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 |
|---|---|---|---|---|---|---|---|---|---|
| 5207 | 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_1q_1\tilde{q}_1$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.7095 | 0.9154 | 0.7751 | [X:[], M:[0.8231, 1.059, 1.1769, 0.7051, 0.8231, 1.0576, 0.7064, 0.7078], q:[0.4122, 0.7647], qb:[0.4109, 0.5302], phi:[0.4705]] | [X:[], M:[[-12], [4], [12], [-20], [-12], [-30], [14], [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_8$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_6$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ M_4^2$, $ M_4M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ M_4M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_7M_8$, $ M_8^2$, $ M_1M_4$, $ M_4M_5$, $ M_1M_7$, $ M_5M_7$, $ M_1M_8$, $ M_5M_8$, $ \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$, $ \phi_1q_1q_2$, $ M_8\phi_1^2$, $ M_4M_6$, $ M_2M_4$, $ M_6M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_2M_7$, $ M_6M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_8$, $ 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_8q_2\tilde{q}_1$ | $M_6\phi_1^2$, $ M_4\phi_1q_1^2$, $ M_7\phi_1q_1^2$, $ M_5q_2\tilde{q}_1$ | 1 | 3*t^2.12 + 2*t^2.47 + t^2.82 + t^3.17 + t^3.18 + t^3.53 + t^3.88 + 3*t^4.23 + 4*t^4.24 + t^4.25 + 2*t^4.58 + 5*t^4.59 + 5*t^4.94 + t^4.95 + 5*t^5.29 + 3*t^5.3 + 2*t^5.64 + 4*t^5.65 + t^6. + t^6.01 + 9*t^6.35 + 6*t^6.36 + 2*t^6.37 + 6*t^6.7 + 9*t^6.71 + 3*t^6.72 + 3*t^7.05 + 9*t^7.06 + 2*t^7.07 + t^7.4 + 11*t^7.41 + 8*t^7.42 + 8*t^7.76 + 7*t^7.77 + 3*t^8.11 + t^8.13 + 2*t^8.46 + 10*t^8.47 + 9*t^8.48 + 5*t^8.49 + 4*t^8.81 + 9*t^8.82 + 13*t^8.83 + 6*t^8.84 - t^4.41/y - (3*t^6.53)/y - t^6.88/y + t^7.23/y + (3*t^7.24)/y + t^7.58/y + (4*t^7.59)/y + (4*t^7.94)/y + t^7.95/y + (7*t^8.29)/y + (4*t^8.3)/y + (2*t^8.64)/y - t^8.66/y - t^4.41*y - 3*t^6.53*y - t^6.88*y + t^7.23*y + 3*t^7.24*y + t^7.58*y + 4*t^7.59*y + 4*t^7.94*y + t^7.95*y + 7*t^8.29*y + 4*t^8.3*y + 2*t^8.64*y - t^8.66*y | t^2.12/g1^20 + g1^14*t^2.12 + g1^48*t^2.12 + (2*t^2.47)/g1^12 + t^2.82/g1^4 + t^3.17/g1^30 + g1^4*t^3.18 + t^3.53/g1^22 + g1^20*t^3.88 + t^4.23/g1^40 + (2*t^4.23)/g1^6 + 3*g1^28*t^4.24 + g1^62*t^4.24 + g1^96*t^4.25 + (2*t^4.58)/g1^32 + 2*g1^2*t^4.59 + 3*g1^36*t^4.59 + (4*t^4.94)/g1^24 + g1^10*t^4.94 + g1^44*t^4.95 + t^5.29/g1^50 + (4*t^5.29)/g1^16 + 2*g1^18*t^5.3 + g1^52*t^5.3 + (2*t^5.64)/g1^42 + (3*t^5.65)/g1^8 + g1^26*t^5.65 - t^6. + (2*t^6.)/g1^34 + g1^68*t^6.01 + (2*t^6.35)/g1^60 + (3*t^6.35)/g1^26 + 4*g1^8*t^6.35 + 3*g1^42*t^6.36 + 3*g1^76*t^6.36 + g1^110*t^6.37 + g1^144*t^6.37 + (3*t^6.7)/g1^52 + (3*t^6.7)/g1^18 + 6*g1^16*t^6.71 + 3*g1^50*t^6.71 + 3*g1^84*t^6.72 + (3*t^7.05)/g1^44 + (3*t^7.06)/g1^10 + 6*g1^24*t^7.06 + g1^58*t^7.07 + g1^92*t^7.07 + t^7.4/g1^70 + (7*t^7.41)/g1^36 + (4*t^7.41)/g1^2 + 5*g1^32*t^7.42 + 2*g1^66*t^7.42 + g1^100*t^7.42 + (2*t^7.76)/g1^62 + (6*t^7.76)/g1^28 + 4*g1^6*t^7.77 + 2*g1^40*t^7.77 + g1^74*t^7.77 + (3*t^8.11)/g1^54 + (2*t^8.12)/g1^20 - g1^14*t^8.12 - g1^48*t^8.12 + g1^116*t^8.13 + (2*t^8.46)/g1^80 + (6*t^8.47)/g1^46 + (2*t^8.47)/g1^12 + 2*g1^22*t^8.47 + 6*g1^56*t^8.48 + 3*g1^90*t^8.48 + 3*g1^124*t^8.49 + g1^158*t^8.49 + g1^192*t^8.49 + (4*t^8.81)/g1^72 + (5*t^8.82)/g1^38 + (4*t^8.82)/g1^4 + 5*g1^30*t^8.83 + 8*g1^64*t^8.83 + 3*g1^98*t^8.84 + 3*g1^132*t^8.84 - t^4.41/(g1^2*y) - t^6.53/(g1^22*y) - (g1^12*t^6.53)/y - (g1^46*t^6.53)/y - t^6.88/(g1^14*y) + t^7.23/(g1^6*y) + (2*g1^28*t^7.24)/y + (g1^62*t^7.24)/y + t^7.58/(g1^32*y) + (2*g1^2*t^7.59)/y + (2*g1^36*t^7.59)/y + (2*t^7.94)/(g1^24*y) + (2*g1^10*t^7.94)/y + (g1^44*t^7.95)/y + (2*t^8.29)/(g1^50*y) + (5*t^8.29)/(g1^16*y) + (3*g1^18*t^8.3)/y + (g1^52*t^8.3)/y + (2*t^8.64)/(g1^42*y) + (2*t^8.65)/(g1^8*y) - (g1^26*t^8.65)/y - (g1^60*t^8.65)/y - (g1^94*t^8.66)/y - (t^4.41*y)/g1^2 - (t^6.53*y)/g1^22 - g1^12*t^6.53*y - g1^46*t^6.53*y - (t^6.88*y)/g1^14 + (t^7.23*y)/g1^6 + 2*g1^28*t^7.24*y + g1^62*t^7.24*y + (t^7.58*y)/g1^32 + 2*g1^2*t^7.59*y + 2*g1^36*t^7.59*y + (2*t^7.94*y)/g1^24 + 2*g1^10*t^7.94*y + g1^44*t^7.95*y + (2*t^8.29*y)/g1^50 + (5*t^8.29*y)/g1^16 + 3*g1^18*t^8.3*y + g1^52*t^8.3*y + (2*t^8.64*y)/g1^42 + (2*t^8.65*y)/g1^8 - g1^26*t^8.65*y - g1^60*t^8.65*y - g1^94*t^8.66*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 |
|---|---|---|---|---|---|---|---|---|
| 6758 | $M_1q_1q_2$ + $ 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_1q_1\tilde{q}_1$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_2M_9$ | 0.715 | 0.9245 | 0.7734 | [X:[], M:[0.8217, 1.0594, 1.1783, 0.7029, 0.8217, 1.0543, 0.708, 0.7131, 0.9406], q:[0.4134, 0.7649], qb:[0.4083, 0.5323], phi:[0.4703]] | t^2.11 + t^2.12 + t^2.14 + 2*t^2.47 + 2*t^2.82 + t^3.16 + t^3.52 + t^3.89 + t^4.22 + 2*t^4.23 + 3*t^4.25 + t^4.26 + t^4.28 + 2*t^4.57 + 2*t^4.59 + 3*t^4.6 + 5*t^4.93 + 2*t^4.95 + 2*t^4.96 + t^5.27 + 5*t^5.29 + t^5.3 + 2*t^5.63 + 3*t^5.64 + t^5.66 + 3*t^5.98 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
| 6757 | $M_1q_1q_2$ + $ 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_1q_1\tilde{q}_1$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_7M_8$ + $ M_4X_1$ | 0.5668 | 0.7341 | 0.772 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 0.7097, 0.7742, 0.8387, 1.1613], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | 2*t^2.13 + t^2.32 + t^2.52 + t^2.71 + t^2.9 + t^3.29 + t^3.48 + t^4.06 + 3*t^4.26 + 3*t^4.45 + 3*t^4.65 + 3*t^4.84 + 4*t^5.03 + 2*t^5.23 + 3*t^5.42 + 4*t^5.61 + t^5.81 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 270147/476656, c: 174955/238328, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 22/31, M6: 24/31, M7: 26/31, M8: 36/31, q1: 16/31, q2: 24/31, qb1: 6/31, qb2: 22/31, phi1: 14/31} |
| 6759 | $M_1q_1q_2$ + $ 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_1q_1\tilde{q}_1$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_9\phi_1q_1^2$ | 0.73 | 0.9543 | 0.7649 | [X:[], M:[0.8216, 1.0595, 1.1784, 0.7027, 0.8216, 1.0541, 0.7081, 0.7134, 0.7027], q:[0.4135, 0.7649], qb:[0.4081, 0.5324], phi:[0.4703]] | 2*t^2.11 + t^2.12 + t^2.14 + 2*t^2.46 + t^2.82 + t^3.16 + t^3.18 + t^3.52 + 3*t^4.22 + 3*t^4.23 + 4*t^4.25 + t^4.26 + t^4.28 + 4*t^4.57 + 2*t^4.59 + 3*t^4.61 + 5*t^4.93 + t^4.95 + t^4.96 + 2*t^5.27 + 5*t^5.29 + 2*t^5.3 + t^5.32 + 3*t^5.63 + 3*t^5.64 + t^5.66 + 2*t^5.98 - 2*t^6. - t^4.41/y - t^4.41*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3536 | 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_1q_1\tilde{q}_1$ | 0.6894 | 0.878 | 0.7852 | [X:[], M:[0.8172, 1.0609, 1.1828, 0.6954, 0.8172, 1.043, 0.7132], q:[0.4175, 0.7652], qb:[0.3997, 0.5394], phi:[0.4695]] | t^2.09 + t^2.14 + 2*t^2.45 + t^2.82 + t^3.13 + t^3.18 + t^3.49 + t^3.81 + t^3.91 + t^4.17 + 2*t^4.23 + 2*t^4.28 + 2*t^4.54 + 2*t^4.59 + t^4.65 + 4*t^4.9 + t^4.96 + t^5.22 + 4*t^5.27 + t^5.32 + 2*t^5.58 + 3*t^5.63 + t^5.89 + 3*t^5.95 - t^6. - t^4.41/y - t^4.41*y | detail |