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 |
|---|---|---|---|---|---|---|---|---|---|
| 46905 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ | 0.7198 | 0.8904 | 0.8084 | [M:[1.0, 1.0, 0.8691, 0.8691, 0.8037, 1.0654], q:[0.5327, 0.4673], qb:[0.4673, 0.6636], phi:[0.4673]] | [M:[[1, 1], [-1, -1], [-1, -5], [1, -3], [0, -6], [0, 2]], q:[[0, 1], [-1, -2]], qb:[[1, 0], [0, 5]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}^{2}$ | ${}M_{1}^{2}$, ${ }M_{2}^{2}$ | -2 | t^2.411 + 2*t^2.607 + t^2.804 + 2*t^3. + t^3.196 + 3*t^4.206 + 2*t^4.402 + t^4.598 + 2*t^4.794 + t^4.822 + t^4.991 + 2*t^5.018 + 4*t^5.215 + t^5.383 + 2*t^5.411 + 5*t^5.607 + 2*t^5.804 - 2*t^6. - t^6.393 - 2*t^6.589 + 3*t^6.617 + 6*t^6.813 + 7*t^7.009 + 8*t^7.206 + t^7.233 + 4*t^7.402 + 2*t^7.43 + 2*t^7.598 + 4*t^7.626 + 6*t^7.822 + 5*t^8.018 + 6*t^8.215 + 4*t^8.411 - 2*t^8.607 - 3*t^8.804 - t^4.402/y - t^6.813/y - (2*t^7.009)/y + (2*t^7.794)/y + t^7.991/y + (2*t^8.018)/y + (2*t^8.215)/y + (4*t^8.411)/y + (5*t^8.607)/y + (4*t^8.804)/y - t^4.402*y - t^6.813*y - 2*t^7.009*y + 2*t^7.794*y + t^7.991*y + 2*t^8.018*y + 2*t^8.215*y + 4*t^8.411*y + 5*t^8.607*y + 4*t^8.804*y | t^2.411/g2^6 + t^2.607/(g1*g2^5) + (g1*t^2.607)/g2^3 + t^2.804/g2^2 + t^3./(g1*g2) + g1*g2*t^3. + g2^2*t^3.196 + t^4.206/(g1^2*g2^5) + t^4.206/g2^3 + (g1^2*t^4.206)/g2 + g1*t^4.402 + t^4.402/(g1*g2^2) + g2*t^4.598 + (g2^2*t^4.794)/g1 + g1*g2^4*t^4.794 + t^4.822/g2^12 + g2^5*t^4.991 + t^5.018/(g1*g2^11) + (g1*t^5.018)/g2^9 + t^5.215/(g1^2*g2^10) + (2*t^5.215)/g2^8 + (g1^2*t^5.215)/g2^6 + g2^9*t^5.383 + t^5.411/(g1*g2^7) + (g1*t^5.411)/g2^5 + t^5.607/(g1^2*g2^6) + (3*t^5.607)/g2^4 + (g1^2*t^5.607)/g2^2 + t^5.804/(g1*g2^3) + (g1*t^5.804)/g2 - 2*t^6. - g2^4*t^6.393 - (g2^5*t^6.589)/g1 - g1*g2^7*t^6.589 + t^6.617/(g1^2*g2^11) + t^6.617/g2^9 + (g1^2*t^6.617)/g2^7 + t^6.813/(g1^3*g2^10) + (2*t^6.813)/(g1*g2^8) + (2*g1*t^6.813)/g2^6 + (g1^3*t^6.813)/g2^4 + (2*t^7.009)/(g1^2*g2^7) + (3*t^7.009)/g2^5 + (2*g1^2*t^7.009)/g2^3 + g1^3*t^7.206 + t^7.206/(g1^3*g2^6) + (3*t^7.206)/(g1*g2^4) + (3*g1*t^7.206)/g2^2 + t^7.233/g2^18 + t^7.402/(g1^2*g2^3) + (2*t^7.402)/g2 + g1^2*g2*t^7.402 + t^7.43/(g1*g2^17) + (g1*t^7.43)/g2^15 + t^7.598/g1 + g1*g2^2*t^7.598 + t^7.626/(g1^2*g2^16) + (2*t^7.626)/g2^14 + (g1^2*t^7.626)/g2^12 + t^7.822/(g1^3*g2^15) + (2*t^7.822)/(g1*g2^13) + (2*g1*t^7.822)/g2^11 + (g1^3*t^7.822)/g2^9 + t^8.018/(g1^2*g2^12) + (3*t^8.018)/g2^10 + (g1^2*t^8.018)/g2^8 + t^8.215/(g1^3*g2^11) + (2*t^8.215)/(g1*g2^9) + (2*g1*t^8.215)/g2^7 + (g1^3*t^8.215)/g2^5 + t^8.411/(g1^4*g2^10) + t^8.411/(g1^2*g2^8) + (g1^2*t^8.411)/g2^4 + (g1^4*t^8.411)/g2^2 + t^8.607/(g1^3*g2^7) - (2*t^8.607)/(g1*g2^5) - (2*g1*t^8.607)/g2^3 + (g1^3*t^8.607)/g2 - (3*t^8.804)/g2^2 - t^4.402/(g2*y) - t^6.813/(g2^7*y) - t^7.009/(g1*g2^6*y) - (g1*t^7.009)/(g2^4*y) + (g2^2*t^7.794)/(g1*y) + (g1*g2^4*t^7.794)/y + (g2^5*t^7.991)/y + t^8.018/(g1*g2^11*y) + (g1*t^8.018)/(g2^9*y) + (2*t^8.215)/(g2^8*y) + (2*t^8.411)/(g1*g2^7*y) + (2*g1*t^8.411)/(g2^5*y) + t^8.607/(g1^2*g2^6*y) + (3*t^8.607)/(g2^4*y) + (g1^2*t^8.607)/(g2^2*y) + (2*t^8.804)/(g1*g2^3*y) + (2*g1*t^8.804)/(g2*y) - (t^4.402*y)/g2 - (t^6.813*y)/g2^7 - (t^7.009*y)/(g1*g2^6) - (g1*t^7.009*y)/g2^4 + (g2^2*t^7.794*y)/g1 + g1*g2^4*t^7.794*y + g2^5*t^7.991*y + (t^8.018*y)/(g1*g2^11) + (g1*t^8.018*y)/g2^9 + (2*t^8.215*y)/g2^8 + (2*t^8.411*y)/(g1*g2^7) + (2*g1*t^8.411*y)/g2^5 + (t^8.607*y)/(g1^2*g2^6) + (3*t^8.607*y)/g2^4 + (g1^2*t^8.607*y)/g2^2 + (2*t^8.804*y)/(g1*g2^3) + (2*g1*t^8.804*y)/g2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55211 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{7}$ | 0.7209 | 0.8929 | 0.8074 | [M:[0.9769, 1.0231, 0.8926, 0.8464, 0.8043, 1.0652, 0.9769], q:[0.5326, 0.4905], qb:[0.4443, 0.6631], phi:[0.4674]] | t^2.413 + t^2.539 + t^2.678 + t^2.804 + 2*t^2.931 + t^3.196 + t^4.068 + t^4.206 + t^4.333 + t^4.345 + t^4.472 + t^4.598 + t^4.724 + t^4.826 + t^4.863 + t^4.952 + t^4.989 + t^5.078 + t^5.091 + 2*t^5.217 + 2*t^5.343 + t^5.356 + t^5.381 + 2*t^5.47 + 3*t^5.609 + 2*t^5.735 + 2*t^5.861 - 3*t^6. - t^4.402/y - t^4.402*y | detail | |
| 54502 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}M_{5}$ | 0.6951 | 0.8532 | 0.8147 | [M:[0.9573, 1.0427, 1.0256, 0.9402, 0.9744, 1.0085], q:[0.5043, 0.5384], qb:[0.453, 0.5214], phi:[0.4957]] | t^2.821 + t^2.872 + t^2.923 + t^2.974 + t^3.026 + t^3.077 + t^3.128 + t^4.205 + t^4.359 + t^4.41 + t^4.462 + t^4.513 + t^4.564 + 2*t^4.615 + t^4.667 + t^4.718 + t^5.641 + t^5.692 + t^5.744 + t^5.795 + 2*t^5.846 + 2*t^5.897 + 2*t^5.949 - t^6. - t^4.487/y - t^4.487*y | detail | |
| 55098 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{6}M_{7}$ | 0.7262 | 0.9027 | 0.8045 | [M:[1.0, 1.0, 0.8561, 0.8561, 0.7842, 1.0719, 0.9281], q:[0.536, 0.464], qb:[0.464, 0.6798], phi:[0.464]] | t^2.353 + 2*t^2.568 + 2*t^2.784 + 2*t^3. + 3*t^4.176 + 2*t^4.392 + t^4.608 + t^4.705 + 2*t^4.824 + 2*t^4.921 + t^5.039 + 5*t^5.137 + 4*t^5.353 + t^5.471 + 6*t^5.568 + 2*t^5.784 - 3*t^6. - t^4.392/y - t^4.392*y | detail | |
| 55160 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.7141 | 0.8795 | 0.8119 | [M:[1.0, 1.0, 0.8824, 0.8824, 0.8237, 1.0588, 1.0588], q:[0.5294, 0.4706], qb:[0.4706, 0.6469], phi:[0.4706]] | t^2.471 + 2*t^2.647 + 2*t^3. + 2*t^3.176 + 3*t^4.236 + 2*t^4.412 + t^4.588 + 2*t^4.764 + t^4.941 + t^4.942 + 2*t^5.118 + t^5.293 + 3*t^5.295 + 5*t^5.647 + 2*t^5.824 - 3*t^6. - t^4.412/y - t^4.412*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46403 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.7284 | 0.9028 | 0.8068 | [M:[0.9169, 0.9169, 0.9169, 0.9169, 0.7506, 1.0831], q:[0.6247, 0.4584], qb:[0.4584, 0.6247], phi:[0.4584]] | t^2.252 + 5*t^2.751 + t^3.249 + 3*t^4.126 + t^4.503 + 4*t^4.625 + 5*t^5.002 + 3*t^5.124 + 12*t^5.501 - 3*t^6. - t^4.375/y - t^4.375*y | detail |