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 |
|---|---|---|---|---|---|---|---|---|---|
| 46979 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.618 | 0.7587 | 0.8146 | [M:[0.8217, 0.7494, 1.1783, 1.2506, 0.7132], q:[0.8036, 0.3747], qb:[0.447, 0.8036], phi:[0.3928]] | [M:[[6], [-14], [-6], [14], [-24]], q:[[1], [-7]], qb:[[13], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 0 | t^2.14 + t^2.357 + t^2.465 + t^3.426 + 2*t^3.535 + t^3.643 + 2*t^3.752 + t^4.279 + t^4.496 + t^4.605 + t^4.713 + 2*t^4.822 + t^4.93 + t^5.566 + 2*t^5.675 + t^5.783 + 3*t^5.892 + t^6.108 + t^6.217 + t^6.419 + t^6.636 + t^6.744 + 2*t^6.853 + 3*t^6.961 + 3*t^7.07 + 2*t^7.178 + 2*t^7.287 + 2*t^7.504 + t^7.706 + 2*t^7.814 + t^7.923 + 3*t^8.031 + t^8.248 + t^8.357 - t^8.465 + t^8.559 + t^8.776 + t^8.884 + 2*t^8.992 - t^4.178/y - t^6.318/y - t^6.535/y + t^7.496/y + t^7.605/y + (2*t^7.822)/y + t^8.039/y - t^8.458/y + t^8.566/y + t^8.675/y + (2*t^8.783)/y + (4*t^8.892)/y - t^4.178*y - t^6.318*y - t^6.535*y + t^7.496*y + t^7.605*y + 2*t^7.822*y + t^8.039*y - t^8.458*y + t^8.566*y + t^8.675*y + 2*t^8.783*y + 4*t^8.892*y | t^2.14/g1^24 + t^2.357/g1^4 + g1^6*t^2.465 + t^3.426/g1^16 + (2*t^3.535)/g1^6 + g1^4*t^3.643 + 2*g1^14*t^3.752 + t^4.279/g1^48 + t^4.496/g1^28 + t^4.605/g1^18 + t^4.713/g1^8 + 2*g1^2*t^4.822 + g1^12*t^4.93 + t^5.566/g1^40 + (2*t^5.675)/g1^30 + t^5.783/g1^20 + (3*t^5.892)/g1^10 + g1^10*t^6.108 + g1^20*t^6.217 + t^6.419/g1^72 + t^6.636/g1^52 + t^6.744/g1^42 + (2*t^6.853)/g1^32 + (3*t^6.961)/g1^22 + (3*t^7.07)/g1^12 + (2*t^7.178)/g1^2 + 2*g1^8*t^7.287 + 2*g1^28*t^7.504 + t^7.706/g1^64 + (2*t^7.814)/g1^54 + t^7.923/g1^44 + (3*t^8.031)/g1^34 + t^8.248/g1^14 + t^8.357/g1^4 - g1^6*t^8.465 + t^8.559/g1^96 + t^8.776/g1^76 + t^8.884/g1^66 + (2*t^8.992)/g1^56 - t^4.178/(g1^2*y) - t^6.318/(g1^26*y) - t^6.535/(g1^6*y) + t^7.496/(g1^28*y) + t^7.605/(g1^18*y) + (2*g1^2*t^7.822)/y + (g1^22*t^8.039)/y - t^8.458/(g1^50*y) + t^8.566/(g1^40*y) + t^8.675/(g1^30*y) + (2*t^8.783)/(g1^20*y) + (4*t^8.892)/(g1^10*y) - (t^4.178*y)/g1^2 - (t^6.318*y)/g1^26 - (t^6.535*y)/g1^6 + (t^7.496*y)/g1^28 + (t^7.605*y)/g1^18 + 2*g1^2*t^7.822*y + g1^22*t^8.039*y - (t^8.458*y)/g1^50 + (t^8.566*y)/g1^40 + (t^8.675*y)/g1^30 + (2*t^8.783*y)/g1^20 + (4*t^8.892*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55272 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}^{2}$ | 0.5721 | 0.7023 | 0.8146 | [M:[0.75, 0.9167, 1.25, 1.0833, 1.0], q:[0.7917, 0.4583], qb:[0.2917, 0.7917], phi:[0.4167]] | t^2.25 + t^2.5 + t^3. + 2*t^3.25 + t^3.5 + 2*t^3.75 + t^4. + t^4.5 + 2*t^4.75 + t^5. + t^5.25 + 2*t^5.5 + t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 3515/6144, c: 4315/6144, M1: 3/4, M2: 11/12, M3: 5/4, M4: 13/12, M5: 1, q1: 19/24, q2: 11/24, qb1: 7/24, qb2: 19/24, phi1: 5/12} |
| 55249 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6315 | 0.7813 | 0.8083 | [M:[0.8121, 0.7718, 1.1879, 1.2282, 0.7517, 0.8322], q:[0.802, 0.3859], qb:[0.4261, 0.802], phi:[0.396]] | t^2.255 + t^2.376 + t^2.436 + t^2.497 + 2*t^3.564 + t^3.624 + 2*t^3.684 + t^4.51 + t^4.631 + t^4.691 + 2*t^4.752 + 2*t^4.812 + 2*t^4.872 + t^4.933 + t^4.993 + 2*t^5.819 + 2*t^5.94 - t^4.188/y - t^4.188*y | detail | |
| 55118 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6007 | 0.7278 | 0.8254 | [M:[0.8198, 0.7538, 1.1802, 1.2462, 0.7207, 1.2132], q:[0.8033, 0.3769], qb:[0.4429, 0.8033], phi:[0.3934]] | t^2.162 + t^2.459 + t^3.441 + 2*t^3.541 + 2*t^3.64 + 2*t^3.739 + t^4.324 + t^4.622 + t^4.82 + t^4.919 + t^5.604 + 2*t^5.703 + t^5.802 + t^5.901 - t^6. - t^4.18/y - t^4.18*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46701 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.5982 | 0.7217 | 0.8288 | [M:[0.8137, 0.7681, 1.1863, 1.2319], q:[0.8023, 0.3841], qb:[0.4296, 0.8023], phi:[0.3954]] | t^2.373 + t^2.441 + t^3.491 + 2*t^3.559 + t^3.627 + 2*t^3.696 + t^3.764 + t^4.745 + 2*t^4.814 + t^4.882 + t^5.932 - t^4.186/y - t^4.186*y | detail |