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 |
---|---|---|---|---|---|---|---|---|---|
1396 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ M_6\phi_1q_2^2$ | 0.7291 | 0.9105 | 0.8008 | [X:[], M:[1.0, 0.9026, 0.8539, 1.0487, 1.0, 0.6704], q:[0.573, 0.427], qb:[0.573, 0.5243], phi:[0.4757]] | [X:[], M:[[0], [-4], [-6], [2], [0], [7]], q:[[3], [-3]], qb:[[3], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_3$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_5$, $ M_4$, $ q_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_6$, $ \phi_1\tilde{q}_2^2$, $ M_2M_6$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1^2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_1M_6$, $ M_5M_6$, $ M_3^2$, $ M_4M_6$, $ M_2M_3$, $ M_6q_1\tilde{q}_2$, $ M_2^2$, $ M_3\phi_1^2$, $ M_1M_3$, $ M_3M_5$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_2M_5$, $ \phi_1^4$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_3q_1\tilde{q}_2$ | $M_1M_5$ | -1 | t^2.01 + t^2.56 + t^2.71 + t^2.85 + 2*t^3. + t^3.15 + t^3.29 + t^4.02 + t^4.28 + 2*t^4.43 + 2*t^4.57 + 3*t^4.72 + 4*t^4.87 + 2*t^5.01 + t^5.12 + t^5.16 + t^5.27 + t^5.3 + 2*t^5.42 + t^5.56 + 3*t^5.71 + 2*t^5.85 - t^6. + t^6.03 + t^6.15 + 2*t^6.29 + t^6.44 + 3*t^6.58 + 3*t^6.73 + t^6.84 + 4*t^6.88 + t^6.99 + 2*t^7.02 + 3*t^7.13 + t^7.17 + 4*t^7.28 + t^7.31 + 6*t^7.43 + 5*t^7.57 + t^7.69 + 6*t^7.72 + t^7.83 + 5*t^7.87 + 2*t^7.98 + t^8.04 + 2*t^8.12 + 2*t^8.16 + 2*t^8.27 + 2*t^8.3 + 2*t^8.42 + t^8.45 - t^8.56 + 3*t^8.6 - 2*t^8.71 + 3*t^8.74 - t^8.85 + 4*t^8.89 - t^4.43/y - t^6.44/y - t^6.99/y - t^7.13/y + t^7.57/y + (2*t^7.72)/y + (2*t^7.87)/y + (2*t^8.01)/y + t^8.16/y + t^8.27/y + t^8.3/y + (2*t^8.42)/y - t^8.45/y + (3*t^8.56)/y + (3*t^8.71)/y + (4*t^8.85)/y - t^4.43*y - t^6.44*y - t^6.99*y - t^7.13*y + t^7.57*y + 2*t^7.72*y + 2*t^7.87*y + 2*t^8.01*y + t^8.16*y + t^8.27*y + t^8.3*y + 2*t^8.42*y - t^8.45*y + 3*t^8.56*y + 3*t^8.71*y + 4*t^8.85*y | g1^7*t^2.01 + t^2.56/g1^6 + t^2.71/g1^4 + t^2.85/g1^2 + 2*t^3. + g1^2*t^3.15 + g1^4*t^3.29 + g1^14*t^4.02 + t^4.28/g1^3 + (2*t^4.43)/g1 + 2*g1*t^4.57 + 3*g1^3*t^4.72 + 4*g1^5*t^4.87 + 2*g1^7*t^5.01 + t^5.12/g1^12 + g1^9*t^5.16 + t^5.27/g1^10 + g1^11*t^5.3 + (2*t^5.42)/g1^8 + t^5.56/g1^6 + (3*t^5.71)/g1^4 + (2*t^5.85)/g1^2 - t^6. + g1^21*t^6.03 + g1^2*t^6.15 + 2*g1^4*t^6.29 + g1^6*t^6.44 + 3*g1^8*t^6.58 + 3*g1^10*t^6.73 + t^6.84/g1^9 + 4*g1^12*t^6.88 + t^6.99/g1^7 + 2*g1^14*t^7.02 + (3*t^7.13)/g1^5 + g1^16*t^7.17 + (4*t^7.28)/g1^3 + g1^18*t^7.31 + (6*t^7.43)/g1 + 5*g1*t^7.57 + t^7.69/g1^18 + 6*g1^3*t^7.72 + t^7.83/g1^16 + 5*g1^5*t^7.87 + (2*t^7.98)/g1^14 + g1^28*t^8.04 + (2*t^8.12)/g1^12 + 2*g1^9*t^8.16 + (2*t^8.27)/g1^10 + 2*g1^11*t^8.3 + (2*t^8.42)/g1^8 + g1^13*t^8.45 - t^8.56/g1^6 + 3*g1^15*t^8.6 - (2*t^8.71)/g1^4 + 3*g1^17*t^8.74 - t^8.85/g1^2 + 4*g1^19*t^8.89 - t^4.43/(g1*y) - (g1^6*t^6.44)/y - t^6.99/(g1^7*y) - t^7.13/(g1^5*y) + (g1*t^7.57)/y + (2*g1^3*t^7.72)/y + (2*g1^5*t^7.87)/y + (2*g1^7*t^8.01)/y + (g1^9*t^8.16)/y + t^8.27/(g1^10*y) + (g1^11*t^8.3)/y + (2*t^8.42)/(g1^8*y) - (g1^13*t^8.45)/y + (3*t^8.56)/(g1^6*y) + (3*t^8.71)/(g1^4*y) + (4*t^8.85)/(g1^2*y) - (t^4.43*y)/g1 - g1^6*t^6.44*y - (t^6.99*y)/g1^7 - (t^7.13*y)/g1^5 + g1*t^7.57*y + 2*g1^3*t^7.72*y + 2*g1^5*t^7.87*y + 2*g1^7*t^8.01*y + g1^9*t^8.16*y + (t^8.27*y)/g1^10 + g1^11*t^8.3*y + (2*t^8.42*y)/g1^8 - g1^13*t^8.45*y + (3*t^8.56*y)/g1^6 + (3*t^8.71*y)/g1^4 + (4*t^8.85*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
2460 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_4M_7$ | 0.7338 | 0.918 | 0.7994 | [X:[], M:[1.0, 0.8941, 0.8412, 1.0529, 1.0, 0.6853, 0.9471], q:[0.5794, 0.4206], qb:[0.5794, 0.5265], phi:[0.4735]] | t^2.06 + t^2.52 + t^2.68 + 2*t^2.84 + 2*t^3. + t^3.32 + t^4.11 + t^4.26 + 2*t^4.42 + 2*t^4.58 + 3*t^4.74 + 5*t^4.9 + t^5.05 + 2*t^5.06 + t^5.21 + 3*t^5.36 + t^5.37 + 2*t^5.52 + 4*t^5.68 + 3*t^5.84 - 2*t^6. - t^4.42/y - t^4.42*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 |
---|---|---|---|---|---|---|---|---|---|
912 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_4\phi_1^2$ | 0.7083 | 0.8692 | 0.8149 | [X:[], M:[1.0, 0.9016, 0.8525, 1.0492, 1.0], q:[0.5738, 0.4262], qb:[0.5738, 0.5246], phi:[0.4754]] | t^2.56 + t^2.7 + t^2.85 + 2*t^3. + t^3.15 + t^3.3 + t^3.98 + t^4.28 + 2*t^4.43 + t^4.57 + 2*t^4.72 + 3*t^4.87 + t^5.11 + t^5.26 + 2*t^5.41 + t^5.56 + 3*t^5.7 + 2*t^5.85 - t^6. - t^4.43/y - t^4.43*y | detail |