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 |
|---|---|---|---|---|---|---|---|---|---|
| 5483 | 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_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2M_8$ | 0.7 | 0.8987 | 0.7789 | [X:[], M:[0.8247, 1.0584, 1.1753, 0.7078, 0.7045, 1.0618, 0.7012, 0.9416], q:[0.4107, 0.7646], qb:[0.414, 0.5276], phi:[0.4708]] | [X:[], M:[[-12], [4], [12], [-20], [14], [-30], [48], [-4]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_5$, $ M_4$, $ M_1$, $ M_8$, $ \phi_1^2$, $ M_6$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ M_7^2$, $ M_5M_7$, $ M_5^2$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_1M_7$, $ \phi_1\tilde{q}_2^2$, $ M_1M_5$, $ M_1M_4$, $ M_7M_8$, $ M_7\phi_1^2$, $ M_5M_8$, $ M_5\phi_1^2$, $ \phi_1q_1q_2$, $ M_1^2$, $ M_4M_8$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_6$, $ M_1M_8$, $ M_1\phi_1^2$, $ M_4M_6$, $ M_3M_7$, $ M_3M_5$, $ M_7q_2\tilde{q}_1$, $ M_3M_4$, $ M_8^2$, $ M_8\phi_1^2$, $ \phi_1^4$, $ M_5q_2\tilde{q}_1$, $ M_1M_6$, $ M_4q_2\tilde{q}_1$, $ M_7\phi_1q_1^2$ | $M_4\phi_1q_1^2$ | -1 | t^2.1 + t^2.11 + t^2.12 + t^2.47 + 2*t^2.82 + t^3.19 + t^3.53 + t^3.54 + t^3.88 + t^4.21 + t^4.22 + 3*t^4.23 + 2*t^4.24 + t^4.25 + 2*t^4.58 + t^4.59 + t^4.6 + 2*t^4.93 + 2*t^4.94 + 3*t^4.95 + t^5.29 + 3*t^5.3 + t^5.31 + t^5.63 + 2*t^5.64 + 4*t^5.65 + t^5.66 + t^5.98 - t^6. + 2*t^6.01 + t^6.31 + t^6.32 + 3*t^6.33 + 3*t^6.34 + 4*t^6.35 + 3*t^6.36 + 2*t^6.37 + 2*t^6.68 + 2*t^6.69 + 4*t^6.7 + t^6.71 + 2*t^6.72 + 2*t^7.03 + 2*t^7.04 + 6*t^7.05 + 4*t^7.06 + 2*t^7.07 + t^7.39 + 4*t^7.4 + 2*t^7.41 + 3*t^7.42 + t^7.43 + t^7.73 + 2*t^7.74 + 4*t^7.75 + 5*t^7.76 + 5*t^7.77 + t^7.78 + t^8.08 - t^8.11 + t^8.12 + 2*t^8.13 + t^8.41 + t^8.42 + 3*t^8.43 + 3*t^8.44 + 6*t^8.45 + 3*t^8.46 + 6*t^8.47 + 4*t^8.48 + 2*t^8.49 + 2*t^8.78 + 2*t^8.79 + 6*t^8.8 + 2*t^8.81 - t^8.82 + 4*t^8.83 + 2*t^8.84 - t^4.41/y - t^6.52/y - t^6.53/y - t^6.54/y + t^7.22/y + (2*t^7.23)/y + t^7.58/y + (2*t^7.59)/y + (2*t^7.93)/y + (2*t^7.94)/y + (2*t^7.95)/y + (2*t^8.29)/y + (4*t^8.3)/y + (2*t^8.31)/y - t^8.62/y + (2*t^8.65)/y + t^8.66/y + t^8.98/y + t^8.99/y - t^4.41*y - t^6.52*y - t^6.53*y - t^6.54*y + t^7.22*y + 2*t^7.23*y + t^7.58*y + 2*t^7.59*y + 2*t^7.93*y + 2*t^7.94*y + 2*t^7.95*y + 2*t^8.29*y + 4*t^8.3*y + 2*t^8.31*y - t^8.62*y + 2*t^8.65*y + t^8.66*y + t^8.98*y + t^8.99*y | g1^48*t^2.1 + g1^14*t^2.11 + t^2.12/g1^20 + t^2.47/g1^12 + (2*t^2.82)/g1^4 + t^3.19/g1^30 + g1^12*t^3.53 + t^3.54/g1^22 + g1^20*t^3.88 + g1^96*t^4.21 + g1^62*t^4.22 + 3*g1^28*t^4.23 + (2*t^4.24)/g1^6 + t^4.25/g1^40 + 2*g1^36*t^4.58 + g1^2*t^4.59 + t^4.6/g1^32 + 2*g1^44*t^4.93 + 2*g1^10*t^4.94 + (3*t^4.95)/g1^24 + g1^18*t^5.29 + (3*t^5.3)/g1^16 + t^5.31/g1^50 + g1^60*t^5.63 + 2*g1^26*t^5.64 + (4*t^5.65)/g1^8 + t^5.66/g1^42 + g1^68*t^5.98 - t^6. + (2*t^6.01)/g1^34 + g1^144*t^6.31 + g1^110*t^6.32 + 3*g1^76*t^6.33 + 3*g1^42*t^6.34 + 4*g1^8*t^6.35 + (3*t^6.36)/g1^26 + (2*t^6.37)/g1^60 + 2*g1^84*t^6.68 + 2*g1^50*t^6.69 + 4*g1^16*t^6.7 + t^6.71/g1^18 + (2*t^6.72)/g1^52 + 2*g1^92*t^7.03 + 2*g1^58*t^7.04 + 6*g1^24*t^7.05 + (4*t^7.06)/g1^10 + (2*t^7.07)/g1^44 + g1^66*t^7.39 + 4*g1^32*t^7.4 + (2*t^7.41)/g1^2 + (3*t^7.42)/g1^36 + t^7.43/g1^70 + g1^108*t^7.73 + 2*g1^74*t^7.74 + 4*g1^40*t^7.75 + 5*g1^6*t^7.76 + (5*t^7.77)/g1^28 + t^7.78/g1^62 + g1^116*t^8.08 - g1^14*t^8.11 + t^8.12/g1^20 + (2*t^8.13)/g1^54 + g1^192*t^8.41 + g1^158*t^8.42 + 3*g1^124*t^8.43 + 3*g1^90*t^8.44 + 6*g1^56*t^8.45 + 3*g1^22*t^8.46 + (6*t^8.47)/g1^12 + (4*t^8.48)/g1^46 + (2*t^8.49)/g1^80 + 2*g1^132*t^8.78 + 2*g1^98*t^8.79 + 6*g1^64*t^8.8 + 2*g1^30*t^8.81 - t^8.82/g1^4 + (4*t^8.83)/g1^38 + (2*t^8.84)/g1^72 - t^4.41/(g1^2*y) - (g1^46*t^6.52)/y - (g1^12*t^6.53)/y - t^6.54/(g1^22*y) + (g1^62*t^7.22)/y + (2*g1^28*t^7.23)/y + (g1^36*t^7.58)/y + (2*g1^2*t^7.59)/y + (2*g1^44*t^7.93)/y + (2*g1^10*t^7.94)/y + (2*t^7.95)/(g1^24*y) + (2*g1^18*t^8.29)/y + (4*t^8.3)/(g1^16*y) + (2*t^8.31)/(g1^50*y) - (g1^94*t^8.62)/y + (2*t^8.65)/(g1^8*y) + t^8.66/(g1^42*y) + (g1^68*t^8.98)/y + (g1^34*t^8.99)/y - (t^4.41*y)/g1^2 - g1^46*t^6.52*y - g1^12*t^6.53*y - (t^6.54*y)/g1^22 + g1^62*t^7.22*y + 2*g1^28*t^7.23*y + g1^36*t^7.58*y + 2*g1^2*t^7.59*y + 2*g1^44*t^7.93*y + 2*g1^10*t^7.94*y + (2*t^7.95*y)/g1^24 + 2*g1^18*t^8.29*y + (4*t^8.3*y)/g1^16 + (2*t^8.31*y)/g1^50 - g1^94*t^8.62*y + (2*t^8.65*y)/g1^8 + (t^8.66*y)/g1^42 + g1^68*t^8.98*y + g1^34*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 6927 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2M_8$ + $ M_5M_7$ + $ M_4X_1$ | 0.5552 | 0.7105 | 0.7815 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 0.8387, 0.7742, 1.1613, 0.9032], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | t^2.13 + t^2.32 + t^2.52 + 2*t^2.71 + t^2.9 + t^3.48 + t^3.87 + t^4.06 + t^4.26 + 2*t^4.45 + 2*t^4.65 + 3*t^4.84 + 4*t^5.03 + 3*t^5.23 + 3*t^5.42 + 3*t^5.61 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 264657/476656, c: 169327/238328, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 26/31, M6: 24/31, M7: 36/31, M8: 28/31, q1: 16/31, q2: 24/31, qb1: 6/31, qb2: 22/31, phi1: 14/31} |
| 6926 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2M_8$ + $ M_7^2$ + $ M_4X_1$ | 0.6234 | 0.7874 | 0.7916 | [X:[1.4167], M:[0.75, 1.0833, 1.25, 0.5833, 0.7917, 0.875, 1.0, 0.9167], q:[0.4792, 0.7708], qb:[0.2708, 0.6458], phi:[0.4583]] | t^2.25 + t^2.38 + t^2.62 + 2*t^2.75 + t^3. + t^3.12 + t^3.75 + t^4.12 + 2*t^4.25 + t^4.5 + t^4.62 + 2*t^4.75 + 3*t^5. + 2*t^5.12 + 3*t^5.25 + 3*t^5.38 + 3*t^5.5 + t^5.62 + 3*t^5.75 + t^5.88 - t^6. - t^4.38/y - t^4.38*y | detail | {a: 10213/16384, c: 12901/16384, X1: 17/12, M1: 3/4, M2: 13/12, M3: 5/4, M4: 7/12, M5: 19/24, M6: 7/8, M7: 1, M8: 11/12, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3905 | 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_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6946 | 0.8898 | 0.7806 | [X:[], M:[0.8261, 1.058, 1.1739, 0.7101, 0.7029, 1.0651, 0.6958], q:[0.4095, 0.7645], qb:[0.4166, 0.5254], phi:[0.471]] | t^2.09 + t^2.11 + t^2.13 + t^2.48 + t^2.83 + t^3.17 + t^3.2 + t^3.52 + t^3.54 + t^3.87 + t^4.17 + t^4.2 + 3*t^4.22 + 2*t^4.24 + t^4.26 + 2*t^4.57 + t^4.59 + t^4.61 + t^4.91 + t^4.93 + 2*t^4.96 + t^5.26 + 2*t^5.28 + 3*t^5.3 + t^5.33 + t^5.61 + 2*t^5.63 + 3*t^5.65 + t^5.67 + t^5.96 - t^4.41/y - t^4.41*y | detail |