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 |
|---|---|---|---|---|---|---|---|---|---|
| 5055 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6844 | 0.8699 | 0.7868 | [M:[1.0791, 0.8087, 1.0561, 0.8316, 1.1684, 0.6735, 0.7194, 1.0561], q:[0.5166, 0.4043], qb:[0.4273, 0.764], phi:[0.4719]] | [M:[[-30], [22], [4], [-12], [12], [48], [-20], [4]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{8}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}M_{7}\phi_{1}q_{2}^{2}$ | -1 | t^2.02 + t^2.158 + t^2.426 + t^2.495 + 2*t^3.168 + t^3.237 + t^3.505 + t^3.842 + t^3.911 + t^4.041 + 2*t^4.179 + t^4.247 + t^4.316 + t^4.446 + 2*t^4.515 + t^4.584 + t^4.653 + t^4.852 + t^4.921 + t^4.99 + 2*t^5.189 + t^5.258 + 2*t^5.327 + t^5.395 + t^5.526 + 2*t^5.594 + 3*t^5.663 + t^5.862 + t^5.931 - t^6. + t^6.061 + 2*t^6.199 + t^6.268 + 4*t^6.337 + 3*t^6.406 + t^6.467 + 2*t^6.474 + 2*t^6.536 + 2*t^6.605 + 4*t^6.673 + t^6.742 + t^6.811 + t^6.872 + 2*t^6.941 + 3*t^7.01 + t^7.079 + 2*t^7.209 + 2*t^7.278 + 4*t^7.347 + 2*t^7.416 + 2*t^7.485 + t^7.546 + t^7.554 + 2*t^7.615 + 4*t^7.684 + 2*t^7.753 + 2*t^7.821 + t^7.883 + t^7.952 + 2*t^8.02 + t^8.082 + t^8.089 - t^8.158 + 2*t^8.219 + t^8.288 + 5*t^8.357 + t^8.487 + 2*t^8.495 + 2*t^8.556 + 2*t^8.564 + 2*t^8.625 + 2*t^8.633 + 5*t^8.694 + 4*t^8.763 + 5*t^8.832 + t^8.893 + 2*t^8.9 + 2*t^8.962 + t^8.969 - t^4.416/y - t^6.436/y - t^6.574/y - t^6.842/y + (2*t^7.179)/y + t^7.247/y + t^7.446/y + t^7.515/y + t^7.921/y + t^7.99/y + (2*t^8.189)/y + (2*t^8.258)/y + (2*t^8.327)/y + (2*t^8.395)/y - t^8.457/y + t^8.526/y + t^8.594/y + (4*t^8.663)/y + (2*t^8.931)/y - t^4.416*y - t^6.436*y - t^6.574*y - t^6.842*y + 2*t^7.179*y + t^7.247*y + t^7.446*y + t^7.515*y + t^7.921*y + t^7.99*y + 2*t^8.189*y + 2*t^8.258*y + 2*t^8.327*y + 2*t^8.395*y - t^8.457*y + t^8.526*y + t^8.594*y + 4*t^8.663*y + 2*t^8.931*y | g1^48*t^2.02 + t^2.158/g1^20 + g1^22*t^2.426 + t^2.495/g1^12 + 2*g1^4*t^3.168 + t^3.237/g1^30 + g1^12*t^3.505 + g1^20*t^3.842 + t^3.911/g1^14 + g1^96*t^4.041 + 2*g1^28*t^4.179 + t^4.247/g1^6 + t^4.316/g1^40 + g1^70*t^4.446 + 2*g1^36*t^4.515 + g1^2*t^4.584 + t^4.653/g1^32 + g1^44*t^4.852 + g1^10*t^4.921 + t^4.99/g1^24 + 2*g1^52*t^5.189 + g1^18*t^5.258 + (2*t^5.327)/g1^16 + t^5.395/g1^50 + g1^60*t^5.526 + 2*g1^26*t^5.594 + (3*t^5.663)/g1^8 + g1^68*t^5.862 + g1^34*t^5.931 - t^6. + g1^144*t^6.061 + 2*g1^76*t^6.199 + g1^42*t^6.268 + 4*g1^8*t^6.337 + (3*t^6.406)/g1^26 + g1^118*t^6.467 + (2*t^6.474)/g1^60 + 2*g1^84*t^6.536 + 2*g1^50*t^6.605 + 4*g1^16*t^6.673 + t^6.742/g1^18 + t^6.811/g1^52 + g1^92*t^6.872 + 2*g1^58*t^6.941 + 3*g1^24*t^7.01 + t^7.079/g1^10 + 2*g1^100*t^7.209 + 2*g1^66*t^7.278 + 4*g1^32*t^7.347 + (2*t^7.416)/g1^2 + (2*t^7.485)/g1^36 + g1^108*t^7.546 + t^7.554/g1^70 + 2*g1^74*t^7.615 + 4*g1^40*t^7.684 + 2*g1^6*t^7.753 + (2*t^7.821)/g1^28 + g1^116*t^7.883 + g1^82*t^7.952 + 2*g1^48*t^8.02 + g1^192*t^8.082 + g1^14*t^8.089 - t^8.158/g1^20 + 2*g1^124*t^8.219 + g1^90*t^8.288 + 5*g1^56*t^8.357 + g1^166*t^8.487 + (2*t^8.495)/g1^12 + 2*g1^132*t^8.556 + (2*t^8.564)/g1^46 + 2*g1^98*t^8.625 + (2*t^8.633)/g1^80 + 5*g1^64*t^8.694 + 4*g1^30*t^8.763 + (5*t^8.832)/g1^4 + g1^140*t^8.893 + (2*t^8.9)/g1^38 + 2*g1^106*t^8.962 + t^8.969/g1^72 - t^4.416/(g1^2*y) - (g1^46*t^6.436)/y - t^6.574/(g1^22*y) - (g1^20*t^6.842)/y + (2*g1^28*t^7.179)/y + t^7.247/(g1^6*y) + (g1^70*t^7.446)/y + (g1^36*t^7.515)/y + (g1^10*t^7.921)/y + t^7.99/(g1^24*y) + (2*g1^52*t^8.189)/y + (2*g1^18*t^8.258)/y + (2*t^8.327)/(g1^16*y) + (2*t^8.395)/(g1^50*y) - (g1^94*t^8.457)/y + (g1^60*t^8.526)/y + (g1^26*t^8.594)/y + (4*t^8.663)/(g1^8*y) + (2*g1^34*t^8.931)/y - (t^4.416*y)/g1^2 - g1^46*t^6.436*y - (t^6.574*y)/g1^22 - g1^20*t^6.842*y + 2*g1^28*t^7.179*y + (t^7.247*y)/g1^6 + g1^70*t^7.446*y + g1^36*t^7.515*y + g1^10*t^7.921*y + (t^7.99*y)/g1^24 + 2*g1^52*t^8.189*y + 2*g1^18*t^8.258*y + (2*t^8.327*y)/g1^16 + (2*t^8.395*y)/g1^50 - g1^94*t^8.457*y + g1^60*t^8.526*y + g1^26*t^8.594*y + (4*t^8.663*y)/g1^8 + 2*g1^34*t^8.931*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 |
|---|---|---|---|---|---|---|---|---|
| 6656 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.705 | 0.9096 | 0.7751 | [M:[1.081, 0.8073, 1.0559, 0.8324, 1.1676, 0.6704, 0.7207, 1.0559, 0.6955], q:[0.5154, 0.4036], qb:[0.4288, 0.764], phi:[0.4721]] | t^2.011 + t^2.087 + t^2.162 + t^2.422 + t^2.497 + 2*t^3.168 + t^3.243 + t^3.503 + t^3.838 + t^4.022 + t^4.098 + 3*t^4.173 + 2*t^4.249 + t^4.324 + t^4.433 + 3*t^4.508 + 2*t^4.584 + t^4.659 + t^4.844 + t^4.919 + t^4.994 + 2*t^5.179 + 3*t^5.254 + 3*t^5.33 + t^5.405 + t^5.514 + 3*t^5.589 + 3*t^5.665 + t^5.849 + t^5.925 - t^6. - t^4.416/y - t^4.416*y | detail | |
| 6655 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.7046 | 0.9074 | 0.7765 | [M:[1.0744, 0.8121, 1.0567, 0.8298, 1.1702, 0.6809, 0.7163, 1.0567, 0.7163], q:[0.5195, 0.406], qb:[0.4237, 0.7642], phi:[0.4716]] | t^2.043 + 2*t^2.149 + t^2.436 + t^2.489 + 2*t^3.17 + t^3.223 + t^3.511 + t^3.904 + t^4.085 + 3*t^4.192 + t^4.245 + 3*t^4.298 + t^4.479 + 2*t^4.532 + 2*t^4.585 + 2*t^4.638 + t^4.872 + t^4.926 + t^4.979 + 2*t^5.213 + t^5.266 + 4*t^5.319 + 2*t^5.372 + t^5.553 + 2*t^5.606 + 4*t^5.66 + t^5.947 - 2*t^6. - t^4.415/y - t^4.415*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3177 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6897 | 0.8784 | 0.7852 | [M:[1.0758, 0.8111, 1.0566, 0.8303, 1.1697, 0.6787, 0.7172], q:[0.5186, 0.4055], qb:[0.4248, 0.7641], phi:[0.4717]] | t^2.036 + t^2.152 + t^2.433 + t^2.491 + t^2.83 + t^3.17 + t^3.227 + t^3.509 + t^3.848 + t^3.906 + t^4.072 + 2*t^4.188 + t^4.245 + t^4.303 + t^4.469 + 2*t^4.527 + t^4.585 + t^4.643 + 2*t^4.866 + t^4.924 + 2*t^4.982 + t^5.206 + 2*t^5.264 + 2*t^5.321 + t^5.379 + t^5.545 + t^5.603 + 3*t^5.661 + t^5.884 + t^5.942 - t^4.415/y - t^4.415*y | detail |