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 |
---|---|---|---|---|---|---|---|---|---|
54920 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_1M_6$ + $ M_2M_3$ + $ M_5X_1$ | 0.6635 | 0.8258 | 0.8035 | [X:[1.3333], M:[1.1317, 1.1317, 0.8683, 0.7285, 0.6667, 0.8683], q:[0.3643, 0.504], qb:[0.504, 0.7675], phi:[0.4651]] | [X:[[0]], M:[[-2], [-2], [2], [-6], [0], [2]], q:[[-3], [5]], qb:[[5], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_3$, $ M_6$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_2$, $ \phi_1q_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ X_1$, $ M_4^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_3q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_4\phi_1q_1^2$, $ \phi_1^2q_2\tilde{q}_1$ | $M_2M_6$, $ M_4\tilde{q}_1\tilde{q}_2$ | -2 | t^2.19 + 2*t^2.6 + t^2.79 + t^3.02 + t^3.4 + t^3.58 + t^3.81 + 2*t^4. + t^4.37 + 3*t^4.42 + 2*t^4.79 + t^4.98 + 4*t^5.21 + 2*t^5.4 + 2*t^5.63 + t^5.77 + t^5.81 - 2*t^6. + t^6.05 + 4*t^6.19 + t^6.37 + t^6.56 + 6*t^6.6 + t^6.84 + t^6.98 + 6*t^7.02 + 2*t^7.16 + t^7.21 + t^7.4 + 3*t^7.44 + 4*t^7.58 - 2*t^7.63 + 5*t^7.81 + t^7.95 + 6*t^8. - 4*t^8.19 + 5*t^8.23 + 3*t^8.37 + 4*t^8.42 + t^8.56 - 8*t^8.6 + 2*t^8.65 + t^8.74 + 4*t^8.79 + 6*t^8.84 + 3*t^8.98 - t^4.4/y - t^6.58/y - t^7.19/y + t^7.6/y + (2*t^7.79)/y + t^7.98/y + (3*t^8.21)/y + (2*t^8.4)/y + t^8.58/y + (2*t^8.63)/y + t^8.81/y - t^4.4*y - t^6.58*y - t^7.19*y + t^7.6*y + 2*t^7.79*y + t^7.98*y + 3*t^8.21*y + 2*t^8.4*y + t^8.58*y + 2*t^8.63*y + t^8.81*y | t^2.19/g1^6 + 2*g1^2*t^2.6 + t^2.79/g1^4 + g1^10*t^3.02 + t^3.4/g1^2 + t^3.58/g1^8 + g1^6*t^3.81 + 2*t^4. + t^4.37/g1^12 + 3*g1^8*t^4.42 + (2*t^4.79)/g1^4 + t^4.98/g1^10 + 4*g1^4*t^5.21 + (2*t^5.4)/g1^2 + 2*g1^12*t^5.63 + t^5.77/g1^14 + g1^6*t^5.81 - 2*t^6. + g1^20*t^6.05 + (4*t^6.19)/g1^6 + t^6.37/g1^12 + t^6.56/g1^18 + 6*g1^2*t^6.6 + g1^16*t^6.84 + t^6.98/g1^10 + 6*g1^10*t^7.02 + (2*t^7.16)/g1^16 + g1^4*t^7.21 + t^7.4/g1^2 + 3*g1^18*t^7.44 + (4*t^7.58)/g1^8 - 2*g1^12*t^7.63 + 5*g1^6*t^7.81 + t^7.95/g1^20 + 6*t^8. - (4*t^8.19)/g1^6 + 5*g1^14*t^8.23 + (3*t^8.37)/g1^12 + 4*g1^8*t^8.42 + t^8.56/g1^18 - 8*g1^2*t^8.6 + 2*g1^22*t^8.65 + t^8.74/g1^24 + (4*t^8.79)/g1^4 + 6*g1^16*t^8.84 + (3*t^8.98)/g1^10 - t^4.4/(g1^2*y) - t^6.58/(g1^8*y) - t^7.19/(g1^6*y) + (g1^2*t^7.6)/y + (2*t^7.79)/(g1^4*y) + t^7.98/(g1^10*y) + (3*g1^4*t^8.21)/y + (2*t^8.4)/(g1^2*y) + t^8.58/(g1^8*y) + (2*g1^12*t^8.63)/y + (g1^6*t^8.81)/y - (t^4.4*y)/g1^2 - (t^6.58*y)/g1^8 - (t^7.19*y)/g1^6 + g1^2*t^7.6*y + (2*t^7.79*y)/g1^4 + (t^7.98*y)/g1^10 + 3*g1^4*t^8.21*y + (2*t^8.4*y)/g1^2 + (t^8.58*y)/g1^8 + 2*g1^12*t^8.63*y + g1^6*t^8.81*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 |
