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 |
|---|---|---|---|---|---|---|---|---|---|
| 2175 | 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_2M_6$ + $ M_3M_7$ | 0.6824 | 0.8556 | 0.7975 | [X:[], M:[0.9661, 1.0873, 1.1408, 0.8592, 0.6845, 0.9127, 0.8592], q:[0.7718, 0.5437], qb:[0.4902, 0.369], phi:[0.4563]] | [X:[], M:[[13], [-4], [5], [-5], [3], [4], [-5]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_7$, $ M_6$, $ \phi_1^2$, $ M_1$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ M_5M_7$, $ \phi_1q_2^2$, $ M_5M_6$, $ M_5\phi_1^2$, $ M_1M_5$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_4M_6$, $ M_6M_7$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_4$, $ M_6^2$, $ M_1M_7$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_5\phi_1\tilde{q}_2^2$, $ M_1^2$ | $M_5q_1q_2$ | -2 | t^2.05 + 2*t^2.58 + 2*t^2.74 + t^2.9 + t^3.58 + t^3.79 + t^3.95 + 2*t^4.11 + t^4.31 + t^4.47 + 3*t^4.63 + 2*t^4.79 + t^4.95 + 3*t^5.16 + 4*t^5.32 + 4*t^5.48 + 2*t^5.64 + t^5.8 - 2*t^6. + 2*t^6.16 + 2*t^6.32 + 2*t^6.36 + t^6.48 + 2*t^6.52 + 5*t^6.68 + 2*t^6.84 + 2*t^6.89 + t^7.01 + 3*t^7.05 + t^7.17 + 4*t^7.21 + 4*t^7.37 + 4*t^7.53 + 3*t^7.69 + 2*t^7.73 + t^7.85 + 4*t^7.89 + 4*t^8.05 + t^8.1 + 7*t^8.21 + t^8.26 + 4*t^8.37 + 2*t^8.53 - 6*t^8.58 + t^8.62 + t^8.7 - t^8.74 + t^8.78 + 4*t^8.94 - t^4.37/y - t^6.42/y - t^6.95/y - t^7.11/y - t^7.27/y + t^7.47/y + (3*t^7.63)/y + (3*t^7.79)/y + t^7.95/y + t^8.16/y + (5*t^8.32)/y + (2*t^8.48)/y + (3*t^8.64)/y + t^8.84/y - t^4.37*y - t^6.42*y - t^6.95*y - t^7.11*y - t^7.27*y + t^7.47*y + 3*t^7.63*y + 3*t^7.79*y + t^7.95*y + t^8.16*y + 5*t^8.32*y + 2*t^8.48*y + 3*t^8.64*y + t^8.84*y | g1^3*t^2.05 + (2*t^2.58)/g1^5 + 2*g1^4*t^2.74 + g1^13*t^2.9 + g1^14*t^3.58 + t^3.79/g1^12 + t^3.95/g1^3 + 2*g1^6*t^4.11 + t^4.31/g1^20 + t^4.47/g1^11 + (3*t^4.63)/g1^2 + 2*g1^7*t^4.79 + g1^16*t^4.95 + (3*t^5.16)/g1^10 + (4*t^5.32)/g1 + 4*g1^8*t^5.48 + 2*g1^17*t^5.64 + g1^26*t^5.8 - 2*t^6. + 2*g1^9*t^6.16 + 2*g1^18*t^6.32 + (2*t^6.36)/g1^17 + g1^27*t^6.48 + (2*t^6.52)/g1^8 + 5*g1*t^6.68 + 2*g1^10*t^6.84 + (2*t^6.89)/g1^25 + g1^19*t^7.01 + (3*t^7.05)/g1^16 + g1^28*t^7.17 + (4*t^7.21)/g1^7 + 4*g1^2*t^7.37 + 4*g1^11*t^7.53 + 3*g1^20*t^7.69 + (2*t^7.73)/g1^15 + g1^29*t^7.85 + (4*t^7.89)/g1^6 + 4*g1^3*t^8.05 + t^8.1/g1^32 + 7*g1^12*t^8.21 + t^8.26/g1^23 + 4*g1^21*t^8.37 + 2*g1^30*t^8.53 - (6*t^8.58)/g1^5 + t^8.62/g1^40 + g1^39*t^8.7 - g1^4*t^8.74 + t^8.78/g1^31 + (4*t^8.94)/g1^22 - (g1^2*t^4.37)/y - (g1^5*t^6.42)/y - t^6.95/(g1^3*y) - (g1^6*t^7.11)/y - (g1^15*t^7.27)/y + t^7.47/(g1^11*y) + (3*t^7.63)/(g1^2*y) + (3*g1^7*t^7.79)/y + (g1^16*t^7.95)/y + t^8.16/(g1^10*y) + (5*t^8.32)/(g1*y) + (2*g1^8*t^8.48)/y + (3*g1^17*t^8.64)/y + t^8.84/(g1^9*y) - g1^2*t^4.37*y - g1^5*t^6.42*y - (t^6.95*y)/g1^3 - g1^6*t^7.11*y - g1^15*t^7.27*y + (t^7.47*y)/g1^11 + (3*t^7.63*y)/g1^2 + 3*g1^7*t^7.79*y + g1^16*t^7.95*y + (t^8.16*y)/g1^10 + (5*t^8.32*y)/g1 + 2*g1^8*t^8.48*y + 3*g1^17*t^8.64*y + (t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 4158 | $\phi_1q_1^2$ + $ 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_2M_6$ + $ M_3M_7$ + $ M_8q_1q_2$ | 0.7031 | 0.8961 | 0.7846 | [X:[], M:[0.965, 1.0877, 1.1404, 0.8596, 0.6842, 0.9123, 0.8596, 0.6842], q:[0.7719, 0.5439], qb:[0.4912, 0.3684], phi:[0.4561]] | 2*t^2.05 + 2*t^2.58 + 2*t^2.74 + t^2.89 + t^3.58 + t^3.79 + 4*t^4.11 + t^4.32 + t^4.47 + 5*t^4.63 + 4*t^4.79 + 2*t^4.95 + 3*t^5.16 + 4*t^5.32 + 4*t^5.47 + 3*t^5.63 + t^5.79 + t^5.84 - 3*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1136 | 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_2M_6$ | 0.6702 | 0.8351 | 0.8025 | [X:[], M:[0.9504, 1.0922, 1.1348, 0.8652, 0.6809, 0.9078], q:[0.773, 0.5461], qb:[0.5035, 0.3617], phi:[0.4539]] | t^2.04 + t^2.6 + 2*t^2.72 + t^2.85 + t^3.4 + t^3.53 + t^3.83 + t^3.96 + 2*t^4.09 + t^4.38 + t^4.51 + 2*t^4.64 + 2*t^4.77 + t^4.89 + t^5.19 + 2*t^5.32 + 4*t^5.45 + 2*t^5.57 + t^5.7 - t^6. - t^4.36/y - t^4.36*y | detail | {a: 63/94, c: 157/188, M1: 134/141, M2: 154/141, M3: 160/141, M4: 122/141, M5: 32/47, M6: 128/141, q1: 109/141, q2: 77/141, qb1: 71/141, qb2: 17/47, phi1: 64/141} |