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 |
|---|---|---|---|---|---|---|---|---|---|
| 46340 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.7123 | 0.8829 | 0.8068 | [M:[0.6935, 0.6935, 1.0, 1.0], q:[0.7883, 0.5182], qb:[0.5182, 0.4818], phi:[0.4234]] | [M:[[1, 15], [-1, 1], [-1, -7], [1, 7]], q:[[0, -1], [-1, -14]], qb:[[1, 0], [0, 7]], phi:[[0, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}M_{3}^{2}$, ${ }M_{4}^{2}$ | -2 | 2*t^2.081 + t^2.54 + 2*t^3. + t^3.109 + t^3.81 + 4*t^4.161 + 2*t^4.27 + 3*t^4.379 + 2*t^4.621 + 5*t^5.081 + 2*t^5.19 + 2*t^5.54 + t^5.649 - 2*t^6. + t^6.218 + 6*t^6.242 + 4*t^6.351 + 4*t^6.46 + 4*t^6.701 + 2*t^6.81 + 2*t^6.919 + 8*t^7.161 + 3*t^7.27 + 4*t^7.379 + 3*t^7.488 + 5*t^7.621 - 3*t^7.839 - 2*t^8.081 + 9*t^8.322 + 6*t^8.431 + 5*t^8.54 + 2*t^8.649 + 6*t^8.758 + 6*t^8.782 + 3*t^8.891 - t^4.27/y - (2*t^6.351)/y - t^6.81/y + t^7.161/y + (2*t^7.621)/y + t^7.73/y + (4*t^8.081)/y + (4*t^8.19)/y - (3*t^8.431)/y + (2*t^8.54)/y + t^8.649/y - t^4.27*y - 2*t^6.351*y - t^6.81*y + t^7.161*y + 2*t^7.621*y + t^7.73*y + 4*t^8.081*y + 4*t^8.19*y - 3*t^8.431*y + 2*t^8.54*y + t^8.649*y | (g2*t^2.081)/g1 + g1*g2^15*t^2.081 + g2^4*t^2.54 + t^3./(g1*g2^7) + g1*g2^7*t^3. + t^3.109/g2^14 + g2^6*t^3.81 + (g2^2*t^4.161)/g1^2 + 2*g2^16*t^4.161 + g1^2*g2^30*t^4.161 + t^4.27/(g1*g2^5) + g1*g2^9*t^4.27 + t^4.379/(g1^2*g2^26) + t^4.379/g2^12 + g1^2*g2^2*t^4.379 + (g2^5*t^4.621)/g1 + g1*g2^19*t^4.621 + t^5.081/(g1^2*g2^6) + 3*g2^8*t^5.081 + g1^2*g2^22*t^5.081 + t^5.19/(g1*g2^13) + g1*g2*t^5.19 + t^5.54/(g1*g2^3) + g1*g2^11*t^5.54 + t^5.649/g2^10 - 2*t^6. + t^6.218/g2^28 + (g2^3*t^6.242)/g1^3 + (2*g2^17*t^6.242)/g1 + 2*g1*g2^31*t^6.242 + g1^3*g2^45*t^6.242 + t^6.351/(g1^2*g2^4) + 2*g2^10*t^6.351 + g1^2*g2^24*t^6.351 + t^6.46/(g1^3*g2^25) + t^6.46/(g1*g2^11) + g1*g2^3*t^6.46 + g1^3*g2^17*t^6.46 + (g2^6*t^6.701)/g1^2 + 2*g2^20*t^6.701 + g1^2*g2^34*t^6.701 + t^6.81/(g1*g2) + g1*g2^13*t^6.81 + t^6.919/(g1^2*g2^22) + g1^2*g2^6*t^6.919 + t^7.161/(g1^3*g2^5) + (3*g2^9*t^7.161)/g1 + 3*g1*g2^23*t^7.161 + g1^3*g2^37*t^7.161 + t^7.27/(g1^2*g2^12) + g2^2*t^7.27 + g1^2*g2^16*t^7.27 + t^7.379/(g1^3*g2^33) + t^7.379/(g1*g2^19) + (g1*t^7.379)/g2^5 + g1^3*g2^9*t^7.379 + t^7.488/(g1^2*g2^40) + t^7.488/g2^26 + (g1^2*t^7.488)/g2^12 + t^7.621/(g1^2*g2^2) + 3*g2^12*t^7.621 + g1^2*g2^26*t^7.621 - t^7.839/(g1^2*g2^30) - t^7.839/g2^16 - (g1^2*t^7.839)/g2^2 - (g2*t^8.081)/g1 - g1*g2^15*t^8.081 + (g2^4*t^8.322)/g1^4 + (2*g2^18*t^8.322)/g1^2 + 3*g2^32*t^8.322 + 2*g1^2*g2^46*t^8.322 + g1^4*g2^60*t^8.322 + t^8.431/(g1^3*g2^3) + (2*g2^11*t^8.431)/g1 + 2*g1*g2^25*t^8.431 + g1^3*g2^39*t^8.431 + t^8.54/(g1^4*g2^24) + (2*t^8.54)/(g1^2*g2^10) - g2^4*t^8.54 + 2*g1^2*g2^18*t^8.54 + g1^4*g2^32*t^8.54 + t^8.649/(g1^3*g2^31) + g1^3*g2^11*t^8.649 + t^8.758/(g1^4*g2^52) + t^8.758/(g1^2*g2^38) + (2*t^8.758)/g2^24 + (g1^2*t^8.758)/g2^10 + g1^4*g2^4*t^8.758 + (g2^7*t^8.782)/g1^3 + (2*g2^21*t^8.782)/g1 + 2*g1*g2^35*t^8.782 + g1^3*g2^49*t^8.782 + t^8.891/g1^2 + g2^14*t^8.891 + g1^2*g2^28*t^8.891 - (g2^2*t^4.27)/y - (g2^3*t^6.351)/(g1*y) - (g1*g2^17*t^6.351)/y - (g2^6*t^6.81)/y + (g2^16*t^7.161)/y + (g2^5*t^7.621)/(g1*y) + (g1*g2^19*t^7.621)/y + t^7.73/(g2^2*y) + t^8.081/(g1^2*g2^6*y) + (2*g2^8*t^8.081)/y + (g1^2*g2^22*t^8.081)/y + (2*t^8.19)/(g1*g2^13*y) + (2*g1*g2*t^8.19)/y - (g2^4*t^8.431)/(g1^2*y) - (g2^18*t^8.431)/y - (g1^2*g2^32*t^8.431)/y + t^8.54/(g1*g2^3*y) + (g1*g2^11*t^8.54)/y + t^8.649/(g2^10*y) - g2^2*t^4.27*y - (g2^3*t^6.351*y)/g1 - g1*g2^17*t^6.351*y - g2^6*t^6.81*y + g2^16*t^7.161*y + (g2^5*t^7.621*y)/g1 + g1*g2^19*t^7.621*y + (t^7.73*y)/g2^2 + (t^8.081*y)/(g1^2*g2^6) + 2*g2^8*t^8.081*y + g1^2*g2^22*t^8.081*y + (2*t^8.19*y)/(g1*g2^13) + 2*g1*g2*t^8.19*y - (g2^4*t^8.431*y)/g1^2 - g2^18*t^8.431*y - g1^2*g2^32*t^8.431*y + (t^8.54*y)/(g1*g2^3) + g1*g2^11*t^8.54*y + (t^8.649*y)/g2^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46733 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6991 | 0.86 | 0.8129 | [M:[0.7009, 0.7009, 1.0, 1.0, 1.1495], q:[0.7874, 0.5117], qb:[0.5117, 0.4883], phi:[0.4252]] | 2*t^2.103 + 2*t^3. + t^3.07 + t^3.449 + t^3.827 + 4*t^4.206 + 2*t^4.276 + 3*t^4.346 + 4*t^5.103 + 2*t^5.173 + 2*t^5.551 - 2*t^6. - t^4.276/y - t^4.276*y | detail | |
| 46645 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}X_{2}$ | 0.651 | 0.776 | 0.8389 | [X:[1.4, 1.4], M:[0.6, 0.6, 1.0, 1.0], q:[0.8, 0.6], qb:[0.6, 0.4], phi:[0.4]] | t^2.4 + 2*t^3. + 3*t^3.6 + 4*t^4.2 + 4*t^4.8 - t^4.2/y - t^4.2*y | detail | {a: 651/1000, c: 97/125, X1: 7/5, X2: 7/5, M1: 3/5, M2: 3/5, M3: 1, M4: 1, q1: 4/5, q2: 3/5, qb1: 3/5, qb2: 2/5, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46011 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ | 0.7272 | 0.8931 | 0.8142 | [M:[0.7935, 0.7935, 1.0, 1.0], q:[0.6608, 0.5457], qb:[0.5457, 0.4543], phi:[0.4484]] | 2*t^2.381 + t^2.69 + 2*t^3. + t^3.274 + t^3.345 + t^4.071 + 2*t^4.345 + 3*t^4.619 + t^4.69 + 3*t^4.761 + 2*t^4.965 + 2*t^5.071 + t^5.31 + 4*t^5.381 + 2*t^5.69 + t^5.964 - 3*t^6. - t^4.345/y - t^4.345*y | detail |