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 |
|---|---|---|---|---|---|---|---|---|---|
| 48283 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6802 | 0.8591 | 0.7917 | [M:[1.0558, 0.721, 0.8326, 1.1674, 0.721], q:[0.5151, 0.4291], qb:[0.764, 0.4035], phi:[0.4721]] | [M:[[4], [-20], [-12], [12], [-20]], q:[[19], [-23]], qb:[[1], [11]], phi:[[-2]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | 2*t^2.163 + t^2.498 + t^2.756 + t^2.833 + t^3.167 + t^3.502 + t^3.579 + t^3.914 + t^3.991 + t^4.172 + t^4.249 + 3*t^4.326 + t^4.507 + 2*t^4.661 + 2*t^4.919 + 3*t^4.996 + t^5.253 + 3*t^5.33 + t^5.511 + t^5.588 + 3*t^5.665 + t^5.742 - t^6. + 2*t^6.077 + 2*t^6.154 + 2*t^6.335 + 3*t^6.412 + 5*t^6.489 + 3*t^6.67 + 2*t^6.747 + 4*t^6.824 + t^6.927 + t^7.004 + 3*t^7.081 + 5*t^7.158 + t^7.262 + 6*t^7.493 + t^7.57 + t^7.674 + 2*t^7.751 + 6*t^7.828 + 2*t^7.905 + t^7.982 + t^8.009 - t^8.163 + 3*t^8.24 + t^8.267 + 3*t^8.317 + t^8.344 + 2*t^8.498 + 4*t^8.575 + 7*t^8.652 + t^8.679 - 2*t^8.756 + t^8.833 + 4*t^8.91 + 7*t^8.987 - t^4.416/y - (2*t^6.579)/y + t^7.326/y + (2*t^7.661)/y + (2*t^7.919)/y + (2*t^7.996)/y + (3*t^8.253)/y + (3*t^8.33)/y + t^8.588/y + (3*t^8.665)/y - t^8.742/y + t^8.923/y - t^4.416*y - 2*t^6.579*y + t^7.326*y + 2*t^7.661*y + 2*t^7.919*y + 2*t^7.996*y + 3*t^8.253*y + 3*t^8.33*y + t^8.588*y + 3*t^8.665*y - t^8.742*y + t^8.923*y | (2*t^2.163)/g1^20 + t^2.498/g1^12 + g1^30*t^2.756 + t^2.833/g1^4 + g1^4*t^3.167 + g1^12*t^3.502 + t^3.579/g1^22 + t^3.914/g1^14 + t^3.991/g1^48 + g1^28*t^4.172 + t^4.249/g1^6 + (3*t^4.326)/g1^40 + g1^36*t^4.507 + (2*t^4.661)/g1^32 + 2*g1^10*t^4.919 + (3*t^4.996)/g1^24 + g1^18*t^5.253 + (3*t^5.33)/g1^16 + g1^60*t^5.511 + g1^26*t^5.588 + (3*t^5.665)/g1^8 + t^5.742/g1^42 - t^6. + (2*t^6.077)/g1^34 + (2*t^6.154)/g1^68 + 2*g1^8*t^6.335 + (3*t^6.412)/g1^26 + (5*t^6.489)/g1^60 + 3*g1^16*t^6.67 + (2*t^6.747)/g1^18 + (4*t^6.824)/g1^52 + g1^58*t^6.927 + g1^24*t^7.004 + (3*t^7.081)/g1^10 + (5*t^7.158)/g1^44 + g1^66*t^7.262 + (6*t^7.493)/g1^36 + t^7.57/g1^70 + g1^40*t^7.674 + 2*g1^6*t^7.751 + (6*t^7.828)/g1^28 + (2*t^7.905)/g1^62 + t^7.982/g1^96 + g1^48*t^8.009 - t^8.163/g1^20 + (3*t^8.24)/g1^54 + g1^90*t^8.267 + (3*t^8.317)/g1^88 + g1^56*t^8.344 + (2*t^8.498)/g1^12 + (4*t^8.575)/g1^46 + (7*t^8.652)/g1^80 + g1^64*t^8.679 - 2*g1^30*t^8.756 + t^8.833/g1^4 + (4*t^8.91)/g1^38 + (7*t^8.987)/g1^72 - t^4.416/(g1^2*y) - (2*t^6.579)/(g1^22*y) + t^7.326/(g1^40*y) + (2*t^7.661)/(g1^32*y) + (2*g1^10*t^7.919)/y + (2*t^7.996)/(g1^24*y) + (3*g1^18*t^8.253)/y + (3*t^8.33)/(g1^16*y) + (g1^26*t^8.588)/y + (3*t^8.665)/(g1^8*y) - t^8.742/(g1^42*y) + (g1^34*t^8.923)/y - (t^4.416*y)/g1^2 - (2*t^6.579*y)/g1^22 + (t^7.326*y)/g1^40 + (2*t^7.661*y)/g1^32 + 2*g1^10*t^7.919*y + (2*t^7.996*y)/g1^24 + 3*g1^18*t^8.253*y + (3*t^8.33*y)/g1^16 + g1^26*t^8.588*y + (3*t^8.665*y)/g1^8 - (t^8.742*y)/g1^42 + g1^34*t^8.923*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 |
|---|---|---|---|---|---|---|---|---|
| 55989 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 0.6756 | 0.8512 | 0.7937 | [M:[1.0476, 0.7619, 0.8571, 1.1429, 0.7619], q:[0.4762, 0.4762], qb:[0.7619, 0.381], phi:[0.4762]] | 2*t^2.286 + 2*t^2.571 + t^2.857 + t^3.143 + t^3.429 + t^3.714 + 2*t^4. + 3*t^4.286 + 3*t^4.571 + 4*t^4.857 + 5*t^5.143 + 4*t^5.429 + 3*t^5.714 - t^4.429/y - t^4.429*y | detail | {a: 227/336, c: 143/168, M1: 22/21, M2: 16/21, M3: 6/7, M4: 8/7, M5: 16/21, q1: 10/21, q2: 10/21, qb1: 16/21, qb2: 8/21, phi1: 10/21} |
| 55990 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.7008 | 0.8987 | 0.7798 | [M:[1.0554, 0.7228, 0.8337, 1.1663, 0.7228, 0.694], q:[0.5133, 0.4312], qb:[0.7639, 0.4024], phi:[0.4723]] | t^2.082 + 2*t^2.168 + t^2.501 + t^2.747 + t^2.834 + t^3.166 + t^3.499 + t^3.585 + t^4.004 + 2*t^4.164 + 3*t^4.251 + 3*t^4.337 + t^4.497 + t^4.583 + 2*t^4.67 + t^4.829 + 3*t^4.916 + 3*t^5.002 + 2*t^5.248 + 3*t^5.335 + t^5.495 + 2*t^5.581 + 4*t^5.667 + t^5.754 - t^6. - t^4.417/y - t^4.417*y | detail | |
| 55991 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7011 | 0.9007 | 0.7784 | [M:[1.0557, 0.7214, 0.8329, 1.1671, 0.7214, 0.6686], q:[0.5146, 0.4296], qb:[0.7639, 0.4032], phi:[0.4721]] | t^2.006 + 2*t^2.164 + t^2.499 + t^2.754 + t^2.833 + t^3.167 + t^3.501 + t^3.581 + t^3.915 + t^4.011 + 3*t^4.17 + t^4.249 + 3*t^4.329 + 2*t^4.504 + 2*t^4.663 + t^4.759 + t^4.839 + 2*t^4.918 + 3*t^4.997 + t^5.173 + t^5.252 + 3*t^5.331 + 2*t^5.507 + 2*t^5.586 + 3*t^5.666 + t^5.745 + t^5.921 - t^6. - t^4.416/y - t^4.416*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46544 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ | 0.6603 | 0.8216 | 0.8036 | [M:[1.0547, 0.7265, 0.8359, 1.1641], q:[0.5099, 0.4354], qb:[0.7637, 0.4004], phi:[0.4726]] | t^2.179 + t^2.508 + t^2.731 + t^2.836 + t^3.164 + t^3.492 + t^3.597 + t^3.821 + t^3.926 + t^4.03 + t^4.149 + t^4.254 + t^4.359 + t^4.477 + t^4.687 + t^4.91 + 2*t^5.015 + t^5.239 + 2*t^5.343 + t^5.462 + t^5.567 + 2*t^5.672 - t^4.418/y - t^4.418*y | detail |