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 |
---|---|---|---|---|---|---|---|---|---|
46348 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ M_1\phi_1^2$ | 0.7023 | 0.8571 | 0.8194 | [X:[], M:[1.0459, 0.9082, 0.9541, 1.0], q:[0.5, 0.4541], qb:[0.5918, 0.5459], phi:[0.477]] | [X:[], M:[[2], [-4], [-2], [0]], q:[[0], [-2]], qb:[[4], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ \phi_1^2$, $ M_4$, $ M_1$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_3$, $ M_2\phi_1^2$, $ M_3^2$, $ M_2M_4$, $ M_3\phi_1^2$, $ \phi_1^4$, $ M_1M_2$, $ M_3M_4$, $ M_4\phi_1^2$, $ M_2q_2\tilde{q}_1$ | $M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$ | 1 | t^2.72 + 2*t^2.86 + t^3. + 2*t^3.14 + t^3.41 + t^4.16 + t^4.29 + 2*t^4.43 + 2*t^4.57 + 2*t^4.71 + t^4.84 + t^4.98 + t^5.45 + t^5.59 + 2*t^5.72 + t^5.86 + t^6. + 2*t^6.28 + 2*t^6.55 + t^6.83 + t^6.88 + 2*t^7.02 + 3*t^7.16 + 4*t^7.29 + 4*t^7.43 + 4*t^7.57 + 3*t^7.71 + 3*t^7.84 + 2*t^7.98 + 2*t^8.12 + t^8.17 + t^8.26 + 2*t^8.31 + t^8.4 + 2*t^8.45 + 3*t^8.59 - t^4.43/y - t^7.16/y - t^7.29/y + t^7.57/y + t^7.71/y + (2*t^8.59)/y + (2*t^8.72)/y + (4*t^8.86)/y - t^4.43*y - t^7.16*y - t^7.29*y + t^7.57*y + t^7.71*y + 2*t^8.59*y + 2*t^8.72*y + 4*t^8.86*y | t^2.72/g1^4 + (2*t^2.86)/g1^2 + t^3. + 2*g1^2*t^3.14 + g1^6*t^3.41 + t^4.16/g1^5 + t^4.29/g1^3 + (2*t^4.43)/g1 + 2*g1*t^4.57 + 2*g1^3*t^4.71 + g1^5*t^4.84 + g1^7*t^4.98 + t^5.45/g1^8 + t^5.59/g1^6 + (2*t^5.72)/g1^4 + t^5.86/g1^2 + t^6. + 2*g1^4*t^6.28 + 2*g1^8*t^6.55 + g1^12*t^6.83 + t^6.88/g1^9 + (2*t^7.02)/g1^7 + (3*t^7.16)/g1^5 + (4*t^7.29)/g1^3 + (4*t^7.43)/g1 + 4*g1*t^7.57 + 3*g1^3*t^7.71 + 3*g1^5*t^7.84 + 2*g1^7*t^7.98 + 2*g1^9*t^8.12 + t^8.17/g1^12 + g1^11*t^8.26 + (2*t^8.31)/g1^10 + g1^13*t^8.4 + (2*t^8.45)/g1^8 + (3*t^8.59)/g1^6 - t^4.43/(g1*y) - t^7.16/(g1^5*y) - t^7.29/(g1^3*y) + (g1*t^7.57)/y + (g1^3*t^7.71)/y + (2*t^8.59)/(g1^6*y) + (2*t^8.72)/(g1^4*y) + (4*t^8.86)/(g1^2*y) - (t^4.43*y)/g1 - (t^7.16*y)/g1^5 - (t^7.29*y)/g1^3 + g1*t^7.57*y + g1^3*t^7.71*y + (2*t^8.59*y)/g1^6 + (2*t^8.72*y)/g1^4 + (4*t^8.86*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
47000 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ M_1\phi_1^2$ + $ M_5\phi_1^2$ | 0.6985 | 0.8513 | 0.8205 | [X:[], M:[1.0369, 0.9263, 0.9631, 1.0, 1.0369], q:[0.5, 0.4631], qb:[0.5737, 0.5369], phi:[0.4816]] | t^2.78 + t^2.89 + t^3. + 3*t^3.11 + t^3.33 + t^4.22 + t^4.33 + 2*t^4.44 + 2*t^4.56 + 2*t^4.67 + t^4.78 + t^4.89 + t^5.56 + t^5.89 - t^4.44/y - t^4.44*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 |
---|---|---|---|---|---|---|---|---|---|
46140 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ | 0.7077 | 0.8618 | 0.8212 | [X:[], M:[1.0, 0.8615, 1.0, 1.0], q:[0.5, 0.5], qb:[0.6385, 0.5], phi:[0.4654]] | t^2.58 + t^2.79 + 3*t^3. + 2*t^3.42 + 6*t^4.4 + 3*t^4.81 + t^5.17 + t^5.23 + t^5.38 + t^5.58 + 3*t^5.79 - 2*t^6. - t^4.4/y - t^4.4*y | detail |