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 |
|---|---|---|---|---|---|---|---|---|---|
| 1793 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.61 | 0.7861 | 0.776 | [M:[0.9754, 1.0739, 0.9754, 0.7192], q:[0.7438, 0.2808], qb:[0.4877, 0.4384], phi:[0.5123]] | [M:[[4], [-12], [4], [5]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | 2*t^2.158 + t^2.305 + 2*t^2.926 + 2*t^3.222 + t^3.547 + 2*t^3.695 + t^4.168 + 4*t^4.315 + 3*t^4.463 + t^4.611 + 4*t^5.084 + 2*t^5.232 + 3*t^5.379 + t^5.527 + 2*t^5.704 + 6*t^5.852 - 2*t^6. + t^6.148 + 2*t^6.325 + 3*t^6.443 + 7*t^6.473 + 6*t^6.621 + t^6.768 + 2*t^6.916 - t^7.064 + 2*t^7.094 + 8*t^7.241 + 5*t^7.389 + 3*t^7.537 + t^7.685 + t^7.714 + t^7.832 + 5*t^7.862 + 9*t^8.01 - 3*t^8.158 - 2*t^8.305 + t^8.335 - t^8.453 + 4*t^8.483 + 4*t^8.601 + 11*t^8.631 + t^8.749 + 11*t^8.778 - 4*t^8.926 - t^4.537/y - t^6.695/y + (2*t^7.315)/y + t^7.463/y + t^7.611/y - t^7.759/y + (4*t^8.084)/y + (2*t^8.232)/y + (5*t^8.379)/y + (2*t^8.527)/y + (2*t^8.704)/y + (5*t^8.852)/y - t^4.537*y - t^6.695*y + 2*t^7.315*y + t^7.463*y + t^7.611*y - t^7.759*y + 4*t^8.084*y + 2*t^8.232*y + 5*t^8.379*y + 2*t^8.527*y + 2*t^8.704*y + 5*t^8.852*y | 2*g1^5*t^2.158 + t^2.305/g1^3 + 2*g1^4*t^2.926 + (2*t^3.222)/g1^12 + g1^11*t^3.547 + 2*g1^3*t^3.695 + g1^18*t^4.168 + 4*g1^10*t^4.315 + 3*g1^2*t^4.463 + t^4.611/g1^6 + 4*g1^9*t^5.084 + 2*g1*t^5.232 + (3*t^5.379)/g1^7 + t^5.527/g1^15 + 2*g1^16*t^5.704 + 6*g1^8*t^5.852 - 2*t^6. + t^6.148/g1^8 + 2*g1^23*t^6.325 + (3*t^6.443)/g1^24 + 7*g1^15*t^6.473 + 6*g1^7*t^6.621 + t^6.768/g1 + (2*t^6.916)/g1^9 - t^7.064/g1^17 + 2*g1^22*t^7.094 + 8*g1^14*t^7.241 + 5*g1^6*t^7.389 + (3*t^7.537)/g1^2 + t^7.685/g1^10 + g1^29*t^7.714 + t^7.832/g1^18 + 5*g1^21*t^7.862 + 9*g1^13*t^8.01 - 3*g1^5*t^8.158 - (2*t^8.305)/g1^3 + g1^36*t^8.335 - t^8.453/g1^11 + 4*g1^28*t^8.483 + (4*t^8.601)/g1^19 + 11*g1^20*t^8.631 + t^8.749/g1^27 + 11*g1^12*t^8.778 - 4*g1^4*t^8.926 - t^4.537/(g1^2*y) - (g1^3*t^6.695)/y + (2*g1^10*t^7.315)/y + (g1^2*t^7.463)/y + t^7.611/(g1^6*y) - t^7.759/(g1^14*y) + (4*g1^9*t^8.084)/y + (2*g1*t^8.232)/y + (5*t^8.379)/(g1^7*y) + (2*t^8.527)/(g1^15*y) + (2*g1^16*t^8.704)/y + (5*g1^8*t^8.852)/y - (t^4.537*y)/g1^2 - g1^3*t^6.695*y + 2*g1^10*t^7.315*y + g1^2*t^7.463*y + (t^7.611*y)/g1^6 - (t^7.759*y)/g1^14 + 4*g1^9*t^8.084*y + 2*g1*t^8.232*y + (5*t^8.379*y)/g1^7 + (2*t^8.527*y)/g1^15 + 2*g1^16*t^8.704*y + 5*g1^8*t^8.852*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 |
|---|---|---|---|---|---|---|---|---|
| 2804 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6262 | 0.8137 | 0.7696 | [M:[0.9849, 1.0452, 0.9849, 0.7312, 0.7914], q:[0.7462, 0.2688], qb:[0.4925, 0.4623], phi:[0.5075]] | 2*t^2.193 + t^2.284 + t^2.374 + 2*t^2.955 + 2*t^3.136 + 2*t^3.716 + t^4.297 + 4*t^4.387 + 3*t^4.477 + 3*t^4.568 + t^4.658 + t^4.749 + 4*t^5.148 + 2*t^5.239 + 5*t^5.329 + t^5.42 + 2*t^5.51 + 5*t^5.91 - 2*t^6. - t^4.523/y - t^4.523*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 |
|---|---|---|---|---|---|---|---|---|---|
| 346 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6106 | 0.7864 | 0.7765 | [M:[0.9696, 1.0912, 0.9696, 0.7332], q:[0.7424, 0.288], qb:[0.4636, 0.4453], phi:[0.5152]] | 2*t^2.2 + t^2.255 + 2*t^2.909 + 2*t^3.274 + t^3.563 + t^3.618 + t^3.745 + t^4.217 + t^4.272 + t^4.327 + 3*t^4.399 + 2*t^4.454 + t^4.509 + 4*t^5.109 + 2*t^5.163 + 3*t^5.473 + t^5.528 + 2*t^5.763 + 5*t^5.818 + t^5.873 + t^5.945 - 3*t^6. - t^4.546/y - t^4.546*y | detail |