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 |
|---|---|---|---|---|---|---|---|---|---|
| 1330 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}^{2}$ + ${ }M_{6}M_{7}$ | 0.7002 | 0.8574 | 0.8166 | [M:[0.9664, 1.0309, 0.9719, 0.9383, 1.0, 1.0617, 0.9383], q:[0.5785, 0.4551], qb:[0.4832, 0.5449], phi:[0.4846]] | [M:[[8, 0], [-2, 2], [-4, -4], [4, -4], [0, 0], [-4, 4], [4, -4]], q:[[-8, 4], [0, -4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{2}$ | ${}$ | -3 | 2*t^2.815 + t^2.899 + t^2.916 + t^3. + t^3.093 + t^3.37 + t^4.184 + t^4.269 + t^4.353 + t^4.454 + t^4.538 + t^4.555 + t^4.639 + t^4.723 + t^4.824 + t^4.925 + 2*t^5.63 + t^5.714 + t^5.731 + t^5.798 + 2*t^5.815 + t^5.831 + 2*t^5.907 + t^5.992 - 3*t^6. + t^6.008 - t^6.084 + t^6.093 - t^6.101 + t^6.185 + t^6.463 + t^6.741 + 2*t^6.999 + 2*t^7.083 + t^7.1 + 2*t^7.168 + t^7.184 + t^7.252 + 2*t^7.269 + 2*t^7.353 + t^7.369 + t^7.437 + t^7.454 + t^7.47 + 2*t^7.538 + t^7.555 + t^7.622 + t^7.639 + t^7.723 + t^7.74 + t^7.824 + t^7.841 + t^7.925 + t^8.094 + t^8.194 + t^8.295 + t^8.368 + 2*t^8.444 + t^8.453 + t^8.529 + t^8.537 + t^8.613 + t^8.621 + t^8.63 + t^8.638 + t^8.646 + t^8.697 + t^8.706 + 3*t^8.722 + t^8.739 + t^8.747 + 2*t^8.806 - 6*t^8.815 + 2*t^8.823 + 2*t^8.891 - 5*t^8.899 + 4*t^8.907 - 4*t^8.916 + t^8.924 - t^8.983 + 2*t^8.992 - t^4.454/y - t^7.269/y - t^7.353/y - t^7.369/y + t^7.538/y + t^7.555/y + t^7.639/y + t^8.63/y + (2*t^8.714)/y + (2*t^8.731)/y + (3*t^8.815)/y + t^8.899/y + (2*t^8.907)/y + t^8.916/y + t^8.992/y - t^4.454*y - t^7.269*y - t^7.353*y - t^7.369*y + t^7.538*y + t^7.555*y + t^7.639*y + t^8.63*y + 2*t^8.714*y + 2*t^8.731*y + 3*t^8.815*y + t^8.899*y + 2*t^8.907*y + t^8.916*y + t^8.992*y | (2*g1^4*t^2.815)/g2^4 + g1^8*t^2.899 + t^2.916/(g1^4*g2^4) + t^3. + (g2^2*t^3.093)/g1^2 + (g2^8*t^3.37)/g1^8 + (g1*t^4.184)/g2^9 + (g1^5*t^4.269)/g2^5 + (g1^9*t^4.353)/g2 + (g1*t^4.454)/g2 + g1^5*g2^3*t^4.538 + t^4.555/(g1^7*g2) + (g2^3*t^4.639)/g1^3 + g1*g2^7*t^4.723 + (g2^7*t^4.824)/g1^7 + (g2^7*t^4.925)/g1^15 + (2*g1^8*t^5.63)/g2^8 + (g1^12*t^5.714)/g2^4 + t^5.731/g2^8 + g1^16*t^5.798 + (2*g1^4*t^5.815)/g2^4 + t^5.831/(g1^8*g2^8) + (2*g1^2*t^5.907)/g2^2 + g1^6*g2^2*t^5.992 - 3*t^6. + t^6.008/(g1^6*g2^2) - g1^4*g2^4*t^6.084 + (g2^2*t^6.093)/g1^2 - t^6.101/g1^8 + (g2^4*t^6.185)/g1^4 + (g2^10*t^6.463)/g1^10 + (g2^16*t^6.741)/g1^16 + (2*g1^5*t^6.999)/g2^13 + (2*g1^9*t^7.083)/g2^9 + t^7.1/(g1^3*g2^13) + (2*g1^13*t^7.168)/g2^5 + (g1*t^7.184)/g2^9 + (g1^17*t^7.252)/g2 + (2*g1^5*t^7.269)/g2^5 + (2*g1^9*t^7.353)/g2 + t^7.369/(g1^3*g2^5) + g1^13*g2^3*t^7.437 + (g1*t^7.454)/g2 + t^7.47/(g1^11*g2^5) + 2*g1^5*g2^3*t^7.538 + t^7.555/(g1^7*g2) + g1^9*g2^7*t^7.622 + (g2^3*t^7.639)/g1^3 + g1*g2^7*t^7.723 + (g2^3*t^7.74)/g1^11 + (g2^7*t^7.824)/g1^7 + (g2^3*t^7.841)/g1^19 + (g2^7*t^7.925)/g1^15 + (g2^15*t^8.094)/g1^7 + (g2^15*t^8.194)/g1^15 + (g2^15*t^8.295)/g1^23 + (g1^2*t^8.368)/g2^18 + (2*g1^12*t^8.444)/g2^12 + (g1^6*t^8.453)/g2^14 + (g1^16*t^8.529)/g2^8 + (g1^10*t^8.537)/g2^10 + (g1^20*t^8.613)/g2^4 + (g1^14*t^8.621)/g2^6 + (g1^8*t^8.63)/g2^8 + (g1^2*t^8.638)/g2^10 + t^8.646/(g1^4*g2^12) + g1^24*t^8.697 + (g1^18*t^8.706)/g2^2 + (3*g1^6*t^8.722)/g2^6 + t^8.739/(g1^6*g2^10) + t^8.747/(g1^12*g2^12) + (2*g1^10*t^8.806)/g2^2 - (6*g1^4*t^8.815)/g2^4 + (2*t^8.823)/(g1^2*g2^6) + 2*g1^14*g2^2*t^8.891 - 5*g1^8*t^8.899 + (4*g1^2*t^8.907)/g2^2 - (4*t^8.916)/(g1^4*g2^4) + t^8.924/(g1^10*g2^6) - g1^12*g2^4*t^8.983 + 2*g1^6*g2^2*t^8.992 - (g1*t^4.454)/(g2*y) - (g1^5*t^7.269)/(g2^5*y) - (g1^9*t^7.353)/(g2*y) - t^7.369/(g1^3*g2^5*y) + (g1^5*g2^3*t^7.538)/y + t^7.555/(g1^7*g2*y) + (g2^3*t^7.639)/(g1^3*y) + (g1^8*t^8.63)/(g2^8*y) + (2*g1^12*t^8.714)/(g2^4*y) + (2*t^8.731)/(g2^8*y) + (3*g1^4*t^8.815)/(g2^4*y) + (g1^8*t^8.899)/y + (2*g1^2*t^8.907)/(g2^2*y) + t^8.916/(g1^4*g2^4*y) + (g1^6*g2^2*t^8.992)/y - (g1*t^4.454*y)/g2 - (g1^5*t^7.269*y)/g2^5 - (g1^9*t^7.353*y)/g2 - (t^7.369*y)/(g1^3*g2^5) + g1^5*g2^3*t^7.538*y + (t^7.555*y)/(g1^7*g2) + (g2^3*t^7.639*y)/g1^3 + (g1^8*t^8.63*y)/g2^8 + (2*g1^12*t^8.714*y)/g2^4 + (2*t^8.731*y)/g2^8 + (3*g1^4*t^8.815*y)/g2^4 + g1^8*t^8.899*y + (2*g1^2*t^8.907*y)/g2^2 + (t^8.916*y)/(g1^4*g2^4) + g1^6*g2^2*t^8.992*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 |
|---|---|---|---|---|---|---|---|---|
| 2364 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}^{2}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5981 | 0.7588 | 0.7882 | [M:[0.8036, 1.1429, 0.9107, 0.7143, 1.0, 1.2857, 0.7143], q:[0.8839, 0.3125], qb:[0.4018, 0.6875], phi:[0.4286]] | 2*t^2.143 + t^2.411 + t^2.732 + t^3. + t^3.161 + 2*t^3.429 + t^3.696 + 3*t^4.286 + 2*t^4.554 + t^4.714 + t^4.821 + 2*t^4.875 + 3*t^5.143 + 2*t^5.304 + t^5.411 + t^5.464 + 4*t^5.571 + 3*t^5.839 + t^5.893 - 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 52515/87808, c: 66627/87808, M1: 45/56, M2: 8/7, M3: 51/56, M4: 5/7, M5: 1, M6: 9/7, M7: 5/7, q1: 99/112, q2: 5/16, qb1: 45/112, qb2: 11/16, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 835 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}^{2}$ | 0.6954 | 0.8497 | 0.8184 | [M:[0.978, 1.0207, 0.9805, 0.9586, 1.0, 1.0414], q:[0.5524, 0.4696], qb:[0.489, 0.5304], phi:[0.4896]] | t^2.876 + t^2.934 + t^2.942 + t^3. + t^3.062 + t^3.124 + t^3.249 + t^4.286 + t^4.345 + t^4.403 + t^4.469 + t^4.527 + t^4.535 + t^4.593 + t^4.652 + t^4.718 + t^4.783 + t^5.868 + t^5.876 + t^5.883 + t^5.938 + t^5.996 - 2*t^6. - t^4.469/y - t^4.469*y | detail |