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 |
|---|---|---|---|---|---|---|---|---|---|
| 46335 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6052 | 0.7542 | 0.8024 | [M:[1.0, 1.0, 0.7685, 0.7685], q:[0.5764, 0.4236], qb:[0.4236, 1.0393], phi:[0.3843]] | [M:[[1, -3], [-1, 3], [-2, 2], [2, -10]], q:[[0, -3], [-1, 6]], qb:[[1, 0], [0, 5]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}M_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 1 | 3*t^2.306 + t^2.542 + 2*t^3. + t^3.694 + 2*t^4.389 + 6*t^4.611 + 4*t^4.847 + t^5.083 + 4*t^5.306 + 2*t^5.542 + t^6. + t^6.236 - 2*t^6.458 + 4*t^6.694 + 10*t^6.917 + 2*t^6.93 + 5*t^7.153 + 4*t^7.389 + 6*t^7.611 + t^7.625 + 2*t^7.847 + 2*t^8.083 - 3*t^8.306 - 2*t^8.542 - 4*t^8.764 + 4*t^8.778 - t^4.153/y - (3*t^6.458)/y + (3*t^7.611)/y + (6*t^7.847)/y + (6*t^8.306)/y + (2*t^8.542)/y - (6*t^8.764)/y - t^4.153*y - 3*t^6.458*y + 3*t^7.611*y + 6*t^7.847*y + 6*t^8.306*y + 2*t^8.542*y - 6*t^8.764*y | (g1^2*t^2.306)/g2^10 + t^2.306/g2^4 + (g2^2*t^2.306)/g1^2 + g2^6*t^2.542 + (g1*t^3.)/g2^3 + (g2^3*t^3.)/g1 + g2^4*t^3.694 + g1*g2^5*t^4.389 + (g2^11*t^4.389)/g1 + (g1^4*t^4.611)/g2^20 + (g1^2*t^4.611)/g2^14 + (2*t^4.611)/g2^8 + t^4.611/(g1^2*g2^2) + (g2^4*t^4.611)/g1^4 + (g1^2*t^4.847)/g2^4 + 2*g2^2*t^4.847 + (g2^8*t^4.847)/g1^2 + g2^12*t^5.083 + (g1^3*t^5.306)/g2^13 + (g1*t^5.306)/g2^7 + t^5.306/(g1*g2) + (g2^5*t^5.306)/g1^3 + g1*g2^3*t^5.542 + (g2^9*t^5.542)/g1 - t^6. + (g1^2*t^6.)/g2^6 + (g2^6*t^6.)/g1^2 + g2^10*t^6.236 - (g1*t^6.458)/g2^9 - t^6.458/(g1*g2^3) + (g1^3*t^6.694)/g2^5 + g1*g2*t^6.694 + (g2^7*t^6.694)/g1 + (g2^13*t^6.694)/g1^3 + t^6.917/g1^4 + (g1^6*t^6.917)/g2^30 + (g1^4*t^6.917)/g2^24 + (2*g1^2*t^6.917)/g2^18 + (2*t^6.917)/g2^12 + (2*t^6.917)/(g1^2*g2^6) + (g2^6*t^6.917)/g1^6 + g1*g2^11*t^6.93 + (g2^17*t^6.93)/g1 + (g1^4*t^7.153)/g2^14 + (g1^2*t^7.153)/g2^8 + t^7.153/g2^2 + (g2^4*t^7.153)/g1^2 + (g2^10*t^7.153)/g1^4 + g1^2*g2^2*t^7.389 + 2*g2^8*t^7.389 + (g2^14*t^7.389)/g1^2 + (g1^5*t^7.611)/g2^23 + (g1^3*t^7.611)/g2^17 + (g1*t^7.611)/g2^11 + t^7.611/(g1*g2^5) + (g2*t^7.611)/g1^3 + (g2^7*t^7.611)/g1^5 + g2^18*t^7.625 + (g1^3*t^7.847)/g2^7 + (g2^11*t^7.847)/g1^3 + g1*g2^9*t^8.083 + (g2^15*t^8.083)/g1 + (g1^4*t^8.306)/g2^16 - (2*g1^2*t^8.306)/g2^10 - t^8.306/g2^4 - (2*g2^2*t^8.306)/g1^2 + (g2^8*t^8.306)/g1^4 - 2*g2^6*t^8.542 - (g1^3*t^8.764)/g2^19 - (g1*t^8.764)/g2^13 - t^8.764/(g1*g2^7) - t^8.764/(g1^3*g2) + g1^2*g2^10*t^8.778 + 2*g2^16*t^8.778 + (g2^22*t^8.778)/g1^2 - t^4.153/(g2^2*y) - t^6.458/(g1^2*y) - (g1^2*t^6.458)/(g2^12*y) - t^6.458/(g2^6*y) + (g1^2*t^7.611)/(g2^14*y) + t^7.611/(g2^8*y) + t^7.611/(g1^2*g2^2*y) + (2*g1^2*t^7.847)/(g2^4*y) + (2*g2^2*t^7.847)/y + (2*g2^8*t^7.847)/(g1^2*y) + (g1^3*t^8.306)/(g2^13*y) + (2*g1*t^8.306)/(g2^7*y) + (2*t^8.306)/(g1*g2*y) + (g2^5*t^8.306)/(g1^3*y) + (g1*g2^3*t^8.542)/y + (g2^9*t^8.542)/(g1*y) - (g1^4*t^8.764)/(g2^22*y) - (g1^2*t^8.764)/(g2^16*y) - (2*t^8.764)/(g2^10*y) - t^8.764/(g1^2*g2^4*y) - (g2^2*t^8.764)/(g1^4*y) - (t^4.153*y)/g2^2 - (t^6.458*y)/g1^2 - (g1^2*t^6.458*y)/g2^12 - (t^6.458*y)/g2^6 + (g1^2*t^7.611*y)/g2^14 + (t^7.611*y)/g2^8 + (t^7.611*y)/(g1^2*g2^2) + (2*g1^2*t^7.847*y)/g2^4 + 2*g2^2*t^7.847*y + (2*g2^8*t^7.847*y)/g1^2 + (g1^3*t^8.306*y)/g2^13 + (2*g1*t^8.306*y)/g2^7 + (2*t^8.306*y)/(g1*g2) + (g2^5*t^8.306*y)/g1^3 + g1*g2^3*t^8.542*y + (g2^9*t^8.542*y)/g1 - (g1^4*t^8.764*y)/g2^22 - (g1^2*t^8.764*y)/g2^16 - (2*t^8.764*y)/g2^10 - (t^8.764*y)/(g1^2*g2^4) - (g2^2*t^8.764*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 |
|---|---|---|---|---|---|---|---|---|
| 46574 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{5}$ | 0.6058 | 0.7557 | 0.8017 | [M:[1.0133, 0.9867, 0.742, 0.7954, 0.9867], q:[0.5765, 0.4101], qb:[0.4368, 1.0391], phi:[0.3844]] | t^2.226 + t^2.306 + t^2.386 + t^2.541 + 2*t^2.96 + t^3.694 + t^4.348 + t^4.428 + t^4.452 + t^4.532 + 2*t^4.612 + t^4.692 + t^4.767 + t^4.772 + 2*t^4.847 + t^4.927 + t^5.082 + 2*t^5.186 + t^5.266 + t^5.346 + 2*t^5.501 + 3*t^5.92 - 2*t^6. - t^4.153/y - t^4.153*y | detail | |
| 46430 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{3}^{2}$ | 0.5734 | 0.7245 | 0.7915 | [M:[0.9173, 1.0827, 1.0, 0.6692], q:[0.626, 0.4567], qb:[0.2913, 0.9567], phi:[0.4173]] | t^2.008 + t^2.244 + t^2.504 + t^2.752 + t^3. + t^3.248 + t^3.496 + t^3.744 + t^4.015 + t^4.24 + t^4.252 + t^4.489 + t^4.511 + 2*t^4.748 + t^4.76 + t^4.996 + 2*t^5.008 + t^5.244 + t^5.256 + t^5.492 + 2*t^5.504 + t^5.74 + 2*t^5.752 + t^5.989 - t^4.252/y - t^4.252*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46007 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5883 | 0.7268 | 0.8095 | [M:[1.0196, 0.9804, 0.7451], q:[0.5882, 0.3922], qb:[0.4314, 1.0196], phi:[0.3922]] | t^2.235 + t^2.353 + t^2.471 + t^2.941 + t^3.059 + t^3.529 + t^3.647 + t^4.235 + t^4.353 + t^4.471 + t^4.588 + 2*t^4.706 + 2*t^4.824 + t^4.941 + t^5.176 + t^5.294 + t^5.412 + t^5.529 + t^5.765 + 2*t^5.882 - t^4.176/y - t^4.176*y | detail | {a: 8161/13872, c: 5041/6936, M1: 52/51, M2: 50/51, M3: 38/51, q1: 10/17, q2: 20/51, qb1: 22/51, qb2: 52/51, phi1: 20/51} |