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 |
|---|---|---|---|---|---|---|---|---|---|
| 5483 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ | 0.7 | 0.8987 | 0.7789 | [M:[0.8247, 1.0584, 1.1753, 0.7078, 0.7045, 1.0618, 0.7012, 0.9416], q:[0.4107, 0.7646], qb:[0.414, 0.5276], phi:[0.4708]] | [M:[[-12], [4], [12], [-20], [14], [-30], [48], [-4]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{7}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{8}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{1}^{2}$ | ${}M_{4}\phi_{1}q_{1}^{2}$ | -1 | t^2.104 + t^2.114 + t^2.124 + t^2.474 + 2*t^2.825 + t^3.185 + t^3.526 + t^3.536 + t^3.876 + t^4.207 + t^4.217 + 3*t^4.227 + 2*t^4.237 + t^4.247 + 2*t^4.578 + t^4.588 + t^4.598 + 2*t^4.928 + 2*t^4.938 + 3*t^4.948 + t^5.289 + 3*t^5.299 + t^5.309 + t^5.629 + 2*t^5.639 + 4*t^5.649 + t^5.659 + t^5.98 - t^6. + 2*t^6.01 + t^6.311 + t^6.321 + 3*t^6.331 + 3*t^6.341 + 4*t^6.351 + 3*t^6.361 + 2*t^6.371 + 2*t^6.681 + 2*t^6.691 + 4*t^6.701 + t^6.711 + 2*t^6.721 + 2*t^7.032 + 2*t^7.042 + 6*t^7.052 + 4*t^7.062 + 2*t^7.072 + t^7.392 + 4*t^7.402 + 2*t^7.412 + 3*t^7.422 + t^7.432 + t^7.733 + 2*t^7.743 + 4*t^7.753 + 5*t^7.763 + 5*t^7.773 + t^7.783 + t^8.084 - t^8.114 + t^8.124 + 2*t^8.134 + t^8.414 + t^8.424 + 3*t^8.434 + 3*t^8.444 + 6*t^8.454 + 3*t^8.464 + 6*t^8.474 + 4*t^8.484 + 2*t^8.494 + 2*t^8.785 + 2*t^8.795 + 6*t^8.805 + 2*t^8.815 - t^8.825 + 4*t^8.835 + 2*t^8.845 - t^4.412/y - t^6.516/y - t^6.526/y - t^6.536/y + t^7.217/y + (2*t^7.227)/y + t^7.578/y + (2*t^7.588)/y + (2*t^7.928)/y + (2*t^7.938)/y + (2*t^7.948)/y + (2*t^8.289)/y + (4*t^8.299)/y + (2*t^8.309)/y - t^8.619/y + (2*t^8.649)/y + t^8.659/y + t^8.98/y + t^8.99/y - t^4.412*y - t^6.516*y - t^6.526*y - t^6.536*y + t^7.217*y + 2*t^7.227*y + t^7.578*y + 2*t^7.588*y + 2*t^7.928*y + 2*t^7.938*y + 2*t^7.948*y + 2*t^8.289*y + 4*t^8.299*y + 2*t^8.309*y - t^8.619*y + 2*t^8.649*y + t^8.659*y + t^8.98*y + t^8.99*y | g1^48*t^2.104 + g1^14*t^2.114 + t^2.124/g1^20 + t^2.474/g1^12 + (2*t^2.825)/g1^4 + t^3.185/g1^30 + g1^12*t^3.526 + t^3.536/g1^22 + g1^20*t^3.876 + g1^96*t^4.207 + g1^62*t^4.217 + 3*g1^28*t^4.227 + (2*t^4.237)/g1^6 + t^4.247/g1^40 + 2*g1^36*t^4.578 + g1^2*t^4.588 + t^4.598/g1^32 + 2*g1^44*t^4.928 + 2*g1^10*t^4.938 + (3*t^4.948)/g1^24 + g1^18*t^5.289 + (3*t^5.299)/g1^16 + t^5.309/g1^50 + g1^60*t^5.629 + 2*g1^26*t^5.639 + (4*t^5.649)/g1^8 + t^5.659/g1^42 + g1^68*t^5.98 - t^6. + (2*t^6.01)/g1^34 + g1^144*t^6.311 + g1^110*t^6.321 + 3*g1^76*t^6.331 + 3*g1^42*t^6.341 + 4*g1^8*t^6.351 + (3*t^6.361)/g1^26 + (2*t^6.371)/g1^60 + 2*g1^84*t^6.681 + 2*g1^50*t^6.691 + 4*g1^16*t^6.701 + t^6.711/g1^18 + (2*t^6.721)/g1^52 + 2*g1^92*t^7.032 + 2*g1^58*t^7.042 + 6*g1^24*t^7.052 + (4*t^7.062)/g1^10 + (2*t^7.072)/g1^44 + g1^66*t^7.392 + 4*g1^32*t^7.402 + (2*t^7.412)/g1^2 + (3*t^7.422)/g1^36 + t^7.432/g1^70 + g1^108*t^7.733 + 2*g1^74*t^7.743 + 4*g1^40*t^7.753 + 5*g1^6*t^7.763 + (5*t^7.773)/g1^28 + t^7.783/g1^62 + g1^116*t^8.084 - g1^14*t^8.114 + t^8.124/g1^20 + (2*t^8.134)/g1^54 + g1^192*t^8.414 + g1^158*t^8.424 + 3*g1^124*t^8.434 + 3*g1^90*t^8.444 + 6*g1^56*t^8.454 + 3*g1^22*t^8.464 + (6*t^8.474)/g1^12 + (4*t^8.484)/g1^46 + (2*t^8.494)/g1^80 + 2*g1^132*t^8.785 + 2*g1^98*t^8.795 + 6*g1^64*t^8.805 + 2*g1^30*t^8.815 - t^8.825/g1^4 + (4*t^8.835)/g1^38 + (2*t^8.845)/g1^72 - t^4.412/(g1^2*y) - (g1^46*t^6.516)/y - (g1^12*t^6.526)/y - t^6.536/(g1^22*y) + (g1^62*t^7.217)/y + (2*g1^28*t^7.227)/y + (g1^36*t^7.578)/y + (2*g1^2*t^7.588)/y + (2*g1^44*t^7.928)/y + (2*g1^10*t^7.938)/y + (2*t^7.948)/(g1^24*y) + (2*g1^18*t^8.289)/y + (4*t^8.299)/(g1^16*y) + (2*t^8.309)/(g1^50*y) - (g1^94*t^8.619)/y + (2*t^8.649)/(g1^8*y) + t^8.659/(g1^42*y) + (g1^68*t^8.98)/y + (g1^34*t^8.99)/y - (t^4.412*y)/g1^2 - g1^46*t^6.516*y - g1^12*t^6.526*y - (t^6.536*y)/g1^22 + g1^62*t^7.217*y + 2*g1^28*t^7.227*y + g1^36*t^7.578*y + 2*g1^2*t^7.588*y + 2*g1^44*t^7.928*y + 2*g1^10*t^7.938*y + (2*t^7.948*y)/g1^24 + 2*g1^18*t^8.289*y + (4*t^8.299*y)/g1^16 + (2*t^8.309*y)/g1^50 - g1^94*t^8.619*y + (2*t^8.649*y)/g1^8 + (t^8.659*y)/g1^42 + g1^68*t^8.98*y + g1^34*t^8.99*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 6927 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{5}M_{7}$ + ${ }M_{4}X_{1}$ | 0.5552 | 0.7105 | 0.7815 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 0.8387, 0.7742, 1.1613, 0.9032], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | t^2.129 + t^2.323 + t^2.516 + 2*t^2.71 + t^2.903 + t^3.484 + t^3.871 + t^4.065 + t^4.258 + 2*t^4.452 + 2*t^4.645 + 3*t^4.839 + 4*t^5.032 + 3*t^5.226 + 3*t^5.419 + 3*t^5.613 - t^6. - t^4.355/y - t^4.355*y | detail | {a: 264657/476656, c: 169327/238328, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 26/31, M6: 24/31, M7: 36/31, M8: 28/31, q1: 16/31, q2: 24/31, qb1: 6/31, qb2: 22/31, phi1: 14/31} |
| 6926 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{4}X_{1}$ | 0.6234 | 0.7874 | 0.7916 | [X:[1.4167], M:[0.75, 1.0833, 1.25, 0.5833, 0.7917, 0.875, 1.0, 0.9167], q:[0.4792, 0.7708], qb:[0.2708, 0.6458], phi:[0.4583]] | t^2.25 + t^2.375 + t^2.625 + 2*t^2.75 + t^3. + t^3.125 + t^3.75 + t^4.125 + 2*t^4.25 + t^4.5 + t^4.625 + 2*t^4.75 + 3*t^5. + 2*t^5.125 + 3*t^5.25 + 3*t^5.375 + 3*t^5.5 + t^5.625 + 3*t^5.75 + t^5.875 - t^6. - t^4.375/y - t^4.375*y | detail | {a: 10213/16384, c: 12901/16384, X1: 17/12, M1: 3/4, M2: 13/12, M3: 5/4, M4: 7/12, M5: 19/24, M6: 7/8, M7: 1, M8: 11/12, q1: 23/48, q2: 37/48, qb1: 13/48, qb2: 31/48, phi1: 11/24} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3905 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6946 | 0.8898 | 0.7806 | [M:[0.8261, 1.058, 1.1739, 0.7101, 0.7029, 1.0651, 0.6958], q:[0.4095, 0.7645], qb:[0.4166, 0.5254], phi:[0.471]] | t^2.087 + t^2.109 + t^2.13 + t^2.478 + t^2.826 + t^3.174 + t^3.195 + t^3.522 + t^3.543 + t^3.87 + t^4.175 + t^4.196 + 3*t^4.218 + 2*t^4.239 + t^4.261 + 2*t^4.566 + t^4.587 + t^4.608 + t^4.913 + t^4.935 + 2*t^4.956 + t^5.261 + 2*t^5.283 + 3*t^5.304 + t^5.326 + t^5.609 + 2*t^5.631 + 3*t^5.652 + t^5.674 + t^5.957 - t^4.413/y - t^4.413*y | detail |