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 |
---|---|---|---|---|---|---|---|---|---|
45994 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.6218 | 0.7781 | 0.7992 | [X:[], M:[1.1561, 0.6878, 1.1561], q:[0.75, 0.4061], qb:[0.4061, 0.4378], phi:[0.5]] | [X:[], M:[[1, 0], [0, 1], [-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 |
---|---|---|---|---|
$M_2$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_1$, $ M_3$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_2\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_3$, $ M_2q_1q_2$, $ M_1M_2$, $ M_2q_1\tilde{q}_1$, $ M_2q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ q_1q_2^2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$ | $M_2\phi_1\tilde{q}_1^2$ | -2 | t^2.06 + t^2.44 + t^3. + 4*t^3.47 + t^3.56 + 2*t^3.94 + 2*t^4.03 + 2*t^4.13 + t^4.5 + t^4.87 + t^5.06 + t^5.44 + 4*t^5.53 + t^5.63 + 2*t^5.91 - 2*t^6. + 2*t^6.19 + 2*t^6.37 + 2*t^6.47 + t^6.56 + 9*t^6.94 + 2*t^7.03 + 2*t^7.13 + t^7.31 + 4*t^7.41 + 3*t^7.5 + 6*t^7.59 + 2*t^7.69 + 3*t^7.87 + 2*t^7.97 - t^8.06 + 2*t^8.16 + 3*t^8.25 + 2*t^8.34 - 2*t^8.44 + t^8.63 + 2*t^8.81 - t^4.5/y - t^6.56/y + (2*t^7.03)/y + t^7.5/y - (2*t^7.97)/y + t^8.06/y + (2*t^8.44)/y + (4*t^8.53)/y + (4*t^8.91)/y - t^4.5*y - t^6.56*y + 2*t^7.03*y + t^7.5*y - 2*t^7.97*y + t^8.06*y + 2*t^8.44*y + 4*t^8.53*y + 4*t^8.91*y | g2*t^2.06 + t^2.44/g2 + t^3. + 2*g1*t^3.47 + (2*t^3.47)/(g1*g2) + g2*t^3.56 + g1^2*t^3.94 + t^3.94/(g1^2*g2^2) + t^4.03/g1 + g1*g2*t^4.03 + 2*g2^2*t^4.13 + t^4.5 + t^4.87/g2^2 + g2*t^5.06 + t^5.44/g2 + (2*t^5.53)/g1 + 2*g1*g2*t^5.53 + g2^2*t^5.63 + t^5.91/(g1*g2^2) + (g1*t^5.91)/g2 - 2*t^6. + 2*g2^3*t^6.19 + t^6.37/(g1^2*g2^3) + (g1^2*t^6.37)/g2 + g1*t^6.47 + t^6.47/(g1*g2) + g2*t^6.56 + 3*g1^2*t^6.94 + (3*t^6.94)/(g1^2*g2^2) + (3*t^6.94)/g2 + t^7.03/g1 + g1*g2*t^7.03 + 2*g2^2*t^7.13 + t^7.31/g2^3 + 2*g1^3*t^7.41 + (2*t^7.41)/(g1^3*g2^3) + t^7.5 + t^7.5/(g1^2*g2) + g1^2*g2*t^7.5 + (3*g2*t^7.59)/g1 + 3*g1*g2^2*t^7.59 + 2*g2^3*t^7.69 + g1^4*t^7.87 + t^7.87/(g1^4*g2^4) + t^7.87/g2^2 + t^7.97/(g1^3*g2^2) + g1^3*g2*t^7.97 + t^8.06/g1^2 - 3*g2*t^8.06 + g1^2*g2^2*t^8.06 + (g2^2*t^8.16)/g1 + g1*g2^3*t^8.16 + 3*g2^4*t^8.25 + t^8.34/(g1*g2^3) + (g1*t^8.34)/g2^2 - (2*t^8.44)/g2 + g2^2*t^8.63 + t^8.81/(g1^2*g2^4) + (g1^2*t^8.81)/g2^2 - t^4.5/y - (g2*t^6.56)/y + t^7.03/(g1*y) + (g1*g2*t^7.03)/y + t^7.5/y - (g1*t^7.97)/y - t^7.97/(g1*g2*y) + (g2*t^8.06)/y + (2*t^8.44)/(g2*y) + (2*t^8.53)/(g1*y) + (2*g1*g2*t^8.53)/y + (2*t^8.91)/(g1*g2^2*y) + (2*g1*t^8.91)/(g2*y) - t^4.5*y - g2*t^6.56*y + (t^7.03*y)/g1 + g1*g2*t^7.03*y + t^7.5*y - g1*t^7.97*y - (t^7.97*y)/(g1*g2) + g2*t^8.06*y + (2*t^8.44*y)/g2 + (2*t^8.53*y)/g1 + 2*g1*g2*t^8.53*y + (2*t^8.91*y)/(g1*g2^2) + (2*g1*t^8.91*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 |
---|---|---|---|---|---|---|---|---|
46177 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_2$ | 0.6381 | 0.8072 | 0.7905 | [X:[], M:[1.1472, 0.7056, 1.1472, 0.7944], q:[0.75, 0.3972], qb:[0.3972, 0.4556], phi:[0.5]] | t^2.12 + 2*t^2.38 + t^3. + 4*t^3.44 + 2*t^3.88 + 2*t^4.06 + 2*t^4.23 + 2*t^4.5 + 3*t^4.77 + t^5.12 + 2*t^5.38 + 4*t^5.56 + 6*t^5.82 - 3*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 |
---|---|---|---|---|---|---|---|---|---|
45938 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ | 0.6363 | 0.8038 | 0.7916 | [X:[], M:[1.142, 0.6775], q:[0.75, 0.4306], qb:[0.392, 0.4275], phi:[0.5]] | t^2.03 + t^2.46 + t^2.47 + t^3. + 2*t^3.43 + t^3.53 + t^3.54 + t^3.85 + t^3.96 + 2*t^4.06 + t^4.07 + t^4.08 + t^4.49 + t^4.5 + t^4.92 + t^4.93 + t^4.94 + t^5.03 + 3*t^5.46 + t^5.47 + t^5.56 + t^5.57 + 2*t^5.88 + t^5.89 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail |