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 |
|---|---|---|---|---|---|---|---|---|---|
| 546 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ | 0.594 | 0.7723 | 0.7691 | [X:[], M:[0.9215, 1.2355, 0.9215, 0.7645], q:[0.7304, 0.3481], qb:[0.3481, 0.4164], phi:[0.5392]] | [X:[], M:[[4], [-12], [4], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ M_4$, $ q_2\tilde{q}_2$, $ M_1$, $ M_3$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1^3$ | $M_2M_4$, $ M_3q_1\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1^2\tilde{q}_2$ | 3 | t^2.09 + 2*t^2.29 + 2*t^2.76 + t^3.24 + t^3.44 + 3*t^3.71 + 2*t^3.91 + t^4.12 + t^4.18 + 2*t^4.38 + 3*t^4.59 + 2*t^4.85 + 4*t^5.06 + t^5.32 + 5*t^5.53 + 2*t^5.73 + t^5.79 + 3*t^6. + 4*t^6.21 + t^6.27 + 2*t^6.41 + 4*t^6.47 + 5*t^6.68 + 6*t^6.88 + 2*t^6.94 + 3*t^7.15 + 7*t^7.35 + 4*t^7.41 + t^7.56 + 3*t^7.62 + 9*t^7.82 + t^7.88 + 5*t^8.03 - t^8.09 + t^8.23 + 5*t^8.29 + t^8.35 + 6*t^8.5 + 3*t^8.7 - t^8.76 + 7*t^8.97 - t^4.62/y + t^7.38/y + t^7.59/y + (3*t^7.85)/y + (4*t^8.06)/y + t^8.32/y + (4*t^8.53)/y + (2*t^8.73)/y + (3*t^8.79)/y - t^4.62*y + t^7.38*y + t^7.59*y + 3*t^7.85*y + 4*t^8.06*y + t^8.32*y + 4*t^8.53*y + 2*t^8.73*y + 3*t^8.79*y | t^2.09/g1^10 + 2*g1^12*t^2.29 + 2*g1^4*t^2.76 + t^3.24/g1^4 + g1^18*t^3.44 + (3*t^3.71)/g1^12 + 2*g1^10*t^3.91 + g1^32*t^4.12 + t^4.18/g1^20 + 2*g1^2*t^4.38 + 3*g1^24*t^4.59 + (2*t^4.85)/g1^6 + 4*g1^16*t^5.06 + t^5.32/g1^14 + 5*g1^8*t^5.53 + 2*g1^30*t^5.73 + t^5.79/g1^22 + 3*t^6. + 4*g1^22*t^6.21 + t^6.27/g1^30 + 2*g1^44*t^6.41 + (4*t^6.47)/g1^8 + 5*g1^14*t^6.68 + 6*g1^36*t^6.88 + (2*t^6.94)/g1^16 + 3*g1^6*t^7.15 + 7*g1^28*t^7.35 + (4*t^7.41)/g1^24 + g1^50*t^7.56 + (3*t^7.62)/g1^2 + 9*g1^20*t^7.82 + t^7.88/g1^32 + 5*g1^42*t^8.03 - t^8.09/g1^10 + g1^64*t^8.23 + 5*g1^12*t^8.29 + t^8.35/g1^40 + 6*g1^34*t^8.5 + 3*g1^56*t^8.7 - g1^4*t^8.76 + 7*g1^26*t^8.97 - t^4.62/(g1^2*y) + (g1^2*t^7.38)/y + (g1^24*t^7.59)/y + (3*t^7.85)/(g1^6*y) + (4*g1^16*t^8.06)/y + t^8.32/(g1^14*y) + (4*g1^8*t^8.53)/y + (2*g1^30*t^8.73)/y + (3*t^8.79)/(g1^22*y) - (t^4.62*y)/g1^2 + g1^2*t^7.38*y + g1^24*t^7.59*y + (3*t^7.85*y)/g1^6 + 4*g1^16*t^8.06*y + (t^8.32*y)/g1^14 + 4*g1^8*t^8.53*y + 2*g1^30*t^8.73*y + (3*t^8.79*y)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 858 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6146 | 0.8118 | 0.7571 | [X:[], M:[0.9224, 1.2329, 0.9224, 0.7671, 0.6941], q:[0.7306, 0.347], qb:[0.347, 0.4201], phi:[0.5388]] | 2*t^2.08 + 2*t^2.3 + 2*t^2.77 + t^3.23 + t^3.45 + 3*t^3.7 + t^3.92 + t^4.14 + 3*t^4.16 + 4*t^4.38 + 3*t^4.6 + 4*t^4.85 + 4*t^5.07 + 2*t^5.32 + 6*t^5.53 + 2*t^5.75 + 4*t^5.78 + 3*t^6. - t^4.62/y - t^4.62*y | detail | |
| 1897 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5q_1\tilde{q}_1$ | 0.6013 | 0.7852 | 0.7658 | [X:[], M:[0.9195, 1.2415, 0.9195, 0.7585, 0.9195], q:[0.7299, 0.3506], qb:[0.3506, 0.4078], phi:[0.5403]] | t^2.1 + 2*t^2.28 + 3*t^2.76 + t^3.41 + 3*t^3.72 + 2*t^3.9 + t^4.07 + t^4.21 + 2*t^4.38 + 3*t^4.55 + 3*t^4.86 + 6*t^5.03 + 6*t^5.52 + 2*t^5.69 + t^5.83 + t^6. - t^4.62/y - t^4.62*y | detail | |
| 1898 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ | 0.608 | 0.7955 | 0.7643 | [X:[], M:[0.9286, 1.2142, 0.9286, 0.7858, 0.8213], q:[0.7321, 0.3393], qb:[0.3393, 0.4465], phi:[0.5357]] | t^2.04 + 2*t^2.36 + t^2.46 + 2*t^2.79 + t^3.21 + 3*t^3.64 + 2*t^3.96 + t^4.07 + t^4.29 + 2*t^4.39 + t^4.5 + 3*t^4.71 + 4*t^4.82 + t^4.93 + 4*t^5.14 + 3*t^5.25 + 4*t^5.57 + 2*t^5.68 + 3*t^6. - t^4.61/y - t^4.61*y | detail | |
| 857 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ \phi_1q_2^3\tilde{q}_1$ | 0.5905 | 0.7724 | 0.7646 | [X:[], M:[0.9091, 1.2727, 0.9091, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]] | 3*t^2.18 + 2*t^2.73 + 2*t^3.27 + 6*t^3.82 + 6*t^4.36 + 6*t^4.91 + 8*t^5.45 + 10*t^6. - t^4.64/y - t^4.64*y | detail | {a: 786/1331, c: 1028/1331, M1: 10/11, M2: 14/11, M3: 10/11, M4: 8/11, q1: 8/11, q2: 4/11, qb1: 4/11, qb2: 4/11, phi1: 6/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 346 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6106 | 0.7864 | 0.7765 | [X:[], M:[0.9696, 1.0912, 0.9696, 0.7332], q:[0.7424, 0.288], qb:[0.4636, 0.4453], phi:[0.5152]] | 2*t^2.2 + t^2.25 + 2*t^2.91 + 2*t^3.27 + t^3.56 + t^3.62 + t^3.75 + t^4.22 + t^4.27 + t^4.33 + 3*t^4.4 + 2*t^4.45 + t^4.51 + 4*t^5.11 + 2*t^5.16 + 3*t^5.47 + t^5.53 + 2*t^5.76 + 5*t^5.82 + t^5.87 + t^5.95 - 3*t^6. - t^4.55/y - t^4.55*y | detail |