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 |
|---|---|---|---|---|---|---|---|---|---|
| 130 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ | 0.5943 | 0.7486 | 0.7938 | [M:[1.0, 0.8787], q:[0.7652, 0.2348], qb:[0.5607, 0.5607], phi:[0.4697]] | [M:[[0, 0], [-8, -8]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -5 | 2*t^2.387 + t^2.636 + 2*t^2.818 + t^3. + 2*t^3.796 + 2*t^3.978 + 6*t^4.773 + 4*t^5.204 + t^5.272 + 2*t^5.387 + 2*t^5.454 + 4*t^5.636 + t^5.818 - 5*t^6. + 3*t^6.182 + 3*t^6.364 + 4*t^6.613 + 2*t^6.796 - 2*t^6.978 + 8*t^7.16 - 2*t^7.409 + 10*t^7.591 + 6*t^7.773 + t^7.908 + 6*t^8.022 + 2*t^8.09 + 2*t^8.204 + 4*t^8.272 - 12*t^8.387 + 5*t^8.454 + 6*t^8.569 - t^8.636 + 8*t^8.751 - 12*t^8.818 - t^4.409/y - t^7.045/y - t^7.227/y + t^7.591/y + (2*t^7.773)/y + (2*t^8.022)/y + (4*t^8.204)/y + (2*t^8.387)/y + (2*t^8.454)/y + (2*t^8.636)/y + (2*t^8.818)/y - t^4.409*y - t^7.045*y - t^7.227*y + t^7.591*y + 2*t^7.773*y + 2*t^8.022*y + 4*t^8.204*y + 2*t^8.387*y + 2*t^8.454*y + 2*t^8.636*y + 2*t^8.818*y | (g1^7*t^2.387)/g2 + (g2^7*t^2.387)/g1 + t^2.636/(g1^8*g2^8) + (2*t^2.818)/(g1^4*g2^4) + t^3. + (g1^5*t^3.796)/g2^3 + (g2^5*t^3.796)/g1^3 + g1^9*g2*t^3.978 + g1*g2^9*t^3.978 + (2*g1^14*t^4.773)/g2^2 + 2*g1^6*g2^6*t^4.773 + (2*g2^14*t^4.773)/g1^2 + (2*g1^3*t^5.204)/g2^5 + (2*g2^3*t^5.204)/g1^5 + t^5.272/(g1^16*g2^16) + (g1^7*t^5.387)/g2 + (g2^7*t^5.387)/g1 + (2*t^5.454)/(g1^12*g2^12) + (4*t^5.636)/(g1^8*g2^8) + t^5.818/(g1^4*g2^4) - 3*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + (g1^12*t^6.182)/g2^4 + g1^4*g2^4*t^6.182 + (g2^12*t^6.182)/g1^4 + g1^16*t^6.364 + g1^8*g2^8*t^6.364 + g2^16*t^6.364 + (2*g1*t^6.613)/g2^7 + (2*g2*t^6.613)/g1^7 + (g1^5*t^6.796)/g2^3 + (g2^5*t^6.796)/g1^3 - g1^9*g2*t^6.978 - g1*g2^9*t^6.978 + (2*g1^21*t^7.16)/g2^3 + 2*g1^13*g2^5*t^7.16 + 2*g1^5*g2^13*t^7.16 + (2*g2^21*t^7.16)/g1^3 - (2*t^7.409)/(g1^2*g2^2) + (4*g1^10*t^7.591)/g2^6 + 2*g1^2*g2^2*t^7.591 + (4*g2^10*t^7.591)/g1^6 + (2*g1^14*t^7.773)/g2^2 + 2*g1^6*g2^6*t^7.773 + (2*g2^14*t^7.773)/g1^2 + t^7.908/(g1^24*g2^24) + (3*t^8.022)/(g1*g2^9) + (3*t^8.022)/(g1^9*g2) + (2*t^8.09)/(g1^20*g2^20) + (g1^3*t^8.204)/g2^5 + (g2^3*t^8.204)/g1^5 + (4*t^8.272)/(g1^16*g2^16) - (g1^15*t^8.387)/g2^9 - (5*g1^7*t^8.387)/g2 - (5*g2^7*t^8.387)/g1 - (g2^15*t^8.387)/g1^9 + (5*t^8.454)/(g1^12*g2^12) + (2*g1^19*t^8.569)/g2^5 + g1^11*g2^3*t^8.569 + g1^3*g2^11*t^8.569 + (2*g2^19*t^8.569)/g1^5 - t^8.636/(g1^8*g2^8) + (2*g1^23*t^8.751)/g2 + 2*g1^15*g2^7*t^8.751 + 2*g1^7*g2^15*t^8.751 + (2*g2^23*t^8.751)/g1 - (2*g1^4*t^8.818)/g2^12 - (8*t^8.818)/(g1^4*g2^4) - (2*g2^4*t^8.818)/g1^12 - t^4.409/(g1^2*g2^2*y) - t^7.045/(g1^10*g2^10*y) - t^7.227/(g1^6*g2^6*y) + (g1^2*g2^2*t^7.591)/y + (2*g1^6*g2^6*t^7.773)/y + t^8.022/(g1*g2^9*y) + t^8.022/(g1^9*g2*y) + (2*g1^3*t^8.204)/(g2^5*y) + (2*g2^3*t^8.204)/(g1^5*y) + (g1^7*t^8.387)/(g2*y) + (g2^7*t^8.387)/(g1*y) + (2*t^8.454)/(g1^12*g2^12*y) + (2*t^8.636)/(g1^8*g2^8*y) + (2*t^8.818)/(g1^4*g2^4*y) - (t^4.409*y)/(g1^2*g2^2) - (t^7.045*y)/(g1^10*g2^10) - (t^7.227*y)/(g1^6*g2^6) + g1^2*g2^2*t^7.591*y + 2*g1^6*g2^6*t^7.773*y + (t^8.022*y)/(g1*g2^9) + (t^8.022*y)/(g1^9*g2) + (2*g1^3*t^8.204*y)/g2^5 + (2*g2^3*t^8.204*y)/g1^5 + (g1^7*t^8.387*y)/g2 + (g2^7*t^8.387*y)/g1 + (2*t^8.454*y)/(g1^12*g2^12) + (2*t^8.636*y)/(g1^8*g2^8) + (2*t^8.818*y)/(g1^4*g2^4) |
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 |
|---|---|---|---|---|---|---|---|---|
| 217 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.614 | 0.7856 | 0.7817 | [M:[1.0, 0.8753, 0.7244], q:[0.7656, 0.2344], qb:[0.5724, 0.5523], phi:[0.4688]] | t^2.173 + t^2.36 + t^2.42 + t^2.626 + 2*t^2.813 + t^3. + t^3.767 + t^3.954 + t^4.014 + t^4.346 + t^4.533 + t^4.593 + 2*t^4.72 + 2*t^4.78 + t^4.799 + 2*t^4.841 + 2*t^4.986 + 3*t^5.173 + 2*t^5.233 + t^5.252 + t^5.36 + t^5.42 + 2*t^5.439 + 4*t^5.626 + t^5.813 - 3*t^6. - t^4.407/y - t^4.407*y | detail | |
| 1715 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 0.6151 | 0.7899 | 0.7787 | [M:[1.0, 0.877, 0.6721], q:[0.7654, 0.2346], qb:[0.5625, 0.5605], phi:[0.4693]] | t^2.016 + t^2.385 + t^2.391 + t^2.631 + 2*t^2.816 + t^3. + t^3.793 + t^3.799 + t^3.977 + t^4.033 + t^4.402 + t^4.408 + t^4.647 + 2*t^4.771 + 2*t^4.777 + 2*t^4.783 + 2*t^4.832 + t^5.016 + 2*t^5.201 + 2*t^5.207 + t^5.262 + t^5.385 + t^5.391 + 2*t^5.447 + 4*t^5.631 + t^5.809 + 2*t^5.816 - 3*t^6. - t^4.408/y - t^4.408*y | detail | |
| 214 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.5536 | 0.7057 | 0.7845 | [M:[1.0, 0.7344], q:[0.7832, 0.2168], qb:[0.7832, 0.4824], phi:[0.4336]] | t^2.098 + t^2.203 + 2*t^2.602 + 2*t^3. + t^3.398 + t^3.797 + 2*t^4.195 + t^4.301 + t^4.406 + 3*t^4.699 + 2*t^4.805 + 2*t^5.098 + 4*t^5.203 + t^5.496 + 3*t^5.602 + t^5.895 + 2*t^6. - t^4.301/y - t^4.301*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 |
|---|---|---|---|---|---|---|---|---|---|
| 81 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.7025 | 0.8516 | 0.8249 | [M:[0.6751, 0.8682], q:[0.8071, 0.5178], qb:[0.5659, 0.5659], phi:[0.3858]] | t^2.025 + t^2.315 + t^2.605 + 2*t^3.251 + t^4.051 + 2*t^4.119 + t^4.264 + t^4.34 + 2*t^4.409 + 3*t^4.553 + 2*t^4.63 + t^4.92 + t^5.209 + 2*t^5.276 + 2*t^5.566 - 5*t^6. - t^4.157/y - t^4.157*y | detail |