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 |
|---|---|---|---|---|---|---|---|---|---|
| 1639 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$ | 0.7025 | 0.89 | 0.7893 | [M:[0.849, 1.151, 0.9714, 0.7265, 0.849, 0.849, 0.7265], q:[0.7878, 0.4857], qb:[0.6653, 0.3633], phi:[0.4245]] | [M:[[-4], [4], [-14], [6], [-4], [-4], [6]], q:[[1], [-7]], qb:[[11], [3]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$ | ${}M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | 0 | 2*t^2.18 + 4*t^2.547 + t^2.914 + t^3.453 + t^4.188 + 5*t^4.359 + 9*t^4.727 + 11*t^5.094 + t^5.265 + 3*t^5.461 + t^5.633 + t^5.828 - t^6.367 + 7*t^6.539 + 3*t^6.735 + 16*t^6.906 + t^7.102 + 21*t^7.273 + 2*t^7.445 + 20*t^7.641 + 3*t^7.812 + 8*t^8.008 - 8*t^8.18 + 4*t^8.375 - 11*t^8.547 + 10*t^8.718 + t^8.743 - 6*t^8.914 - t^4.273/y - (2*t^6.453)/y - (3*t^6.82)/y - t^7.188/y + (2*t^7.359)/y + (11*t^7.727)/y + (10*t^8.094)/y + (4*t^8.461)/y - t^8.633/y - t^4.273*y - 2*t^6.453*y - 3*t^6.82*y - t^7.188*y + 2*t^7.359*y + 11*t^7.727*y + 10*t^8.094*y + 4*t^8.461*y - t^8.633*y | 2*g1^6*t^2.18 + (4*t^2.547)/g1^4 + t^2.914/g1^14 + g1^4*t^3.453 + t^4.188/g1^16 + 5*g1^12*t^4.359 + 9*g1^2*t^4.727 + (11*t^5.094)/g1^8 + g1^20*t^5.265 + (3*t^5.461)/g1^18 + g1^10*t^5.633 + t^5.828/g1^28 - t^6.367/g1^10 + 7*g1^18*t^6.539 + (3*t^6.735)/g1^20 + 16*g1^8*t^6.906 + t^7.102/g1^30 + (21*t^7.273)/g1^2 + 2*g1^26*t^7.445 + (20*t^7.641)/g1^12 + 3*g1^16*t^7.812 + (8*t^8.008)/g1^22 - 8*g1^6*t^8.18 + (4*t^8.375)/g1^32 - (11*t^8.547)/g1^4 + 10*g1^24*t^8.718 + t^8.743/g1^42 - (6*t^8.914)/g1^14 - t^4.273/(g1^2*y) - (2*g1^4*t^6.453)/y - (3*t^6.82)/(g1^6*y) - t^7.188/(g1^16*y) + (2*g1^12*t^7.359)/y + (11*g1^2*t^7.727)/y + (10*t^8.094)/(g1^8*y) + (4*t^8.461)/(g1^18*y) - (g1^10*t^8.633)/y - (t^4.273*y)/g1^2 - 2*g1^4*t^6.453*y - (3*t^6.82*y)/g1^6 - (t^7.188*y)/g1^16 + 2*g1^12*t^7.359*y + 11*g1^2*t^7.727*y + (10*t^8.094*y)/g1^8 + (4*t^8.461*y)/g1^18 - g1^10*t^8.633*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 |
|---|---|---|---|---|---|---|---|---|
| 4031 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6795 | 0.867 | 0.7837 | [M:[0.8, 1.2, 0.8, 0.8, 0.8, 0.8, 0.8], q:[0.8, 0.4], qb:[0.8, 0.4], phi:[0.4]] | 7*t^2.4 + 2*t^3.6 + 29*t^4.8 + 5*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1359/2000, c: 867/1000, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, M5: 4/5, M6: 4/5, M7: 4/5, q1: 4/5, q2: 2/5, qb1: 4/5, qb2: 2/5, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1053 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6827 | 0.8534 | 0.8 | [M:[0.8464, 1.1536, 0.9625, 0.7304, 0.8464, 0.8464], q:[0.7884, 0.4812], qb:[0.6723, 0.3652], phi:[0.4232]] | t^2.191 + 4*t^2.539 + t^2.887 + t^3.461 + t^3.809 + t^4.157 + 3*t^4.382 + 5*t^4.73 + 10*t^5.079 + t^5.304 + 3*t^5.427 + t^5.775 + t^6. - t^4.27/y - t^4.27*y | detail |