---|---|---|---|---|---|---|---|---|
56646 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_1M_6$ + $ M_2M_3$ + $ M_5X_1$ + $ M_3M_7$ | 0.6519 | 0.8058 | 0.809 | [X:[1.3333], M:[1.1293, 1.1293, 0.8707, 0.7212, 0.6667, 0.8707, 1.1293], q:[0.3606, 0.5101], qb:[0.5101, 0.7687], phi:[0.4626]] | t^2.16 + t^2.61 + t^2.78 + t^3.06 + 2*t^3.39 + t^3.55 + t^3.84 + 2*t^4. + t^4.33 + 3*t^4.45 + t^4.78 + t^4.94 + 2*t^5.22 + t^5.39 + t^5.55 + t^5.67 + t^5.72 + t^5.84 - 2*t^6. - t^4.39/y - t^4.39*y | detail | |
56648 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_1M_6$ + $ M_2M_3$ + $ M_5X_1$ + $ M_7\phi_1q_1^2$ | 0.6805 | 0.8573 | 0.7937 | [X:[1.3333], M:[1.1382, 1.1382, 0.8618, 0.7479, 0.6667, 0.8618, 0.7806], q:[0.3739, 0.4879], qb:[0.4879, 0.7642], phi:[0.4715]] | t^2.24 + t^2.34 + 2*t^2.59 + t^2.83 + t^2.93 + t^3.41 + t^3.76 + 2*t^4. + 3*t^4.34 + t^4.49 + t^4.59 + t^4.68 + 2*t^4.83 + 2*t^4.93 + t^5.07 + 5*t^5.17 + t^5.27 + 2*t^5.41 + 2*t^5.51 + 2*t^5.76 + t^5.85 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
56647 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_1M_6$ + $ M_2M_3$ + $ M_5X_1$ + $ M_7q_2\tilde{q}_1$ | 0.6675 | 0.8329 | 0.8015 | [X:[1.3333], M:[1.1181, 1.1181, 0.8819, 0.6875, 0.6667, 0.8819, 0.9236], q:[0.3438, 0.5382], qb:[0.5382, 0.7743], phi:[0.4514]] | t^2.06 + 2*t^2.65 + t^2.71 + t^2.77 + t^3.35 + t^3.42 + t^3.94 + 2*t^4. + t^4.13 + 3*t^4.58 + 2*t^4.71 + t^4.77 + t^4.83 + 3*t^5.29 + 2*t^5.35 + 2*t^5.42 + 2*t^5.48 + t^5.54 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
56649 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_1M_6$ + $ M_2M_3$ + $ M_5X_1$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.6835 | 0.8629 | 0.7921 | [X:[1.3333], M:[1.1292, 1.1292, 0.8708, 0.7208, 0.6667, 0.8708, 0.7208], q:[0.3604, 0.5104], qb:[0.5104, 0.7687], phi:[0.4625]] | 2*t^2.16 + 2*t^2.61 + t^2.78 + t^3.06 + t^3.39 + t^3.55 + 2*t^4. + 3*t^4.33 + 3*t^4.45 + 4*t^4.78 + 2*t^4.94 + 5*t^5.22 + 2*t^5.39 + t^5.55 + 2*t^5.67 + 2*t^5.71 + t^5.84 - 3*t^6. - t^4.39/y - t^4.39*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
48292 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_1M_6$ | 0.6955 | 0.8765 | 0.7936 | [X:[], M:[1.1646, 1.013, 0.8354, 0.7766, 0.7172, 0.8354], q:[0.3883, 0.4471], qb:[0.5987, 0.7763], phi:[0.4474]] | t^2.15 + t^2.33 + 2*t^2.51 + t^2.68 + t^3.04 + t^3.14 + t^3.67 + t^4.02 + t^4.13 + 2*t^4.3 + 2*t^4.48 + 3*t^4.66 + 3*t^4.84 + t^4.93 + 4*t^5.01 + 3*t^5.19 + t^5.29 + t^5.37 + t^5.47 + t^5.55 + 2*t^5.64 + t^5.72 + t^5.82 - 2*t^6. - t^4.34/y - t^4.34*y | detail |