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 |
|---|---|---|---|---|---|---|---|---|---|
| 3122 | 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$ + $ M_7q_1\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6448 | 0.8521 | 0.7567 | [X:[], M:[0.9472, 1.1583, 1.0528, 0.8417, 0.7362, 0.7374, 0.8417], q:[0.7368, 0.3159], qb:[0.4215, 0.4203], phi:[0.5264]] | [X:[], M:[[4], [-12], [-4], [12], [20], [-18], [12]], q:[[1], [-5]], qb:[[-13], [25]], 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_4$, $ M_7$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5M_6$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_5$, $ M_5M_7$, $ M_4q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_4M_6$, $ M_6M_7$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_6$, $ M_6\phi_1^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3M_5$, $ M_5\phi_1^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3M_4$, $ M_3M_7$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ M_5\phi_1q_2^2$, $ M_6q_1\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$ | $M_4\phi_1q_2^2$, $ M_4q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$ | -2 | 4*t^2.21 + 2*t^2.53 + 2*t^3.16 + 2*t^3.47 + 2*t^4.1 + t^4.11 + 10*t^4.42 + 4*t^4.73 + 4*t^4.74 + 3*t^5.05 + 8*t^5.37 + 8*t^5.68 + t^5.69 - 2*t^6. + 4*t^6.31 + 5*t^6.32 + 22*t^6.63 + 4*t^6.64 + 6*t^6.94 + 10*t^6.95 + 11*t^7.26 + t^7.57 + 19*t^7.58 + 11*t^7.89 + 7*t^7.9 + t^8.2 - 3*t^8.21 - t^8.22 + 7*t^8.52 + 5*t^8.53 + 9*t^8.83 + 24*t^8.84 + 15*t^8.85 - t^4.58/y - (2*t^6.79)/y - t^7.1/y + (7*t^7.42)/y + (4*t^7.73)/y + (3*t^7.74)/y + (2*t^8.05)/y + (10*t^8.37)/y + (10*t^8.68)/y + (2*t^8.69)/y - t^4.58*y - 2*t^6.79*y - t^7.1*y + 7*t^7.42*y + 4*t^7.73*y + 3*t^7.74*y + 2*t^8.05*y + 10*t^8.37*y + 10*t^8.68*y + 2*t^8.69*y | (2*t^2.21)/g1^18 + 2*g1^20*t^2.21 + 2*g1^12*t^2.53 + (2*t^3.16)/g1^4 + t^3.47/g1^12 + g1^26*t^3.47 + g1^10*t^4.1 + g1^48*t^4.1 + t^4.11/g1^28 + (3*t^4.42)/g1^36 + 4*g1^2*t^4.42 + 3*g1^40*t^4.42 + 4*g1^32*t^4.73 + (4*t^4.74)/g1^6 + 3*g1^24*t^5.05 + (4*t^5.37)/g1^22 + 4*g1^16*t^5.37 + 6*g1^8*t^5.68 + 2*g1^46*t^5.68 + t^5.69/g1^30 - 2*t^6. - t^6./g1^38 + g1^38*t^6. + 2*g1^30*t^6.31 + 2*g1^68*t^6.31 + (2*t^6.32)/g1^46 + (3*t^6.32)/g1^8 + (8*t^6.63)/g1^16 + 8*g1^22*t^6.63 + 6*g1^60*t^6.63 + (4*t^6.64)/g1^54 + 6*g1^52*t^6.94 + (4*t^6.95)/g1^24 + 6*g1^14*t^6.95 + 4*g1^6*t^7.26 + 7*g1^44*t^7.26 + g1^74*t^7.57 + (5*t^7.58)/g1^40 + (5*t^7.58)/g1^2 + 9*g1^36*t^7.58 + 8*g1^28*t^7.89 + 3*g1^66*t^7.89 + t^7.9/g1^48 + (6*t^7.9)/g1^10 + g1^96*t^8.2 - (7*t^8.21)/g1^18 + g1^20*t^8.21 + 3*g1^58*t^8.21 - t^8.22/g1^56 + 4*g1^50*t^8.52 + 3*g1^88*t^8.52 + (3*t^8.53)/g1^64 + (3*t^8.53)/g1^26 - g1^12*t^8.53 + 9*g1^80*t^8.83 + 12*g1^4*t^8.84 + 12*g1^42*t^8.84 + (5*t^8.85)/g1^72 + (10*t^8.85)/g1^34 - t^4.58/(g1^2*y) - t^6.79/(g1^20*y) - (g1^18*t^6.79)/y - (g1^10*t^7.1)/y + t^7.42/(g1^36*y) + (5*g1^2*t^7.42)/y + (g1^40*t^7.42)/y + (4*g1^32*t^7.73)/y + (3*t^7.74)/(g1^6*y) + t^8.05/(g1^14*y) + (g1^24*t^8.05)/y + (5*t^8.37)/(g1^22*y) + (5*g1^16*t^8.37)/y + (8*g1^8*t^8.68)/y + (2*g1^46*t^8.68)/y + (2*t^8.69)/(g1^30*y) - (t^4.58*y)/g1^2 - (t^6.79*y)/g1^20 - g1^18*t^6.79*y - g1^10*t^7.1*y + (t^7.42*y)/g1^36 + 5*g1^2*t^7.42*y + g1^40*t^7.42*y + 4*g1^32*t^7.73*y + (3*t^7.74*y)/g1^6 + (t^8.05*y)/g1^14 + g1^24*t^8.05*y + (5*t^8.37*y)/g1^22 + 5*g1^16*t^8.37*y + 8*g1^8*t^8.68*y + 2*g1^46*t^8.68*y + (2*t^8.69*y)/g1^30 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4981 | $M_1q_1q_2$ + $ 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$ + $ M_7q_1\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ | 0.6396 | 0.8434 | 0.7584 | [X:[], M:[0.9565, 1.1304, 1.0435, 0.8696, 0.7826, 0.6957, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | 2*t^2.09 + 2*t^2.35 + 2*t^2.61 + 2*t^3.13 + t^3.39 + t^3.65 + t^3.91 + 4*t^4.17 + 5*t^4.43 + 7*t^4.7 + 4*t^4.96 + 7*t^5.22 + 5*t^5.48 + 5*t^5.74 + 2*t^6. - t^4.57/y - t^4.57*y | detail | {a: 124515/194672, c: 82095/97336, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 18/23, M6: 16/23, M7: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
| 4984 | $M_1q_1q_2$ + $ 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$ + $ M_7q_1\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_8q_1\tilde{q}_2$ | 0.6593 | 0.8765 | 0.7522 | [X:[], M:[0.9508, 1.1477, 1.0492, 0.8523, 0.7538, 0.7215, 0.8523, 0.82], q:[0.7377, 0.3115], qb:[0.41, 0.4423], phi:[0.5246]] | 2*t^2.16 + 2*t^2.26 + t^2.46 + 2*t^2.56 + 2*t^3.15 + t^3.44 + t^4.03 + t^4.13 + t^4.23 + 3*t^4.33 + 4*t^4.43 + 3*t^4.52 + 2*t^4.62 + 6*t^4.72 + 4*t^4.82 + t^4.92 + 2*t^5.02 + 3*t^5.11 + 4*t^5.31 + 4*t^5.41 + 3*t^5.61 + 4*t^5.7 - 2*t^6. - t^4.57/y - t^4.57*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2047 | 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$ + $ M_7q_1\tilde{q}_1$ | 0.6491 | 0.8553 | 0.7589 | [X:[], M:[0.9707, 1.0879, 1.0293, 0.9121, 0.7303, 0.755, 0.7889], q:[0.7427, 0.2866], qb:[0.4684, 0.4437], phi:[0.5146]] | 2*t^2.19 + 2*t^2.27 + t^2.37 + t^2.74 + 2*t^3.09 + t^3.26 + t^3.56 + t^4.21 + t^4.28 + t^4.35 + 3*t^4.38 + 4*t^4.46 + 3*t^4.53 + 2*t^4.56 + 2*t^4.63 + t^4.73 + 2*t^4.93 + 2*t^5. + t^5.1 + 4*t^5.28 + 4*t^5.35 + 3*t^5.45 + t^5.47 + t^5.53 + t^5.63 + 2*t^5.75 + 3*t^5.82 - 3*t^6. - t^4.54/y - t^4.54*y | detail |