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 |
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254 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6776 | 0.8842 | 0.7663 | [X:[], M:[1.153, 0.694, 0.6735, 0.6735], q:[0.75, 0.4235], qb:[0.4235, 0.403], phi:[0.5]] | [X:[], M:[[0, 1], [0, -2], [1, 0], [-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 |
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$M_3$, $ M_4$, $ M_2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ M_3^2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ \phi_1q_2^2$, $ M_3M_4$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_4$, $ M_2M_3$, $ M_2^2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_2\phi_1^2$, $ M_1M_4$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1M_3$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_3q_1\tilde{q}_1$, $ M_4q_1q_2$, $ M_1M_2$, $ M_3q_1q_2$, $ M_4q_1\tilde{q}_1$, $ M_2q_1\tilde{q}_2$, $ M_2q_1q_2$, $ M_2q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $q_1q_2^2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | -1 | 2*t^2.02 + t^2.08 + 2*t^2.48 + t^3. + 2*t^3.46 + 2*t^3.52 + 6*t^4.04 + 2*t^4.1 + t^4.16 + 4*t^4.5 + 2*t^4.56 + 3*t^4.96 + 2*t^5.02 + t^5.08 + 6*t^5.48 + 6*t^5.54 + 2*t^5.6 + 2*t^5.94 - t^6. + 8*t^6.06 + 6*t^6.12 + 2*t^6.18 + t^6.25 + 10*t^6.52 + 4*t^6.58 + 2*t^6.64 + 2*t^6.92 + 6*t^6.98 + 8*t^7.04 + 2*t^7.1 + t^7.16 + 8*t^7.5 + 14*t^7.56 + 6*t^7.62 + 2*t^7.68 + 3*t^7.96 - 4*t^8.02 + 14*t^8.08 + 8*t^8.14 + 6*t^8.21 + 2*t^8.27 + t^8.33 + 2*t^8.42 - 4*t^8.48 + 12*t^8.54 + 10*t^8.6 + 4*t^8.66 + 2*t^8.73 + 2*t^8.94 - t^4.5/y - (2*t^6.52)/y - t^6.58/y + (2*t^7.04)/y + (2*t^7.1)/y + (4*t^7.5)/y + (2*t^7.56)/y + (2*t^8.02)/y + t^8.08/y + t^8.42/y + (8*t^8.48)/y + (3*t^8.54)/y - t^8.66/y + (4*t^8.94)/y - t^4.5*y - 2*t^6.52*y - t^6.58*y + 2*t^7.04*y + 2*t^7.1*y + 4*t^7.5*y + 2*t^7.56*y + 2*t^8.02*y + t^8.08*y + t^8.42*y + 8*t^8.48*y + 3*t^8.54*y - t^8.66*y + 4*t^8.94*y | g1*t^2.02 + t^2.02/(g1*g2) + t^2.08/g2^2 + t^2.48/g1 + g1*g2*t^2.48 + t^3. + 2*g2*t^3.46 + g1*t^3.52 + t^3.52/(g1*g2) + 2*g1^2*t^4.04 + (2*t^4.04)/(g1^2*g2^2) + (2*t^4.04)/g2 + t^4.1/(g1*g2^3) + (g1*t^4.1)/g2^2 + t^4.16/g2^4 + 2*t^4.5 + t^4.5/(g1^2*g2) + g1^2*g2*t^4.5 + t^4.56/(g1*g2^2) + (g1*t^4.56)/g2 + t^4.96/g1^2 + g2*t^4.96 + g1^2*g2^2*t^4.96 + g1*t^5.02 + t^5.02/(g1*g2) + t^5.08/g2^2 + (3*t^5.48)/g1 + 3*g1*g2*t^5.48 + g1^2*t^5.54 + t^5.54/(g1^2*g2^2) + (4*t^5.54)/g2 + t^5.6/(g1*g2^3) + (g1*t^5.6)/g2^2 + (g2*t^5.94)/g1 + g1*g2^2*t^5.94 - t^6. + 2*g1^3*t^6.06 + (2*t^6.06)/(g1^3*g2^3) + (2*t^6.06)/(g1*g2^2) + (2*g1*t^6.06)/g2 + (2*t^6.12)/(g1^2*g2^4) + (2*t^6.12)/g2^3 + (2*g1^2*t^6.12)/g2^2 + t^6.18/(g1*g2^5) + (g1*t^6.18)/g2^4 + t^6.25/g2^6 + 3*g1*t^6.52 + (2*t^6.52)/(g1^3*g2^2) + (3*t^6.52)/(g1*g2) + 2*g1^3*g2*t^6.52 + t^6.58/(g1^2*g2^3) + (2*t^6.58)/g2^2 + (g1^2*t^6.58)/g2 + t^6.64/(g1*g2^4) + (g1*t^6.64)/g2^3 + 2*g2^2*t^6.92 + (2*t^6.98)/g1 + t^6.98/(g1^3*g2) + 2*g1*g2*t^6.98 + g1^3*g2^2*t^6.98 + 3*g1^2*t^7.04 + (3*t^7.04)/(g1^2*g2^2) + (2*t^7.04)/g2 + t^7.1/(g1*g2^3) + (g1*t^7.1)/g2^2 + t^7.16/g2^4 + t^7.44/g1^3 - (g2*t^7.44)/g1 - g1*g2^2*t^7.44 + g1^3*g2^3*t^7.44 + 2*t^7.5 + (3*t^7.5)/(g1^2*g2) + 3*g1^2*g2*t^7.5 + 2*g1^3*t^7.56 + (2*t^7.56)/(g1^3*g2^3) + (5*t^7.56)/(g1*g2^2) + (5*g1*t^7.56)/g2 + t^7.62/(g1^2*g2^4) + (4*t^7.62)/g2^3 + (g1^2*t^7.62)/g2^2 + t^7.68/(g1*g2^5) + (g1*t^7.68)/g2^4 + t^7.96/g1^2 + g2*t^7.96 + g1^2*g2^2*t^7.96 - 2*g1*t^8.02 - (2*t^8.02)/(g1*g2) + 3*g1^4*t^8.08 + (3*t^8.08)/(g1^4*g2^4) + (3*t^8.08)/(g1^2*g2^3) + (2*t^8.08)/g2^2 + (3*g1^2*t^8.08)/g2 + (2*t^8.14)/(g1^3*g2^5) + (2*t^8.14)/(g1*g2^4) + (2*g1*t^8.14)/g2^3 + (2*g1^3*t^8.14)/g2^2 + (2*t^8.21)/(g1^2*g2^6) + (2*t^8.21)/g2^5 + (2*g1^2*t^8.21)/g2^4 + t^8.27/(g1*g2^7) + (g1*t^8.27)/g2^6 + t^8.33/g2^8 + (g2*t^8.42)/g1^2 + g1^2*g2^3*t^8.42 - (2*t^8.48)/g1 - 2*g1*g2*t^8.48 + 3*g1^2*t^8.54 + (2*t^8.54)/(g1^4*g2^3) + (3*t^8.54)/(g1^2*g2^2) + (2*t^8.54)/g2 + 2*g1^4*g2*t^8.54 + (2*t^8.6)/(g1^3*g2^4) + (3*t^8.6)/(g1*g2^3) + (3*g1*t^8.6)/g2^2 + (2*g1^3*t^8.6)/g2 + t^8.66/(g1^2*g2^5) + (2*t^8.66)/g2^4 + (g1^2*t^8.66)/g2^3 + t^8.73/(g1*g2^6) + (g1*t^8.73)/g2^5 + (g2*t^8.94)/g1 + g1*g2^2*t^8.94 - t^4.5/y - (g1*t^6.52)/y - t^6.52/(g1*g2*y) - t^6.58/(g2^2*y) + (2*t^7.04)/(g2*y) + t^7.1/(g1*g2^3*y) + (g1*t^7.1)/(g2^2*y) + (2*t^7.5)/y + t^7.5/(g1^2*g2*y) + (g1^2*g2*t^7.5)/y + t^7.56/(g1*g2^2*y) + (g1*t^7.56)/(g2*y) + (g1*t^8.02)/y + t^8.02/(g1*g2*y) + t^8.08/(g2^2*y) + (g2^2*t^8.42)/y + (4*t^8.48)/(g1*y) + (4*g1*g2*t^8.48)/y + (3*t^8.54)/(g2*y) - t^8.66/(g2^4*y) + (2*g2*t^8.94)/(g1*y) + (2*g1*g2^2*t^8.94)/y - t^4.5*y - g1*t^6.52*y - (t^6.52*y)/(g1*g2) - (t^6.58*y)/g2^2 + (2*t^7.04*y)/g2 + (t^7.1*y)/(g1*g2^3) + (g1*t^7.1*y)/g2^2 + 2*t^7.5*y + (t^7.5*y)/(g1^2*g2) + g1^2*g2*t^7.5*y + (t^7.56*y)/(g1*g2^2) + (g1*t^7.56*y)/g2 + g1*t^8.02*y + (t^8.02*y)/(g1*g2) + (t^8.08*y)/g2^2 + g2^2*t^8.42*y + (4*t^8.48*y)/g1 + 4*g1*g2*t^8.48*y + (3*t^8.54*y)/g2 - (t^8.66*y)/g2^4 + (2*g2*t^8.94*y)/g1 + 2*g1*g2^2*t^8.94*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
160 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ | 0.6567 | 0.843 | 0.7791 | [X:[], M:[1.1525, 0.6949, 0.6728], q:[0.75, 0.4246], qb:[0.4228, 0.4025], phi:[0.5]] | t^2.02 + t^2.08 + 2*t^2.48 + t^3. + 2*t^3.46 + 2*t^3.52 + t^3.98 + 3*t^4.04 + t^4.05 + t^4.1 + t^4.17 + t^4.49 + t^4.5 + t^4.56 + t^4.57 + t^4.95 + 2*t^4.96 + t^5.02 + t^5.08 + 4*t^5.48 + 4*t^5.54 + t^5.6 + t^5.61 + t^5.93 + t^5.94 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail |