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 |
|---|---|---|---|---|---|---|---|---|---|
| 397 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6338 | 0.802 | 0.7903 | [M:[1.2058, 1.1029, 0.7942, 0.7058], q:[0.75, 0.4413], qb:[0.3529, 0.4558], phi:[0.5]] | [M:[[2], [1], [-2], [2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}M_{3}q_{1}\tilde{q}_{2}$ | 0 | t^2.117 + t^2.383 + t^2.426 + t^3. + 2*t^3.309 + t^3.574 + 2*t^3.617 + t^3.926 + t^4.148 + t^4.191 + 2*t^4.235 + t^4.5 + t^4.543 + t^4.765 + t^4.809 + t^4.852 + t^5.117 + t^5.383 + 3*t^5.426 + 2*t^5.691 + 3*t^5.735 + 2*t^6.043 + t^6.309 + 3*t^6.352 + t^6.531 + t^6.574 + 5*t^6.617 + 2*t^6.661 + t^6.883 + 4*t^6.926 + t^6.969 + 2*t^7.148 + 5*t^7.235 + t^7.278 + 5*t^7.543 + t^7.722 + t^7.765 + 2*t^7.809 + 6*t^7.852 - t^8.117 + 4*t^8.161 + t^8.296 + t^8.339 + t^8.426 + 5*t^8.469 - t^8.691 + 4*t^8.735 + 3*t^8.778 + t^8.913 - t^4.5/y - t^6.617/y + t^7.191/y + t^7.5/y + t^7.543/y + t^8.117/y + (2*t^8.383)/y + (3*t^8.426)/y + (3*t^8.691)/y + (3*t^8.735)/y + t^8.957/y - t^4.5*y - t^6.617*y + t^7.191*y + t^7.5*y + t^7.543*y + t^8.117*y + 2*t^8.383*y + 3*t^8.426*y + 3*t^8.691*y + 3*t^8.735*y + t^8.957*y | g1^2*t^2.117 + t^2.383/g1^2 + g1^3*t^2.426 + t^3. + 2*g1*t^3.309 + t^3.574/g1^3 + 2*g1^2*t^3.617 + g1^3*t^3.926 + t^4.148/g1^6 + t^4.191/g1 + 2*g1^4*t^4.235 + t^4.5 + g1^5*t^4.543 + t^4.765/g1^4 + g1*t^4.809 + g1^6*t^4.852 + g1^2*t^5.117 + t^5.383/g1^2 + 3*g1^3*t^5.426 + (2*t^5.691)/g1 + 3*g1^4*t^5.735 + 2*g1^5*t^6.043 + g1*t^6.309 + 3*g1^6*t^6.352 + t^6.531/g1^8 + t^6.574/g1^3 + 5*g1^2*t^6.617 + 2*g1^7*t^6.661 + t^6.883/g1^2 + 4*g1^3*t^6.926 + g1^8*t^6.969 + (2*t^7.148)/g1^6 + 5*g1^4*t^7.235 + g1^9*t^7.278 + 5*g1^5*t^7.543 + t^7.722/g1^9 + t^7.765/g1^4 + 2*g1*t^7.809 + 6*g1^6*t^7.852 - g1^2*t^8.117 + 4*g1^7*t^8.161 + t^8.296/g1^12 + t^8.339/g1^7 + g1^3*t^8.426 + 5*g1^8*t^8.469 - t^8.691/g1 + 4*g1^4*t^8.735 + 3*g1^9*t^8.778 + t^8.913/g1^10 - t^4.5/y - (g1^2*t^6.617)/y + t^7.191/(g1*y) + t^7.5/y + (g1^5*t^7.543)/y + (g1^2*t^8.117)/y + (2*t^8.383)/(g1^2*y) + (3*g1^3*t^8.426)/y + (3*t^8.691)/(g1*y) + (3*g1^4*t^8.735)/y + t^8.957/(g1^5*y) - t^4.5*y - g1^2*t^6.617*y + (t^7.191*y)/g1 + t^7.5*y + g1^5*t^7.543*y + g1^2*t^8.117*y + (2*t^8.383*y)/g1^2 + 3*g1^3*t^8.426*y + (3*t^8.691*y)/g1 + 3*g1^4*t^8.735*y + (t^8.957*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 641 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6545 | 0.842 | 0.7773 | [M:[1.2082, 1.1041, 0.7918, 0.7082, 0.6877], q:[0.75, 0.4377], qb:[0.3541, 0.4582], phi:[0.5]] | t^2.063 + t^2.125 + t^2.375 + t^2.437 + t^3. + 2*t^3.312 + t^3.563 + 2*t^3.625 + 2*t^4.126 + 2*t^4.188 + 2*t^4.249 + t^4.438 + 2*t^4.5 + t^4.562 + t^4.751 + t^4.812 + t^4.874 + t^5.063 + t^5.125 + 3*t^5.375 + 3*t^5.437 + t^5.626 + 4*t^5.688 + 3*t^5.749 - t^4.5/y - t^4.5*y | detail | |
| 1837 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ | 0.6503 | 0.8327 | 0.7809 | [M:[1.1937, 1.0968, 0.8063, 0.6937, 0.7905], q:[0.75, 0.4595], qb:[0.3468, 0.4437], phi:[0.5]] | t^2.081 + 2*t^2.372 + t^2.419 + t^3. + 2*t^3.291 + 2*t^3.581 + t^3.872 + 2*t^4.162 + t^4.209 + t^4.257 + 2*t^4.453 + t^4.5 + 3*t^4.743 + 2*t^4.791 + t^4.838 + t^5.081 + 4*t^5.372 + t^5.419 + 5*t^5.662 + t^5.709 + 4*t^5.953 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 24639/37888, c: 31551/37888, M1: 265/222, M2: 487/444, M3: 179/222, M4: 77/111, M5: 117/148, q1: 3/4, q2: 17/37, qb1: 77/222, qb2: 197/444, 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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 248 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ | 0.6134 | 0.7631 | 0.8038 | [M:[1.2089, 1.1045, 0.7911], q:[0.75, 0.4366], qb:[0.3545, 0.4589], phi:[0.5]] | t^2.373 + t^2.44 + t^3. + 2*t^3.313 + t^3.56 + 2*t^3.627 + t^3.873 + t^3.94 + t^4.12 + t^4.187 + t^4.253 + t^4.747 + t^4.813 + t^4.88 + t^5.373 + t^5.44 + t^5.687 + t^5.753 - t^4.5/y - t^4.5*y | detail |