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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[-12], [4], [12], [-20], [4], [-30]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_6$, $ M_2$, $ M_5$, $ q_2\tilde{q}_1$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_6$, $ M_2M_4$, $ M_4M_5$, $ M_1M_6$, $ M_4q_2\tilde{q}_1$, $ M_1M_2$, $ M_3M_4$, $ M_1M_5$, $ M_4\phi_1\tilde{q}_1^2$, $ M_4\phi_1q_1\tilde{q}_1$ | $M_4\phi_1q_1^2$ | -1 | 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^6.01 + 3*t^6.33 + 3*t^6.34 + 2*t^6.36 - t^6.37 + 2*t^6.69 + 2*t^6.7 + 2*t^6.71 + t^7.03 + 3*t^7.04 + t^7.06 + t^7.07 + 2*t^7.39 + 4*t^7.4 + t^7.41 + t^7.42 + t^7.73 + 2*t^7.74 + 3*t^7.75 + t^7.77 + t^7.78 + t^8.09 + 2*t^8.1 - t^8.12 + t^8.14 + 3*t^8.44 + 3*t^8.45 + t^8.47 - 2*t^8.48 + t^8.49 + 3*t^8.8 + 2*t^8.81 + t^8.82 + t^8.85 - t^4.41/y - t^6.52/y + t^7.23/y + t^7.25/y - t^7.59/y + t^8.28/y + (2*t^8.29)/y + t^8.3/y + t^8.63/y + (3*t^8.64)/y + t^8.97/y + (2*t^8.99)/y - t^4.41*y - t^6.52*y + t^7.23*y + t^7.25*y - t^7.59*y + t^8.28*y + 2*t^8.29*y + t^8.3*y + t^8.63*y + 3*t^8.64*y + t^8.97*y + 2*t^8.99*y | t^2.11/g1^20 + t^2.47/g1^12 + t^3.17/g1^30 + 2*g1^4*t^3.18 + t^3.52/g1^22 + g1^12*t^3.53 + t^3.86/g1^48 + t^3.88/g1^14 + g1^20*t^3.89 + t^4.22/g1^40 + t^4.23/g1^6 + g1^28*t^4.25 + t^4.58/g1^32 + g1^36*t^4.6 + t^4.93/g1^24 + t^5.28/g1^50 + (2*t^5.29)/g1^16 + t^5.63/g1^42 + (2*t^5.64)/g1^8 + t^5.97/g1^68 + t^5.99/g1^34 - t^6. - g1^34*t^6.01 + (3*t^6.33)/g1^60 + (3*t^6.34)/g1^26 + 2*g1^8*t^6.36 - g1^42*t^6.37 + (2*t^6.69)/g1^52 + (2*t^6.7)/g1^18 + 2*g1^16*t^6.71 + t^7.03/g1^78 + (3*t^7.04)/g1^44 + t^7.06/g1^10 + g1^24*t^7.07 + (2*t^7.39)/g1^70 + (4*t^7.4)/g1^36 + t^7.41/g1^2 + g1^32*t^7.42 + t^7.73/g1^96 + (2*t^7.74)/g1^62 + (3*t^7.75)/g1^28 + g1^6*t^7.77 + g1^40*t^7.78 + t^8.09/g1^88 + (2*t^8.1)/g1^54 - g1^14*t^8.12 + g1^48*t^8.14 + (3*t^8.44)/g1^80 + (3*t^8.45)/g1^46 + t^8.47/g1^12 - 2*g1^22*t^8.48 + g1^56*t^8.49 + (3*t^8.8)/g1^72 + (2*t^8.81)/g1^38 + t^8.82/g1^4 + g1^64*t^8.85 - t^4.41/(g1^2*y) - t^6.52/(g1^22*y) + t^7.23/(g1^6*y) + (g1^28*t^7.25)/y - (g1^2*t^7.59)/y + t^8.28/(g1^50*y) + (2*t^8.29)/(g1^16*y) + (g1^18*t^8.3)/y + t^8.63/(g1^42*y) + (3*t^8.64)/(g1^8*y) + t^8.97/(g1^68*y) + (2*t^8.99)/(g1^34*y) - (t^4.41*y)/g1^2 - (t^6.52*y)/g1^22 + (t^7.23*y)/g1^6 + g1^28*t^7.25*y - g1^2*t^7.59*y + (t^8.28*y)/g1^50 + (2*t^8.29*y)/g1^16 + g1^18*t^8.3*y + (t^8.63*y)/g1^42 + (3*t^8.64*y)/g1^8 + (t^8.97*y)/g1^68 + (2*t^8.99*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3552 | $M_1q_1q_2$ + $ 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_1M_6$ | 0.6401 | 0.7889 | 0.8114 | [X:[], M:[0.8571, 1.0476, 1.1429, 0.7619, 1.0476, 1.1429], q:[0.381, 0.7619], qb:[0.4762, 0.4762], phi:[0.4762]] | t^2.29 + t^2.57 + 2*t^3.14 + 2*t^3.43 + 2*t^3.71 + 2*t^4. + 3*t^4.29 + t^4.57 + t^4.86 + t^5.14 + 2*t^5.43 + 2*t^5.71 - t^6. - t^4.43/y - t^4.43*y | detail | {a: 5269/8232, c: 3247/4116, M1: 6/7, M2: 22/21, M3: 8/7, M4: 16/21, M5: 22/21, M6: 8/7, q1: 8/21, q2: 16/21, qb1: 10/21, qb2: 10/21, phi1: 10/21} |
