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 |
|---|---|---|---|---|---|---|---|---|---|
| 2952 | 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$ | 0.6692 | 0.8404 | 0.7963 | [X:[], M:[0.8152, 1.0616, 1.1848, 0.6921, 0.8152, 1.0381], q:[0.4194, 0.7654], qb:[0.3959, 0.5425], phi:[0.4692]] | [X:[], M:[[-12], [4], [12], [-20], [-12], [-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_5$, $ \phi_1^2$, $ M_6$, $ M_2$, $ q_2\tilde{q}_1$, $ \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$, $ M_4M_5$, $ \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_4M_6$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_1M_6$, $ M_5M_6$, $ M_4q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1^2$, $ M_4\phi_1q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_1$ | $M_4\phi_1q_1^2$ | -1 | t^2.08 + 2*t^2.45 + t^2.82 + t^3.11 + t^3.18 + t^3.48 + t^3.78 + t^3.85 + t^3.92 + t^4.15 + t^4.22 + t^4.29 + 2*t^4.52 + t^4.66 + 4*t^4.89 + t^5.19 + 3*t^5.26 + 2*t^5.56 + 2*t^5.63 + t^5.86 + 3*t^5.93 - t^6. - t^6.07 + 4*t^6.23 + 4*t^6.3 + t^6.37 - t^6.44 + 4*t^6.6 + 2*t^6.67 + 2*t^6.74 + t^6.9 + 5*t^6.97 + t^7.11 + 2*t^7.27 + 7*t^7.34 - t^7.41 + t^7.57 + 3*t^7.64 + 6*t^7.71 - t^7.85 + t^7.94 + 5*t^8.01 + 2*t^8.08 - t^8.15 + 4*t^8.3 + 6*t^8.38 - 2*t^8.45 - 3*t^8.52 + t^8.59 + 8*t^8.67 + 6*t^8.74 - 2*t^8.82 - 2*t^8.89 + t^8.96 + t^8.97 - t^4.41/y - t^6.48/y - t^6.85/y + t^7.29/y + t^7.52/y + (2*t^7.89)/y + t^7.96/y + t^8.19/y + (3*t^8.26)/y + t^8.33/y + (2*t^8.56)/y + (2*t^8.63)/y + t^8.86/y + (3*t^8.93)/y - t^4.41*y - t^6.48*y - t^6.85*y + t^7.29*y + t^7.52*y + 2*t^7.89*y + t^7.96*y + t^8.19*y + 3*t^8.26*y + t^8.33*y + 2*t^8.56*y + 2*t^8.63*y + t^8.86*y + 3*t^8.93*y | t^2.08/g1^20 + (2*t^2.45)/g1^12 + t^2.82/g1^4 + t^3.11/g1^30 + g1^4*t^3.18 + t^3.48/g1^22 + t^3.78/g1^48 + t^3.85/g1^14 + g1^20*t^3.92 + t^4.15/g1^40 + t^4.22/g1^6 + g1^28*t^4.29 + (2*t^4.52)/g1^32 + g1^36*t^4.66 + (4*t^4.89)/g1^24 + t^5.19/g1^50 + (3*t^5.26)/g1^16 + (2*t^5.56)/g1^42 + (2*t^5.63)/g1^8 + t^5.86/g1^68 + (3*t^5.93)/g1^34 - t^6. - g1^34*t^6.07 + (4*t^6.23)/g1^60 + (4*t^6.3)/g1^26 + g1^8*t^6.37 - g1^42*t^6.44 + (4*t^6.6)/g1^52 + (2*t^6.67)/g1^18 + 2*g1^16*t^6.74 + t^6.9/g1^78 + (5*t^6.97)/g1^44 + g1^24*t^7.11 + (2*t^7.27)/g1^70 + (7*t^7.34)/g1^36 - t^7.41/g1^2 + t^7.57/g1^96 + (3*t^7.64)/g1^62 + (6*t^7.71)/g1^28 - g1^40*t^7.85 + t^7.94/g1^88 + (5*t^8.01)/g1^54 + (2*t^8.08)/g1^20 - g1^14*t^8.15 + (4*t^8.3)/g1^80 + (6*t^8.38)/g1^46 - (2*t^8.45)/g1^12 - 3*g1^22*t^8.52 + g1^56*t^8.59 + (8*t^8.67)/g1^72 + (6*t^8.74)/g1^38 - (2*t^8.82)/g1^4 - 2*g1^30*t^8.89 + g1^64*t^8.96 + t^8.97/g1^98 - t^4.41/(g1^2*y) - t^6.48/(g1^22*y) - t^6.85/(g1^14*y) + (g1^28*t^7.29)/y + t^7.52/(g1^32*y) + (2*t^7.89)/(g1^24*y) + (g1^10*t^7.96)/y + t^8.19/(g1^50*y) + (3*t^8.26)/(g1^16*y) + (g1^18*t^8.33)/y + (2*t^8.56)/(g1^42*y) + (2*t^8.63)/(g1^8*y) + t^8.86/(g1^68*y) + (3*t^8.93)/(g1^34*y) - (t^4.41*y)/g1^2 - (t^6.48*y)/g1^22 - (t^6.85*y)/g1^14 + g1^28*t^7.29*y + (t^7.52*y)/g1^32 + (2*t^7.89*y)/g1^24 + g1^10*t^7.96*y + (t^8.19*y)/g1^50 + (3*t^8.26*y)/g1^16 + g1^18*t^8.33*y + (2*t^8.56*y)/g1^42 + (2*t^8.63*y)/g1^8 + (t^8.86*y)/g1^68 + (3*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 3534 | $M_1q_1q_2$ + $ 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_2M_7$ | 0.6749 | 0.8505 | 0.7935 | [X:[], M:[0.8132, 1.0623, 1.1868, 0.6886, 0.8132, 1.0329, 0.9377], q:[0.4213, 0.7656], qb:[0.3919, 0.5458], phi:[0.4689]] | t^2.07 + 2*t^2.44 + 2*t^2.81 + t^3.1 + t^3.47 + t^3.76 + t^3.85 + t^3.93 + t^4.13 + t^4.22 + t^4.31 + 2*t^4.51 + t^4.68 + 5*t^4.88 + t^5.16 + 4*t^5.25 + 2*t^5.54 + 2*t^5.63 + t^5.82 + 4*t^5.91 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
| 3536 | $M_1q_1q_2$ + $ 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 | |
| 3537 | $M_1q_1q_2$ + $ 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_1^2$ | 0.6899 | 0.8808 | 0.7832 | [X:[], M:[0.8138, 1.0621, 1.1862, 0.6897, 0.8138, 1.0345, 0.6897], q:[0.4207, 0.7655], qb:[0.3931, 0.5448], phi:[0.469]] | 2*t^2.07 + 2*t^2.44 + t^2.81 + t^3.1 + t^3.19 + t^3.48 + t^3.77 + t^3.85 + 3*t^4.14 + t^4.22 + t^4.3 + 4*t^4.51 + t^4.68 + 5*t^4.88 + 2*t^5.17 + 4*t^5.26 + 3*t^5.54 + 2*t^5.63 + 2*t^5.83 + 4*t^5.92 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
| 3535 | $M_1q_1q_2$ + $ 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_1\tilde{q}_1^2$ | 0.6892 | 0.8767 | 0.7861 | [X:[], M:[0.8219, 1.0594, 1.1781, 0.7032, 0.8219, 1.0548, 0.7123], q:[0.4132, 0.7648], qb:[0.4087, 0.5319], phi:[0.4703]] | t^2.11 + t^2.14 + 2*t^2.47 + t^2.82 + t^3.16 + t^3.18 + t^3.52 + t^3.88 + t^3.89 + t^4.22 + t^4.23 + 2*t^4.25 + t^4.27 + 2*t^4.58 + 3*t^4.6 + 4*t^4.93 + t^4.96 + t^5.27 + 3*t^5.29 + t^5.3 + t^5.31 + 2*t^5.63 + 2*t^5.64 + t^5.66 + 3*t^5.99 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1918 | 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$ | 0.6746 | 0.8467 | 0.7967 | [X:[], M:[0.831, 1.0563, 1.169, 0.7183, 0.831], q:[0.4049, 0.7641], qb:[0.426, 0.5176], phi:[0.4718]] | t^2.15 + 2*t^2.49 + t^2.77 + t^2.83 + t^3.17 + t^3.57 + t^3.85 + t^3.91 + t^3.97 + t^4.18 + t^4.25 + t^4.31 + t^4.52 + 2*t^4.65 + t^4.92 + 4*t^4.99 + 2*t^5.26 + 3*t^5.32 + t^5.54 + t^5.6 + 2*t^5.66 - t^6. - t^4.42/y - t^4.42*y | detail |