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 |
---|---|---|---|---|---|---|---|---|---|
1706 | SU2adj1nf2 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ M_2q_1\tilde{q}_2$ | 0.6953 | 0.8568 | 0.8115 | [X:[], M:[0.9708, 0.9451], q:[0.5566, 0.4726], qb:[0.4726, 0.4983], phi:[0.5]] | [X:[], M:[[1, 1], [2, 0]], q:[[-2, -1], [1, 0]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ q_2\tilde{q}_1$, $ M_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_2^2$, $ M_2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_1M_2$, $ M_2q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_1^2$, $ M_1\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_2\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | . | -3 | 2*t^2.84 + 3*t^2.91 + t^3. + t^3.09 + 3*t^4.34 + 2*t^4.41 + t^4.49 + 2*t^4.59 + t^4.66 + t^4.84 + 3*t^5.67 + 4*t^5.75 + 5*t^5.83 + 2*t^5.84 + 3*t^5.91 - 3*t^6. - 2*t^6.08 + t^6.09 - 2*t^6.25 + 6*t^7.17 + 9*t^7.25 + 6*t^7.33 + 3*t^7.4 + 3*t^7.42 + 2*t^7.67 + t^7.93 + 4*t^8.51 + 5*t^8.58 + 6*t^8.66 + 8*t^8.67 + 7*t^8.74 + 8*t^8.75 - t^8.76 + 8*t^8.83 - 12*t^8.84 + 2*t^8.9 - 13*t^8.91 + 4*t^8.92 + t^8.98 - 6*t^8.99 - t^4.5/y - t^7.34/y - t^7.41/y + t^7.59/y + t^7.66/y + t^8.67/y + (6*t^8.75)/y + (3*t^8.83)/y + (2*t^8.84)/y + (3*t^8.91)/y + (2*t^8.92)/y - t^4.5*y - t^7.34*y - t^7.41*y + t^7.59*y + t^7.66*y + t^8.67*y + 6*t^8.75*y + 3*t^8.83*y + 2*t^8.84*y + 3*t^8.91*y + 2*t^8.92*y | 2*g1^2*t^2.84 + 3*g1*g2*t^2.91 + t^3. + t^3.09/(g1*g2) + 3*g1^2*t^4.34 + 2*g1*g2*t^4.41 + g2^2*t^4.49 + (2*t^4.59)/(g1*g2) + t^4.66/g1^2 + t^4.84/(g1^4*g2^2) + 3*g1^4*t^5.67 + 4*g1^3*g2*t^5.75 + 5*g1^2*g2^2*t^5.83 + 2*g1^2*t^5.84 + 3*g1*g2*t^5.91 - 3*t^6. - (2*g2*t^6.08)/g1 + t^6.09/(g1*g2) - (2*t^6.25)/(g1^3*g2) + 6*g1^4*t^7.17 + 9*g1^3*g2*t^7.25 + 6*g1^2*g2^2*t^7.33 + 3*g1*g2^3*t^7.4 + (3*g1*t^7.42)/g2 + (2*t^7.67)/(g1^2*g2^2) + t^7.93/(g1^5*g2^3) + 4*g1^6*t^8.51 + 5*g1^5*g2*t^8.58 + 6*g1^4*g2^2*t^8.66 + 8*g1^4*t^8.67 + 7*g1^3*g2^3*t^8.74 + 8*g1^3*g2*t^8.75 - (g1^3*t^8.76)/g2 + 8*g1^2*g2^2*t^8.83 - 12*g1^2*t^8.84 + 2*g1*g2^3*t^8.9 - 13*g1*g2*t^8.91 + (4*g1*t^8.92)/g2 + g2^4*t^8.98 - 6*g2^2*t^8.99 - t^4.5/y - (g1^2*t^7.34)/y - (g1*g2*t^7.41)/y + t^7.59/(g1*g2*y) + t^7.66/(g1^2*y) + (g1^4*t^8.67)/y + (6*g1^3*g2*t^8.75)/y + (3*g1^2*g2^2*t^8.83)/y + (2*g1^2*t^8.84)/y + (3*g1*g2*t^8.91)/y + (2*g1*t^8.92)/(g2*y) - t^4.5*y - g1^2*t^7.34*y - g1*g2*t^7.41*y + (t^7.59*y)/(g1*g2) + (t^7.66*y)/g1^2 + g1^4*t^8.67*y + 6*g1^3*g2*t^8.75*y + 3*g1^2*g2^2*t^8.83*y + 2*g1^2*t^8.84*y + 3*g1*g2*t^8.91*y + (2*g1*t^8.92*y)/g2 |
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 |
---|---|---|---|---|---|---|---|---|
2706 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ M_2q_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ | 0.6994 | 0.8663 | 0.8073 | [X:[], M:[0.9428, 0.9428, 0.9428], q:[0.5858, 0.4714], qb:[0.4714, 0.4714], phi:[0.5]] | 6*t^2.83 + t^3. + 6*t^4.33 + 3*t^4.67 + t^5.01 + 18*t^5.66 + 6*t^5.83 - 10*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 |
---|---|---|---|---|---|---|---|---|---|
72 | SU2adj1nf2 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ | 0.6927 | 0.8507 | 0.8143 | [X:[], M:[0.9724], q:[0.528, 0.4996], qb:[0.4996, 0.4728], phi:[0.5]] | 3*t^2.92 + 3*t^3. + t^3.08 + t^4.34 + 2*t^4.42 + 4*t^4.5 + 2*t^4.58 + t^4.67 + 5*t^5.83 + t^5.91 + 4*t^5.92 + 2*t^6. - t^4.5/y - t^4.5*y | detail |