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 |
|---|---|---|---|---|---|---|---|---|---|
| 1323 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{3}M_{5}$ | 0.6917 | 0.8473 | 0.8164 | [M:[1.0, 1.0032, 0.9935, 0.987, 1.0065, 1.013], q:[0.513, 0.487], qb:[0.5, 0.5065], phi:[0.4984]] | [M:[[0], [2], [-4], [-8], [4], [8]], q:[[8], [-8]], qb:[[0], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{3}$ | ${}$ | -1 | t^2.961 + t^2.981 + t^3. + t^3.01 + t^3.019 + t^3.039 + t^3.058 + t^4.417 + t^4.456 + t^4.476 + 2*t^4.495 + t^4.515 + 2*t^4.534 + t^4.554 + t^4.573 + t^5.971 + t^5.99 - t^6. + t^6.01 + t^6.019 + t^6.029 + t^6.039 + t^6.049 + t^6.058 + t^6.068 + t^6.078 + t^6.097 + t^6.117 + t^7.378 + t^7.398 + t^7.417 + t^7.437 + 2*t^7.456 + 2*t^7.476 + 2*t^7.495 + 3*t^7.515 + 4*t^7.534 + 4*t^7.554 + 3*t^7.573 + 3*t^7.593 + 2*t^7.612 + t^7.632 + t^8.834 + t^8.873 + t^8.893 - t^8.903 + 2*t^8.912 - t^8.922 + t^8.932 - t^8.942 + 3*t^8.951 - 3*t^8.961 + 2*t^8.971 - 4*t^8.981 + 4*t^8.99 - t^4.495/y + t^8.942/y + t^8.961/y + t^8.971/y + (2*t^8.981)/y + t^8.99/y - t^4.495*y + t^8.942*y + t^8.961*y + t^8.971*y + 2*t^8.981*y + t^8.99*y | t^2.961/g1^8 + t^2.981/g1^4 + t^3. + g1^2*t^3.01 + g1^4*t^3.019 + g1^8*t^3.039 + g1^12*t^3.058 + t^4.417/g1^17 + t^4.456/g1^9 + t^4.476/g1^5 + (2*t^4.495)/g1 + g1^3*t^4.515 + 2*g1^7*t^4.534 + g1^11*t^4.554 + g1^15*t^4.573 + t^5.971/g1^6 + t^5.99/g1^2 - t^6. + g1^2*t^6.01 + g1^4*t^6.019 + g1^6*t^6.029 + g1^8*t^6.039 + g1^10*t^6.049 + g1^12*t^6.058 + g1^14*t^6.068 + g1^16*t^6.078 + g1^20*t^6.097 + g1^24*t^6.117 + t^7.378/g1^25 + t^7.398/g1^21 + t^7.417/g1^17 + t^7.437/g1^13 + (2*t^7.456)/g1^9 + (2*t^7.476)/g1^5 + (2*t^7.495)/g1 + 3*g1^3*t^7.515 + 4*g1^7*t^7.534 + 4*g1^11*t^7.554 + 3*g1^15*t^7.573 + 3*g1^19*t^7.593 + 2*g1^23*t^7.612 + g1^27*t^7.632 + t^8.834/g1^34 + t^8.873/g1^26 + t^8.893/g1^22 - t^8.903/g1^20 + (2*t^8.912)/g1^18 - t^8.922/g1^16 + t^8.932/g1^14 - t^8.942/g1^12 + (3*t^8.951)/g1^10 - (3*t^8.961)/g1^8 + (2*t^8.971)/g1^6 - (4*t^8.981)/g1^4 + (4*t^8.99)/g1^2 - t^4.495/(g1*y) + t^8.942/(g1^12*y) + t^8.961/(g1^8*y) + t^8.971/(g1^6*y) + (2*t^8.981)/(g1^4*y) + t^8.99/(g1^2*y) - (t^4.495*y)/g1 + (t^8.942*y)/g1^12 + (t^8.961*y)/g1^8 + (t^8.971*y)/g1^6 + (2*t^8.981*y)/g1^4 + (t^8.99*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2377 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{7}$ | 0.6917 | 0.8492 | 0.8144 | [M:[1.0, 0.9971, 1.0057, 1.0114, 0.9943, 0.9886, 0.9886], q:[0.4886, 0.5114], qb:[0.5, 0.4943], phi:[0.5014]] | t^2.949 + 2*t^2.966 + t^2.983 + t^2.991 + t^3. + t^3.017 + t^4.436 + t^4.453 + 2*t^4.47 + t^4.487 + 2*t^4.504 + t^4.521 + t^4.539 + t^4.573 + t^5.897 + 2*t^5.914 + 3*t^5.931 + t^5.94 + 2*t^5.949 + 2*t^5.957 + 2*t^5.966 + t^5.974 + t^5.983 + t^5.991 - 2*t^6. - t^4.504/y - t^4.504*y | detail | |
| 2373 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ | 0.6926 | 0.8483 | 0.8165 | [M:[1.0, 1.0063, 0.9874, 0.9748, 1.0126, 1.0252, 0.9874], q:[0.5252, 0.4748], qb:[0.5, 0.5126], phi:[0.4968]] | t^2.924 + 2*t^2.962 + t^3. + t^3.019 + t^3.076 + t^3.113 + t^4.339 + t^4.415 + t^4.453 + 2*t^4.491 + t^4.528 + 2*t^4.566 + t^4.604 + t^4.642 + t^5.887 + 2*t^5.924 + t^5.943 + 2*t^5.981 - 2*t^6. - t^4.491/y - t^4.491*y | detail | |
| 2374 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ | 0.6941 | 0.8506 | 0.816 | [M:[1.0, 1.0093, 0.9814, 0.9628, 1.0186, 1.0372, 0.9628], q:[0.5372, 0.4628], qb:[0.5, 0.5186], phi:[0.4954]] | 2*t^2.888 + t^2.944 + t^3. + t^3.028 + t^3.056 + t^3.167 + t^4.263 + t^4.374 + t^4.43 + 2*t^4.486 + t^4.542 + 2*t^4.598 + t^4.653 + t^4.709 + 2*t^5.777 + t^5.833 + t^5.888 + 2*t^5.916 + t^5.944 + t^5.972 - 2*t^6. - t^4.486/y - t^4.486*y | detail | |
| 2376 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.5697 | 0.7113 | 0.8008 | [M:[1.0, 1.0667, 0.8667, 0.7333, 1.1333, 1.2667], q:[0.7667, 0.2333], qb:[0.5, 0.6333], phi:[0.4667]] | t^2.2 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + t^4.8 + t^5. + 2*t^5.2 + 2*t^5.4 + 2*t^5.6 + 2*t^5.8 - t^4.4/y - t^4.4*y | detail | {a: 1709/3000, c: 1067/1500, M1: 1, M2: 16/15, M3: 13/15, M4: 11/15, M5: 17/15, M6: 19/15, q1: 23/30, q2: 7/30, qb1: 1/2, qb2: 19/30, phi1: 7/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 834 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ | 0.7146 | 0.8745 | 0.8171 | [M:[1.0, 1.0767, 0.8466, 1.0202, 0.8264, 0.9798], q:[0.4798, 0.5202], qb:[0.5, 0.6534], phi:[0.4617]] | t^2.479 + t^2.54 + t^2.939 + t^3. + t^3.061 + t^3.23 + t^3.399 + t^4.264 + t^4.324 + 2*t^4.385 + t^4.446 + t^4.506 + t^4.784 + t^4.845 + t^4.906 + t^4.958 + t^5.019 + t^5.08 + t^5.305 + t^5.418 + t^5.479 + t^5.54 + t^5.709 + t^5.77 + t^5.879 - 2*t^6. - t^4.385/y - t^4.385*y | detail |