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 |
|---|---|---|---|---|---|---|---|---|---|
| 3897 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.68 | 0.8625 | 0.7884 | [M:[0.816, 1.0613, 1.184, 0.6933, 0.6933, 1.04, 0.9387], q:[0.4187, 0.7653], qb:[0.3973, 0.5413], phi:[0.4693]] | [M:[[-12], [4], [12], [-20], [-20], [-30], [-4]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -2 | 2*t^2.08 + t^2.448 + 2*t^2.816 + t^3.12 + t^3.488 + t^3.552 + t^3.792 + t^3.856 + 3*t^4.16 + t^4.224 + t^4.288 + 2*t^4.528 + t^4.656 + 5*t^4.896 + 2*t^5.2 + 2*t^5.264 + 2*t^5.568 + 4*t^5.632 + 2*t^5.872 + 4*t^5.936 - 2*t^6. - t^6.064 + 6*t^6.24 + 4*t^6.304 + t^6.368 - t^6.432 + 6*t^6.608 + 2*t^6.672 + t^6.736 + t^6.912 + 8*t^6.976 + t^7.104 + 4*t^7.28 + 6*t^7.344 - 2*t^7.408 + t^7.584 + 4*t^7.648 + 9*t^7.712 - 2*t^7.84 + 3*t^7.952 + 8*t^8.016 - 2*t^8.08 - 3*t^8.144 + 9*t^8.32 + 7*t^8.384 + 2*t^8.448 - 3*t^8.512 + 11*t^8.688 + 7*t^8.752 - 6*t^8.816 - 2*t^8.88 + t^8.944 + 2*t^8.992 - t^4.408/y - (2*t^6.488)/y + t^7.16/y - t^7.224/y + t^7.288/y + t^7.528/y + t^7.592/y + (4*t^7.896)/y + (2*t^8.2)/y + (2*t^8.264)/y + (2*t^8.328)/y + (3*t^8.632)/y + (2*t^8.872)/y + (5*t^8.936)/y - t^4.408*y - 2*t^6.488*y + t^7.16*y - t^7.224*y + t^7.288*y + t^7.528*y + t^7.592*y + 4*t^7.896*y + 2*t^8.2*y + 2*t^8.264*y + 2*t^8.328*y + 3*t^8.632*y + 2*t^8.872*y + 5*t^8.936*y | (2*t^2.08)/g1^20 + t^2.448/g1^12 + (2*t^2.816)/g1^4 + t^3.12/g1^30 + t^3.488/g1^22 + g1^12*t^3.552 + t^3.792/g1^48 + t^3.856/g1^14 + (3*t^4.16)/g1^40 + t^4.224/g1^6 + g1^28*t^4.288 + (2*t^4.528)/g1^32 + g1^36*t^4.656 + (5*t^4.896)/g1^24 + (2*t^5.2)/g1^50 + (2*t^5.264)/g1^16 + (2*t^5.568)/g1^42 + (4*t^5.632)/g1^8 + (2*t^5.872)/g1^68 + (4*t^5.936)/g1^34 - 2*t^6. - g1^34*t^6.064 + (6*t^6.24)/g1^60 + (4*t^6.304)/g1^26 + g1^8*t^6.368 - g1^42*t^6.432 + (6*t^6.608)/g1^52 + (2*t^6.672)/g1^18 + g1^16*t^6.736 + t^6.912/g1^78 + (8*t^6.976)/g1^44 + g1^24*t^7.104 + (4*t^7.28)/g1^70 + (6*t^7.344)/g1^36 - (2*t^7.408)/g1^2 + t^7.584/g1^96 + (4*t^7.648)/g1^62 + (9*t^7.712)/g1^28 - 2*g1^40*t^7.84 + (3*t^7.952)/g1^88 + (8*t^8.016)/g1^54 - (2*t^8.08)/g1^20 - 3*g1^14*t^8.144 + (9*t^8.32)/g1^80 + (7*t^8.384)/g1^46 + (2*t^8.448)/g1^12 - 3*g1^22*t^8.512 + (11*t^8.688)/g1^72 + (7*t^8.752)/g1^38 - (6*t^8.816)/g1^4 - 2*g1^30*t^8.88 + g1^64*t^8.944 + (2*t^8.992)/g1^98 - t^4.408/(g1^2*y) - (2*t^6.488)/(g1^22*y) + t^7.16/(g1^40*y) - t^7.224/(g1^6*y) + (g1^28*t^7.288)/y + t^7.528/(g1^32*y) + (g1^2*t^7.592)/y + (4*t^7.896)/(g1^24*y) + (2*t^8.2)/(g1^50*y) + (2*t^8.264)/(g1^16*y) + (2*g1^18*t^8.328)/y + (3*t^8.632)/(g1^8*y) + (2*t^8.872)/(g1^68*y) + (5*t^8.936)/(g1^34*y) - (t^4.408*y)/g1^2 - (2*t^6.488*y)/g1^22 + (t^7.16*y)/g1^40 - (t^7.224*y)/g1^6 + g1^28*t^7.288*y + (t^7.528*y)/g1^32 + g1^2*t^7.592*y + (4*t^7.896*y)/g1^24 + (2*t^8.2*y)/g1^50 + (2*t^8.264*y)/g1^16 + 2*g1^18*t^8.328*y + (3*t^8.632*y)/g1^8 + (2*t^8.872*y)/g1^68 + (5*t^8.936*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5481 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.7003 | 0.9002 | 0.7779 | [M:[0.8178, 1.0607, 1.1822, 0.6964, 0.6964, 1.0445, 0.9393, 0.7125], q:[0.417, 0.7652], qb:[0.4008, 0.5385], phi:[0.4696]] | 2*t^2.089 + t^2.138 + t^2.453 + 2*t^2.818 + t^3.134 + t^3.498 + t^3.547 + t^3.814 + 3*t^4.178 + 3*t^4.227 + 2*t^4.275 + 2*t^4.543 + t^4.591 + t^4.64 + 5*t^4.907 + 2*t^4.955 + 2*t^5.223 + 3*t^5.271 + 2*t^5.587 + 5*t^5.636 + t^5.684 + 2*t^5.903 + 3*t^5.951 - 2*t^6. - t^4.409/y - t^4.409*y | detail | |
| 5480 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7 | 0.8986 | 0.779 | [M:[0.8221, 1.0593, 1.1779, 0.7035, 0.7035, 1.0553, 0.9407, 0.7115], q:[0.4131, 0.7648], qb:[0.4091, 0.5316], phi:[0.4704]] | 2*t^2.111 + t^2.135 + t^2.466 + 2*t^2.822 + t^3.166 + t^3.522 + t^3.534 + t^3.877 + 3*t^4.221 + t^4.233 + 3*t^4.245 + t^4.269 + 2*t^4.577 + 2*t^4.601 + 5*t^4.933 + 2*t^4.957 + 2*t^5.277 + 2*t^5.288 + t^5.3 + 2*t^5.632 + 4*t^5.644 + t^5.656 + t^5.668 + 4*t^5.988 - 2*t^6. - t^4.411/y - t^4.411*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3411 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6744 | 0.8525 | 0.7911 | [M:[0.818, 1.0607, 1.182, 0.6966, 0.6966, 1.0449], q:[0.4169, 0.7652], qb:[0.4011, 0.5382], phi:[0.4697]] | 2*t^2.09 + t^2.454 + t^2.818 + t^3.135 + t^3.182 + t^3.499 + t^3.546 + t^3.815 + t^3.863 + 3*t^4.18 + t^4.227 + t^4.274 + 2*t^4.544 + t^4.638 + 3*t^4.908 + 2*t^5.224 + 3*t^5.272 + 2*t^5.589 + 3*t^5.636 + 2*t^5.905 + 3*t^5.953 - t^6. - t^4.409/y - t^4.409*y | detail |