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 |
|---|---|---|---|---|---|---|---|---|---|
| 3535 | 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$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6892 | 0.8767 | 0.7861 | [X:[], M:[0.8219, 1.0594, 1.1781, 0.7032, 0.8219, 1.0548, 0.7123], q:[0.4132, 0.7648], qb:[0.4087, 0.5319], phi:[0.4703]] | [X:[], M:[[-12], [4], [12], [-20], [-12], [-30], [48]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_6$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_7^2$, $ M_1M_4$, $ M_4M_5$, $ M_1M_7$, $ M_5M_7$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_7\phi_1^2$, $ M_4M_6$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_7$, $ M_1M_6$, $ M_5M_6$, $ M_4q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ M_7q_2\tilde{q}_1$, $ M_6\phi_1^2$, $ M_4\phi_1q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_1$ | $M_4\phi_1q_1^2$ | -1 | t^2.11 + t^2.14 + 2*t^2.47 + t^2.82 + t^3.16 + t^3.18 + t^3.52 + t^3.88 + t^3.89 + t^4.22 + t^4.23 + 2*t^4.25 + t^4.27 + 2*t^4.58 + 3*t^4.6 + 4*t^4.93 + t^4.96 + t^5.27 + 3*t^5.29 + t^5.3 + t^5.31 + 2*t^5.63 + 2*t^5.64 + t^5.66 + 3*t^5.99 - t^6. + t^6.03 + 2*t^6.33 + 4*t^6.34 + 2*t^6.36 + 2*t^6.38 + t^6.41 + 3*t^6.69 + 2*t^6.7 + 4*t^6.71 + 3*t^6.74 + 4*t^7.04 + 5*t^7.07 + t^7.1 + t^7.38 + 7*t^7.4 + 3*t^7.42 + t^7.44 + t^7.45 + 2*t^7.74 + 5*t^7.75 + 2*t^7.77 + t^7.78 + t^7.79 + 4*t^8.1 + t^8.11 + 2*t^8.12 - t^8.14 + t^8.16 + 2*t^8.44 + 6*t^8.45 - t^8.47 + t^8.48 + 3*t^8.49 + 2*t^8.52 + t^8.55 + 4*t^8.79 + 6*t^8.81 + t^8.82 + 5*t^8.85 + 3*t^8.88 - t^4.41/y - t^6.52/y - t^6.55/y - t^6.88/y + (2*t^7.25)/y + t^7.58/y + (2*t^7.6)/y + (2*t^7.93)/y + t^7.95/y + t^7.96/y + (2*t^8.27)/y + (3*t^8.29)/y + (2*t^8.3)/y + t^8.31/y + (2*t^8.63)/y + (2*t^8.64)/y - t^8.68/y + (3*t^8.99)/y - t^4.41*y - t^6.52*y - t^6.55*y - t^6.88*y + 2*t^7.25*y + t^7.58*y + 2*t^7.6*y + 2*t^7.93*y + t^7.95*y + t^7.96*y + 2*t^8.27*y + 3*t^8.29*y + 2*t^8.3*y + t^8.31*y + 2*t^8.63*y + 2*t^8.64*y - t^8.68*y + 3*t^8.99*y | t^2.11/g1^20 + g1^48*t^2.14 + (2*t^2.47)/g1^12 + t^2.82/g1^4 + t^3.16/g1^30 + g1^4*t^3.18 + t^3.52/g1^22 + t^3.88/g1^14 + g1^20*t^3.89 + t^4.22/g1^40 + t^4.23/g1^6 + 2*g1^28*t^4.25 + g1^96*t^4.27 + (2*t^4.58)/g1^32 + 3*g1^36*t^4.6 + (4*t^4.93)/g1^24 + g1^44*t^4.96 + t^5.27/g1^50 + (3*t^5.29)/g1^16 + g1^18*t^5.3 + g1^52*t^5.31 + (2*t^5.63)/g1^42 + (2*t^5.64)/g1^8 + g1^26*t^5.66 + (3*t^5.99)/g1^34 - t^6. + g1^68*t^6.03 + (2*t^6.33)/g1^60 + (4*t^6.34)/g1^26 + 2*g1^8*t^6.36 + 2*g1^76*t^6.38 + g1^144*t^6.41 + (3*t^6.69)/g1^52 + (2*t^6.7)/g1^18 + 4*g1^16*t^6.71 + 3*g1^84*t^6.74 + (4*t^7.04)/g1^44 + 5*g1^24*t^7.07 + g1^92*t^7.1 + t^7.38/g1^70 + (7*t^7.4)/g1^36 + 3*g1^32*t^7.42 + g1^66*t^7.44 + g1^100*t^7.45 + (2*t^7.74)/g1^62 + (5*t^7.75)/g1^28 + 2*g1^6*t^7.77 + g1^40*t^7.78 + g1^74*t^7.79 + (4*t^8.1)/g1^54 + t^8.11/g1^20 + 2*g1^14*t^8.12 - g1^48*t^8.14 + g1^116*t^8.16 + (2*t^8.44)/g1^80 + (6*t^8.45)/g1^46 - t^8.47/g1^12 + g1^22*t^8.48 + 3*g1^56*t^8.49 + 2*g1^124*t^8.52 + g1^192*t^8.55 + (4*t^8.79)/g1^72 + (6*t^8.81)/g1^38 + t^8.82/g1^4 + 5*g1^64*t^8.85 + 3*g1^132*t^8.88 - t^4.41/(g1^2*y) - t^6.52/(g1^22*y) - (g1^46*t^6.55)/y - t^6.88/(g1^14*y) + (2*g1^28*t^7.25)/y + t^7.58/(g1^32*y) + (2*g1^36*t^7.6)/y + (2*t^7.93)/(g1^24*y) + (g1^10*t^7.95)/y + (g1^44*t^7.96)/y + (2*t^8.27)/(g1^50*y) + (3*t^8.29)/(g1^16*y) + (2*g1^18*t^8.3)/y + (g1^52*t^8.31)/y + (2*t^8.63)/(g1^42*y) + (2*t^8.64)/(g1^8*y) - (g1^94*t^8.68)/y + (3*t^8.99)/(g1^34*y) - (t^4.41*y)/g1^2 - (t^6.52*y)/g1^22 - g1^46*t^6.55*y - (t^6.88*y)/g1^14 + 2*g1^28*t^7.25*y + (t^7.58*y)/g1^32 + 2*g1^36*t^7.6*y + (2*t^7.93*y)/g1^24 + g1^10*t^7.95*y + g1^44*t^7.96*y + (2*t^8.27*y)/g1^50 + (3*t^8.29*y)/g1^16 + 2*g1^18*t^8.3*y + g1^52*t^8.31*y + (2*t^8.63*y)/g1^42 + (2*t^8.64*y)/g1^8 - g1^94*t^8.68*y + (3*t^8.99*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5205 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_7^2$ + $ M_4X_1$ | 0.6178 | 0.7792 | 0.7928 | [X:[1.4167], M:[0.75, 1.0833, 1.25, 0.5833, 0.75, 0.875, 1.0], q:[0.4792, 0.7708], qb:[0.2708, 0.6458], phi:[0.4583]] | 2*t^2.25 + t^2.62 + t^2.75 + t^3. + t^3.12 + t^3.25 + t^3.62 + t^4.12 + 2*t^4.25 + 3*t^4.5 + t^4.75 + t^4.88 + 2*t^5. + 4*t^5.25 + 2*t^5.38 + 2*t^5.5 + t^5.62 + 2*t^5.75 + 3*t^5.88 - t^6. - t^4.38/y - t^4.38*y | detail | {a: 7591/12288, c: 9575/12288, X1: 17/12, M1: 3/4, M2: 13/12, M3: 5/4, M4: 7/12, M5: 3/4, M6: 7/8, M7: 1, q1: 23/48, q2: 37/48, qb1: 13/48, qb2: 31/48, phi1: 11/24} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2952 | 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$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.6692 | 0.8404 | 0.7963 | [X:[], M:[0.8152, 1.0616, 1.1848, 0.6921, 0.8152, 1.0381], q:[0.4194, 0.7654], qb:[0.3959, 0.5425], phi:[0.4692]] | t^2.08 + 2*t^2.45 + t^2.82 + t^3.11 + t^3.18 + t^3.48 + t^3.78 + t^3.85 + t^3.92 + t^4.15 + t^4.22 + t^4.29 + 2*t^4.52 + t^4.66 + 4*t^4.89 + t^5.19 + 3*t^5.26 + 2*t^5.56 + 2*t^5.63 + t^5.86 + 3*t^5.93 - t^6. - t^4.41/y - t^4.41*y | detail |