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 |
|---|---|---|---|---|---|---|---|---|---|
| 55592 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_1^2$ | 0.8364 | 0.9927 | 0.8426 | [X:[], M:[1.0], q:[0.75, 0.75, 0.625], qb:[0.625, 0.625, 0.625], phi:[0.5]] | [X:[], M:[[0, 0, 0, 0]], q:[[-1, 0, 0, 0], [1, 0, 0, 0], [0, -1, -1, -1]], qb:[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], phi:[[0, 0, 0, 0]]] | 4 | {a: 1713/2048, c: 2033/2048, M1: 1, q1: 3/4, q2: 3/4, q3: 5/8, qb1: 5/8, qb2: 5/8, qb3: 5/8, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ q_3\tilde{q}_3$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_3\tilde{q}_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$ | . | -16 | t^3. + 6*t^3.75 + 8*t^4.12 + t^4.5 + 10*t^5.25 - 16*t^6. - 8*t^6.38 + 6*t^6.75 + 5*t^7.5 + 40*t^7.88 + 46*t^8.25 - t^4.5/y - t^4.5*y | t^3. + t^3.75/(g2*g3) + g2*g3*t^3.75 + t^3.75/(g2*g4) + t^3.75/(g3*g4) + g2*g4*t^3.75 + g3*g4*t^3.75 + (g2*t^4.12)/g1 + g1*g2*t^4.12 + (g3*t^4.12)/g1 + g1*g3*t^4.12 + t^4.12/(g1*g2*g3*g4) + (g1*t^4.12)/(g2*g3*g4) + (g4*t^4.12)/g1 + g1*g4*t^4.12 + t^4.5 + g2^2*t^5.25 + t^5.25/(g2*g3) + g2*g3*t^5.25 + g3^2*t^5.25 + t^5.25/(g2^2*g3^2*g4^2) + t^5.25/(g2*g4) + t^5.25/(g3*g4) + g2*g4*t^5.25 + g3*g4*t^5.25 + g4^2*t^5.25 - 4*t^6. - (g2*t^6.)/g3 - (g3*t^6.)/g2 - t^6./(g2*g3*g4^2) - (g2*t^6.)/g4 - t^6./(g2*g3^2*g4) - t^6./(g2^2*g3*g4) - (g3*t^6.)/g4 - (g4*t^6.)/g2 - (g4*t^6.)/g3 - g2^2*g3*g4*t^6. - g2*g3^2*g4*t^6. - g2*g3*g4^2*t^6. - t^6.38/(g1*g2) - (g1*t^6.38)/g2 - t^6.38/(g1*g3) - (g1*t^6.38)/g3 - t^6.38/(g1*g4) - (g1*t^6.38)/g4 - (g2*g3*g4*t^6.38)/g1 - g1*g2*g3*g4*t^6.38 + t^6.75/(g2*g3) + g2*g3*t^6.75 + t^6.75/(g2*g4) + t^6.75/(g3*g4) + g2*g4*t^6.75 + g3*g4*t^6.75 - t^7.5 + t^7.5/(g2^2*g3^2) + g2^2*g3^2*t^7.5 + t^7.5/(g2^2*g4^2) + t^7.5/(g3^2*g4^2) + g2^2*g4^2*t^7.5 + g3^2*g4^2*t^7.5 + (2*t^7.88)/(g1*g2) + (2*g1*t^7.88)/g2 + (2*t^7.88)/(g1*g3) + (2*g1*t^7.88)/g3 + (g2^2*g3*t^7.88)/g1 + g1*g2^2*g3*t^7.88 + (g2*g3^2*t^7.88)/g1 + g1*g2*g3^2*t^7.88 + t^7.88/(g1*g2*g3^2*g4^2) + (g1*t^7.88)/(g2*g3^2*g4^2) + t^7.88/(g1*g2^2*g3*g4^2) + (g1*t^7.88)/(g2^2*g3*g4^2) + (2*t^7.88)/(g1*g4) + (2*g1*t^7.88)/g4 + t^7.88/(g1*g2^2*g3^2*g4) + (g1*t^7.88)/(g2^2*g3^2*g4) + (g2*t^7.88)/(g1*g3*g4) + (g1*g2*t^7.88)/(g3*g4) + (g3*t^7.88)/(g1*g2*g4) + (g1*g3*t^7.88)/(g2*g4) + (g2^2*g4*t^7.88)/g1 + g1*g2^2*g4*t^7.88 + (g4*t^7.88)/(g1*g2*g3) + (g1*g4*t^7.88)/(g2*g3) + (2*g2*g3*g4*t^7.88)/g1 + 2*g1*g2*g3*g4*t^7.88 + (g3^2*g4*t^7.88)/g1 + g1*g3^2*g4*t^7.88 + (g2*g4^2*t^7.88)/g1 + g1*g2*g4^2*t^7.88 + (g3*g4^2*t^7.88)/g1 + g1*g3*g4^2*t^7.88 + t^8.25/g2^2 + g2^2*t^8.25 + (g2^2*t^8.25)/g1^2 + g1^2*g2^2*t^8.25 + t^8.25/g3^2 + (3*t^8.25)/(g2*g3) + t^8.25/(g1^2*g2*g3) + (g1^2*t^8.25)/(g2*g3) + 3*g2*g3*t^8.25 + (g2*g3*t^8.25)/g1^2 + g1^2*g2*g3*t^8.25 + g3^2*t^8.25 + (g3^2*t^8.25)/g1^2 + g1^2*g3^2*t^8.25 + t^8.25/g4^2 + t^8.25/(g2^2*g3^2*g4^2) + t^8.25/(g1^2*g2^2*g3^2*g4^2) + (g1^2*t^8.25)/(g2^2*g3^2*g4^2) + (3*t^8.25)/(g2*g4) + t^8.25/(g1^2*g2*g4) + (g1^2*t^8.25)/(g2*g4) + (3*t^8.25)/(g3*g4) + t^8.25/(g1^2*g3*g4) + (g1^2*t^8.25)/(g3*g4) + 3*g2*g4*t^8.25 + (g2*g4*t^8.25)/g1^2 + g1^2*g2*g4*t^8.25 + 3*g3*g4*t^8.25 + (g3*g4*t^8.25)/g1^2 + g1^2*g3*g4*t^8.25 + g4^2*t^8.25 + (g4^2*t^8.25)/g1^2 + g1^2*g4^2*t^8.25 + g2^2*g3^2*g4^2*t^8.25 - t^4.5/y - t^4.5*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 |
|---|
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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55447 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ M_1\phi_1^2$ | 0.8544 | 1.0432 | 0.8191 | [X:[], M:[0.8516], q:[0.7129, 0.7129, 0.5693], qb:[0.5693, 0.5693, 0.5693], phi:[0.5742]] | t^2.55 + 6*t^3.42 + 8*t^3.85 + t^4.28 + t^5.11 + 10*t^5.14 + 6*t^5.97 - 17*t^6. - t^4.72/y - t^4.72*y | detail |