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 |
---|---|---|---|---|---|---|---|---|---|
257 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2^2$ | 0.6564 | 0.8431 | 0.7786 | [X:[], M:[1.1623, 0.6755, 0.6755], q:[0.75, 0.4123], qb:[0.4255, 0.4123], phi:[0.5]] | [X:[], M:[[1], [-2], [-2]], q:[[0], [1]], qb:[[-2], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ \phi_1\tilde{q}_1^2$, $ M_2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1M_2$, $ M_1M_3$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ M_2q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_1$, $ q_1q_2^2\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $q_1q_2\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | 1 | 2*t^2.03 + t^2.47 + t^2.51 + t^3. + 3*t^3.49 + t^3.53 + t^3.97 + 2*t^4.01 + 4*t^4.05 + 2*t^4.5 + 2*t^4.54 + t^4.95 + t^4.99 + 3*t^5.03 + t^5.47 + 7*t^5.51 + 2*t^5.55 + t^5.96 + t^6. + 3*t^6.04 + 6*t^6.08 + t^6.45 + 2*t^6.49 + 5*t^6.53 + 4*t^6.57 + 5*t^6.97 + 3*t^7.01 + 6*t^7.05 + t^7.42 + 2*t^7.5 + 13*t^7.54 + 4*t^7.58 + t^7.95 + t^7.99 + 2*t^8.03 + 6*t^8.07 + 9*t^8.11 + t^8.43 - t^8.47 + t^8.51 + 7*t^8.55 + 6*t^8.59 + t^8.92 - t^4.5/y - (2*t^6.53)/y + t^7.01/y + t^7.05/y + (2*t^7.5)/y + (2*t^7.54)/y + (2*t^8.03)/y + (3*t^8.47)/y + (7*t^8.51)/y - t^8.55/y + (3*t^8.96)/y - t^4.5*y - 2*t^6.53*y + t^7.01*y + t^7.05*y + 2*t^7.5*y + 2*t^7.54*y + 2*t^8.03*y + 3*t^8.47*y + 7*t^8.51*y - t^8.55*y + 3*t^8.96*y | (2*t^2.03)/g1^2 + g1^2*t^2.47 + t^2.51/g1 + t^3. + 3*g1*t^3.49 + t^3.53/g1^2 + g1^2*t^3.97 + (2*t^4.01)/g1 + (4*t^4.05)/g1^4 + 2*t^4.5 + (2*t^4.54)/g1^3 + g1^4*t^4.95 + g1*t^4.99 + (3*t^5.03)/g1^2 + g1^2*t^5.47 + (7*t^5.51)/g1 + (2*t^5.55)/g1^4 + g1^3*t^5.96 + t^6. + (3*t^6.04)/g1^3 + (6*t^6.08)/g1^6 + g1^4*t^6.45 + 2*g1*t^6.49 + (5*t^6.53)/g1^2 + (4*t^6.57)/g1^5 + 5*g1^2*t^6.97 + (3*t^7.01)/g1 + (6*t^7.05)/g1^4 + g1^6*t^7.42 + 2*t^7.5 + (13*t^7.54)/g1^3 + (4*t^7.58)/g1^6 + g1^4*t^7.95 + g1*t^7.99 + (2*t^8.03)/g1^2 + (6*t^8.07)/g1^5 + (9*t^8.11)/g1^8 + g1^5*t^8.43 - g1^2*t^8.47 + t^8.51/g1 + (7*t^8.55)/g1^4 + (6*t^8.59)/g1^7 + g1^6*t^8.92 - t^4.5/y - (2*t^6.53)/(g1^2*y) + t^7.01/(g1*y) + t^7.05/(g1^4*y) + (2*t^7.5)/y + (2*t^7.54)/(g1^3*y) + (2*t^8.03)/(g1^2*y) + (3*g1^2*t^8.47)/y + (7*t^8.51)/(g1*y) - t^8.55/(g1^4*y) + (3*g1^3*t^8.96)/y - t^4.5*y - (2*t^6.53*y)/g1^2 + (t^7.01*y)/g1 + (t^7.05*y)/g1^4 + 2*t^7.5*y + (2*t^7.54*y)/g1^3 + (2*t^8.03*y)/g1^2 + 3*g1^2*t^8.47*y + (7*t^8.51*y)/g1 - (t^8.55*y)/g1^4 + 3*g1^3*t^8.96*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 |
---|---|---|---|---|---|---|---|---|
408 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6772 | 0.8843 | 0.7658 | [X:[], M:[1.1628, 0.6744, 0.6744, 0.6744], q:[0.75, 0.4128], qb:[0.4244, 0.4128], phi:[0.5]] | 3*t^2.02 + t^2.48 + t^2.51 + t^3. + 3*t^3.49 + t^3.52 + 2*t^4.01 + 7*t^4.05 + 3*t^4.5 + 3*t^4.53 + t^4.95 + t^4.99 + 4*t^5.02 + t^5.48 + 10*t^5.51 + 3*t^5.55 + t^5.97 - 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 |
---|---|---|---|---|---|---|---|---|---|
163 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_2^2$ | 0.6356 | 0.8019 | 0.7926 | [X:[], M:[1.1615, 0.6769], q:[0.75, 0.4115], qb:[0.4269, 0.4115], phi:[0.5]] | t^2.03 + t^2.47 + t^2.52 + t^3. + 3*t^3.48 + t^3.53 + 2*t^3.97 + 2*t^4.02 + 2*t^4.06 + t^4.5 + t^4.55 + t^4.94 + t^4.98 + 2*t^5.03 + t^5.47 + 4*t^5.52 + t^5.56 + t^5.95 + t^6. - t^4.5/y - t^4.5*y | detail |