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 |
---|---|---|---|---|---|---|---|---|---|
45842 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ | 0.644 | 0.812 | 0.7931 | [X:[], M:[0.8115], q:[0.75, 0.4385], qb:[0.4058, 0.4058], phi:[0.5]] | [X:[], M:[[1, 1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $q_1q_2\tilde{q}_1^2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | -1 | 2*t^2.43 + 2*t^2.53 + t^3. + 2*t^3.47 + 3*t^3.93 + 2*t^4.03 + t^4.13 + 3*t^4.87 + 4*t^4.97 + 3*t^5.07 + 2*t^5.43 + 2*t^5.53 + 2*t^5.9 - t^6. - 2*t^6.1 + 6*t^6.37 + 8*t^6.47 + 4*t^6.57 + 2*t^6.66 + 2*t^6.93 - 2*t^7.03 + 4*t^7.3 + 8*t^7.4 + 2*t^7.5 + 2*t^7.6 + 8*t^7.87 + 6*t^7.97 + 5*t^8.07 + 2*t^8.16 + t^8.26 + 2*t^8.34 - 6*t^8.43 - 8*t^8.53 - 4*t^8.63 + 9*t^8.8 + 12*t^8.9 - t^4.5/y - t^6.93/y + t^7.87/y + (4*t^7.97)/y + (2*t^8.07)/y + (2*t^8.43)/y + (2*t^8.53)/y + (4*t^8.9)/y - t^4.5*y - t^6.93*y + t^7.87*y + 4*t^7.97*y + 2*t^8.07*y + 2*t^8.43*y + 2*t^8.53*y + 4*t^8.9*y | 2*g1*g2*t^2.43 + t^2.53/g1 + t^2.53/g2 + t^3. + g1*t^3.47 + g2*t^3.47 + g1^2*t^3.93 + g1*g2*t^3.93 + g2^2*t^3.93 + t^4.03/g1 + t^4.03/g2 + t^4.13/(g1^2*g2^2) + 3*g1^2*g2^2*t^4.87 + 2*g1*t^4.97 + 2*g2*t^4.97 + t^5.07/g1^2 + t^5.07/g2^2 + t^5.07/(g1*g2) + 2*g1*g2*t^5.43 + t^5.53/g1 + t^5.53/g2 + g1^2*g2*t^5.9 + g1*g2^2*t^5.9 - t^6. - t^6.1/(g1*g2^2) - t^6.1/(g1^2*g2) + 2*g1^3*g2*t^6.37 + 2*g1^2*g2^2*t^6.37 + 2*g1*g2^3*t^6.37 + 3*g1*t^6.47 + (g1^2*t^6.47)/g2 + 3*g2*t^6.47 + (g2^2*t^6.47)/g1 + t^6.57/g1^2 + t^6.57/g2^2 + (2*t^6.57)/(g1*g2) + t^6.66/(g1^2*g2^3) + t^6.66/(g1^3*g2^2) + g1^2*t^6.93 + g2^2*t^6.93 - t^7.03/g1 - t^7.03/g2 + 4*g1^3*g2^3*t^7.3 + g1^3*t^7.4 + 3*g1^2*g2*t^7.4 + 3*g1*g2^2*t^7.4 + g2^3*t^7.4 + (g1*t^7.5)/g2 + (g2*t^7.5)/g1 + t^7.6/g1^3 + t^7.6/g2^3 + g1^4*t^7.87 + g1^3*g2*t^7.87 + 4*g1^2*g2^2*t^7.87 + g1*g2^3*t^7.87 + g2^4*t^7.87 + 2*g1*t^7.97 + (g1^2*t^7.97)/g2 + 2*g2*t^7.97 + (g2^2*t^7.97)/g1 + (2*t^8.07)/g1^2 + (2*t^8.07)/g2^2 + t^8.07/(g1*g2) + t^8.16/(g1^2*g2^3) + t^8.16/(g1^3*g2^2) + t^8.26/(g1^4*g2^4) + g1^3*g2^2*t^8.34 + g1^2*g2^3*t^8.34 - g1^2*t^8.43 - 4*g1*g2*t^8.43 - g2^2*t^8.43 - (4*t^8.53)/g1 - (4*t^8.53)/g2 - t^8.63/(g1*g2^3) - (2*t^8.63)/(g1^2*g2^2) - t^8.63/(g1^3*g2) + 3*g1^4*g2^2*t^8.8 + 3*g1^3*g2^3*t^8.8 + 3*g1^2*g2^4*t^8.8 + 2*g1^3*t^8.9 + 4*g1^2*g2*t^8.9 + 4*g1*g2^2*t^8.9 + 2*g2^3*t^8.9 - t^4.5/y - (g1*g2*t^6.93)/y + (g1^2*g2^2*t^7.87)/y + (2*g1*t^7.97)/y + (2*g2*t^7.97)/y + (2*t^8.07)/(g1*g2*y) + (2*g1*g2*t^8.43)/y + t^8.53/(g1*y) + t^8.53/(g2*y) + (2*g1^2*g2*t^8.9)/y + (2*g1*g2^2*t^8.9)/y - t^4.5*y - g1*g2*t^6.93*y + g1^2*g2^2*t^7.87*y + 2*g1*t^7.97*y + 2*g2*t^7.97*y + (2*t^8.07*y)/(g1*g2) + 2*g1*g2*t^8.43*y + (t^8.53*y)/g1 + (t^8.53*y)/g2 + 2*g1^2*g2*t^8.9*y + 2*g1*g2^2*t^8.9*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 |
---|---|---|---|---|---|---|---|---|
45903 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6647 | 0.8522 | 0.78 | [X:[], M:[0.8147, 0.6853], q:[0.75, 0.4353], qb:[0.4073, 0.4073], phi:[0.5]] | t^2.06 + 2*t^2.44 + 2*t^2.53 + t^3. + 2*t^3.47 + 2*t^3.94 + 2*t^4.03 + 2*t^4.11 + 2*t^4.5 + 2*t^4.58 + 3*t^4.89 + 4*t^4.97 + 4*t^5.06 + 2*t^5.44 + 4*t^5.53 + 2*t^5.92 + t^6. - t^4.5/y - t^4.5*y | detail | |
45913 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ | 0.6648 | 0.8527 | 0.7796 | [X:[], M:[0.8137, 0.6793], q:[0.75, 0.4363], qb:[0.4103, 0.4034], phi:[0.5]] | t^2.04 + 2*t^2.44 + t^2.52 + t^2.54 + t^3. + t^3.46 + t^3.48 + t^3.92 + t^3.94 + t^4.02 + t^4.04 + t^4.08 + t^4.12 + 2*t^4.48 + t^4.56 + t^4.58 + 3*t^4.88 + 2*t^4.96 + 2*t^4.98 + 2*t^5.04 + t^5.06 + t^5.08 + 2*t^5.44 + t^5.5 + 2*t^5.52 + t^5.54 + t^5.9 + t^5.92 + t^5.96 + t^5.98 - t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
45825 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ | 0.694 | 0.8411 | 0.8251 | [X:[], M:[0.6741], q:[0.7973, 0.5287], qb:[0.5261, 0.5261], phi:[0.4055]] | t^2.02 + t^2.43 + 3*t^3.16 + 2*t^3.97 + t^4.04 + 3*t^4.37 + 2*t^4.38 + t^4.39 + t^4.46 + t^4.87 + t^5.18 + 2*t^5.19 + t^5.59 + 2*t^5.6 - 5*t^6. - t^4.22/y - t^4.22*y | detail |