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 |
|---|---|---|---|---|---|---|---|---|---|
| 532 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ | 0.6998 | 0.8569 | 0.8166 | [M:[0.9424, 1.0288, 1.0, 1.0576, 0.8849], q:[0.4843, 0.5732], qb:[0.4581, 0.5419], phi:[0.4856]] | [M:[[-4, -4], [2, 2], [0, 0], [4, 4], [-8, -8]], q:[[-4, 4], [8, 0]], qb:[[0, -8], [0, 8]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{2}$ | ${}$ | -2 | t^2.655 + t^2.827 + t^3. + t^3.079 + t^3.086 + t^3.094 + t^3.173 + t^4.206 + t^4.284 + t^4.363 + t^4.457 + t^4.535 + t^4.551 + t^4.629 + t^4.708 + t^4.802 + t^4.896 + t^5.309 + t^5.482 + t^5.655 + t^5.741 + t^5.827 + t^5.914 - 2*t^6. + t^6.086 + t^6.157 + t^6.165 + t^6.173 + t^6.18 + t^6.188 + t^6.259 + t^6.86 + t^6.939 + t^7.018 + t^7.033 + t^7.112 + t^7.19 + t^7.206 + 2*t^7.284 + t^7.3 + 2*t^7.363 + t^7.378 + t^7.441 + t^7.457 + 2*t^7.535 + t^7.551 + t^7.614 + t^7.629 + t^7.645 + t^7.708 + t^7.723 + t^7.787 + t^7.802 + t^7.881 + t^7.896 + t^7.964 + t^7.975 + t^7.99 + t^8.069 + t^8.137 + t^8.309 + t^8.396 + t^8.411 + t^8.482 + t^8.49 + 2*t^8.568 - t^8.576 + t^8.647 - 2*t^8.655 + t^8.662 + t^8.726 - t^8.733 + 2*t^8.741 - t^8.749 + t^8.756 + t^8.82 - 3*t^8.827 + t^8.835 + t^8.898 - 2*t^8.906 + 3*t^8.914 - t^8.921 + 2*t^8.992 - t^4.457/y - t^7.112/y + t^7.802/y + t^8.482/y + t^8.655/y + t^8.733/y + t^8.741/y + t^8.749/y + (2*t^8.827)/y + t^8.906/y + t^8.914/y + t^8.921/y - t^4.457*y - t^7.112*y + t^7.802*y + t^8.482*y + t^8.655*y + t^8.733*y + t^8.741*y + t^8.749*y + 2*t^8.827*y + t^8.906*y + t^8.914*y + t^8.921*y | t^2.655/(g1^8*g2^8) + t^2.827/(g1^4*g2^4) + t^3. + (g2^12*t^3.079)/g1^4 + g1^2*g2^2*t^3.086 + (g1^8*t^3.094)/g2^8 + g1^4*g2^4*t^3.173 + t^4.206/(g1*g2^17) + t^4.284/(g1^5*g2^5) + (g2^7*t^4.363)/g1^9 + t^4.457/(g1*g2) + (g2^11*t^4.535)/g1^5 + (g1^7*t^4.551)/g2^9 + g1^3*g2^3*t^4.629 + (g2^15*t^4.708)/g1 + g1^7*g2^7*t^4.802 + (g1^15*t^4.896)/g2 + t^5.309/(g1^16*g2^16) + t^5.482/(g1^12*g2^12) + t^5.655/(g1^8*g2^8) + t^5.741/(g1^6*g2^6) + t^5.827/(g1^4*g2^4) + t^5.914/(g1^2*g2^2) - 2*t^6. + g1^2*g2^2*t^6.086 + (g2^24*t^6.157)/g1^8 + (g2^14*t^6.165)/g1^2 + g1^4*g2^4*t^6.173 + (g1^10*t^6.18)/g2^6 + (g1^16*t^6.188)/g2^16 + g1^6*g2^6*t^6.259 + t^6.86/(g1^9*g2^25) + t^6.939/(g1^13*g2^13) + t^7.018/(g1^17*g2) + t^7.033/(g1^5*g2^21) + t^7.112/(g1^9*g2^9) + (g2^3*t^7.19)/g1^13 + t^7.206/(g1*g2^17) + (2*t^7.284)/(g1^5*g2^5) + (g1^7*t^7.3)/g2^25 + (2*g2^7*t^7.363)/g1^9 + (g1^3*t^7.378)/g2^13 + (g2^19*t^7.441)/g1^13 + t^7.457/(g1*g2) + (2*g2^11*t^7.535)/g1^5 + (g1^7*t^7.551)/g2^9 + (g2^23*t^7.614)/g1^9 + g1^3*g2^3*t^7.629 + (g1^15*t^7.645)/g2^17 + (g2^15*t^7.708)/g1 + (g1^11*t^7.723)/g2^5 + (g2^27*t^7.787)/g1^5 + g1^7*g2^7*t^7.802 + g1^3*g2^19*t^7.881 + (g1^15*t^7.896)/g2 + t^7.964/(g1^24*g2^24) + g1^11*g2^11*t^7.975 + (g1^23*t^7.99)/g2^9 + g1^19*g2^3*t^8.069 + t^8.137/(g1^20*g2^20) + t^8.309/(g1^16*g2^16) + t^8.396/(g1^14*g2^14) + t^8.411/(g1^2*g2^34) + t^8.482/(g1^12*g2^12) + t^8.49/(g1^6*g2^22) + (2*t^8.568)/(g1^10*g2^10) - t^8.576/(g1^4*g2^20) + (g2^2*t^8.647)/g1^14 - (2*t^8.655)/(g1^8*g2^8) + t^8.662/(g1^2*g2^18) + (g2^14*t^8.726)/g1^18 - (g2^4*t^8.733)/g1^12 + (2*t^8.741)/(g1^6*g2^6) - t^8.749/g2^16 + (g1^6*t^8.756)/g2^26 + (g2^6*t^8.82)/g1^10 - (3*t^8.827)/(g1^4*g2^4) + (g1^2*t^8.835)/g2^14 + (g2^18*t^8.898)/g1^14 - (2*g2^8*t^8.906)/g1^8 + (3*t^8.914)/(g1^2*g2^2) - (g1^4*t^8.921)/g2^12 + (2*g2^10*t^8.992)/g1^6 - t^4.457/(g1*g2*y) - t^7.112/(g1^9*g2^9*y) + (g1^7*g2^7*t^7.802)/y + t^8.482/(g1^12*g2^12*y) + t^8.655/(g1^8*g2^8*y) + (g2^4*t^8.733)/(g1^12*y) + t^8.741/(g1^6*g2^6*y) + t^8.749/(g2^16*y) + (2*t^8.827)/(g1^4*g2^4*y) + (g2^8*t^8.906)/(g1^8*y) + t^8.914/(g1^2*g2^2*y) + (g1^4*t^8.921)/(g2^12*y) - (t^4.457*y)/(g1*g2) - (t^7.112*y)/(g1^9*g2^9) + g1^7*g2^7*t^7.802*y + (t^8.482*y)/(g1^12*g2^12) + (t^8.655*y)/(g1^8*g2^8) + (g2^4*t^8.733*y)/g1^12 + (t^8.741*y)/(g1^6*g2^6) + (t^8.749*y)/g2^16 + (2*t^8.827*y)/(g1^4*g2^4) + (g2^8*t^8.906*y)/g1^8 + (t^8.914*y)/(g1^2*g2^2) + (g1^4*t^8.921*y)/g2^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 828 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ | 0.7059 | 0.868 | 0.8133 | [M:[0.9254, 1.0373, 1.0, 1.0746, 0.8508, 0.9254], q:[0.4792, 0.5954], qb:[0.4462, 0.5538], phi:[0.4814]] | t^2.552 + 2*t^2.776 + t^3. + t^3.099 + t^3.112 + t^3.125 + t^4.121 + t^4.22 + t^4.319 + t^4.444 + t^4.543 + t^4.569 + t^4.668 + t^4.767 + t^4.892 + t^5.017 + t^5.105 + 2*t^5.329 + 3*t^5.552 + t^5.664 + t^5.776 + t^5.875 + 2*t^5.888 + t^5.901 - 3*t^6. - t^4.444/y - t^4.444*y | detail | |
| 1874 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ | 0.5536 | 0.6786 | 0.8158 | [X:[1.5714], M:[0.7143, 1.1429, 1.0, 1.2857, 0.4286], q:[0.3929, 0.8929], qb:[0.3214, 0.6786], phi:[0.4286]] | t^2.143 + t^3. + 2*t^3.214 + 2*t^3.429 + 2*t^3.643 + t^3.857 + t^4.286 + t^4.714 + t^5.143 + 2*t^5.357 + t^5.571 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 12153/21952, c: 14897/21952, X1: 11/7, M1: 5/7, M2: 8/7, M3: 1, M4: 9/7, M5: 3/7, q1: 11/28, q2: 25/28, qb1: 9/28, qb2: 19/28, phi1: 3/7} |
| 1875 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6608 | 0.8195 | 0.8064 | [M:[0.8455, 1.0772, 1.0, 1.1545, 0.6911], q:[0.3852, 0.7693], qb:[0.4604, 0.5396], phi:[0.4614]] | t^2.073 + t^2.537 + t^2.774 + t^3. + t^3.232 + t^3.463 + t^3.689 + t^3.695 + t^3.921 + 2*t^4.146 + t^4.158 + t^4.384 + t^4.61 + t^4.622 + t^4.848 + 2*t^5.073 + t^5.305 + t^5.311 + t^5.537 + t^5.549 + 2*t^5.768 + t^5.994 - t^6. - t^4.384/y - t^4.384*y | detail | |
| 1876 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.5917 | 0.7504 | 0.7885 | [M:[0.8433, 1.0783, 1.0, 1.1567, 0.6867], q:[0.6129, 0.5438], qb:[0.2304, 0.7696], phi:[0.4608]] | t^2.06 + t^2.323 + t^2.53 + t^2.765 + t^3. + t^3.235 + t^3.47 + t^3.705 + t^3.912 + t^4.12 + t^4.147 + t^4.382 + t^4.59 + 2*t^4.645 + t^4.825 + t^4.853 + 2*t^5.06 + t^5.088 + 2*t^5.295 + t^5.323 + 3*t^5.53 + t^5.558 + 2*t^5.765 + t^5.972 - t^6. - t^4.382/y - t^4.382*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 |
|---|---|---|---|---|---|---|---|---|---|
| 337 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ | 0.7289 | 0.8891 | 0.8198 | [M:[0.7491, 1.1255, 1.0, 0.8745, 0.8745], q:[0.6255, 0.6255], qb:[0.5, 0.5], phi:[0.4373]] | t^2.247 + 2*t^2.624 + t^3. + 3*t^3.376 + 3*t^4.312 + t^4.494 + 4*t^4.688 + 2*t^4.871 + 3*t^5.065 + 4*t^5.247 + t^5.624 - t^6. - t^4.312/y - t^4.312*y | detail |