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 |
---|---|---|---|---|---|---|---|---|---|
878 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4M_5$ | 0.644 | 0.812 | 0.7931 | [X:[], M:[0.8115, 1.1885, 0.8115, 0.6885, 1.3115], q:[0.75, 0.4385], qb:[0.4058, 0.4058], phi:[0.5]] | [X:[], M:[[2], [-2], [2], [-2], [2]], q:[[0], [-2]], qb:[[1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_3$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_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*g1^2*t^2.43 + (2*t^2.53)/g1 + t^3. + 2*g1*t^3.47 + 3*g1^2*t^3.93 + (2*t^4.03)/g1 + t^4.13/g1^4 + 3*g1^4*t^4.87 + 4*g1*t^4.97 + (3*t^5.07)/g1^2 + 2*g1^2*t^5.43 + (2*t^5.53)/g1 + 2*g1^3*t^5.9 - t^6. - (2*t^6.1)/g1^3 + 6*g1^4*t^6.37 + 8*g1*t^6.47 + (4*t^6.57)/g1^2 + (2*t^6.66)/g1^5 + 2*g1^2*t^6.93 - (2*t^7.03)/g1 + 4*g1^6*t^7.3 + 8*g1^3*t^7.4 + 2*t^7.5 + (2*t^7.6)/g1^3 + 8*g1^4*t^7.87 + 6*g1*t^7.97 + (5*t^8.07)/g1^2 + (2*t^8.16)/g1^5 + t^8.26/g1^8 + 2*g1^5*t^8.34 - 6*g1^2*t^8.43 - (8*t^8.53)/g1 - (4*t^8.63)/g1^4 + 9*g1^6*t^8.8 + 12*g1^3*t^8.9 - t^4.5/y - (g1^2*t^6.93)/y + (g1^4*t^7.87)/y + (4*g1*t^7.97)/y + (2*t^8.07)/(g1^2*y) + (2*g1^2*t^8.43)/y + (2*t^8.53)/(g1*y) + (4*g1^3*t^8.9)/y - t^4.5*y - g1^2*t^6.93*y + g1^4*t^7.87*y + 4*g1*t^7.97*y + (2*t^8.07*y)/g1^2 + 2*g1^2*t^8.43*y + (2*t^8.53*y)/g1 + 4*g1^3*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 |
---|---|---|---|---|---|---|---|---|
2064 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_1$ | 0.6577 | 0.8352 | 0.7876 | [X:[], M:[0.8227, 1.1773, 0.8227, 0.6773, 1.3227, 0.8387], q:[0.75, 0.4273], qb:[0.4113, 0.4113], phi:[0.5]] | 2*t^2.47 + 3*t^2.52 + t^3. + t^3.48 + 3*t^3.97 + 2*t^4.02 + t^4.06 + 3*t^4.94 + 6*t^4.98 + 6*t^5.03 + 2*t^5.47 + 3*t^5.52 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
566 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6647 | 0.8522 | 0.78 | [X:[], M:[0.8147, 1.1853, 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 |