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 |
---|---|---|---|---|---|---|---|---|---|
45881 | SU2adj1nf2 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ \phi_1q_2^2$ | 0.6434 | 0.8105 | 0.7939 | [X:[], M:[0.8275], q:[0.4225, 0.75], qb:[0.4225, 0.4051], phi:[0.5]] | [X:[], M:[[1]], q:[[-1], [0]], qb:[[-1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ q_1\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ q_1^2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ q_1^2\tilde{q}_1^2$, $ M_1\phi_1^2$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_2^2$ | . | -1 | 3*t^2.48 + t^2.53 + t^3. + t^3.47 + t^3.52 + t^3.93 + 2*t^3.98 + 3*t^4.03 + 6*t^4.97 + 3*t^5.02 + t^5.07 + 3*t^5.48 + t^5.53 + t^5.95 - t^6. - t^6.05 + 3*t^6.41 + 6*t^6.47 + 8*t^6.52 + 3*t^6.57 + t^6.93 - t^6.98 + t^7.4 + 9*t^7.45 + 3*t^7.5 + 2*t^7.55 + t^7.6 + t^7.86 + 2*t^7.91 + 8*t^7.97 + 5*t^8.02 + 6*t^8.07 - 8*t^8.48 - 7*t^8.53 - t^8.59 + 6*t^8.9 + 10*t^8.95 - t^4.5/y - t^6.98/y + (3*t^7.97)/y + (4*t^8.02)/y + (3*t^8.48)/y + t^8.53/y + (3*t^8.95)/y - t^4.5*y - t^6.98*y + 3*t^7.97*y + 4*t^8.02*y + 3*t^8.48*y + t^8.53*y + 3*t^8.95*y | 3*g1*t^2.48 + t^2.53/g1^2 + t^3. + g1^2*t^3.47 + t^3.52/g1 + g1^4*t^3.93 + 2*g1*t^3.98 + (3*t^4.03)/g1^2 + 6*g1^2*t^4.97 + (3*t^5.02)/g1 + t^5.07/g1^4 + 3*g1*t^5.48 + t^5.53/g1^2 + g1^3*t^5.95 - t^6. - t^6.05/g1^3 + 3*g1^5*t^6.41 + 6*g1^2*t^6.47 + (8*t^6.52)/g1 + (3*t^6.57)/g1^4 + g1^4*t^6.93 - g1*t^6.98 + g1^6*t^7.4 + 9*g1^3*t^7.45 + 3*t^7.5 + (2*t^7.55)/g1^3 + t^7.6/g1^6 + g1^8*t^7.86 + 2*g1^5*t^7.91 + 8*g1^2*t^7.97 + (5*t^8.02)/g1 + (6*t^8.07)/g1^4 - 8*g1*t^8.48 - (7*t^8.53)/g1^2 - t^8.59/g1^5 + 6*g1^6*t^8.9 + 10*g1^3*t^8.95 - t^4.5/y - (g1*t^6.98)/y + (3*g1^2*t^7.97)/y + (4*t^8.02)/(g1*y) + (3*g1*t^8.48)/y + t^8.53/(g1^2*y) + (3*g1^3*t^8.95)/y - t^4.5*y - g1*t^6.98*y + 3*g1^2*t^7.97*y + (4*t^8.02*y)/g1 + 3*g1*t^8.48*y + (t^8.53*y)/g1^2 + 3*g1^3*t^8.95*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 |
---|---|---|---|---|---|---|---|---|
45943 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_2q_2\tilde{q}_2$ | 0.6577 | 0.8352 | 0.7876 | [X:[], M:[0.8387, 0.8227], q:[0.4113, 0.75], qb:[0.4113, 0.4273], phi:[0.5]] | 2*t^2.47 + 3*t^2.52 + t^3. + t^3.48 + 3*t^3.97 + 2*t^4.02 + t^4.06 + 3*t^4.94 + 6*t^4.98 + 6*t^5.03 + 2*t^5.47 + 3*t^5.52 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
46008 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ \phi_1q_2^2$ + $ q_1q_2\tilde{q}_2^2$ | 0.6432 | 0.8099 | 0.7942 | [X:[], M:[0.8333], q:[0.4167, 0.75], qb:[0.4167, 0.4167], phi:[0.5]] | 4*t^2.5 + t^3. + 2*t^3.5 + 6*t^4. + 10*t^5. + 4*t^5.5 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 247/384, c: 311/384, M1: 5/6, q1: 5/12, q2: 3/4, qb1: 5/12, qb2: 5/12, phi1: 1/2} |
45996 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ \phi_1q_2^2$ + $ q_1^2\tilde{q}_1^2$ | 0.605 | 0.7769 | 0.7788 | [X:[], M:[0.75], q:[0.5, 0.75], qb:[0.5, 0.25], phi:[0.5]] | 3*t^2.25 + 4*t^3. + 3*t^3.75 + 9*t^4.5 + 10*t^5.25 + 10*t^6. - t^4.5/y - t^4.5*y | detail | {a: 1239/2048, c: 1591/2048, M1: 3/4, q1: 1/2, q2: 3/4, qb1: 1/2, qb2: 1/4, phi1: 1/2} |
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 |
---|---|---|---|---|---|---|---|---|---|
45839 | SU2adj1nf2 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ | 0.6927 | 0.8507 | 0.8143 | [X:[], M:[0.9724], q:[0.4996, 0.528], 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 |