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 |
|---|---|---|---|---|---|---|---|---|---|
| 4931 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6241 | 0.811 | 0.7696 | [M:[1.0, 1.005, 0.99, 1.2513, 0.7387, 0.7487, 1.01, 0.7538], q:[0.2487, 0.7513], qb:[0.5, 0.51], phi:[0.4975]] | [M:[[0], [4], [-8], [1], [-9], [-1], [8], [3]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }M_{8}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{8}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{8}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}M_{8}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{2}q_{1}^{4}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.216 + t^2.246 + t^2.261 + t^2.276 + t^2.985 + t^3. + t^3.015 + t^3.03 + t^3.754 + t^3.769 + t^4.432 + t^4.462 + t^4.477 + 3*t^4.492 + t^4.508 + 3*t^4.523 + t^4.538 + 2*t^4.553 + t^5.201 + 2*t^5.231 + 2*t^5.246 + 3*t^5.261 + 3*t^5.276 + 2*t^5.291 + t^5.306 + t^5.97 + t^5.985 - t^6. + 3*t^6.015 + 2*t^6.03 + 2*t^6.045 + t^6.06 + t^6.649 + t^6.679 + t^6.694 + 2*t^6.709 + 3*t^6.739 + 2*t^6.754 + 5*t^6.769 + 3*t^6.784 + 4*t^6.799 + 2*t^6.814 + 2*t^6.829 + t^7.417 + 2*t^7.447 + 3*t^7.477 + t^7.492 + 4*t^7.508 + 5*t^7.523 + 6*t^7.538 + 5*t^7.553 + 2*t^7.568 + 2*t^7.583 + t^8.186 - 2*t^8.216 + t^8.231 - t^8.246 + t^8.261 + t^8.276 + 4*t^8.291 + 4*t^8.306 + 4*t^8.321 + t^8.336 + t^8.865 + t^8.895 + t^8.91 + 2*t^8.925 + t^8.94 + 3*t^8.955 + t^8.985 - t^4.492/y - t^6.709/y - t^6.754/y + t^7.462/y + t^7.477/y + t^7.492/y + t^7.508/y + t^7.523/y + t^7.538/y + t^8.201/y + t^8.216/y + (3*t^8.231)/y + (3*t^8.246)/y + (3*t^8.261)/y + (4*t^8.276)/y + (2*t^8.291)/y + t^8.306/y - t^8.925/y + (2*t^8.985)/y - t^4.492*y - t^6.709*y - t^6.754*y + t^7.462*y + t^7.477*y + t^7.492*y + t^7.508*y + t^7.523*y + t^7.538*y + t^8.201*y + t^8.216*y + 3*t^8.231*y + 3*t^8.246*y + 3*t^8.261*y + 4*t^8.276*y + 2*t^8.291*y + t^8.306*y - t^8.925*y + 2*t^8.985*y | t^2.216/g1^9 + t^2.246/g1 + g1^3*t^2.261 + g1^7*t^2.276 + t^2.985/g1^4 + t^3. + g1^4*t^3.015 + g1^8*t^3.03 + g1*t^3.754 + g1^5*t^3.769 + t^4.432/g1^18 + t^4.462/g1^10 + t^4.477/g1^6 + (3*t^4.492)/g1^2 + g1^2*t^4.508 + 3*g1^6*t^4.523 + g1^10*t^4.538 + 2*g1^14*t^4.553 + t^5.201/g1^13 + (2*t^5.231)/g1^5 + (2*t^5.246)/g1 + 3*g1^3*t^5.261 + 3*g1^7*t^5.276 + 2*g1^11*t^5.291 + g1^15*t^5.306 + t^5.97/g1^8 + t^5.985/g1^4 - t^6. + 3*g1^4*t^6.015 + 2*g1^8*t^6.03 + 2*g1^12*t^6.045 + g1^16*t^6.06 + t^6.649/g1^27 + t^6.679/g1^19 + t^6.694/g1^15 + (2*t^6.709)/g1^11 + (3*t^6.739)/g1^3 + 2*g1*t^6.754 + 5*g1^5*t^6.769 + 3*g1^9*t^6.784 + 4*g1^13*t^6.799 + 2*g1^17*t^6.814 + 2*g1^21*t^6.829 + t^7.417/g1^22 + (2*t^7.447)/g1^14 + (3*t^7.477)/g1^6 + t^7.492/g1^2 + 4*g1^2*t^7.508 + 5*g1^6*t^7.523 + 6*g1^10*t^7.538 + 5*g1^14*t^7.553 + 2*g1^18*t^7.568 + 2*g1^22*t^7.583 + t^8.186/g1^17 - (2*t^8.216)/g1^9 + t^8.231/g1^5 - t^8.246/g1 + g1^3*t^8.261 + g1^7*t^8.276 + 4*g1^11*t^8.291 + 4*g1^15*t^8.306 + 4*g1^19*t^8.321 + g1^23*t^8.336 + t^8.865/g1^36 + t^8.895/g1^28 + t^8.91/g1^24 + (2*t^8.925)/g1^20 + t^8.94/g1^16 + (3*t^8.955)/g1^12 + t^8.985/g1^4 - t^4.492/(g1^2*y) - t^6.709/(g1^11*y) - (g1*t^6.754)/y + t^7.462/(g1^10*y) + t^7.477/(g1^6*y) + t^7.492/(g1^2*y) + (g1^2*t^7.508)/y + (g1^6*t^7.523)/y + (g1^10*t^7.538)/y + t^8.201/(g1^13*y) + t^8.216/(g1^9*y) + (3*t^8.231)/(g1^5*y) + (3*t^8.246)/(g1*y) + (3*g1^3*t^8.261)/y + (4*g1^7*t^8.276)/y + (2*g1^11*t^8.291)/y + (g1^15*t^8.306)/y - t^8.925/(g1^20*y) + (2*t^8.985)/(g1^4*y) - (t^4.492*y)/g1^2 - (t^6.709*y)/g1^11 - g1*t^6.754*y + (t^7.462*y)/g1^10 + (t^7.477*y)/g1^6 + (t^7.492*y)/g1^2 + g1^2*t^7.508*y + g1^6*t^7.523*y + g1^10*t^7.538*y + (t^8.201*y)/g1^13 + (t^8.216*y)/g1^9 + (3*t^8.231*y)/g1^5 + (3*t^8.246*y)/g1 + 3*g1^3*t^8.261*y + 4*g1^7*t^8.276*y + 2*g1^11*t^8.291*y + g1^15*t^8.306*y - (t^8.925*y)/g1^20 + (2*t^8.985*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6555 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{4}M_{9}$ | 0.6432 | 0.8457 | 0.7606 | [M:[1.0, 1.006, 0.9879, 1.2515, 0.7364, 0.7485, 1.0121, 0.7545, 0.7485], q:[0.2485, 0.7515], qb:[0.5, 0.5121], phi:[0.497]] | t^2.209 + 2*t^2.245 + t^2.264 + t^2.282 + t^2.982 + t^3. + t^3.018 + t^3.036 + t^3.773 + t^4.419 + 2*t^4.455 + t^4.473 + 5*t^4.491 + 2*t^4.509 + 4*t^4.527 + t^4.545 + 2*t^4.563 + t^5.191 + 3*t^5.227 + 3*t^5.245 + 4*t^5.264 + 4*t^5.282 + 2*t^5.3 + t^5.318 + t^5.982 - 2*t^6. - t^4.491/y - t^4.491*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3064 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.6053 | 0.7765 | 0.7795 | [M:[1.0, 1.0083, 0.9834, 1.2521, 0.7313, 0.7479, 1.0166], q:[0.2479, 0.7521], qb:[0.5, 0.5166], phi:[0.4958]] | t^2.194 + t^2.244 + t^2.294 + t^2.975 + t^3. + t^3.025 + t^3.05 + t^3.731 + t^3.756 + t^3.781 + t^4.388 + t^4.438 + 3*t^4.488 + 2*t^4.537 + 2*t^4.587 + t^5.169 + 2*t^5.219 + t^5.244 + 2*t^5.269 + 2*t^5.294 + t^5.319 + t^5.344 + t^5.925 + t^5.95 + 2*t^5.975 - t^6. - t^4.488/y - t^4.488*y | detail |