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 |
---|---|---|---|---|---|---|---|---|---|
57 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6279 | 0.7568 | 0.8297 | [X:[], M:[0.7082], q:[0.823, 0.823], qb:[0.4689, 0.4689], phi:[0.3541]] | [X:[], M:[[-4, -4]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ q_1q_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | $M_1q_1\tilde{q}_1$, $ M_1q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$, $ M_1q_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$ | 3 | 2*t^2.12 + t^2.81 + 6*t^3.88 + 3*t^4.25 + 3*t^4.94 + t^5.63 + 3*t^6. + 4*t^6.37 + 6*t^6.69 - 3*t^7.06 + 15*t^7.75 + t^8.12 + t^8.44 + 5*t^8.5 + t^8.81 - t^4.06/y - (2*t^6.19)/y + t^7.25/y + (4*t^7.94)/y - (3*t^8.31)/y - t^4.06*y - 2*t^6.19*y + t^7.25*y + 4*t^7.94*y - 3*t^8.31*y | (2*t^2.12)/(g1^4*g2^4) + g1^6*g2^6*t^2.81 + (g1^10*t^3.88)/g2^2 + 2*g1^7*g2*t^3.88 + 2*g1*g2^7*t^3.88 + (g2^10*t^3.88)/g1^2 + (3*t^4.25)/(g1^8*g2^8) + 3*g1^2*g2^2*t^4.94 + g1^12*g2^12*t^5.63 - 3*t^6. + (g1^6*t^6.)/g2^6 + (2*g1^3*t^6.)/g2^3 + (2*g2^3*t^6.)/g1^3 + (g2^6*t^6.)/g1^6 + (4*t^6.37)/(g1^12*g2^12) + g1^16*g2^4*t^6.69 + 2*g1^13*g2^7*t^6.69 + 2*g1^7*g2^13*t^6.69 + g1^4*g2^16*t^6.69 - (g1^4*t^7.06)/g2^8 - (2*g1*t^7.06)/g2^5 + (3*t^7.06)/(g1^2*g2^2) - (2*g2*t^7.06)/g1^5 - (g2^4*t^7.06)/g1^8 + (g1^20*t^7.75)/g2^4 + (2*g1^17*t^7.75)/g2 + 2*g1^14*g2^2*t^7.75 + 5*g1^8*g2^8*t^7.75 + 2*g1^2*g2^14*t^7.75 + (2*g2^17*t^7.75)/g1 + (g2^20*t^7.75)/g1^4 + (g1^2*t^8.12)/g2^10 + (2*t^8.12)/(g1*g2^7) - (5*t^8.12)/(g1^4*g2^4) + (2*t^8.12)/(g1^7*g2) + (g2^2*t^8.12)/g1^10 + g1^18*g2^18*t^8.44 + (5*t^8.5)/(g1^16*g2^16) + g1^12*t^8.81 + 2*g1^9*g2^3*t^8.81 - 5*g1^6*g2^6*t^8.81 + 2*g1^3*g2^9*t^8.81 + g2^12*t^8.81 - t^4.06/(g1^2*g2^2*y) - (2*t^6.19)/(g1^6*g2^6*y) + t^7.25/(g1^8*g2^8*y) + (4*g1^2*g2^2*t^7.94)/y - (3*t^8.31)/(g1^10*g2^10*y) - (t^4.06*y)/(g1^2*g2^2) - (2*t^6.19*y)/(g1^6*g2^6) + (t^7.25*y)/(g1^8*g2^8) + 4*g1^2*g2^2*t^7.94*y - (3*t^8.31*y)/(g1^10*g2^10) |
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 |
---|---|---|---|---|---|---|---|---|
85 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ | 0.6485 | 0.7964 | 0.8143 | [X:[], M:[0.7044, 0.6901], q:[0.8239, 0.8239], qb:[0.4788, 0.4646], phi:[0.3522]] | t^2.07 + 2*t^2.11 + t^2.83 + t^3.84 + 2*t^3.87 + 2*t^3.91 + t^4.14 + 2*t^4.18 + 3*t^4.23 + t^4.9 + 3*t^4.94 + t^5.66 + t^5.91 + 2*t^5.94 + t^5.96 + 4*t^5.98 - 3*t^6. - t^4.06/y - t^4.06*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 |
---|---|---|---|---|---|---|---|---|---|
43 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ | 0.6076 | 0.7195 | 0.8446 | [X:[], M:[], q:[0.8211, 0.8211], qb:[0.4632, 0.4632], phi:[0.3578]] | t^2.15 + t^2.78 + 7*t^3.85 + t^4.29 + 2*t^4.93 + t^5.56 - 2*t^6. - t^4.07/y - t^4.07*y | detail |