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 |
|---|---|---|---|---|---|---|---|---|---|
| 2262 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_1M_4$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ | 0.6865 | 0.8814 | 0.7788 | [X:[], M:[1.1761, 0.7441, 0.8239, 0.8239, 0.7441, 0.8239, 0.7042], q:[0.804, 0.4519], qb:[0.3721, 0.804], phi:[0.392]] | [X:[], M:[[-6], [-14], [6], [6], [-14], [6], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_4$, $ M_6$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_7^2$, $ M_2M_7$, $ M_5M_7$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_7\phi_1^2$, $ M_3M_7$, $ M_4M_7$, $ M_6M_7$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_2M_3$, $ M_2M_4$, $ M_3M_5$, $ M_4M_5$, $ M_2M_6$, $ M_5M_6$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_6$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_2\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_7\phi_1q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$ | $\phi_1^3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$ | -2 | t^2.11 + 2*t^2.23 + t^2.35 + 3*t^2.47 + t^3.41 + t^3.65 + t^4.23 + 2*t^4.35 + 4*t^4.46 + 5*t^4.58 + 7*t^4.7 + 4*t^4.82 + 6*t^4.94 + t^5.52 + 2*t^5.64 + t^5.76 + 3*t^5.88 - 2*t^6. + t^6.12 - t^6.24 + t^6.34 + 2*t^6.46 + 4*t^6.58 + 9*t^6.7 + 11*t^6.82 + 14*t^6.94 + 13*t^7.06 + 12*t^7.18 + 5*t^7.3 + 7*t^7.42 - t^7.54 + t^7.63 + 2*t^7.75 + 4*t^7.87 + 3*t^7.99 + 3*t^8.11 - 5*t^8.23 - 2*t^8.35 + t^8.45 - 11*t^8.47 + 2*t^8.57 - 3*t^8.59 + 4*t^8.69 - 4*t^8.71 + 9*t^8.81 + 16*t^8.93 - t^4.18/y - t^6.29/y - (2*t^6.41)/y - t^6.53/y - (2*t^6.65)/y + (2*t^7.35)/y + (2*t^7.46)/y + (5*t^7.58)/y + (8*t^7.7)/y + (4*t^7.82)/y + (5*t^7.94)/y + t^8.06/y - t^8.4/y - t^8.52/y - (2*t^8.64)/y - (2*t^8.76)/y - t^4.18*y - t^6.29*y - 2*t^6.41*y - t^6.53*y - 2*t^6.65*y + 2*t^7.35*y + 2*t^7.46*y + 5*t^7.58*y + 8*t^7.7*y + 4*t^7.82*y + 5*t^7.94*y + t^8.06*y - t^8.4*y - t^8.52*y - 2*t^8.64*y - 2*t^8.76*y | t^2.11/g1^24 + (2*t^2.23)/g1^14 + t^2.35/g1^4 + 3*g1^6*t^2.47 + t^3.41/g1^16 + g1^4*t^3.65 + t^4.23/g1^48 + (2*t^4.35)/g1^38 + (4*t^4.46)/g1^28 + (5*t^4.58)/g1^18 + (7*t^4.7)/g1^8 + 4*g1^2*t^4.82 + 6*g1^12*t^4.94 + t^5.52/g1^40 + (2*t^5.64)/g1^30 + t^5.76/g1^20 + (3*t^5.88)/g1^10 - 2*t^6. + g1^10*t^6.12 - g1^20*t^6.24 + t^6.34/g1^72 + (2*t^6.46)/g1^62 + (4*t^6.58)/g1^52 + (9*t^6.7)/g1^42 + (11*t^6.82)/g1^32 + (14*t^6.94)/g1^22 + (13*t^7.06)/g1^12 + (12*t^7.18)/g1^2 + 5*g1^8*t^7.3 + 7*g1^18*t^7.42 - g1^28*t^7.54 + t^7.63/g1^64 + (2*t^7.75)/g1^54 + (4*t^7.87)/g1^44 + (3*t^7.99)/g1^34 + (3*t^8.11)/g1^24 - (5*t^8.23)/g1^14 - (2*t^8.35)/g1^4 + t^8.45/g1^96 - 11*g1^6*t^8.47 + (2*t^8.57)/g1^86 - 3*g1^16*t^8.59 + (4*t^8.69)/g1^76 - 4*g1^26*t^8.71 + (9*t^8.81)/g1^66 + (16*t^8.93)/g1^56 - t^4.18/(g1^2*y) - t^6.29/(g1^26*y) - (2*t^6.41)/(g1^16*y) - t^6.53/(g1^6*y) - (2*g1^4*t^6.65)/y + (2*t^7.35)/(g1^38*y) + (2*t^7.46)/(g1^28*y) + (5*t^7.58)/(g1^18*y) + (8*t^7.7)/(g1^8*y) + (4*g1^2*t^7.82)/y + (5*g1^12*t^7.94)/y + (g1^22*t^8.06)/y - t^8.4/(g1^50*y) - t^8.52/(g1^40*y) - (2*t^8.64)/(g1^30*y) - (2*t^8.76)/(g1^20*y) - (t^4.18*y)/g1^2 - (t^6.29*y)/g1^26 - (2*t^6.41*y)/g1^16 - (t^6.53*y)/g1^6 - 2*g1^4*t^6.65*y + (2*t^7.35*y)/g1^38 + (2*t^7.46*y)/g1^28 + (5*t^7.58*y)/g1^18 + (8*t^7.7*y)/g1^8 + 4*g1^2*t^7.82*y + 5*g1^12*t^7.94*y + g1^22*t^8.06*y - (t^8.4*y)/g1^50 - (t^8.52*y)/g1^40 - (2*t^8.64*y)/g1^30 - (2*t^8.76*y)/g1^20 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4264 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_1M_4$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ M_2M_7$ | 0.6038 | 0.7716 | 0.7826 | [X:[], M:[1.2632, 0.9474, 0.7368, 0.7368, 0.9474, 0.7368, 1.0526], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] | 3*t^2.21 + t^2.53 + 2*t^2.84 + t^3.16 + t^3.47 + t^4.11 + 6*t^4.42 + 4*t^4.74 + 7*t^5.05 + 4*t^5.37 + 5*t^5.68 - t^4.26/y - t^4.26*y | detail | {a: 66267/109744, c: 42339/54872, M1: 24/19, M2: 18/19, M3: 14/19, M4: 14/19, M5: 18/19, M6: 14/19, M7: 20/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, phi1: 8/19} |
| 4262 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_1M_4$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ | 0.6255 | 0.7974 | 0.7844 | [X:[], M:[1.25, 0.9167, 0.75, 0.75, 0.9167, 0.75, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | 3*t^2.25 + t^2.5 + 2*t^2.75 + t^3. + t^3.5 + t^4. + 6*t^4.5 + 4*t^4.75 + 7*t^5. + 5*t^5.25 + 3*t^5.5 + 3*t^5.75 - t^6. - t^4.25/y - t^4.25*y | detail | {a: 1281/2048, c: 1633/2048, M1: 5/4, M2: 11/12, M3: 3/4, M4: 3/4, M5: 11/12, M6: 3/4, M7: 1, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
| 4263 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_1M_4$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6993 | 0.9017 | 0.7756 | [X:[], M:[1.1839, 0.7625, 0.8161, 0.8161, 0.7625, 0.8161, 0.7356, 0.8429], q:[0.8027, 0.4349], qb:[0.3812, 0.8027], phi:[0.3946]] | t^2.21 + 2*t^2.29 + t^2.37 + 3*t^2.45 + t^2.53 + t^3.63 + t^4.41 + 2*t^4.49 + 4*t^4.57 + 5*t^4.66 + 8*t^4.74 + 6*t^4.82 + 7*t^4.9 + 3*t^4.98 + t^5.06 - 2*t^6. - t^4.18/y - t^4.18*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1203 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_1M_4$ + $ M_1M_6$ | 0.6662 | 0.8424 | 0.7908 | [X:[], M:[1.1807, 0.7549, 0.8193, 0.8193, 0.7549, 0.8193], q:[0.8032, 0.4418], qb:[0.3775, 0.8032], phi:[0.3936]] | 2*t^2.26 + t^2.36 + 3*t^2.46 + t^3.45 + t^3.64 + t^3.83 + 3*t^4.53 + 2*t^4.63 + 7*t^4.72 + 4*t^4.82 + 6*t^4.92 + 2*t^5.71 + 3*t^5.9 - 2*t^6. - t^4.18/y - t^4.18*y | detail |