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 |
---|---|---|---|---|---|---|---|---|---|
45986 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.669 | 0.8353 | 0.8009 | [X:[], M:[0.6994, 0.6891, 0.6994], q:[0.4806, 0.82], qb:[0.8303, 0.4703], phi:[0.3497]] | [X:[], M:[[-2, -2], [-5, -1], [-2, -2]], q:[[3, 1], [-1, 1]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_1$, $ M_3$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_2^2$, $ M_1M_2$, $ M_2M_3$, $ M_2\phi_1^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_2q_2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_2^2$, $ \phi_1q_2^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_3\phi_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^2$ | $M_3\phi_1q_1\tilde{q}_2$, $ \phi_1^3q_1\tilde{q}_2$ | -1 | t^2.07 + 3*t^2.1 + t^2.85 + 2*t^3.87 + t^3.9 + t^3.93 + t^4.13 + 3*t^4.17 + 6*t^4.2 + t^4.92 + 4*t^4.95 + t^5.71 + 2*t^5.94 + 5*t^5.97 - t^6. + t^6.03 + t^6.2 + 3*t^6.23 + 6*t^6.26 + 10*t^6.29 + 2*t^6.72 + t^6.75 + t^6.79 + t^6.99 + 2*t^7.02 + 5*t^7.05 - 2*t^7.08 + 3*t^7.74 + t^7.77 + 2*t^7.8 - t^7.83 + t^7.87 + 2*t^8.01 + 5*t^8.04 + 5*t^8.07 - 7*t^8.1 + t^8.27 + 3*t^8.3 + 6*t^8.33 + 10*t^8.36 + 15*t^8.39 + t^8.56 + 2*t^8.79 + 5*t^8.82 - 4*t^8.85 - t^4.05/y - t^6.12/y - (3*t^6.15)/y + (3*t^7.17)/y + (3*t^7.2)/y + t^7.92/y + (6*t^7.95)/y + t^7.98/y - t^8.18/y - (3*t^8.21)/y - (6*t^8.25)/y + (2*t^8.94)/y + (7*t^8.97)/y - t^4.05*y - t^6.12*y - 3*t^6.15*y + 3*t^7.17*y + 3*t^7.2*y + t^7.92*y + 6*t^7.95*y + t^7.98*y - t^8.18*y - 3*t^8.21*y - 6*t^8.25*y + 2*t^8.94*y + 7*t^8.97*y | t^2.07/(g1^5*g2) + (3*t^2.1)/(g1^2*g2^2) + g1^3*g2^3*t^2.85 + (2*g2^3*t^3.87)/g1 + g1^2*g2^2*t^3.9 + g1^5*g2*t^3.93 + t^4.13/(g1^10*g2^2) + (3*t^4.17)/(g1^7*g2^3) + (6*t^4.2)/(g1^4*g2^4) + (g2^2*t^4.92)/g1^2 + 4*g1*g2*t^4.95 + g1^6*g2^6*t^5.71 + (2*g2^2*t^5.94)/g1^6 + (5*g2*t^5.97)/g1^3 - t^6. + (g1^3*t^6.03)/g2 + t^6.2/(g1^15*g2^3) + (3*t^6.23)/(g1^12*g2^4) + (6*t^6.26)/(g1^9*g2^5) + (10*t^6.29)/(g1^6*g2^6) + 2*g1^2*g2^6*t^6.72 + g1^5*g2^5*t^6.75 + g1^8*g2^4*t^6.79 + (g2*t^6.99)/g1^7 + (2*t^7.02)/g1^4 + (5*t^7.05)/(g1*g2) - (2*g1^2*t^7.08)/g2^2 + (3*g2^6*t^7.74)/g1^2 + g1*g2^5*t^7.77 + 2*g1^4*g2^4*t^7.8 - g1^7*g2^3*t^7.83 + g1^10*g2^2*t^7.87 + (2*g2*t^8.01)/g1^11 + (5*t^8.04)/g1^8 + (5*t^8.07)/(g1^5*g2) - (7*t^8.1)/(g1^2*g2^2) + t^8.27/(g1^20*g2^4) + (3*t^8.3)/(g1^17*g2^5) + (6*t^8.33)/(g1^14*g2^6) + (10*t^8.36)/(g1^11*g2^7) + (15*t^8.39)/(g1^8*g2^8) + g1^9*g2^9*t^8.56 + (2*g2^5*t^8.79)/g1^3 + 5*g2^4*t^8.82 - 4*g1^3*g2^3*t^8.85 - t^4.05/(g1*g2*y) - t^6.12/(g1^6*g2^2*y) - (3*t^6.15)/(g1^3*g2^3*y) + (3*t^7.17)/(g1^7*g2^3*y) + (3*t^7.2)/(g1^4*g2^4*y) + (g2^2*t^7.92)/(g1^2*y) + (6*g1*g2*t^7.95)/y + (g1^4*t^7.98)/y - t^8.18/(g1^11*g2^3*y) - (3*t^8.21)/(g1^8*g2^4*y) - (6*t^8.25)/(g1^5*g2^5*y) + (2*g2^2*t^8.94)/(g1^6*y) + (7*g2*t^8.97)/(g1^3*y) - (t^4.05*y)/(g1*g2) - (t^6.12*y)/(g1^6*g2^2) - (3*t^6.15*y)/(g1^3*g2^3) + (3*t^7.17*y)/(g1^7*g2^3) + (3*t^7.2*y)/(g1^4*g2^4) + (g2^2*t^7.92*y)/g1^2 + 6*g1*g2*t^7.95*y + g1^4*t^7.98*y - (t^8.18*y)/(g1^11*g2^3) - (3*t^8.21*y)/(g1^8*g2^4) - (6*t^8.25*y)/(g1^5*g2^5) + (2*g2^2*t^8.94*y)/g1^6 + (7*g2*t^8.97*y)/g1^3 |
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 |
---|---|---|---|---|---|---|---|---|
46291 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2^2$ | 0.6052 | 0.7542 | 0.8024 | [X:[], M:[0.7685, 1.0, 0.7685], q:[0.3079, 0.9236], qb:[0.6921, 0.5393], phi:[0.3843]] | 3*t^2.31 + t^2.54 + 2*t^3. + t^3.69 + 2*t^4.39 + 6*t^4.61 + 4*t^4.85 + t^5.08 + 4*t^5.31 + 2*t^5.54 + t^6. - t^4.15/y - t^4.15*y | detail | |
46336 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1q_1\tilde{q}_2$ | 0.6895 | 0.8749 | 0.7881 | [X:[], M:[0.6958, 0.6865, 0.6958, 0.6958], q:[0.4828, 0.8214], qb:[0.8307, 0.4736], phi:[0.3479]] | t^2.06 + 4*t^2.09 + t^2.87 + 2*t^3.89 + t^3.94 + t^4.12 + 4*t^4.15 + 10*t^4.17 + t^4.93 + 5*t^4.96 + t^5.74 + 2*t^5.94 + 6*t^5.97 - 4*t^6. - t^4.04/y - t^4.04*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 |
---|---|---|---|---|---|---|---|---|---|
45893 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | 0.6485 | 0.7962 | 0.8145 | [X:[], M:[0.7041, 0.6924], q:[0.4778, 0.8181], qb:[0.8298, 0.4661], phi:[0.352]] | t^2.08 + 2*t^2.11 + t^2.83 + 2*t^3.85 + 2*t^3.89 + t^3.92 + t^4.15 + 2*t^4.19 + 3*t^4.22 + t^4.91 + 3*t^4.94 + t^5.66 + 2*t^5.93 + 4*t^5.96 - t^4.06/y - t^4.06*y | detail |