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 |
|---|---|---|---|---|---|---|---|---|---|
| 2243 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6679 | 0.8375 | 0.7975 | [M:[1.1174, 0.7277, 0.8826, 0.8826, 1.2207, 0.7277, 0.6761], q:[0.8052, 0.5188], qb:[0.3639, 0.7535], phi:[0.3897]] | [M:[[16], [14], [-16], [-16], [-4], [14], [24]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }M_{7}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{7}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$ | ${}$ | -2 | t^2.028 + 2*t^2.183 + 2*t^2.648 + t^3.352 + t^3.507 + t^3.662 + t^4.056 + 2*t^4.211 + t^4.282 + 3*t^4.366 + t^4.521 + 3*t^4.676 + 3*t^4.831 + t^4.986 + 2*t^5.296 + t^5.38 + 2*t^5.535 + 4*t^5.69 + t^5.845 - 2*t^6. + t^6.085 + t^6.155 + 2*t^6.24 + 2*t^6.31 + 3*t^6.394 + 5*t^6.549 + 4*t^6.704 + 5*t^6.859 + 2*t^6.929 + 5*t^7.014 + t^7.169 + 2*t^7.324 + t^7.409 + 2*t^7.479 + 2*t^7.563 + 5*t^7.718 + 6*t^7.873 + 2*t^7.944 + t^8.113 - 4*t^8.183 + 2*t^8.268 + 3*t^8.338 + 3*t^8.423 - t^8.493 + t^8.563 + 5*t^8.578 - 5*t^8.648 + 9*t^8.732 + 6*t^8.887 + 2*t^8.958 - t^4.169/y - t^6.197/y - (2*t^6.352)/y - t^6.817/y + (2*t^7.211)/y + t^7.366/y + t^7.521/y + (2*t^7.676)/y + (4*t^7.831)/y + (2*t^7.986)/y + t^8.141/y - t^8.225/y + t^8.296/y - t^8.38/y + (3*t^8.69)/y + t^8.845/y - t^4.169*y - t^6.197*y - 2*t^6.352*y - t^6.817*y + 2*t^7.211*y + t^7.366*y + t^7.521*y + 2*t^7.676*y + 4*t^7.831*y + 2*t^7.986*y + t^8.141*y - t^8.225*y + t^8.296*y - t^8.38*y + 3*t^8.69*y + t^8.845*y | g1^24*t^2.028 + 2*g1^14*t^2.183 + (2*t^2.648)/g1^16 + g1^16*t^3.352 + g1^6*t^3.507 + t^3.662/g1^4 + g1^48*t^4.056 + 2*g1^38*t^4.211 + t^4.282/g1^44 + 3*g1^28*t^4.366 + g1^18*t^4.521 + 3*g1^8*t^4.676 + (3*t^4.831)/g1^2 + t^4.986/g1^12 + (2*t^5.296)/g1^32 + g1^40*t^5.38 + 2*g1^30*t^5.535 + 4*g1^20*t^5.69 + g1^10*t^5.845 - 2*t^6. + g1^72*t^6.085 + t^6.155/g1^10 + 2*g1^62*t^6.24 + (2*t^6.31)/g1^20 + 3*g1^52*t^6.394 + 5*g1^42*t^6.549 + 4*g1^32*t^6.704 + 5*g1^22*t^6.859 + (2*t^6.929)/g1^60 + 5*g1^12*t^7.014 + g1^2*t^7.169 + (2*t^7.324)/g1^8 + g1^64*t^7.409 + (2*t^7.479)/g1^18 + 2*g1^54*t^7.563 + 5*g1^44*t^7.718 + 6*g1^34*t^7.873 + (2*t^7.944)/g1^48 + g1^96*t^8.113 - 4*g1^14*t^8.183 + 2*g1^86*t^8.268 + 3*g1^4*t^8.338 + 3*g1^76*t^8.423 - t^8.493/g1^6 + t^8.563/g1^88 + 5*g1^66*t^8.578 - (5*t^8.648)/g1^16 + 9*g1^56*t^8.732 + 6*g1^46*t^8.887 + (2*t^8.958)/g1^36 - (g1^2*t^4.169)/y - (g1^26*t^6.197)/y - (2*g1^16*t^6.352)/y - t^6.817/(g1^14*y) + (2*g1^38*t^7.211)/y + (g1^28*t^7.366)/y + (g1^18*t^7.521)/y + (2*g1^8*t^7.676)/y + (4*t^7.831)/(g1^2*y) + (2*t^7.986)/(g1^12*y) + t^8.141/(g1^22*y) - (g1^50*t^8.225)/y + t^8.296/(g1^32*y) - (g1^40*t^8.38)/y + (3*g1^20*t^8.69)/y + (g1^10*t^8.845)/y - g1^2*t^4.169*y - g1^26*t^6.197*y - 2*g1^16*t^6.352*y - (t^6.817*y)/g1^14 + 2*g1^38*t^7.211*y + g1^28*t^7.366*y + g1^18*t^7.521*y + 2*g1^8*t^7.676*y + (4*t^7.831*y)/g1^2 + (2*t^7.986*y)/g1^12 + (t^8.141*y)/g1^22 - g1^50*t^8.225*y + (t^8.296*y)/g1^32 - g1^40*t^8.38*y + 3*g1^20*t^8.69*y + g1^10*t^8.845*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 |
|---|---|---|---|---|---|---|---|---|
| 4239 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{1}M_{8}$ | 0.679 | 0.8556 | 0.7936 | [M:[1.1302, 0.7389, 0.8698, 0.8698, 1.2175, 0.7389, 0.6953, 0.8698], q:[0.8044, 0.5004], qb:[0.3695, 0.7607], phi:[0.3913]] | t^2.086 + 2*t^2.217 + 3*t^2.609 + t^3.521 + t^3.652 + t^4.172 + t^4.176 + 2*t^4.303 + 3*t^4.433 + t^4.564 + 4*t^4.695 + 5*t^4.826 + t^4.957 + 5*t^5.219 + 4*t^5.738 + t^5.869 - 4*t^6. - t^4.174/y - t^4.174*y | detail | |
| 4240 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ | 0.6824 | 0.8623 | 0.7914 | [M:[1.1216, 0.7314, 0.8784, 0.8784, 1.2196, 0.7314, 0.6824, 0.8294], q:[0.8049, 0.5127], qb:[0.3657, 0.7559], phi:[0.3902]] | t^2.047 + 2*t^2.194 + t^2.488 + 2*t^2.635 + t^3.365 + t^3.659 + t^4.094 + 2*t^4.241 + t^4.247 + 3*t^4.388 + 2*t^4.535 + 5*t^4.682 + 3*t^4.829 + 2*t^4.976 + 2*t^5.124 + 2*t^5.271 + t^5.412 + t^5.559 + 2*t^5.706 + 2*t^5.853 - 2*t^6. - t^4.171/y - t^4.171*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1194 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6471 | 0.7965 | 0.8125 | [M:[1.119, 0.7291, 0.881, 0.881, 1.2203, 0.7291], q:[0.8051, 0.5165], qb:[0.3645, 0.7544], phi:[0.3899]] | 2*t^2.187 + 2*t^2.643 + t^3.357 + t^3.509 + t^3.661 + t^3.965 + t^4.269 + 3*t^4.375 + t^4.526 + t^4.678 + 3*t^4.83 + t^4.982 + 2*t^5.286 + t^5.544 + 3*t^5.696 + t^5.848 - 2*t^6. - t^4.17/y - t^4.17*y | detail |