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 |
---|---|---|---|---|---|---|---|---|---|
46581 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3M_4$ | 0.7194 | 0.8833 | 0.8145 | [X:[], M:[0.8377, 0.8377, 1.0, 1.0, 1.0], q:[0.5812, 0.5812], qb:[0.5812, 0.4188], phi:[0.4594]] | [X:[], M:[[1, 6], [-1, 2], [-1, -2], [1, 2], [0, 0]], q:[[0, -2], [-1, -4]], qb:[[1, 0], [0, 2]], phi:[[0, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_1$, $ \phi_1^2$, $ M_3$, $ M_4$, $ M_5$, $ M_3$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ M_2\phi_1^2$, $ M_1\phi_1^2$, $ M_2M_3$, $ M_1M_3$, $ M_2M_4$, $ \phi_1^4$, $ M_1M_4$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_4\phi_1^2$ | $M_3^2$, $ M_4^2$, $ M_3M_5$, $ M_4M_5$, $ M_2q_2\tilde{q}_1$ | -2 | 2*t^2.51 + t^2.76 + 3*t^3. + t^3.49 + t^3.89 + 3*t^4.38 + 6*t^4.87 + 3*t^5.03 + 2*t^5.27 + 4*t^5.51 + 3*t^5.76 - 2*t^6. + t^6.24 + 2*t^6.4 - t^6.49 + t^6.65 + 6*t^6.89 + t^6.97 + 2*t^7.13 + 10*t^7.38 + 4*t^7.54 + 3*t^7.62 + 4*t^7.78 + 9*t^7.87 + 5*t^8.03 - 6*t^8.11 + 7*t^8.27 + 3*t^8.35 - 5*t^8.51 + 4*t^8.76 + 3*t^8.92 - t^4.38/y - (2*t^6.89)/y - t^7.13/y + t^7.62/y + (2*t^7.87)/y + t^8.03/y + (2*t^8.27)/y + (6*t^8.51)/y + (3*t^8.76)/y - t^4.38*y - 2*t^6.89*y - t^7.13*y + t^7.62*y + 2*t^7.87*y + t^8.03*y + 2*t^8.27*y + 6*t^8.51*y + 3*t^8.76*y | (g2^2*t^2.51)/g1 + g1*g2^6*t^2.51 + g2^2*t^2.76 + t^3. + t^3./(g1*g2^2) + g1*g2^2*t^3. + t^3.49/g2^4 + g2^5*t^3.89 + t^4.38/(g1*g2) + g2*t^4.38 + g1*g2^3*t^4.38 + t^4.87/(g1^2*g2^7) + t^4.87/(g1*g2^5) + (2*t^4.87)/g2^3 + (g1*t^4.87)/g2 + g1^2*g2*t^4.87 + (g2^4*t^5.03)/g1^2 + g2^8*t^5.03 + g1^2*g2^12*t^5.03 + (g2^4*t^5.27)/g1 + g1*g2^8*t^5.27 + t^5.51/g1^2 + 2*g2^4*t^5.51 + g1^2*g2^8*t^5.51 + t^5.76/g1 + g2^2*t^5.76 + g1*g2^4*t^5.76 - 2*t^6. + t^6.24/g2^2 + (g2^7*t^6.4)/g1 + g1*g2^11*t^6.4 - t^6.49/g2^4 + g2^7*t^6.65 + (g2*t^6.89)/g1^2 + (g2^3*t^6.89)/g1 + 2*g2^5*t^6.89 + g1*g2^7*t^6.89 + g1^2*g2^9*t^6.89 + t^6.97/g2^8 + (g2*t^7.13)/g1 + g1*g2^5*t^7.13 + t^7.38/(g1^3*g2^5) + t^7.38/(g1^2*g2^3) + (2*t^7.38)/(g1*g2) + 2*g2*t^7.38 + 2*g1*g2^3*t^7.38 + g1^2*g2^5*t^7.38 + g1^3*g2^7*t^7.38 + (g2^6*t^7.54)/g1^3 + (g2^10*t^7.54)/g1 + g1*g2^14*t^7.54 + g1^3*g2^18*t^7.54 + t^7.62/(g1^2*g2^5) + t^7.62/g2 + g1^2*g2^3*t^7.62 + (g2^6*t^7.78)/g1^2 + 2*g2^10*t^7.78 + g1^2*g2^14*t^7.78 + t^7.87/(g1^3*g2^9) + t^7.87/(g1^2*g2^7) + (2*t^7.87)/(g1*g2^5) + t^7.87/g2^3 + (2*g1*t^7.87)/g2 + g1^2*g2*t^7.87 + g1^3*g2^3*t^7.87 + (g2^2*t^8.03)/g1^3 + (2*g2^6*t^8.03)/g1 - g2^8*t^8.03 + 2*g1*g2^10*t^8.03 + g1^3*g2^14*t^8.03 - t^8.11/(g1^2*g2^9) - t^8.11/(g1*g2^7) - (2*t^8.11)/g2^5 - (g1*t^8.11)/g2^3 - (g1^2*t^8.11)/g2 + (g2^2*t^8.27)/g1^2 + (g2^4*t^8.27)/g1 + 3*g2^6*t^8.27 + g1*g2^8*t^8.27 + g1^2*g2^10*t^8.27 + t^8.35/(g1^2*g2^11) + t^8.35/g2^7 + (g1^2*t^8.35)/g2^3 - (2*g2^2*t^8.51)/g1 - g2^4*t^8.51 - 2*g1*g2^6*t^8.51 + t^8.76/g1 + t^8.76/(g1^2*g2^2) + g1*g2^4*t^8.76 + g1^2*g2^6*t^8.76 + (g2^9*t^8.92)/g1^2 + g2^13*t^8.92 + g1^2*g2^17*t^8.92 - (g2*t^4.38)/y - (g2^3*t^6.89)/(g1*y) - (g1*g2^7*t^6.89)/y - (g2^3*t^7.13)/y + t^7.62/(g2*y) + t^7.87/(g1*g2^5*y) + (g1*t^7.87)/(g2*y) + (g2^8*t^8.03)/y + (g2^4*t^8.27)/(g1*y) + (g1*g2^8*t^8.27)/y + t^8.51/(g1^2*y) + (g2^2*t^8.51)/(g1*y) + (2*g2^4*t^8.51)/y + (g1*g2^6*t^8.51)/y + (g1^2*g2^8*t^8.51)/y + t^8.76/(g1*y) + (g2^2*t^8.76)/y + (g1*g2^4*t^8.76)/y - g2*t^4.38*y - (g2^3*t^6.89*y)/g1 - g1*g2^7*t^6.89*y - g2^3*t^7.13*y + (t^7.62*y)/g2 + (t^7.87*y)/(g1*g2^5) + (g1*t^7.87*y)/g2 + g2^8*t^8.03*y + (g2^4*t^8.27*y)/g1 + g1*g2^8*t^8.27*y + (t^8.51*y)/g1^2 + (g2^2*t^8.51*y)/g1 + 2*g2^4*t^8.51*y + g1*g2^6*t^8.51*y + g1^2*g2^8*t^8.51*y + (t^8.76*y)/g1 + g2^2*t^8.76*y + g1*g2^4*t^8.76*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 |
---|---|---|---|---|---|---|---|---|
47289 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3M_4$ + $ M_2^2$ | 0.702 | 0.8612 | 0.8151 | [X:[], M:[0.874, 1.0, 1.063, 0.937, 1.0], q:[0.5315, 0.5945], qb:[0.4685, 0.4685], phi:[0.4843]] | t^2.62 + t^2.81 + t^2.91 + 2*t^3. + 2*t^3.19 + 3*t^4.26 + 2*t^4.45 + 3*t^4.64 + t^4.83 + t^5.02 + t^5.24 + t^5.43 + t^5.53 + t^5.62 + t^5.72 + 2*t^5.81 + 2*t^5.91 - t^6. - t^4.45/y - t^4.45*y | detail | |
47096 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3M_4$ + $ M_3\phi_1^2$ | 0.7114 | 0.8731 | 0.8147 | [X:[], M:[0.8238, 0.9413, 1.0587, 0.9413, 1.0], q:[0.5587, 0.6175], qb:[0.5, 0.4413], phi:[0.4706]] | t^2.47 + 3*t^2.82 + t^3. + t^3.18 + t^3.35 + t^4.06 + t^4.24 + 2*t^4.41 + 2*t^4.59 + 2*t^4.76 + 2*t^4.94 + t^5.12 + 3*t^5.3 + 5*t^5.65 + t^5.82 - t^4.41/y - t^4.41*y | detail | |
48147 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3M_4$ + $ M_4M_6$ | 0.7207 | 0.8863 | 0.8132 | [X:[], M:[0.8653, 0.8101, 0.9724, 1.0276, 1.0, 0.9724], q:[0.5812, 0.5536], qb:[0.6087, 0.4188], phi:[0.4594]] | t^2.43 + t^2.6 + t^2.76 + 2*t^2.92 + t^3. + t^3.49 + t^3.89 + t^4.3 + t^4.38 + t^4.46 + t^4.7 + t^4.78 + t^4.86 + 2*t^4.87 + t^4.95 + 2*t^5.03 + 2*t^5.19 + 3*t^5.35 + 2*t^5.51 + 2*t^5.67 + t^5.76 + 2*t^5.83 + t^5.92 - 3*t^6. - t^4.38/y - t^4.38*y | detail | |
48166 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3M_4$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.74 | 0.9227 | 0.802 | [X:[], M:[0.8456, 0.8456, 1.0, 1.0, 1.0, 0.693], q:[0.5772, 0.5772], qb:[0.5772, 0.4228], phi:[0.4614]] | t^2.08 + 2*t^2.54 + t^2.77 + 3*t^3. + t^3.46 + t^4.16 + 3*t^4.38 + 2*t^4.62 + 7*t^4.85 + 3*t^5.07 + 3*t^5.08 + 2*t^5.31 + 5*t^5.54 + 3*t^5.77 - 2*t^6. - t^4.38/y - t^4.38*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 |
---|---|---|---|---|---|---|---|---|---|
46324 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ | 0.7466 | 0.9183 | 0.813 | [X:[], M:[0.8355, 0.8355, 0.8355, 0.8355, 1.0], q:[0.5, 0.6645], qb:[0.6645, 0.5], phi:[0.4177]] | 5*t^2.51 + t^3. + t^3.99 + 3*t^4.25 + 4*t^4.75 + 15*t^5.01 + 3*t^5.24 + t^5.51 - 7*t^6. - t^4.25/y - t^4.25*y | detail |