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 |
|---|---|---|---|---|---|---|---|---|---|
| 4396 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6706 | 0.8334 | 0.8047 | [X:[], M:[0.7925, 1.0943, 1.0188, 0.8302, 0.9812, 1.1698, 1.0188, 0.7547], q:[0.7736, 0.4339], qb:[0.3962, 0.5849], phi:[0.4528]] | [X:[], M:[[30], [-4], [-22], [-14], [22], [14], [-22], [-32]], q:[[-1], [-29]], qb:[[15], [7]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_1$, $ M_4$, $ M_3$, $ M_7$, $ M_2$, $ M_6$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_8^2$, $ M_1M_8$, $ M_4M_8$, $ M_1^2$, $ M_1M_4$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ \phi_1q_1q_2$, $ M_3M_8$, $ M_7M_8$, $ M_1M_3$, $ M_1M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_4$, $ M_4M_7$, $ M_2M_8$, $ M_1M_2$, $ M_2M_4$, $ M_6M_8$ | . | -2 | t^2.26 + t^2.38 + t^2.49 + 2*t^3.06 + t^3.28 + t^3.51 + t^3.85 + t^3.96 + t^4.08 + t^4.3 + t^4.42 + t^4.53 + t^4.64 + 2*t^4.75 + 2*t^4.87 + t^4.98 + 2*t^5.32 + t^5.43 + 2*t^5.55 + t^5.66 + 2*t^5.77 - 2*t^6. + 3*t^6.11 + t^6.23 + 4*t^6.34 + t^6.45 + 2*t^6.57 + 2*t^6.68 + t^6.79 + 2*t^6.91 + 3*t^7.02 + 4*t^7.13 + 2*t^7.25 + 2*t^7.36 + 2*t^7.47 + 3*t^7.58 + t^7.7 + 3*t^7.81 + 3*t^7.92 + 4*t^8.04 + t^8.15 - t^8.26 + 2*t^8.38 + 4*t^8.6 + 2*t^8.72 + 5*t^8.83 + 2*t^8.94 - t^4.36/y - t^6.62/y - t^6.74/y + t^7.3/y - t^7.42/y + t^7.64/y + t^7.75/y + t^7.87/y + t^7.98/y + t^8.09/y + (2*t^8.32)/y + (2*t^8.43)/y + (3*t^8.55)/y + t^8.66/y + (2*t^8.77)/y - t^4.36*y - t^6.62*y - t^6.74*y + t^7.3*y - t^7.42*y + t^7.64*y + t^7.75*y + t^7.87*y + t^7.98*y + t^8.09*y + 2*t^8.32*y + 2*t^8.43*y + 3*t^8.55*y + t^8.66*y + 2*t^8.77*y | t^2.26/g1^32 + g1^30*t^2.38 + t^2.49/g1^14 + (2*t^3.06)/g1^22 + t^3.28/g1^4 + g1^14*t^3.51 + t^3.85/g1^12 + t^3.96/g1^56 + g1^6*t^4.08 + g1^24*t^4.3 + t^4.42/g1^20 + t^4.53/g1^64 + t^4.64/g1^2 + t^4.75/g1^46 + g1^60*t^4.75 + 2*g1^16*t^4.87 + t^4.98/g1^28 + (2*t^5.32)/g1^54 + g1^8*t^5.43 + (2*t^5.55)/g1^36 + g1^26*t^5.66 + (2*t^5.77)/g1^18 - 2*t^6. + (3*t^6.11)/g1^44 + t^6.23/g1^88 + (4*t^6.34)/g1^26 + t^6.45/g1^70 + (2*t^6.57)/g1^8 + t^6.68/g1^52 + g1^54*t^6.68 + t^6.79/g1^96 + (2*t^6.91)/g1^34 + (3*t^7.02)/g1^78 + (3*t^7.13)/g1^16 + g1^90*t^7.13 + t^7.25/g1^60 + g1^46*t^7.25 + 2*g1^2*t^7.36 + (2*t^7.47)/g1^42 + (2*t^7.58)/g1^86 + g1^20*t^7.58 + t^7.7/g1^24 + (3*t^7.81)/g1^68 + t^7.92/g1^112 + (2*t^7.92)/g1^6 + (3*t^8.04)/g1^50 + g1^56*t^8.04 + g1^12*t^8.15 - t^8.26/g1^32 + (4*t^8.38)/g1^76 - 2*g1^30*t^8.38 + t^8.49/g1^120 - t^8.49/g1^14 + (4*t^8.6)/g1^58 + t^8.72/g1^102 + g1^4*t^8.72 + (5*t^8.83)/g1^40 + (2*t^8.94)/g1^84 - (g1^2*t^4.36)/y - t^6.62/(g1^30*y) - (g1^32*t^6.74)/y + (g1^24*t^7.3)/y - t^7.42/(g1^20*y) + t^7.64/(g1^2*y) + t^7.75/(g1^46*y) + (g1^16*t^7.87)/y + t^7.98/(g1^28*y) + (g1^34*t^8.09)/y + (2*t^8.32)/(g1^54*y) + (2*g1^8*t^8.43)/y + (3*t^8.55)/(g1^36*y) + (g1^26*t^8.66)/y + (2*t^8.77)/(g1^18*y) - t^8.89/(g1^62*y) + (g1^44*t^8.89)/y - g1^2*t^4.36*y - (t^6.62*y)/g1^30 - g1^32*t^6.74*y + g1^24*t^7.3*y - (t^7.42*y)/g1^20 + (t^7.64*y)/g1^2 + (t^7.75*y)/g1^46 + g1^16*t^7.87*y + (t^7.98*y)/g1^28 + g1^34*t^8.09*y + (2*t^8.32*y)/g1^54 + 2*g1^8*t^8.43*y + (3*t^8.55*y)/g1^36 + g1^26*t^8.66*y + (2*t^8.77*y)/g1^18 - (t^8.89*y)/g1^62 + g1^44*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 5887 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_9\phi_1q_2\tilde{q}_1$ | 0.6908 | 0.871 | 0.7931 | [X:[], M:[0.7893, 1.0948, 1.0212, 0.8317, 0.9788, 1.1683, 1.0212, 0.7581, 0.7157], q:[0.7737, 0.437], qb:[0.3946, 0.5842], phi:[0.4526]] | t^2.15 + t^2.27 + t^2.37 + t^2.5 + 2*t^3.06 + t^3.28 + t^3.5 + t^3.98 + t^4.07 + 2*t^4.29 + 2*t^4.42 + t^4.51 + t^4.55 + 2*t^4.64 + t^4.74 + t^4.77 + 2*t^4.86 + t^4.99 + 2*t^5.21 + 2*t^5.34 + 2*t^5.43 + 2*t^5.56 + 2*t^5.65 + 2*t^5.78 - 2*t^6. - t^4.36/y - t^4.36*y | detail | |
| 5888 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_9\phi_1q_2^2$ | 0.6914 | 0.8743 | 0.7908 | [X:[], M:[0.7899, 1.0947, 1.0207, 0.8314, 0.9793, 1.1686, 1.0207, 0.7574, 0.6745], q:[0.7737, 0.4364], qb:[0.395, 0.5843], phi:[0.4527]] | t^2.02 + t^2.27 + t^2.37 + t^2.49 + 2*t^3.06 + t^3.28 + t^3.51 + t^3.85 + t^4.05 + t^4.07 + 2*t^4.3 + t^4.39 + t^4.42 + t^4.52 + t^4.54 + t^4.64 + t^4.74 + t^4.77 + 2*t^4.86 + t^4.99 + 2*t^5.09 + t^5.31 + 2*t^5.33 + t^5.43 + t^5.53 + 2*t^5.56 + t^5.65 + 2*t^5.78 + t^5.88 - 2*t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2381 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ | 0.6522 | 0.7994 | 0.8159 | [X:[], M:[0.7755, 1.0966, 1.0313, 0.8381, 0.9687, 1.1619, 1.0313], q:[0.7741, 0.4503], qb:[0.3878, 0.581], phi:[0.4517]] | t^2.33 + t^2.51 + 2*t^3.09 + t^3.29 + t^3.49 + t^3.68 + t^3.87 + t^4.06 + t^4.07 + t^4.26 + t^4.45 + t^4.65 + 2*t^4.84 + t^5.03 + t^5.42 + t^5.61 + t^5.62 + t^5.8 - 2*t^6. - t^4.36/y - t^4.36*y | detail |