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 |
|---|---|---|---|---|---|---|---|---|---|
| 46126 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ | 0.6101 | 0.7833 | 0.7789 | [M:[0.9726, 0.798, 1.0274], q:[0.7431, 0.2843], qb:[0.4589, 0.4589], phi:[0.5137]] | [M:[[4], [-7], [-4]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 2*t^2.229 + t^2.394 + t^2.753 + 2*t^3.082 + t^3.247 + t^3.606 + 2*t^3.771 + 3*t^4.294 + 3*t^4.459 + 2*t^4.623 + t^4.788 + 2*t^4.983 + t^5.147 + 4*t^5.312 + 2*t^5.476 + t^5.506 + t^5.641 + 3*t^5.835 + 3*t^6.165 + 2*t^6.329 + t^6.359 + t^6.494 + 4*t^6.524 + 5*t^6.688 + 4*t^6.853 + 2*t^7.017 + 3*t^7.047 + t^7.182 + t^7.212 + 5*t^7.377 + 5*t^7.541 + 3*t^7.706 + 2*t^7.736 + 2*t^7.87 + 2*t^7.9 + t^8.035 + 5*t^8.065 - 3*t^8.229 + t^8.259 + 2*t^8.394 + 3*t^8.559 + 8*t^8.589 + 2*t^8.723 + t^8.753 + t^8.888 + 5*t^8.918 - t^4.541/y - t^6.935/y + (2*t^7.459)/y + t^7.623/y + (2*t^7.983)/y + (2*t^8.147)/y + (4*t^8.312)/y + (4*t^8.476)/y + t^8.641/y + (4*t^8.835)/y - t^4.541*y - t^6.935*y + 2*t^7.459*y + t^7.623*y + 2*t^7.983*y + 2*t^8.147*y + 4*t^8.312*y + 4*t^8.476*y + t^8.641*y + 4*t^8.835*y | 2*g1*t^2.229 + t^2.394/g1^7 + g1^12*t^2.753 + (2*t^3.082)/g1^4 + t^3.247/g1^12 + g1^7*t^3.606 + (2*t^3.771)/g1 + 3*g1^10*t^4.294 + 3*g1^2*t^4.459 + (2*t^4.623)/g1^6 + t^4.788/g1^14 + 2*g1^13*t^4.983 + g1^5*t^5.147 + (4*t^5.312)/g1^3 + (2*t^5.476)/g1^11 + g1^24*t^5.506 + t^5.641/g1^19 + 3*g1^8*t^5.835 + (3*t^6.165)/g1^8 + (2*t^6.329)/g1^16 + g1^19*t^6.359 + t^6.494/g1^24 + 4*g1^11*t^6.524 + 5*g1^3*t^6.688 + (4*t^6.853)/g1^5 + (2*t^7.017)/g1^13 + 3*g1^22*t^7.047 + t^7.182/g1^21 + g1^14*t^7.212 + 5*g1^6*t^7.377 + (5*t^7.541)/g1^2 + (3*t^7.706)/g1^10 + 2*g1^25*t^7.736 + (2*t^7.87)/g1^18 + 2*g1^17*t^7.9 + t^8.035/g1^26 + 5*g1^9*t^8.065 - 3*g1*t^8.229 + g1^36*t^8.259 + (2*t^8.394)/g1^7 + (3*t^8.559)/g1^15 + 8*g1^20*t^8.589 + (2*t^8.723)/g1^23 + g1^12*t^8.753 + t^8.888/g1^31 + 5*g1^4*t^8.918 - t^4.541/(g1^2*y) - t^6.935/(g1^9*y) + (2*g1^2*t^7.459)/y + t^7.623/(g1^6*y) + (2*g1^13*t^7.983)/y + (2*g1^5*t^8.147)/y + (4*t^8.312)/(g1^3*y) + (4*t^8.476)/(g1^11*y) + t^8.641/(g1^19*y) + (4*g1^8*t^8.835)/y - (t^4.541*y)/g1^2 - (t^6.935*y)/g1^9 + 2*g1^2*t^7.459*y + (t^7.623*y)/g1^6 + 2*g1^13*t^7.983*y + 2*g1^5*t^8.147*y + (4*t^8.312*y)/g1^3 + (4*t^8.476*y)/g1^11 + (t^8.641*y)/g1^19 + 4*g1^8*t^8.835*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 |
|---|---|---|---|---|---|---|---|---|
| 46526 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6057 | 0.7801 | 0.7765 | [M:[0.9474, 0.8421, 1.0526], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 2*t^2.211 + 2*t^2.526 + 2*t^3.158 + 2*t^3.474 + 2*t^3.789 + 3*t^4.105 + 3*t^4.421 + 4*t^4.737 + 3*t^5.053 + 4*t^5.368 + 5*t^5.684 + 2*t^6. - t^4.579/y - t^4.579*y | detail | {a: 66477/109744, c: 42805/54872, M1: 18/19, M2: 16/19, M3: 20/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
| 46501 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6294 | 0.8187 | 0.7688 | [M:[0.9719, 0.7992, 1.0281, 0.743], q:[0.743, 0.2852], qb:[0.4578, 0.4578], phi:[0.5141]] | 3*t^2.229 + t^2.398 + t^2.747 + 2*t^3.084 + t^3.253 + t^3.602 + t^3.771 + 3*t^4.289 + 6*t^4.458 + 3*t^4.627 + t^4.795 + 3*t^4.976 + t^5.145 + 6*t^5.313 + 3*t^5.482 + t^5.494 + t^5.651 + 4*t^5.831 - t^6. - t^4.542/y - t^4.542*y | detail | |
| 46789 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.62 | 0.8023 | 0.7727 | [M:[0.9554, 0.828, 1.0446, 0.8663], q:[0.7389, 0.3057], qb:[0.4331, 0.4331], phi:[0.5223]] | 2*t^2.217 + t^2.484 + 2*t^2.599 + 2*t^3.134 + t^3.516 + 2*t^3.783 + 3*t^4.166 + 3*t^4.433 + 2*t^4.701 + 4*t^4.815 + t^4.968 + 2*t^5.083 + 3*t^5.198 + 4*t^5.35 + 5*t^5.733 - t^6. - t^4.567/y - t^4.567*y | detail | |
| 46433 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6053 | 0.7762 | 0.7798 | [M:[0.9931, 0.7621, 1.0069, 1.0207], q:[0.7483, 0.2586], qb:[0.4897, 0.4897], phi:[0.5034]] | 2*t^2.245 + t^2.286 + 2*t^3.021 + 2*t^3.062 + t^3.714 + 2*t^3.755 + 3*t^4.448 + 3*t^4.49 + 2*t^4.531 + t^4.572 + 4*t^5.266 + 4*t^5.307 + 2*t^5.348 + t^5.959 - t^6. - t^4.51/y - t^4.51*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45973 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0.613 | 0.7886 | 0.7773 | [M:[0.9658, 0.8098], q:[0.7415, 0.2927], qb:[0.4487, 0.4487], phi:[0.5171]] | 2*t^2.224 + t^2.429 + t^2.692 + t^2.897 + t^3.103 + t^3.308 + t^3.571 + 2*t^3.776 + 3*t^4.244 + 3*t^4.449 + 2*t^4.654 + t^4.859 + 2*t^4.917 + 3*t^5.122 + 3*t^5.327 + t^5.385 + t^5.532 + t^5.59 + t^5.737 + 3*t^5.795 + t^6. - t^4.551/y - t^4.551*y | detail |