^2*t^4.38)/y - (2*g1^5*t^6.45)/y - t^6.93/(g1^3*y) + (2*g1^6*t^7.14)/y - (g1^15*t^7.36)/y + t^7.4/(g1^11*y) + (3*t^7.62)/(g1^2*y) + (g1^7*t^7.83)/y + (2*g1^16*t^8.05)/y + t^8.09/(g1^10*y) + (6*t^8.31)/(g1*y) - (g1^8*t^8.53)/y + (2*g1^17*t^8.74)/y + (6*t^8.78)/(g1^9*y) - g1^2*t^4.38*y - 2*g1^5*t^6.45*y - (t^6.93*y)/g1^3 + 2*g1^6*t^7.14*y - g1^15*t^7.36*y + (t^7.4*y)/g1^11 + (3*t^7.62*y)/g1^2 + g1^7*t^7.83*y + 2*g1^16*t^8.05*y + (t^8.09*y)/g1^10 + (6*t^8.31*y)/g1 - g1^8*t^8.53*y + 2*g1^17*t^8.74*y + (6*t^8.78*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5637 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_3M_7$ + $ M_8q_1q_2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6837 | 0.8675 | 0.7881 | [X:[], M:[1.0588, 1.0588, 1.1765, 0.8235, 0.7059, 1.0588, 0.8235, 0.7059], q:[0.7647, 0.5294], qb:[0.4118, 0.4118], phi:[0.4706]] | 2*t^2.12 + 2*t^2.47 + 3*t^3.18 + t^3.53 + 2*t^3.88 + 5*t^4.24 + 5*t^4.59 + 3*t^4.94 + 6*t^5.29 + 6*t^5.65 + t^6. - t^4.41/y - t^4.41*y | detail | {a: 26871/39304, c: 4262/4913, M1: 18/17, M2: 18/17, M3: 20/17, M4: 14/17, M5: 12/17, M6: 18/17, M7: 14/17, M8: 12/17, q1: 13/17, q2: 9/17, qb1: 7/17, qb2: 7/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2158 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_3M_7$ | 0.6672 | 0.8304 | 0.8034 | [X:[], M:[0.9946, 1.0786, 1.1518, 0.8482, 0.6911, 1.0786, 0.8482], q:[0.7696, 0.5393], qb:[0.4661, 0.3821], phi:[0.4607]] | t^2.07 + 2*t^2.54 + t^2.98 + 2*t^3.24 + t^3.67 + t^3.71 + t^3.93 + 2*t^4.15 + t^4.18 + t^4.4 + 3*t^4.62 + t^5.06 + 3*t^5.09 + 2*t^5.31 + t^5.53 + 4*t^5.78 + t^5.97 - 2*t^6. - t^4.38/y - t^4.38*y | detail |