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 |
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5808 | 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_6^2$ + $ M_3M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ + $ M_10M_4$ | 0.7465 | 0.934 | 0.7992 | [X:[], M:[0.8367, 1.0817, 1.0, 1.0, 0.8367, 1.0, 0.8367, 1.0, 0.7042, 1.0], q:[0.5817, 0.5817], qb:[0.4183, 0.5817], phi:[0.4592]] | [X:[], M:[[6, 1], [-2, 0], [-2, -1], [2, 1], [2, -1], [0, 0], [4, 0], [2, 1], [-5, 0], [-2, -1]], q:[[-4, -1], [-2, 0]], qb:[[2, 0], [0, 1]], phi:[[1, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_9$, $ M_7$, $ M_5$, $ M_1$, $ M_10$, $ M_6$, $ M_8$, $ M_10$, $ M_8$, $ M_2$, $ M_9^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7M_9$, $ M_5M_9$, $ M_1M_9$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_5$, $ M_7^2$, $ M_5^2$, $ M_5M_7$, $ M_1M_7$, $ M_1^2$, $ M_6M_9$, $ M_10M_9$, $ M_8M_9$, $ M_2M_9$, $ M_1M_10$, $ M_6M_7$, $ M_5M_8$, $ M_10M_5$, $ M_5M_6$, $ M_10M_7$, $ M_1M_6$, $ M_7M_8$, $ M_1M_8$, $ M_2M_7$, $ M_2M_5$, $ M_1M_2$ | $M_10^2$, $ M_10M_6$, $ M_10M_8$, $ M_6M_8$, $ M_8^2$ | -4 | t^2.11 + 3*t^2.51 + 3*t^3. + t^3.24 + t^4.22 + 3*t^4.38 + 3*t^4.62 + 6*t^4.87 + 6*t^5.02 + 3*t^5.11 + t^5.36 + 6*t^5.51 + 3*t^5.76 - 4*t^6. + 3*t^6.24 + t^6.34 + 3*t^6.73 + 6*t^6.89 + 6*t^6.98 + 5*t^7.13 + 3*t^7.22 + 15*t^7.38 + t^7.47 + 10*t^7.53 + 6*t^7.62 + 9*t^7.87 + 9*t^8.02 - 4*t^8.11 + 6*t^8.27 + t^8.45 - 15*t^8.51 + 6*t^8.76 + 3*t^8.85 - t^4.38/y - t^6.49/y - (3*t^6.89)/y + (3*t^7.62)/y + (3*t^7.87)/y + (3*t^8.02)/y + (3*t^8.11)/y + t^8.27/y + t^8.36/y + (9*t^8.51)/y - t^8.6/y + (3*t^8.76)/y - t^4.38*y - t^6.49*y - 3*t^6.89*y + 3*t^7.62*y + 3*t^7.87*y + 3*t^8.02*y + 3*t^8.11*y + t^8.27*y + t^8.36*y + 9*t^8.51*y - t^8.6*y + 3*t^8.76*y | t^2.11/g1^5 + g1^4*t^2.51 + (g1^2*t^2.51)/g2 + g1^6*g2*t^2.51 + t^3. + t^3./(g1^2*g2) + g1^2*g2*t^3. + t^3.24/g1^2 + t^4.22/g1^10 + g1*t^4.38 + t^4.38/(g1*g2) + g1^3*g2*t^4.38 + t^4.62/g1 + t^4.62/(g1^3*g2) + g1*g2*t^4.62 + (2*t^4.87)/g1^3 + t^4.87/(g1^7*g2^2) + t^4.87/(g1^5*g2) + (g2*t^4.87)/g1 + g1*g2^2*t^4.87 + 2*g1^8*t^5.02 + (g1^4*t^5.02)/g2^2 + (g1^6*t^5.02)/g2 + g1^10*g2*t^5.02 + g1^12*g2^2*t^5.02 + t^5.11/g1^5 + t^5.11/(g1^7*g2) + (g2*t^5.11)/g1^3 + t^5.36/g1^7 + 2*g1^4*t^5.51 + t^5.51/g2^2 + (g1^2*t^5.51)/g2 + g1^6*g2*t^5.51 + g1^8*g2^2*t^5.51 + g1^2*t^5.76 + t^5.76/g2 + g1^4*g2*t^5.76 - 2*t^6. - t^6./(g1^2*g2) - g1^2*g2*t^6. + t^6.24/g1^2 + t^6.24/(g1^4*g2) + g2*t^6.24 + t^6.34/g1^15 + t^6.73/g1^6 + t^6.73/(g1^8*g2) + (g2*t^6.73)/g1^4 + 2*g1^5*t^6.89 + (g1*t^6.89)/g2^2 + (g1^3*t^6.89)/g2 + g1^7*g2*t^6.89 + g1^9*g2^2*t^6.89 + (2*t^6.98)/g1^8 + t^6.98/(g1^12*g2^2) + t^6.98/(g1^10*g2) + (g2*t^6.98)/g1^6 + (g2^2*t^6.98)/g1^4 + g1^3*t^7.13 + t^7.13/(g1*g2^2) + (g1*t^7.13)/g2 + g1^5*g2*t^7.13 + g1^7*g2^2*t^7.13 + t^7.22/g1^10 + t^7.22/(g1^12*g2) + (g2*t^7.22)/g1^8 + 3*g1*t^7.38 + t^7.38/(g1^5*g2^3) + (2*t^7.38)/(g1^3*g2^2) + (3*t^7.38)/(g1*g2) + 3*g1^3*g2*t^7.38 + 2*g1^5*g2^2*t^7.38 + g1^7*g2^3*t^7.38 + t^7.47/g1^12 + 2*g1^12*t^7.53 + (g1^6*t^7.53)/g2^3 + (g1^8*t^7.53)/g2^2 + (2*g1^10*t^7.53)/g2 + 2*g1^14*g2*t^7.53 + g1^16*g2^2*t^7.53 + g1^18*g2^3*t^7.53 + (2*t^7.62)/g1 + t^7.62/(g1^5*g2^2) + t^7.62/(g1^3*g2) + g1*g2*t^7.62 + g1^3*g2^2*t^7.62 + t^7.87/g1^3 + t^7.87/(g1^9*g2^3) + t^7.87/(g1^7*g2^2) + (2*t^7.87)/(g1^5*g2) + (2*g2*t^7.87)/g1 + g1*g2^2*t^7.87 + g1^3*g2^3*t^7.87 + g1^8*t^8.02 + (g1^2*t^8.02)/g2^3 + (g1^4*t^8.02)/g2^2 + (2*g1^6*t^8.02)/g2 + 2*g1^10*g2*t^8.02 + g1^12*g2^2*t^8.02 + g1^14*g2^3*t^8.02 - (2*t^8.11)/g1^5 - t^8.11/(g1^7*g2) - (g2*t^8.11)/g1^3 + 2*g1^6*t^8.27 + (g1^2*t^8.27)/g2^2 + (g1^4*t^8.27)/g2 + g1^8*g2*t^8.27 + g1^10*g2^2*t^8.27 + t^8.45/g1^20 - 5*g1^4*t^8.51 - t^8.51/g2^2 - (4*g1^2*t^8.51)/g2 - 4*g1^6*g2*t^8.51 - g1^8*g2^2*t^8.51 + 2*g1^2*t^8.76 + t^8.76/(g1^2*g2^2) + t^8.76/g2 + g1^4*g2*t^8.76 + g1^6*g2^2*t^8.76 + t^8.85/g1^11 + t^8.85/(g1^13*g2) + (g2*t^8.85)/g1^9 - (g1*t^4.38)/y - t^6.49/(g1^4*y) - (g1^5*t^6.89)/y - (g1^3*t^6.89)/(g2*y) - (g1^7*g2*t^6.89)/y + t^7.62/(g1*y) + t^7.62/(g1^3*g2*y) + (g1*g2*t^7.62)/y + t^7.87/(g1^3*y) + t^7.87/(g1^5*g2*y) + (g2*t^7.87)/(g1*y) + (g1^8*t^8.02)/y + (g1^6*t^8.02)/(g2*y) + (g1^10*g2*t^8.02)/y + t^8.11/(g1^5*y) + t^8.11/(g1^7*g2*y) + (g2*t^8.11)/(g1^3*y) + (g1^6*t^8.27)/y + t^8.36/(g1^7*y) + (3*g1^4*t^8.51)/y + t^8.51/(g2^2*y) + (2*g1^2*t^8.51)/(g2*y) + (2*g1^6*g2*t^8.51)/y + (g1^8*g2^2*t^8.51)/y - t^8.6/(g1^9*y) + (g1^2*t^8.76)/y + t^8.76/(g2*y) + (g1^4*g2*t^8.76)/y - g1*t^4.38*y - (t^6.49*y)/g1^4 - g1^5*t^6.89*y - (g1^3*t^6.89*y)/g2 - g1^7*g2*t^6.89*y + (t^7.62*y)/g1 + (t^7.62*y)/(g1^3*g2) + g1*g2*t^7.62*y + (t^7.87*y)/g1^3 + (t^7.87*y)/(g1^5*g2) + (g2*t^7.87*y)/g1 + g1^8*t^8.02*y + (g1^6*t^8.02*y)/g2 + g1^10*g2*t^8.02*y + (t^8.11*y)/g1^5 + (t^8.11*y)/(g1^7*g2) + (g2*t^8.11*y)/g1^3 + g1^6*t^8.27*y + (t^8.36*y)/g1^7 + 3*g1^4*t^8.51*y + (t^8.51*y)/g2^2 + (2*g1^2*t^8.51*y)/g2 + 2*g1^6*g2*t^8.51*y + g1^8*g2^2*t^8.51*y - (t^8.6*y)/g1^9 + g1^2*t^8.76*y + (t^8.76*y)/g2 + g1^4*g2*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4353 | 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_6^2$ + $ M_3M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.7478 | 0.937 | 0.7981 | [X:[], M:[0.8091, 1.0817, 1.0276, 0.9724, 0.8643, 1.0, 0.8367, 0.9724, 0.7042], q:[0.6093, 0.5817], qb:[0.4183, 0.5541], phi:[0.4592]] | t^2.11 + t^2.43 + t^2.51 + t^2.59 + 2*t^2.92 + t^3. + t^3.24 + t^4.22 + t^4.29 + t^4.38 + t^4.46 + t^4.54 + t^4.62 + t^4.7 + t^4.71 + t^4.78 + t^4.85 + 2*t^4.87 + t^4.94 + t^4.95 + 2*t^5.02 + 3*t^5.03 + t^5.1 + t^5.11 + t^5.19 + 2*t^5.34 + t^5.36 + 2*t^5.43 + 2*t^5.51 + t^5.67 + t^5.76 + 2*t^5.83 + t^5.84 - 3*t^6. - t^4.38/y - t^4.38*y | detail |