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 |
|---|---|---|---|---|---|---|---|---|---|
| 4204 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_3M_6$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1q_2$ | 0.6828 | 0.8626 | 0.7915 | [X:[], M:[1.1573, 1.088, 0.9466, 0.8427, 0.7013, 1.0534, 0.7359, 0.8773], q:[0.772, 0.3506], qb:[0.4921, 0.5613], phi:[0.456]] | [X:[], M:[[8], [-4], [10], [-8], [6], [-10], [12], [-2]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_7$, $ M_4$, $ M_8$, $ \phi_1^2$, $ M_6$, $ M_2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ M_5M_7$, $ \phi_1\tilde{q}_1^2$, $ M_7^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_4M_7$, $ M_5M_8$, $ \phi_1\tilde{q}_2^2$, $ M_7M_8$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_4^2$, $ M_4M_8$, $ M_5M_6$, $ M_8^2$, $ M_4\phi_1^2$, $ M_2M_5$, $ M_6M_7$, $ M_8\phi_1^2$, $ M_2M_7$, $ \phi_1^4$, $ M_1M_7$, $ M_4M_6$, $ M_2M_4$, $ M_6M_8$, $ M_2M_8$, $ M_6\phi_1^2$ | . | -1 | t^2.1 + t^2.21 + t^2.53 + t^2.63 + t^2.74 + t^3.16 + t^3.26 + t^3.47 + t^4. + t^4.1 + t^4.21 + t^4.31 + t^4.32 + t^4.42 + t^4.53 + t^4.63 + 3*t^4.74 + 2*t^4.84 + t^4.94 + t^5.06 + t^5.16 + 3*t^5.26 + 2*t^5.37 + 2*t^5.47 + t^5.68 + t^5.69 + t^5.79 + 2*t^5.9 - t^6. + t^6.1 + 2*t^6.21 + 2*t^6.31 + t^6.32 + 2*t^6.42 + t^6.52 + t^6.53 + t^6.62 + t^6.63 + 2*t^6.74 + 3*t^6.84 + t^6.85 + 4*t^6.94 + t^6.95 + 2*t^7.05 + t^7.06 + t^7.15 + t^7.16 + 3*t^7.26 + 3*t^7.37 + 5*t^7.47 + t^7.48 + 4*t^7.58 + 2*t^7.68 + t^7.69 + 2*t^7.79 + t^7.89 + 2*t^7.9 + 3*t^8. + t^8.21 + t^8.22 + t^8.31 + t^8.32 + 5*t^8.42 + 2*t^8.52 + t^8.53 + t^8.62 - t^8.63 + t^8.64 + t^8.73 + t^8.83 + t^8.84 + 2*t^8.85 + 4*t^8.94 + t^8.95 - t^4.37/y - t^6.47/y - t^6.58/y - t^7./y + t^7.31/y + t^7.63/y + (3*t^7.74)/y + (2*t^7.84)/y + t^7.94/y + (2*t^8.16)/y + (3*t^8.26)/y + (3*t^8.37)/y + t^8.47/y + t^8.69/y - t^8.78/y + (2*t^8.79)/y + (2*t^8.9)/y - t^4.37*y - t^6.47*y - t^6.58*y - t^7.*y + t^7.31*y + t^7.63*y + 3*t^7.74*y + 2*t^7.84*y + t^7.94*y + 2*t^8.16*y + 3*t^8.26*y + 3*t^8.37*y + t^8.47*y + t^8.69*y - t^8.78*y + 2*t^8.79*y + 2*t^8.9*y | g1^6*t^2.1 + g1^12*t^2.21 + t^2.53/g1^8 + t^2.63/g1^2 + g1^4*t^2.74 + t^3.16/g1^10 + t^3.26/g1^4 + g1^8*t^3.47 + t^4. + g1^6*t^4.1 + g1^12*t^4.21 + g1^18*t^4.31 + t^4.32/g1^20 + g1^24*t^4.42 + t^4.53/g1^8 + t^4.63/g1^2 + 3*g1^4*t^4.74 + 2*g1^10*t^4.84 + g1^16*t^4.94 + t^5.06/g1^16 + t^5.16/g1^10 + (3*t^5.26)/g1^4 + 2*g1^2*t^5.37 + 2*g1^8*t^5.47 + g1^20*t^5.68 + t^5.69/g1^18 + t^5.79/g1^12 + (2*t^5.9)/g1^6 - t^6. + g1^6*t^6.1 + 2*g1^12*t^6.21 + 2*g1^18*t^6.31 + t^6.32/g1^20 + t^6.42/g1^14 + g1^24*t^6.42 + g1^30*t^6.52 + t^6.53/g1^8 + g1^36*t^6.62 + t^6.63/g1^2 + 2*g1^4*t^6.74 + 3*g1^10*t^6.84 + t^6.85/g1^28 + 4*g1^16*t^6.94 + t^6.95/g1^22 + 2*g1^22*t^7.05 + t^7.06/g1^16 + g1^28*t^7.15 + t^7.16/g1^10 + (3*t^7.26)/g1^4 + 3*g1^2*t^7.37 + 5*g1^8*t^7.47 + t^7.48/g1^30 + t^7.58/g1^24 + 3*g1^14*t^7.58 + 2*g1^20*t^7.68 + t^7.69/g1^18 + (2*t^7.79)/g1^12 + g1^32*t^7.89 + (2*t^7.9)/g1^6 + 3*t^8. + g1^12*t^8.21 + t^8.22/g1^26 + g1^18*t^8.31 + t^8.32/g1^20 + (2*t^8.42)/g1^14 + 3*g1^24*t^8.42 + 2*g1^30*t^8.52 + t^8.53/g1^8 + g1^36*t^8.62 - t^8.63/g1^2 + t^8.64/g1^40 + g1^42*t^8.73 + g1^48*t^8.83 + g1^10*t^8.84 + (2*t^8.85)/g1^28 + 4*g1^16*t^8.94 + t^8.95/g1^22 - (g1^2*t^4.37)/y - (g1^8*t^6.47)/y - (g1^14*t^6.58)/y - t^7./y + (g1^18*t^7.31)/y + t^7.63/(g1^2*y) + (3*g1^4*t^7.74)/y + (2*g1^10*t^7.84)/y + (g1^16*t^7.94)/y + (2*t^8.16)/(g1^10*y) + (3*t^8.26)/(g1^4*y) + (3*g1^2*t^8.37)/y + (g1^8*t^8.47)/y + t^8.69/(g1^18*y) - (g1^26*t^8.78)/y + (2*t^8.79)/(g1^12*y) + (2*t^8.9)/(g1^6*y) - g1^2*t^4.37*y - g1^8*t^6.47*y - g1^14*t^6.58*y - t^7.*y + g1^18*t^7.31*y + (t^7.63*y)/g1^2 + 3*g1^4*t^7.74*y + 2*g1^10*t^7.84*y + g1^16*t^7.94*y + (2*t^8.16*y)/g1^10 + (3*t^8.26*y)/g1^4 + 3*g1^2*t^8.37*y + g1^8*t^8.47*y + (t^8.69*y)/g1^18 - g1^26*t^8.78*y + (2*t^8.79*y)/g1^12 + (2*t^8.9*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5701 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_3M_6$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1q_2$ + $ M_2M_9$ | 0.691 | 0.8768 | 0.7882 | [X:[], M:[1.1486, 1.0924, 0.9358, 0.8514, 0.6948, 1.0642, 0.7229, 0.8795, 0.9076], q:[0.7731, 0.3474], qb:[0.504, 0.5602], phi:[0.4538]] | t^2.08 + t^2.17 + t^2.55 + t^2.64 + 2*t^2.72 + t^3.19 + t^3.45 + t^4. + t^4.08 + t^4.17 + t^4.25 + t^4.34 + t^4.39 + t^4.55 + t^4.64 + 3*t^4.72 + 3*t^4.81 + 2*t^4.89 + t^5.11 + t^5.19 + 4*t^5.28 + 2*t^5.36 + 3*t^5.45 + t^5.61 + t^5.75 + 2*t^5.92 - 2*t^6. - t^4.36/y - t^4.36*y | detail | |
| 5700 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_3M_6$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1q_2$ + $ M_9\phi_1^2$ | 0.6749 | 0.8494 | 0.7946 | [X:[], M:[1.166, 1.0837, 0.9575, 0.834, 0.7078, 1.0425, 0.749, 0.8752, 1.0837], q:[0.7709, 0.3539], qb:[0.4801, 0.5624], phi:[0.4582]] | t^2.12 + t^2.25 + t^2.5 + t^2.63 + t^3.13 + 2*t^3.25 + t^3.5 + t^4. + t^4.12 + 2*t^4.25 + t^4.37 + t^4.49 + t^4.5 + t^4.63 + 3*t^4.75 + t^4.87 + t^5. + t^5.13 + 2*t^5.25 + 2*t^5.37 + 2*t^5.5 + t^5.63 + 3*t^5.75 + 2*t^5.88 - 2*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2206 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_3M_6$ + $ M_7q_1\tilde{q}_1$ | 0.6718 | 0.8441 | 0.7959 | [X:[], M:[1.1532, 1.0901, 0.9415, 0.8468, 0.6982, 1.0585, 0.7298], q:[0.7725, 0.3491], qb:[0.4977, 0.5608], phi:[0.455]] | t^2.09 + t^2.19 + t^2.54 + t^2.73 + t^3.18 + t^3.27 + t^3.36 + t^3.46 + t^4. + t^4.09 + t^4.19 + t^4.28 + t^4.35 + t^4.38 + t^4.54 + t^4.64 + 2*t^4.73 + t^4.82 + t^4.92 + t^5.08 + 2*t^5.27 + t^5.36 + 3*t^5.46 + t^5.55 + t^5.65 + t^5.72 + 2*t^5.91 - t^6. - t^4.36/y - t^4.36*y | detail |