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 |
---|---|---|---|---|---|---|---|---|---|
406 | 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_3\phi_1\tilde{q}_1\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:[[2], [-4], [-1], [-1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ 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_1q_2$, $ q_1\tilde{q}_1$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2M_3$, $ M_2M_4$, $ 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_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_3$, $ M_1M_4$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_3q_1q_2$, $ M_4q_1q_2$, $ M_3q_1\tilde{q}_1$, $ 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 | (2*t^2.02)/g1 + t^2.08/g1^4 + 2*g1*t^2.48 + t^3. + 2*g1^2*t^3.46 + (2*t^3.52)/g1 + (6*t^4.04)/g1^2 + (2*t^4.1)/g1^5 + t^4.16/g1^8 + 4*t^4.5 + (2*t^4.56)/g1^3 + 3*g1^2*t^4.96 + (2*t^5.02)/g1 + t^5.08/g1^4 + 6*g1*t^5.48 + (6*t^5.54)/g1^2 + (2*t^5.6)/g1^5 + 2*g1^3*t^5.94 - t^6. + (8*t^6.06)/g1^3 + (6*t^6.12)/g1^6 + (2*t^6.18)/g1^9 + t^6.25/g1^12 + (10*t^6.52)/g1 + (4*t^6.58)/g1^4 + (2*t^6.64)/g1^7 + 2*g1^4*t^6.92 + 6*g1*t^6.98 + (8*t^7.04)/g1^2 + (2*t^7.1)/g1^5 + t^7.16/g1^8 + 8*t^7.5 + (14*t^7.56)/g1^3 + (6*t^7.62)/g1^6 + (2*t^7.68)/g1^9 + 3*g1^2*t^7.96 - (4*t^8.02)/g1 + (14*t^8.08)/g1^4 + (8*t^8.14)/g1^7 + (6*t^8.21)/g1^10 + (2*t^8.27)/g1^13 + t^8.33/g1^16 + 2*g1^4*t^8.42 - 4*g1*t^8.48 + (12*t^8.54)/g1^2 + (10*t^8.6)/g1^5 + (4*t^8.66)/g1^8 + (2*t^8.73)/g1^11 + 2*g1^3*t^8.94 - t^4.5/y - (2*t^6.52)/(g1*y) - t^6.58/(g1^4*y) + (2*t^7.04)/(g1^2*y) + (2*t^7.1)/(g1^5*y) + (4*t^7.5)/y + (2*t^7.56)/(g1^3*y) + (2*t^8.02)/(g1*y) + t^8.08/(g1^4*y) + (g1^4*t^8.42)/y + (8*g1*t^8.48)/y + (3*t^8.54)/(g1^2*y) - t^8.66/(g1^8*y) + (4*g1^3*t^8.94)/y - t^4.5*y - (2*t^6.52*y)/g1 - (t^6.58*y)/g1^4 + (2*t^7.04*y)/g1^2 + (2*t^7.1*y)/g1^5 + 4*t^7.5*y + (2*t^7.56*y)/g1^3 + (2*t^8.02*y)/g1 + (t^8.08*y)/g1^4 + g1^4*t^8.42*y + 8*g1*t^8.48*y + (3*t^8.54*y)/g1^2 - (t^8.66*y)/g1^8 + 4*g1^3*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 |
---|---|---|---|---|---|---|---|---|
1838 | $\phi_1q_1^2$ + $ 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_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_1q_2$ | 0.6925 | 0.9093 | 0.7615 | [X:[], M:[1.1463, 0.7074, 0.6769, 0.6769, 0.8231], q:[0.75, 0.4269], qb:[0.4269, 0.3963], phi:[0.5]] | 2*t^2.03 + t^2.12 + 3*t^2.47 + t^3. + 2*t^3.44 + t^3.53 + 6*t^4.06 + 2*t^4.15 + t^4.24 + 6*t^4.5 + 3*t^4.59 + 6*t^4.94 + 2*t^5.03 + t^5.12 + 7*t^5.47 + 4*t^5.56 + t^5.65 + 4*t^5.91 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
253 | 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_3\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6567 | 0.8429 | 0.7791 | [X:[], M:[1.1526, 0.6948, 0.6737], q:[0.75, 0.4237], qb:[0.4237, 0.4026], 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 + 4*t^4.04 + t^4.11 + t^4.17 + 2*t^4.5 + 2*t^4.56 + 3*t^4.96 + t^5.02 + t^5.08 + 4*t^5.48 + 4*t^5.54 + 2*t^5.61 + 2*t^5.94 - t^4.5/y - t^4.5*y | detail |