| 3555 | $M_1q_1q_2$ + $ 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_4\phi_1\tilde{q}_1^2$ | 0.6483 | 0.8027 | 0.8076 | [X:[], M:[0.8235, 1.0588, 1.1765, 0.7059, 1.0588, 1.0588], q:[0.4118, 0.7647], qb:[0.4118, 0.5294], phi:[0.4706]] | t^2.12 + t^2.47 + 3*t^3.18 + 2*t^3.53 + 3*t^3.88 + 3*t^4.24 + 2*t^4.59 + t^4.94 + 3*t^5.29 + 3*t^5.65 - t^4.41/y - t^4.41*y | detail | {a: 25479/39304, c: 7887/9826, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 18/17, M6: 18/17, q1: 7/17, q2: 13/17, qb1: 7/17, qb2: 9/17, phi1: 8/17} |
| 3553 | $M_1q_1q_2$ + $ 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_1q_1\tilde{q}_1$ | 0.6687 | 0.8414 | 0.7947 | [X:[], M:[0.8238, 1.0587, 1.1762, 0.7063, 1.0587, 1.0595, 0.7056], q:[0.4115, 0.7647], qb:[0.4123, 0.529], phi:[0.4706]] | 2*t^2.12 + t^2.47 + 3*t^3.18 + 2*t^3.53 + t^3.88 + t^3.89 + 2*t^4.23 + 3*t^4.24 + 3*t^4.59 + t^4.94 + 2*t^5.29 + 4*t^5.3 + 5*t^5.65 + t^6. - t^4.41/y - t^4.41*y | detail | |
| 3554 | $M_1q_1q_2$ + $ 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_1q_1^2$ | 0.6688 | 0.8425 | 0.7938 | [X:[], M:[0.8199, 1.06, 1.1801, 0.6999, 1.06, 1.0498, 0.6999], q:[0.4151, 0.765], qb:[0.4049, 0.5351], phi:[0.47]] | 2*t^2.1 + t^2.46 + t^3.15 + 2*t^3.18 + t^3.51 + t^3.54 + t^3.84 + t^3.87 + 3*t^4.2 + t^4.23 + t^4.26 + 2*t^4.56 + t^4.62 + t^4.92 + 2*t^5.25 + 4*t^5.28 + 2*t^5.61 + 3*t^5.64 + 2*t^5.94 + 2*t^5.97 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
| 3551 | $M_1q_1q_2$ + $ 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]] | 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^4.41/y - t^4.41*y | detail | |
| 3550 | $M_1q_1q_2$ + $ 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_7q_2\tilde{q}_1$ | 0.6636 | 0.8287 | 0.8008 | [X:[], M:[0.8306, 1.0565, 1.1694, 0.7176, 1.0565, 1.0765, 0.8106], q:[0.4053, 0.7641], qb:[0.4253, 0.5182], phi:[0.4718]] | t^2.15 + t^2.43 + t^2.49 + 2*t^3.17 + t^3.23 + t^3.51 + t^3.85 + t^3.91 + t^3.97 + t^4.19 + t^4.25 + t^4.31 + t^4.52 + t^4.58 + t^4.64 + t^4.86 + t^4.92 + t^4.98 + 2*t^5.32 + t^5.38 + 2*t^5.6 + 3*t^5.66 - t^6. - t^4.42/y - t^4.42*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1931 | 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$ | 0.6552 | 0.8131 | 0.8058 | [X:[], M:[0.838, 1.054, 1.162, 0.73, 1.054], q:[0.3985, 0.7635], qb:[0.4395, 0.5065], phi:[0.473]] | t^2.19 + t^2.51 + t^2.71 + 2*t^3.16 + t^3.49 + t^3.61 + t^3.81 + t^3.93 + t^4.06 + t^4.13 + t^4.26 + t^4.38 + t^4.46 + t^4.7 + t^4.9 + t^5.03 + t^5.23 + 2*t^5.35 + t^5.43 + 2*t^5.68 + t^5.88 - t^6. - t^4.42/y - t^4.42*y | detail |