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 |
|---|---|---|---|---|---|---|---|---|---|
| 1913 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6332 | 0.8288 | 0.764 | [M:[0.9677, 1.0969, 0.9031, 0.7096, 0.7742], q:[0.7419, 0.2904], qb:[0.4838, 0.4192], phi:[0.5162]] | [M:[[4], [-12], [12], [5], [-3]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0 | 2*t^2.129 + 2*t^2.323 + t^2.709 + t^2.903 + t^3.097 + t^3.291 + t^3.483 + t^3.677 + t^4.064 + 4*t^4.258 + 5*t^4.452 + 3*t^4.645 + 2*t^4.838 + 4*t^5.032 + 4*t^5.226 + t^5.418 + 3*t^5.42 + 3*t^5.612 + t^5.614 + 4*t^5.806 + 3*t^6.193 - t^6.194 + 8*t^6.386 + t^6.388 + 8*t^6.58 + t^6.582 + t^6.773 + 6*t^6.774 + 5*t^6.967 + 2*t^6.968 + 9*t^7.161 - t^7.162 + 8*t^7.355 + 3*t^7.547 + 5*t^7.548 + 8*t^7.741 + 2*t^7.742 + 7*t^7.935 + t^7.936 + 2*t^8.128 + 7*t^8.321 - 5*t^8.323 + 15*t^8.515 - 2*t^8.517 + 12*t^8.709 + 2*t^8.71 + 3*t^8.902 + 4*t^8.903 + t^8.904 - t^4.548/y - t^6.677/y - t^6.871/y + t^7.258/y + (4*t^7.452)/y + t^7.645/y + (2*t^7.838)/y + (4*t^8.032)/y + (5*t^8.226)/y + (5*t^8.42)/y + (3*t^8.612)/y + (2*t^8.614)/y + (4*t^8.806)/y - t^4.548*y - t^6.677*y - t^6.871*y + t^7.258*y + 4*t^7.452*y + t^7.645*y + 2*t^7.838*y + 4*t^8.032*y + 5*t^8.226*y + 5*t^8.42*y + 3*t^8.612*y + 2*t^8.614*y + 4*t^8.806*y | 2*g1^5*t^2.129 + (2*t^2.323)/g1^3 + g1^12*t^2.709 + g1^4*t^2.903 + t^3.097/g1^4 + t^3.291/g1^12 + g1^11*t^3.483 + g1^3*t^3.677 + g1^18*t^4.064 + 4*g1^10*t^4.258 + 5*g1^2*t^4.452 + (3*t^4.645)/g1^6 + 2*g1^17*t^4.838 + 4*g1^9*t^5.032 + 4*g1*t^5.226 + g1^24*t^5.418 + (3*t^5.42)/g1^7 + 3*g1^16*t^5.612 + t^5.614/g1^15 + 4*g1^8*t^5.806 + 3*g1^23*t^6.193 - t^6.194/g1^8 + 8*g1^15*t^6.386 + t^6.388/g1^16 + 8*g1^7*t^6.58 + t^6.582/g1^24 + g1^30*t^6.773 + (6*t^6.774)/g1 + 5*g1^22*t^6.967 + (2*t^6.968)/g1^9 + 9*g1^14*t^7.161 - t^7.162/g1^17 + 8*g1^6*t^7.355 + 3*g1^29*t^7.547 + (5*t^7.548)/g1^2 + 8*g1^21*t^7.741 + (2*t^7.742)/g1^10 + 7*g1^13*t^7.935 + t^7.936/g1^18 + 2*g1^36*t^8.128 + 7*g1^28*t^8.321 - (5*t^8.323)/g1^3 + 15*g1^20*t^8.515 - (2*t^8.517)/g1^11 + 12*g1^12*t^8.709 + (2*t^8.71)/g1^19 + 3*g1^35*t^8.902 + 4*g1^4*t^8.903 + t^8.904/g1^27 - t^4.548/(g1^2*y) - (g1^3*t^6.677)/y - t^6.871/(g1^5*y) + (g1^10*t^7.258)/y + (4*g1^2*t^7.452)/y + t^7.645/(g1^6*y) + (2*g1^17*t^7.838)/y + (4*g1^9*t^8.032)/y + (5*g1*t^8.226)/y + (5*t^8.42)/(g1^7*y) + (3*g1^16*t^8.612)/y + (2*t^8.614)/(g1^15*y) + (4*g1^8*t^8.806)/y - (t^4.548*y)/g1^2 - g1^3*t^6.677*y - (t^6.871*y)/g1^5 + g1^10*t^7.258*y + 4*g1^2*t^7.452*y + (t^7.645*y)/g1^6 + 2*g1^17*t^7.838*y + 4*g1^9*t^8.032*y + 5*g1*t^8.226*y + (5*t^8.42*y)/g1^7 + 3*g1^16*t^8.612*y + (2*t^8.614*y)/g1^15 + 4*g1^8*t^8.806*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 |
|---|---|---|---|---|---|---|---|---|
| 2945 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6512 | 0.8604 | 0.7568 | [M:[0.9698, 1.0907, 0.9093, 0.7122, 0.7727, 0.7727], q:[0.7424, 0.2878], qb:[0.4849, 0.4244], phi:[0.5151]] | 2*t^2.137 + 3*t^2.318 + t^2.728 + t^2.909 + t^3.091 + t^3.272 + t^3.501 + t^4.092 + 4*t^4.273 + 7*t^4.455 + 6*t^4.636 + 2*t^4.865 + 5*t^5.046 + 5*t^5.227 + 4*t^5.409 + t^5.456 + 2*t^5.59 + 3*t^5.637 + 3*t^5.819 - 2*t^6. - t^4.545/y - t^4.545*y | detail | |
| 2944 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6481 | 0.853 | 0.7598 | [M:[0.9775, 1.0675, 0.9325, 0.7219, 0.7669, 0.8118], q:[0.7444, 0.2781], qb:[0.4888, 0.4438], phi:[0.5112]] | 2*t^2.166 + 2*t^2.301 + t^2.436 + t^2.798 + t^2.933 + t^3.067 + t^3.202 + t^3.699 + t^4.196 + 4*t^4.331 + 5*t^4.466 + 5*t^4.601 + 2*t^4.736 + t^4.871 + 2*t^4.963 + 4*t^5.098 + 5*t^5.233 + 4*t^5.368 + 2*t^5.503 + t^5.595 + t^5.638 + t^5.73 + 2*t^5.865 - t^4.534/y - t^4.534*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 |
|---|---|---|---|---|---|---|---|---|---|
| 559 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6365 | 0.835 | 0.7622 | [M:[0.9558, 1.1325, 0.8675, 0.739, 0.739], q:[0.739, 0.3052], qb:[0.4338, 0.4338], phi:[0.5221]] | 4*t^2.217 + t^2.603 + t^2.868 + t^3.132 + t^3.397 + 2*t^3.518 + 3*t^4.169 + 10*t^4.434 + 4*t^4.819 + 4*t^5.084 + t^5.205 + 4*t^5.349 + t^5.47 + 2*t^5.614 + 9*t^5.735 - 4*t^6. - t^4.566/y - t^4.566*y | detail |