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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [M:[[-12], [4], [12], [-20], [14], [-30], [48]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{1}^{2}$ | ${}M_{4}\phi_{1}q_{1}^{2}$ | 0 | 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^6.021 + t^6.262 + t^6.284 + 3*t^6.305 + 3*t^6.326 + 4*t^6.348 + 3*t^6.369 + 2*t^6.391 + 2*t^6.653 + 2*t^6.674 + 4*t^6.696 + 2*t^6.717 + 2*t^6.739 + t^7.001 + t^7.022 + 4*t^7.044 + 2*t^7.065 + t^7.087 + t^7.349 + 2*t^7.37 + 5*t^7.392 + 3*t^7.413 + 3*t^7.434 + t^7.456 + t^7.697 + 2*t^7.718 + 4*t^7.739 + 4*t^7.761 + 3*t^7.782 + t^7.804 + t^8.045 + t^8.087 - t^8.109 + t^8.152 + t^8.35 + t^8.371 + 3*t^8.392 + 3*t^8.414 + 6*t^8.435 + 3*t^8.457 + 5*t^8.478 + 4*t^8.5 + 2*t^8.521 + 2*t^8.74 + 2*t^8.762 + 6*t^8.783 + 4*t^8.805 + 3*t^8.826 + 3*t^8.847 + 2*t^8.869 - t^4.413/y - t^6.5/y - t^6.522/y - t^6.543/y + t^7.196/y + (2*t^7.218)/y + t^7.239/y + t^7.566/y + t^7.587/y + t^7.913/y + t^7.935/y + t^7.956/y + t^8.261/y + (3*t^8.283)/y + (4*t^8.304)/y + (2*t^8.326)/y - t^8.588/y + (2*t^8.652)/y + t^8.674/y + t^8.957/y + t^8.979/y - t^4.413*y - t^6.5*y - t^6.522*y - t^6.543*y + t^7.196*y + 2*t^7.218*y + t^7.239*y + t^7.566*y + t^7.587*y + t^7.913*y + t^7.935*y + t^7.956*y + t^8.261*y + 3*t^8.283*y + 4*t^8.304*y + 2*t^8.326*y - t^8.588*y + 2*t^8.652*y + t^8.674*y + t^8.957*y + t^8.979*y | g1^48*t^2.087 + g1^14*t^2.109 + t^2.13/g1^20 + t^2.478/g1^12 + t^2.826/g1^4 + g1^4*t^3.174 + t^3.195/g1^30 + g1^12*t^3.522 + t^3.543/g1^22 + g1^20*t^3.87 + g1^96*t^4.175 + g1^62*t^4.196 + 3*g1^28*t^4.218 + (2*t^4.239)/g1^6 + t^4.261/g1^40 + 2*g1^36*t^4.566 + g1^2*t^4.587 + t^4.608/g1^32 + g1^44*t^4.913 + g1^10*t^4.935 + (2*t^4.956)/g1^24 + g1^52*t^5.261 + 2*g1^18*t^5.283 + (3*t^5.304)/g1^16 + t^5.326/g1^50 + g1^60*t^5.609 + 2*g1^26*t^5.631 + (3*t^5.652)/g1^8 + t^5.674/g1^42 + g1^68*t^5.957 + t^6.021/g1^34 + g1^144*t^6.262 + g1^110*t^6.284 + 3*g1^76*t^6.305 + 3*g1^42*t^6.326 + 4*g1^8*t^6.348 + (3*t^6.369)/g1^26 + (2*t^6.391)/g1^60 + 2*g1^84*t^6.653 + 2*g1^50*t^6.674 + 4*g1^16*t^6.696 + (2*t^6.717)/g1^18 + (2*t^6.739)/g1^52 + g1^92*t^7.001 + g1^58*t^7.022 + 4*g1^24*t^7.044 + (2*t^7.065)/g1^10 + t^7.087/g1^44 + g1^100*t^7.349 + 2*g1^66*t^7.37 + 5*g1^32*t^7.392 + (3*t^7.413)/g1^2 + (3*t^7.434)/g1^36 + t^7.456/g1^70 + g1^108*t^7.697 + 2*g1^74*t^7.718 + 4*g1^40*t^7.739 + 4*g1^6*t^7.761 + (3*t^7.782)/g1^28 + t^7.804/g1^62 + g1^116*t^8.045 + g1^48*t^8.087 - g1^14*t^8.109 + t^8.152/g1^54 + g1^192*t^8.35 + g1^158*t^8.371 + 3*g1^124*t^8.392 + 3*g1^90*t^8.414 + 6*g1^56*t^8.435 + 3*g1^22*t^8.457 + (5*t^8.478)/g1^12 + (4*t^8.5)/g1^46 + (2*t^8.521)/g1^80 + 2*g1^132*t^8.74 + 2*g1^98*t^8.762 + 6*g1^64*t^8.783 + 4*g1^30*t^8.805 + (3*t^8.826)/g1^4 + (3*t^8.847)/g1^38 + (2*t^8.869)/g1^72 - t^4.413/(g1^2*y) - (g1^46*t^6.5)/y - (g1^12*t^6.522)/y - t^6.543/(g1^22*y) + (g1^62*t^7.196)/y + (2*g1^28*t^7.218)/y + t^7.239/(g1^6*y) + (g1^36*t^7.566)/y + (g1^2*t^7.587)/y + (g1^44*t^7.913)/y + (g1^10*t^7.935)/y + t^7.956/(g1^24*y) + (g1^52*t^8.261)/y + (3*g1^18*t^8.283)/y + (4*t^8.304)/(g1^16*y) + (2*t^8.326)/(g1^50*y) - (g1^94*t^8.588)/y + (2*t^8.652)/(g1^8*y) + t^8.674/(g1^42*y) + (g1^68*t^8.957)/y + (g1^34*t^8.979)/y - (t^4.413*y)/g1^2 - g1^46*t^6.5*y - g1^12*t^6.522*y - (t^6.543*y)/g1^22 + g1^62*t^7.196*y + 2*g1^28*t^7.218*y + (t^7.239*y)/g1^6 + g1^36*t^7.566*y + g1^2*t^7.587*y + g1^44*t^7.913*y + g1^10*t^7.935*y + (t^7.956*y)/g1^24 + g1^52*t^8.261*y + 3*g1^18*t^8.283*y + (4*t^8.304*y)/g1^16 + (2*t^8.326*y)/g1^50 - g1^94*t^8.588*y + (2*t^8.652*y)/g1^8 + (t^8.674*y)/g1^42 + g1^68*t^8.957*y + g1^34*t^8.979*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 |
|---|---|---|---|---|---|---|---|---|
| 5483 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ | 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]] | 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. - t^4.412/y - t^4.412*y | detail | |
| 5486 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{4}X_{1}$ | 0.5464 | 0.6956 | 0.7855 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 0.8387, 0.7742, 1.1613], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | t^2.129 + t^2.323 + t^2.516 + t^2.71 + t^2.903 + t^3.29 + t^3.484 + t^3.871 + t^4.065 + t^4.258 + 2*t^4.452 + 2*t^4.645 + 2*t^4.839 + 3*t^5.032 + 2*t^5.226 + 2*t^5.419 + 3*t^5.613 + t^5.806 - t^4.355/y - t^4.355*y | detail | {a: 130227/238328, c: 20723/29791, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 26/31, M6: 24/31, M7: 36/31, q1: 16/31, q2: 24/31, qb1: 6/31, qb2: 22/31, phi1: 14/31} |
| 5485 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{4}X_{1}$ | 0.6157 | 0.7746 | 0.7949 | [X:[1.4167], M:[0.75, 1.0833, 1.25, 0.5833, 0.7917, 0.875, 1.0], q:[0.4792, 0.7708], qb:[0.2708, 0.6458], phi:[0.4583]] | t^2.25 + t^2.375 + t^2.625 + t^2.75 + t^3. + t^3.125 + t^3.25 + t^3.75 + t^4.125 + 2*t^4.25 + t^4.5 + t^4.625 + 2*t^4.75 + 2*t^5. + t^5.125 + 3*t^5.25 + 2*t^5.375 + 2*t^5.5 + 2*t^5.625 + 2*t^5.75 + t^5.875 - t^4.375/y - t^4.375*y | detail | {a: 30263/49152, c: 38071/49152, X1: 17/12, M1: 3/4, M2: 13/12, M3: 5/4, M4: 7/12, M5: 19/24, M6: 7/8, M7: 1, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3414 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6742 | 0.8508 | 0.7923 | [M:[0.8217, 1.0594, 1.1783, 0.7028, 0.708, 1.0543], q:[0.4134, 0.7649], qb:[0.4083, 0.5323], phi:[0.4703]] | t^2.109 + t^2.124 + t^2.465 + t^2.822 + t^3.163 + t^3.178 + t^3.519 + t^3.535 + t^3.86 + t^3.891 + t^4.217 + 2*t^4.233 + 2*t^4.248 + t^4.574 + t^4.589 + t^4.605 + 2*t^4.93 + t^4.946 + t^5.271 + 3*t^5.287 + t^5.302 + t^5.628 + 3*t^5.643 + t^5.659 + t^5.969 + 2*t^5.985 - t^4.411/y - t^4.411*y | detail |