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 |
|---|---|---|---|---|---|---|---|---|---|
| 2193 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ | 0.6768 | 0.8462 | 0.7998 | [M:[1.0146, 1.0724, 1.1595, 0.8405, 0.7535, 0.7827, 0.9854], q:[0.7681, 0.5362], qb:[0.4492, 0.3914], phi:[0.4638]] | [M:[[13], [-4], [5], [-5], [-14], [12], [-13]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{7}^{2}$ | ${}$ | -1 | t^2.26 + t^2.348 + t^2.522 + t^2.783 + t^2.956 + t^3.217 + t^3.478 + 2*t^3.913 + t^4.086 + t^4.174 + t^4.348 + t^4.521 + 2*t^4.609 + t^4.696 + t^4.782 + t^4.87 + 2*t^5.043 + t^5.131 + t^5.217 + 2*t^5.304 + 2*t^5.478 + t^5.565 + 2*t^5.739 + t^5.912 - t^6. + 2*t^6.173 + t^6.261 + t^6.347 + 3*t^6.435 + t^6.522 + 2*t^6.608 + 2*t^6.696 + t^6.781 + 5*t^6.869 + t^6.957 + 2*t^7.043 + t^7.045 + 2*t^7.13 + 3*t^7.304 + 2*t^7.391 + t^7.477 + t^7.479 + 3*t^7.565 + t^7.652 + 2*t^7.738 + 3*t^7.826 + t^7.914 + 4*t^7.999 + t^8.087 + 2*t^8.173 + t^8.26 - 2*t^8.348 + 4*t^8.434 + t^8.607 + 4*t^8.695 + 3*t^8.868 + t^8.87 + t^8.956 - t^4.391/y - t^6.652/y - t^6.74/y + t^7.609/y + t^7.782/y + t^7.87/y + (2*t^8.043)/y + (2*t^8.131)/y + t^8.217/y + (2*t^8.304)/y + (2*t^8.478)/y + t^8.565/y + (3*t^8.739)/y + t^8.827/y - t^8.912/y - t^4.391*y - t^6.652*y - t^6.74*y + t^7.609*y + t^7.782*y + t^7.87*y + 2*t^8.043*y + 2*t^8.131*y + t^8.217*y + 2*t^8.304*y + 2*t^8.478*y + t^8.565*y + 3*t^8.739*y + t^8.827*y - t^8.912*y | t^2.26/g1^14 + g1^12*t^2.348 + t^2.522/g1^5 + g1^4*t^2.783 + t^2.956/g1^13 + t^3.217/g1^4 + g1^5*t^3.478 + (2*t^3.913)/g1^3 + t^4.086/g1^20 + g1^6*t^4.174 + t^4.348/g1^11 + t^4.521/g1^28 + (2*t^4.609)/g1^2 + g1^24*t^4.696 + t^4.782/g1^19 + g1^7*t^4.87 + (2*t^5.043)/g1^10 + g1^16*t^5.131 + t^5.217/g1^27 + (2*t^5.304)/g1 + (2*t^5.478)/g1^18 + g1^8*t^5.565 + (2*t^5.739)/g1^9 + t^5.912/g1^26 - t^6. + (2*t^6.173)/g1^17 + g1^9*t^6.261 + t^6.347/g1^34 + (3*t^6.435)/g1^8 + g1^18*t^6.522 + (2*t^6.608)/g1^25 + 2*g1*t^6.696 + t^6.781/g1^42 + (5*t^6.869)/g1^16 + g1^10*t^6.957 + (2*t^7.043)/g1^33 + g1^36*t^7.045 + (2*t^7.13)/g1^7 + (3*t^7.304)/g1^24 + 2*g1^2*t^7.391 + t^7.477/g1^41 + g1^28*t^7.479 + (3*t^7.565)/g1^15 + g1^11*t^7.652 + (2*t^7.738)/g1^32 + (3*t^7.826)/g1^6 + g1^20*t^7.914 + (4*t^7.999)/g1^23 + g1^3*t^8.087 + (2*t^8.173)/g1^40 + t^8.26/g1^14 - 2*g1^12*t^8.348 + (4*t^8.434)/g1^31 + t^8.607/g1^48 + (4*t^8.695)/g1^22 + (3*t^8.868)/g1^39 + g1^30*t^8.87 + t^8.956/g1^13 - (g1^2*t^4.391)/y - t^6.652/(g1^12*y) - (g1^14*t^6.74)/y + t^7.609/(g1^2*y) + t^7.782/(g1^19*y) + (g1^7*t^7.87)/y + (2*t^8.043)/(g1^10*y) + (2*g1^16*t^8.131)/y + t^8.217/(g1^27*y) + (2*t^8.304)/(g1*y) + (2*t^8.478)/(g1^18*y) + (g1^8*t^8.565)/y + (3*t^8.739)/(g1^9*y) + (g1^17*t^8.827)/y - t^8.912/(g1^26*y) - g1^2*t^4.391*y - (t^6.652*y)/g1^12 - g1^14*t^6.74*y + (t^7.609*y)/g1^2 + (t^7.782*y)/g1^19 + g1^7*t^7.87*y + (2*t^8.043*y)/g1^10 + 2*g1^16*t^8.131*y + (t^8.217*y)/g1^27 + (2*t^8.304*y)/g1 + (2*t^8.478*y)/g1^18 + g1^8*t^8.565*y + (3*t^8.739*y)/g1^9 + g1^17*t^8.827*y - (t^8.912*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4188 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{7}^{2}$ | 0.6765 | 0.8448 | 0.8008 | [M:[1.0, 1.0769, 1.1538, 0.8462, 0.7692, 0.7692, 1.0], q:[0.7692, 0.5385], qb:[0.4615, 0.3846], phi:[0.4615]] | 2*t^2.308 + t^2.538 + t^2.769 + t^3. + t^3.231 + t^3.462 + 2*t^3.923 + 2*t^4.154 + t^4.385 + 4*t^4.615 + 2*t^4.846 + 3*t^5.077 + 3*t^5.308 + 3*t^5.538 + 2*t^5.769 - t^4.385/y - t^4.385*y | detail | {a: 23781/35152, c: 1856/2197, M1: 1, M2: 14/13, M3: 15/13, M4: 11/13, M5: 10/13, M6: 10/13, M7: 1, q1: 10/13, q2: 7/13, qb1: 6/13, qb2: 5/13, phi1: 6/13} |
| 4187 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6703 | 0.8361 | 0.8016 | [M:[1.0249, 1.0692, 1.1634, 0.8366, 0.7424, 0.7923, 0.9751, 1.0692], q:[0.7673, 0.5346], qb:[0.4404, 0.3961], phi:[0.4654]] | t^2.227 + t^2.377 + t^2.51 + t^2.925 + 2*t^3.208 + t^3.49 + 2*t^3.906 + t^4.039 + t^4.188 + t^4.321 + t^4.454 + 2*t^4.604 + t^4.737 + t^4.754 + t^4.886 + t^5.019 + t^5.152 + t^5.302 + 3*t^5.435 + t^5.585 + 2*t^5.717 + t^5.85 - 2*t^6. - t^4.396/y - t^4.396*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1148 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6771 | 0.8451 | 0.8012 | [M:[0.9789, 1.0834, 1.1457, 0.8543, 0.792, 0.7497], q:[0.7709, 0.5417], qb:[0.4794, 0.3749], phi:[0.4583]] | t^2.249 + t^2.376 + t^2.563 + t^2.75 + t^2.937 + t^3.25 + t^3.437 + 2*t^3.938 + t^4.125 + t^4.251 + t^4.438 + t^4.498 + 2*t^4.625 + t^4.752 + t^4.812 + t^4.939 + t^4.999 + 2*t^5.126 + t^5.186 + 2*t^5.313 + 2*t^5.499 + t^5.626 + t^5.686 + t^5.813 + t^5.873 - t^6. - t^4.375/y - t^4.375*y | detail |