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 |
|---|---|---|---|---|---|---|---|---|---|
| 55961 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6742 | 0.8507 | 0.7925 | [M:[1.0583, 0.7084, 0.825, 1.175, 1.0626, 0.6999], q:[0.5271, 0.4146], qb:[0.7646, 0.4104], phi:[0.4708]] | [M:[[4], [-20], [-12], [12], [-30], [48]], q:[[19], [-23]], qb:[[1], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | 0 | t^2.1 + t^2.125 + t^2.475 + t^2.825 + t^3.175 + t^3.188 + t^3.525 + t^3.538 + t^3.875 + t^3.888 + t^4.2 + 2*t^4.225 + t^4.238 + t^4.25 + 2*t^4.575 + t^4.6 + t^4.925 + 2*t^4.95 + t^5.275 + t^5.287 + 2*t^5.3 + t^5.313 + t^5.625 + t^5.637 + 2*t^5.65 + t^5.663 + t^5.975 + 2*t^6.013 + t^6.299 + 2*t^6.325 + 2*t^6.35 + 3*t^6.363 + 2*t^6.375 + 2*t^6.675 + 3*t^6.7 + 2*t^6.713 + 2*t^6.725 + t^7.025 + 3*t^7.05 + t^7.063 + 2*t^7.075 + t^7.374 + t^7.387 + 3*t^7.4 + t^7.413 + 3*t^7.425 + t^7.438 + t^7.724 + t^7.737 + 2*t^7.75 + 2*t^7.762 + 3*t^7.775 + t^7.788 + t^8.074 + t^8.1 + t^8.112 + 2*t^8.138 + t^8.399 + 2*t^8.424 + 3*t^8.45 + t^8.462 + 2*t^8.475 + 3*t^8.488 + 2*t^8.5 + 2*t^8.774 + 4*t^8.8 + t^8.812 + t^8.825 + 3*t^8.838 + 2*t^8.85 - t^4.413/y - t^6.512/y - t^6.538/y + (2*t^7.225)/y + t^7.575/y + t^7.925/y + t^7.95/y + t^8.275/y + (2*t^8.287)/y + (2*t^8.3)/y + (2*t^8.313)/y - t^8.612/y + t^8.625/y + (2*t^8.65)/y + t^8.663/y + t^8.975/y + t^8.987/y - t^4.413*y - t^6.512*y - t^6.538*y + 2*t^7.225*y + t^7.575*y + t^7.925*y + t^7.95*y + t^8.275*y + 2*t^8.287*y + 2*t^8.3*y + 2*t^8.313*y - t^8.612*y + t^8.625*y + 2*t^8.65*y + t^8.663*y + t^8.975*y + t^8.987*y | g1^48*t^2.1 + t^2.125/g1^20 + t^2.475/g1^12 + t^2.825/g1^4 + g1^4*t^3.175 + t^3.188/g1^30 + g1^12*t^3.525 + t^3.538/g1^22 + g1^20*t^3.875 + t^3.888/g1^14 + g1^96*t^4.2 + 2*g1^28*t^4.225 + t^4.238/g1^6 + t^4.25/g1^40 + 2*g1^36*t^4.575 + t^4.6/g1^32 + g1^44*t^4.925 + (2*t^4.95)/g1^24 + g1^52*t^5.275 + g1^18*t^5.287 + (2*t^5.3)/g1^16 + t^5.313/g1^50 + g1^60*t^5.625 + g1^26*t^5.637 + (2*t^5.65)/g1^8 + t^5.663/g1^42 + g1^68*t^5.975 + (2*t^6.013)/g1^34 + g1^144*t^6.299 + 2*g1^76*t^6.325 + 2*g1^8*t^6.35 + (3*t^6.363)/g1^26 + (2*t^6.375)/g1^60 + 2*g1^84*t^6.675 + 3*g1^16*t^6.7 + (2*t^6.713)/g1^18 + (2*t^6.725)/g1^52 + g1^92*t^7.025 + 3*g1^24*t^7.05 + t^7.063/g1^10 + (2*t^7.075)/g1^44 + g1^100*t^7.374 + g1^66*t^7.387 + 3*g1^32*t^7.4 + t^7.413/g1^2 + (3*t^7.425)/g1^36 + t^7.438/g1^70 + g1^108*t^7.724 + g1^74*t^7.737 + 2*g1^40*t^7.75 + 2*g1^6*t^7.762 + (3*t^7.775)/g1^28 + t^7.788/g1^62 + g1^116*t^8.074 + g1^48*t^8.1 + g1^14*t^8.112 + (2*t^8.138)/g1^54 + g1^192*t^8.399 + 2*g1^124*t^8.424 + 3*g1^56*t^8.45 + g1^22*t^8.462 + (2*t^8.475)/g1^12 + (3*t^8.488)/g1^46 + (2*t^8.5)/g1^80 + 2*g1^132*t^8.774 + 4*g1^64*t^8.8 + g1^30*t^8.812 + t^8.825/g1^4 + (3*t^8.838)/g1^38 + (2*t^8.85)/g1^72 - t^4.413/(g1^2*y) - (g1^46*t^6.512)/y - t^6.538/(g1^22*y) + (2*g1^28*t^7.225)/y + (g1^36*t^7.575)/y + (g1^44*t^7.925)/y + t^7.95/(g1^24*y) + (g1^52*t^8.275)/y + (2*g1^18*t^8.287)/y + (2*t^8.3)/(g1^16*y) + (2*t^8.313)/(g1^50*y) - (g1^94*t^8.612)/y + (g1^60*t^8.625)/y + (2*t^8.65)/(g1^8*y) + t^8.663/(g1^42*y) + (g1^68*t^8.975)/y + (g1^34*t^8.987)/y - (t^4.413*y)/g1^2 - g1^46*t^6.512*y - (t^6.538*y)/g1^22 + 2*g1^28*t^7.225*y + g1^36*t^7.575*y + g1^44*t^7.925*y + (t^7.95*y)/g1^24 + g1^52*t^8.275*y + 2*g1^18*t^8.287*y + (2*t^8.3*y)/g1^16 + (2*t^8.313*y)/g1^50 - g1^94*t^8.612*y + g1^60*t^8.625*y + (2*t^8.65*y)/g1^8 + (t^8.663*y)/g1^42 + g1^68*t^8.975*y + g1^34*t^8.987*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 |
|---|---|---|---|---|---|---|---|---|
| 57707 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ | 0.5987 | 0.7445 | 0.8041 | [X:[1.4167], M:[1.0833, 0.5833, 0.75, 1.25, 0.875, 1.0], q:[0.6458, 0.2708], qb:[0.7708, 0.4792], phi:[0.4583]] | t^2.25 + t^2.625 + t^2.75 + t^3. + t^3.125 + t^3.25 + t^3.625 + t^3.75 + t^4.125 + 2*t^4.25 + t^4.5 + t^4.75 + t^5. + 3*t^5.25 + t^5.375 + t^5.5 + t^5.625 + 2*t^5.75 + 2*t^5.875 - t^4.375/y - t^4.375*y | detail | {a: 7357/12288, c: 9149/12288, X1: 17/12, M1: 13/12, M2: 7/12, M3: 3/4, M4: 5/4, M5: 7/8, M6: 1, q1: 31/48, q2: 13/48, qb1: 37/48, qb2: 23/48, phi1: 11/24} |
| 57718 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6946 | 0.8898 | 0.7806 | [M:[1.058, 0.7101, 0.8261, 1.1739, 1.0651, 0.6958, 0.7029], q:[0.5254, 0.4166], qb:[0.7645, 0.4095], 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 48226 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6538 | 0.8126 | 0.8046 | [M:[1.06, 0.6998, 0.8199, 1.1801, 1.0497], q:[0.5352, 0.4048], qb:[0.765, 0.4151], phi:[0.47]] | t^2.099 + t^2.46 + t^2.82 + t^3.149 + t^3.18 + t^3.509 + t^3.54 + t^3.838 + t^3.87 + t^3.901 + t^4.199 + t^4.23 + t^4.261 + t^4.559 + t^4.621 + 2*t^4.919 + t^5.248 + 2*t^5.279 + t^5.609 + 2*t^5.64 + t^5.938 + 2*t^5.969 - t^4.41/y - t^4.41*y | detail |