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 |
|---|---|---|---|---|---|---|---|---|---|
| 3551 | 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$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6688 | 0.8418 | 0.7944 | [X:[], M:[0.8264, 1.0579, 1.1736, 0.7107, 1.0579, 1.066, 0.6944], q:[0.4091, 0.7645], qb:[0.4173, 0.5249], phi:[0.4711]] | [X:[], M:[[-12], [4], [12], [-20], [4], [-30], [48]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_4$, $ M_1$, $ M_2$, $ M_5$, $ M_6$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_7^2$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_1M_7$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_7$, $ M_5M_7$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_4M_5$, $ M_4M_6$, $ M_3M_7$, $ M_7q_2\tilde{q}_1$, $ M_1M_2$, $ M_3M_4$, $ M_1M_5$, $ M_1M_6$, $ M_4q_2\tilde{q}_1$, $ M_7\phi_1q_1^2$ | $M_4\phi_1q_1^2$ | -1 | t^2.08 + t^2.13 + t^2.48 + 2*t^3.17 + t^3.2 + t^3.52 + t^3.55 + t^3.87 + t^3.89 + t^4.17 + 2*t^4.22 + t^4.24 + t^4.26 + 2*t^4.56 + t^4.61 + t^4.96 + 2*t^5.26 + t^5.28 + 2*t^5.31 + t^5.33 + t^5.6 + t^5.63 + 2*t^5.65 + t^5.68 + t^5.95 - t^6. + t^6.02 + t^6.25 + 2*t^6.3 + 3*t^6.35 + 3*t^6.37 + 2*t^6.4 + 2*t^6.65 + 3*t^6.69 + 2*t^6.72 + 2*t^6.74 + 2*t^7.04 + t^7.07 + t^7.09 + 2*t^7.34 + t^7.36 + 3*t^7.39 + 2*t^7.41 + 3*t^7.44 + t^7.46 + t^7.69 + t^7.71 + 3*t^7.74 + 2*t^7.76 + 2*t^7.78 + t^7.81 + t^8.03 - t^8.13 + t^8.16 + t^8.33 + 2*t^8.38 + 4*t^8.43 + t^8.45 + 2*t^8.48 + 3*t^8.5 + 2*t^8.53 + 2*t^8.73 + 4*t^8.78 + 2*t^8.8 + 3*t^8.83 + 2*t^8.85 + 2*t^8.88 - t^4.41/y - t^6.5/y - t^6.55/y + (2*t^7.22)/y + t^7.24/y + t^7.56/y - t^7.59/y + (2*t^8.26)/y + (2*t^8.28)/y + (2*t^8.31)/y + (2*t^8.33)/y - t^8.58/y + t^8.6/y + (3*t^8.65)/y + t^8.68/y + t^8.95/y + t^8.98/y - t^4.41*y - t^6.5*y - t^6.55*y + 2*t^7.22*y + t^7.24*y + t^7.56*y - t^7.59*y + 2*t^8.26*y + 2*t^8.28*y + 2*t^8.31*y + 2*t^8.33*y - t^8.58*y + t^8.6*y + 3*t^8.65*y + t^8.68*y + t^8.95*y + t^8.98*y | g1^48*t^2.08 + t^2.13/g1^20 + t^2.48/g1^12 + 2*g1^4*t^3.17 + t^3.2/g1^30 + g1^12*t^3.52 + t^3.55/g1^22 + g1^20*t^3.87 + t^3.89/g1^14 + g1^96*t^4.17 + 2*g1^28*t^4.22 + t^4.24/g1^6 + t^4.26/g1^40 + 2*g1^36*t^4.56 + t^4.61/g1^32 + t^4.96/g1^24 + 2*g1^52*t^5.26 + g1^18*t^5.28 + (2*t^5.31)/g1^16 + t^5.33/g1^50 + g1^60*t^5.6 + g1^26*t^5.63 + (2*t^5.65)/g1^8 + t^5.68/g1^42 + g1^68*t^5.95 - t^6. + t^6.02/g1^34 + g1^144*t^6.25 + 2*g1^76*t^6.3 + 3*g1^8*t^6.35 + (3*t^6.37)/g1^26 + (2*t^6.4)/g1^60 + 2*g1^84*t^6.65 + 3*g1^16*t^6.69 + (2*t^6.72)/g1^18 + (2*t^6.74)/g1^52 + 2*g1^24*t^7.04 + t^7.07/g1^10 + t^7.09/g1^44 + 2*g1^100*t^7.34 + g1^66*t^7.36 + 3*g1^32*t^7.39 + (2*t^7.41)/g1^2 + (3*t^7.44)/g1^36 + t^7.46/g1^70 + g1^108*t^7.69 + g1^74*t^7.71 + 3*g1^40*t^7.74 + 2*g1^6*t^7.76 + (2*t^7.78)/g1^28 + t^7.81/g1^62 + g1^116*t^8.03 - t^8.13/g1^20 + t^8.16/g1^54 + g1^192*t^8.33 + 2*g1^124*t^8.38 + 4*g1^56*t^8.43 + g1^22*t^8.45 + (2*t^8.48)/g1^12 + (3*t^8.5)/g1^46 + (2*t^8.53)/g1^80 + 2*g1^132*t^8.73 + 4*g1^64*t^8.78 + 2*g1^30*t^8.8 + (3*t^8.83)/g1^4 + (2*t^8.85)/g1^38 + (2*t^8.88)/g1^72 - t^4.41/(g1^2*y) - (g1^46*t^6.5)/y - t^6.55/(g1^22*y) + (2*g1^28*t^7.22)/y + t^7.24/(g1^6*y) + (g1^36*t^7.56)/y - (g1^2*t^7.59)/y + (2*g1^52*t^8.26)/y + (2*g1^18*t^8.28)/y + (2*t^8.31)/(g1^16*y) + (2*t^8.33)/(g1^50*y) - (g1^94*t^8.58)/y + (g1^60*t^8.6)/y + (3*t^8.65)/(g1^8*y) + t^8.68/(g1^42*y) + (g1^68*t^8.95)/y + (g1^34*t^8.98)/y - (t^4.41*y)/g1^2 - g1^46*t^6.5*y - (t^6.55*y)/g1^22 + 2*g1^28*t^7.22*y + (t^7.24*y)/g1^6 + g1^36*t^7.56*y - g1^2*t^7.59*y + 2*g1^52*t^8.26*y + 2*g1^18*t^8.28*y + (2*t^8.31*y)/g1^16 + (2*t^8.33*y)/g1^50 - g1^94*t^8.58*y + g1^60*t^8.6*y + (3*t^8.65*y)/g1^8 + (t^8.68*y)/g1^42 + g1^68*t^8.95*y + g1^34*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 5231 | $M_1q_1q_2$ + $ 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$ + $ M_5\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$ | 0.5911 | 0.7317 | 0.8078 | [X:[1.4167], M:[0.75, 1.0833, 1.25, 0.5833, 1.0833, 0.875, 1.0], q:[0.4792, 0.7708], qb:[0.2708, 0.6458], phi:[0.4583]] | t^2.25 + t^2.62 + t^3. + t^3.12 + 2*t^3.25 + t^3.62 + t^3.75 + t^4.12 + 2*t^4.25 + t^4.5 + t^4.75 + 3*t^5.25 + t^5.5 + t^5.62 + t^5.75 + 2*t^5.88 - t^6. - t^4.38/y - t^4.38*y | detail | {a: 2421/4096, c: 2997/4096, X1: 17/12, M1: 3/4, M2: 13/12, M3: 5/4, M4: 7/12, M5: 13/12, M6: 7/8, M7: 1, q1: 23/48, q2: 37/48, qb1: 13/48, qb2: 31/48, phi1: 11/24} |
| 5225 | $M_1q_1q_2$ + $ 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$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6893 | 0.881 | 0.7823 | [X:[], M:[0.8274, 1.0575, 1.1726, 0.7123, 1.0575, 1.0685, 0.6904, 0.7014], q:[0.4082, 0.7644], qb:[0.4192, 0.5233], phi:[0.4712]] | t^2.07 + t^2.1 + t^2.14 + t^2.48 + 2*t^3.17 + t^3.21 + t^3.52 + t^3.55 + t^3.86 + t^4.14 + t^4.18 + 3*t^4.21 + 2*t^4.24 + t^4.27 + 2*t^4.55 + t^4.59 + t^4.62 + t^4.96 + 2*t^5.24 + 3*t^5.28 + 3*t^5.31 + t^5.34 + t^5.59 + 2*t^5.62 + 3*t^5.65 + t^5.69 + t^5.93 - t^6. - t^4.41/y - t^4.41*y | detail | |
| 5224 | $M_1q_1q_2$ + $ 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$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_1^2$ | 0.6891 | 0.8803 | 0.7828 | [X:[], M:[0.8247, 1.0584, 1.1753, 0.7079, 1.0584, 1.0619, 0.701, 0.7079], q:[0.4106, 0.7646], qb:[0.4141, 0.5275], phi:[0.4708]] | t^2.1 + 2*t^2.12 + t^2.47 + 2*t^3.18 + t^3.19 + t^3.53 + t^3.54 + t^3.89 + t^4.21 + 3*t^4.23 + t^4.24 + 3*t^4.25 + 2*t^4.58 + 2*t^4.6 + t^4.95 + 2*t^5.28 + t^5.29 + 4*t^5.3 + 2*t^5.31 + t^5.63 + t^5.64 + 3*t^5.65 + 2*t^5.66 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2961 | 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$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.6483 | 0.8029 | 0.8074 | [X:[], M:[0.8221, 1.0593, 1.1779, 0.7034, 1.0593, 1.0551], q:[0.4131, 0.7648], qb:[0.4089, 0.5317], phi:[0.4703]] | t^2.11 + t^2.47 + t^3.17 + 2*t^3.18 + t^3.52 + t^3.53 + t^3.86 + t^3.88 + t^3.89 + t^4.22 + t^4.23 + t^4.25 + t^4.58 + t^4.6 + t^4.93 + t^5.28 + 2*t^5.29 + t^5.63 + 2*t^5.64 + t^5.97 + t^5.99 - t^6. - t^4.41/y - t^4.41*y | detail |