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 |
|---|---|---|---|---|---|---|---|---|---|
| 5582 | 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_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_2^2$ + $ M_9q_1q_2$ | 0.758 | 0.985 | 0.7695 | [X:[], M:[0.9746, 1.1224, 0.9746, 0.6836, 0.8776, 0.7806, 0.6836, 0.6836, 0.7806], q:[0.7806, 0.4388], qb:[0.5866, 0.4388], phi:[0.4388]] | [X:[], M:[[9], [-4], [9], [-6], [4], [-1], [-6], [-6], [-1]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_8$, $ M_6$, $ M_9$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_4M_8$, $ M_7M_8$, $ M_8^2$, $ q_1\tilde{q}_1$, $ M_4M_6$, $ M_6M_7$, $ M_6M_8$, $ M_4M_9$, $ M_7M_9$, $ M_8M_9$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_6^2$, $ M_5M_7$, $ M_5M_8$, $ M_6M_9$, $ M_9^2$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ M_8\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_4$, $ M_3M_4$, $ M_5M_6$, $ M_1M_7$, $ M_3M_7$, $ M_1M_8$, $ M_3M_8$, $ M_5M_9$, $ M_6\phi_1^2$, $ M_9\phi_1^2$, $ M_5^2$, $ M_1M_6$, $ M_3M_6$, $ M_1M_9$, $ M_3M_9$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_5$, $ M_3M_5$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$ | . | -5 | 3*t^2.05 + 2*t^2.34 + 2*t^2.63 + 2*t^2.92 + 7*t^4.1 + 8*t^4.39 + 9*t^4.68 + t^4.84 + 10*t^4.97 + 7*t^5.27 + 2*t^5.56 + 3*t^5.85 - 5*t^6. + 13*t^6.15 - 2*t^6.29 + 18*t^6.44 - t^6.58 + 25*t^6.73 - 2*t^6.87 + 3*t^6.89 + 30*t^7.03 + 2*t^7.18 + 24*t^7.32 + t^7.47 + 16*t^7.61 - 2*t^7.76 + 16*t^7.9 - 19*t^8.05 + 8*t^8.19 + 21*t^8.2 - 20*t^8.34 + 3*t^8.48 + 32*t^8.49 - 17*t^8.63 + 4*t^8.77 + 48*t^8.79 - 20*t^8.92 + 7*t^8.94 - t^4.32/y - (3*t^6.37)/y - (2*t^6.66)/y - t^6.95/y + (3*t^7.1)/y - (2*t^7.24)/y + (8*t^7.39)/y + (8*t^7.68)/y + (12*t^7.97)/y + (8*t^8.27)/y - (6*t^8.42)/y + (4*t^8.56)/y - (6*t^8.71)/y + t^8.85/y - t^4.32*y - 3*t^6.37*y - 2*t^6.66*y - t^6.95*y + 3*t^7.1*y - 2*t^7.24*y + 8*t^7.39*y + 8*t^7.68*y + 12*t^7.97*y + 8*t^8.27*y - 6*t^8.42*y + 4*t^8.56*y - 6*t^8.71*y + t^8.85*y | (3*t^2.05)/g1^6 + (2*t^2.34)/g1 + 2*g1^4*t^2.63 + 2*g1^9*t^2.92 + (7*t^4.1)/g1^12 + (8*t^4.39)/g1^7 + (9*t^4.68)/g1^2 + t^4.84/g1^20 + 10*g1^3*t^4.97 + 7*g1^8*t^5.27 + 2*g1^13*t^5.56 + 3*g1^18*t^5.85 - 5*t^6. + (13*t^6.15)/g1^18 - 2*g1^5*t^6.29 + (18*t^6.44)/g1^13 - g1^10*t^6.58 + (25*t^6.73)/g1^8 - 2*g1^15*t^6.87 + (3*t^6.89)/g1^26 + (30*t^7.03)/g1^3 + (2*t^7.18)/g1^21 + 24*g1^2*t^7.32 + t^7.47/g1^16 + 16*g1^7*t^7.61 - (2*t^7.76)/g1^11 + 16*g1^12*t^7.9 - (19*t^8.05)/g1^6 + 8*g1^17*t^8.19 + (21*t^8.2)/g1^24 - (20*t^8.34)/g1 + 3*g1^22*t^8.48 + (32*t^8.49)/g1^19 - 17*g1^4*t^8.63 + 4*g1^27*t^8.77 + (48*t^8.79)/g1^14 - 20*g1^9*t^8.92 + (7*t^8.94)/g1^32 - (g1^2*t^4.32)/y - (3*t^6.37)/(g1^4*y) - (2*g1*t^6.66)/y - (g1^6*t^6.95)/y + (3*t^7.1)/(g1^12*y) - (2*g1^11*t^7.24)/y + (8*t^7.39)/(g1^7*y) + (8*t^7.68)/(g1^2*y) + (12*g1^3*t^7.97)/y + (8*g1^8*t^8.27)/y - (6*t^8.42)/(g1^10*y) + (4*g1^13*t^8.56)/y - (6*t^8.71)/(g1^5*y) + (g1^18*t^8.85)/y - g1^2*t^4.32*y - (3*t^6.37*y)/g1^4 - 2*g1*t^6.66*y - g1^6*t^6.95*y + (3*t^7.1*y)/g1^12 - 2*g1^11*t^7.24*y + (8*t^7.39*y)/g1^7 + (8*t^7.68*y)/g1^2 + 12*g1^3*t^7.97*y + 8*g1^8*t^8.27*y - (6*t^8.42*y)/g1^10 + 4*g1^13*t^8.56*y - (6*t^8.71*y)/g1^5 + g1^18*t^8.85*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 4035 | 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_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.7404 | 0.9536 | 0.7764 | [X:[], M:[0.9728, 1.1232, 0.9728, 0.6848, 0.8768, 0.7808, 0.6848, 0.6848], q:[0.7808, 0.4384], qb:[0.5888, 0.4384], phi:[0.4384]] | 3*t^2.05 + t^2.34 + 2*t^2.63 + 2*t^2.92 + t^3.66 + 7*t^4.11 + 5*t^4.4 + 7*t^4.68 + t^4.85 + 8*t^4.97 + 5*t^5.26 + 2*t^5.55 + 3*t^5.71 + 3*t^5.84 - 4*t^6. - t^4.32/y - t^4.32*y | detail | {a: 1173671/1585176, c: 755813/792588, M1: 250/257, M2: 866/771, M3: 250/257, M4: 176/257, M5: 676/771, M6: 602/771, M7: 176/257, M8: 176/257, q1: 602/771, q2: 338/771, qb1: 454/771, qb2: 338/771, phi1: 338/771} |