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 |
|---|---|---|---|---|---|---|---|---|---|
| 2437 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_6$ + $ M_7q_2\tilde{q}_1$ | 0.7118 | 0.8844 | 0.8049 | [X:[], M:[0.9078, 1.0307, 1.0922, 0.8463, 0.9078, 0.9693, 0.9078], q:[0.4539, 0.6383], qb:[0.4539, 0.5154], phi:[0.4846]] | [X:[], M:[[-6], [2], [6], [-10], [-6], [-2], [-6]], q:[[-3], [9]], qb:[[-3], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_5$, $ M_7$, $ M_6$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_1M_4$, $ M_4M_5$, $ M_4M_7$, $ \phi_1q_2^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4M_6$, $ M_1M_7$, $ M_5M_7$, $ M_7^2$, $ M_4\phi_1^2$, $ M_4q_1\tilde{q}_2$, $ M_1M_6$, $ M_5M_6$, $ M_6M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_6q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$ | . | -6 | t^2.54 + 3*t^2.72 + 3*t^2.91 + 3*t^4.18 + 2*t^4.36 + t^4.55 + 2*t^4.73 + t^4.91 + t^5.08 + 3*t^5.26 + t^5.28 + 7*t^5.45 + 8*t^5.63 + 4*t^5.82 - 6*t^6. - 3*t^6.18 - t^6.37 - 2*t^6.55 + 3*t^6.72 + 9*t^6.9 + 13*t^7.09 + 5*t^7.27 + t^7.45 + t^7.62 + t^7.64 + 3*t^7.8 - t^7.82 + 7*t^7.99 - t^8.01 + 13*t^8.17 + t^8.19 + 19*t^8.35 - t^8.38 + 8*t^8.54 - 11*t^8.72 - 19*t^8.91 - t^4.45/y - t^6.99/y - (2*t^7.18)/y - t^7.36/y + t^7.55/y + (2*t^7.73)/y + t^7.91/y + (3*t^8.26)/y + (6*t^8.45)/y + (9*t^8.63)/y + (3*t^8.82)/y - t^4.45*y - t^6.99*y - 2*t^7.18*y - t^7.36*y + t^7.55*y + 2*t^7.73*y + t^7.91*y + 3*t^8.26*y + 6*t^8.45*y + 9*t^8.63*y + 3*t^8.82*y | t^2.54/g1^10 + (3*t^2.72)/g1^6 + (3*t^2.91)/g1^2 + (3*t^4.18)/g1^7 + (2*t^4.36)/g1^3 + g1*t^4.55 + 2*g1^5*t^4.73 + g1^9*t^4.91 + t^5.08/g1^20 + (3*t^5.26)/g1^16 + g1^17*t^5.28 + (7*t^5.45)/g1^12 + (8*t^5.63)/g1^8 + (4*t^5.82)/g1^4 - 6*t^6. - 3*g1^4*t^6.18 - g1^8*t^6.37 - 2*g1^12*t^6.55 + (3*t^6.72)/g1^17 + (9*t^6.9)/g1^13 + (13*t^7.09)/g1^9 + (5*t^7.27)/g1^5 + t^7.45/g1 + t^7.62/g1^30 + g1^3*t^7.64 + (3*t^7.8)/g1^26 - g1^7*t^7.82 + (7*t^7.99)/g1^22 - g1^11*t^8.01 + (13*t^8.17)/g1^18 + g1^15*t^8.19 + (19*t^8.35)/g1^14 - g1^19*t^8.38 + (8*t^8.54)/g1^10 - (11*t^8.72)/g1^6 - (19*t^8.91)/g1^2 - t^4.45/(g1*y) - t^6.99/(g1^11*y) - (2*t^7.18)/(g1^7*y) - t^7.36/(g1^3*y) + (g1*t^7.55)/y + (2*g1^5*t^7.73)/y + (g1^9*t^7.91)/y + (3*t^8.26)/(g1^16*y) + (6*t^8.45)/(g1^12*y) + (9*t^8.63)/(g1^8*y) + (3*t^8.82)/(g1^4*y) - (t^4.45*y)/g1 - (t^6.99*y)/g1^11 - (2*t^7.18*y)/g1^7 - (t^7.36*y)/g1^3 + g1*t^7.55*y + 2*g1^5*t^7.73*y + g1^9*t^7.91*y + (3*t^8.26*y)/g1^16 + (6*t^8.45*y)/g1^12 + (9*t^8.63*y)/g1^8 + (3*t^8.82*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4473 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_6$ + $ M_7q_2\tilde{q}_1$ + $ M_4M_8$ | 0.7002 | 0.8611 | 0.8132 | [X:[], M:[0.9371, 1.021, 1.0629, 0.8951, 0.9371, 0.979, 0.9371, 1.1049], q:[0.4685, 0.5944], qb:[0.4685, 0.5105], phi:[0.4895]] | 3*t^2.81 + 3*t^2.94 + t^3.31 + 3*t^4.28 + 2*t^4.41 + t^4.53 + 2*t^4.66 + t^4.78 + t^5.03 + 4*t^5.62 + 8*t^5.75 + 4*t^5.87 - 6*t^6. - t^4.47/y - t^4.47*y | detail | |
| 4470 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_6$ + $ M_7q_2\tilde{q}_1$ + $ \phi_1q_2^2$ | 0.6946 | 0.8821 | 0.7874 | [X:[], M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235, 0.9412, 0.8235], q:[0.4118, 0.7647], qb:[0.4118, 0.5294], phi:[0.4706]] | t^2.12 + 3*t^2.47 + 3*t^2.82 + 3*t^3.88 + 3*t^4.24 + 4*t^4.59 + 9*t^4.94 + 9*t^5.29 + 4*t^5.65 - 2*t^6. - t^4.41/y - t^4.41*y | detail | {a: 54603/78608, c: 34671/39304, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, M6: 16/17, M7: 14/17, q1: 7/17, q2: 13/17, qb1: 7/17, qb2: 9/17, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1385 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_6$ | 0.7042 | 0.8689 | 0.8105 | [X:[], M:[0.9263, 1.0246, 1.0737, 0.8772, 0.9263, 0.9754], q:[0.4632, 0.6105], qb:[0.4632, 0.5123], phi:[0.4877]] | t^2.63 + 2*t^2.78 + 3*t^2.93 + t^3.22 + 3*t^4.24 + 2*t^4.39 + t^4.54 + 2*t^4.68 + t^4.83 + t^5.13 + t^5.26 + 2*t^5.41 + 4*t^5.56 + 5*t^5.71 + 5*t^5.85 - 4*t^6. - t^4.46/y - t^4.46*y | detail |