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 |
|---|---|---|---|---|---|---|---|---|---|
| 55964 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6744 | 0.8525 | 0.7911 | [M:[1.0607, 0.6966, 0.818, 1.182, 1.0449, 0.6966], q:[0.5382, 0.4011], qb:[0.7652, 0.4169], phi:[0.4697]] | [M:[[4], [-20], [-12], [12], [-30], [-20]], q:[[19], [-23]], qb:[[1], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -1 | 2*t^2.09 + t^2.454 + t^2.818 + t^3.135 + t^3.182 + t^3.499 + t^3.546 + t^3.815 + t^3.863 + 3*t^4.18 + t^4.227 + t^4.274 + 2*t^4.544 + t^4.638 + 3*t^4.908 + 2*t^5.224 + 3*t^5.272 + 2*t^5.589 + 3*t^5.636 + 2*t^5.905 + 3*t^5.953 - t^6. - t^6.047 + 6*t^6.269 + 4*t^6.317 + t^6.364 - t^6.411 + 5*t^6.633 + 2*t^6.681 + 2*t^6.728 + t^6.95 + 6*t^6.998 + 4*t^7.314 + 7*t^7.362 - t^7.409 + t^7.631 + 4*t^7.678 + 6*t^7.726 - t^7.82 + 3*t^7.995 + 6*t^8.042 - t^8.09 - 3*t^8.137 + 9*t^8.359 + 7*t^8.406 + t^8.454 - 3*t^8.501 + 9*t^8.723 + 5*t^8.771 - t^8.818 - t^8.865 + t^8.913 - t^4.409/y - (2*t^6.499)/y + t^7.18/y + t^7.274/y + t^7.544/y + (2*t^7.908)/y + (2*t^8.224)/y + (3*t^8.272)/y + (2*t^8.319)/y + (3*t^8.636)/y + (2*t^8.905)/y + (4*t^8.953)/y - t^4.409*y - 2*t^6.499*y + t^7.18*y + t^7.274*y + t^7.544*y + 2*t^7.908*y + 2*t^8.224*y + 3*t^8.272*y + 2*t^8.319*y + 3*t^8.636*y + 2*t^8.905*y + 4*t^8.953*y | (2*t^2.09)/g1^20 + t^2.454/g1^12 + t^2.818/g1^4 + t^3.135/g1^30 + g1^4*t^3.182 + t^3.499/g1^22 + g1^12*t^3.546 + t^3.815/g1^48 + t^3.863/g1^14 + (3*t^4.18)/g1^40 + t^4.227/g1^6 + g1^28*t^4.274 + (2*t^4.544)/g1^32 + g1^36*t^4.638 + (3*t^4.908)/g1^24 + (2*t^5.224)/g1^50 + (3*t^5.272)/g1^16 + (2*t^5.589)/g1^42 + (3*t^5.636)/g1^8 + (2*t^5.905)/g1^68 + (3*t^5.953)/g1^34 - t^6. - g1^34*t^6.047 + (6*t^6.269)/g1^60 + (4*t^6.317)/g1^26 + g1^8*t^6.364 - g1^42*t^6.411 + (5*t^6.633)/g1^52 + (2*t^6.681)/g1^18 + 2*g1^16*t^6.728 + t^6.95/g1^78 + (6*t^6.998)/g1^44 + (4*t^7.314)/g1^70 + (7*t^7.362)/g1^36 - t^7.409/g1^2 + t^7.631/g1^96 + (4*t^7.678)/g1^62 + (6*t^7.726)/g1^28 - g1^40*t^7.82 + (3*t^7.995)/g1^88 + (6*t^8.042)/g1^54 - t^8.09/g1^20 - 3*g1^14*t^8.137 + (9*t^8.359)/g1^80 + (7*t^8.406)/g1^46 + t^8.454/g1^12 - 3*g1^22*t^8.501 + (9*t^8.723)/g1^72 + (5*t^8.771)/g1^38 - t^8.818/g1^4 - g1^30*t^8.865 + g1^64*t^8.913 - t^4.409/(g1^2*y) - (2*t^6.499)/(g1^22*y) + t^7.18/(g1^40*y) + (g1^28*t^7.274)/y + t^7.544/(g1^32*y) + (2*t^7.908)/(g1^24*y) + (2*t^8.224)/(g1^50*y) + (3*t^8.272)/(g1^16*y) + (2*g1^18*t^8.319)/y + (3*t^8.636)/(g1^8*y) + (2*t^8.905)/(g1^68*y) + (4*t^8.953)/(g1^34*y) - (t^4.409*y)/g1^2 - (2*t^6.499*y)/g1^22 + (t^7.18*y)/g1^40 + g1^28*t^7.274*y + (t^7.544*y)/g1^32 + (2*t^7.908*y)/g1^24 + (2*t^8.224*y)/g1^50 + (3*t^8.272*y)/g1^16 + 2*g1^18*t^8.319*y + (3*t^8.636*y)/g1^8 + (2*t^8.905*y)/g1^68 + (4*t^8.953*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57715 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6947 | 0.8904 | 0.7802 | [M:[1.0601, 0.6995, 0.8197, 1.1803, 1.0492, 0.6995, 0.7104], q:[0.5355, 0.4044], qb:[0.765, 0.4153], phi:[0.4699]] | 2*t^2.098 + t^2.131 + t^2.459 + t^2.82 + t^3.148 + t^3.18 + t^3.508 + t^3.541 + t^3.836 + 3*t^4.197 + 3*t^4.23 + 2*t^4.262 + 2*t^4.558 + t^4.59 + t^4.623 + 3*t^4.918 + t^4.951 + 2*t^5.246 + 4*t^5.279 + t^5.311 + 2*t^5.607 + 4*t^5.639 + t^5.672 + 2*t^5.935 + 2*t^5.967 - t^6. - t^4.41/y - t^4.41*y | detail | |
| 57714 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6945 | 0.8894 | 0.7809 | [M:[1.0589, 0.7057, 0.8234, 1.1766, 1.0586, 0.7057, 0.7063], q:[0.5296, 0.4116], qb:[0.7647, 0.4119], phi:[0.4706]] | 2*t^2.117 + t^2.119 + t^2.47 + t^2.823 + t^3.176 + t^3.177 + t^3.529 + t^3.53 + t^3.882 + 3*t^4.234 + t^4.235 + 3*t^4.236 + t^4.238 + 2*t^4.587 + 2*t^4.589 + 3*t^4.941 + t^4.942 + 2*t^5.293 + 3*t^5.294 + 2*t^5.295 + 2*t^5.646 + 3*t^5.647 + 2*t^5.648 + 3*t^5.999 - t^6. - t^4.412/y - t^4.412*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 |