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 |
|---|---|---|---|---|---|---|---|---|---|
| 56152 | SU2adj1nf2 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6453 | 0.8481 | 0.761 | [X:[], M:[1.0259, 0.9482, 1.0, 1.0259, 0.7306, 0.7565, 0.7047], q:[0.5129, 0.5388], qb:[0.7565, 0.2435], phi:[0.4871]] | [X:[], M:[[-4], [8], [0], [-4], [3], [-1], [7]], q:[[-2], [-6]], qb:[[-1], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{5}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{4}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.11 + t^2.19 + 2*t^2.27 + t^2.35 + t^2.84 + t^3. + 2*t^3.08 + t^3.81 + t^4.23 + t^4.31 + 3*t^4.38 + 3*t^4.46 + 5*t^4.54 + 3*t^4.62 + 2*t^4.69 + t^4.96 + t^5.04 + 2*t^5.11 + 3*t^5.19 + 4*t^5.27 + 5*t^5.35 + 2*t^5.42 + t^5.69 + t^5.84 + t^5.92 - 2*t^6. + 2*t^6.08 + 3*t^6.16 + t^6.34 + t^6.42 + 3*t^6.5 + 3*t^6.58 + 6*t^6.65 + 5*t^6.73 + 8*t^6.81 + 7*t^6.89 + 4*t^6.96 + 2*t^7.04 + t^7.07 + t^7.15 + 3*t^7.23 + 4*t^7.31 + 6*t^7.38 + 6*t^7.46 + 7*t^7.54 + 10*t^7.62 + 6*t^7.69 + 3*t^7.77 + t^7.8 + t^7.88 + 2*t^7.96 + 2*t^8.04 - t^8.11 - 2*t^8.19 - 4*t^8.27 + t^8.35 + 4*t^8.42 + t^8.46 + 3*t^8.5 + 2*t^8.53 + 3*t^8.61 + 4*t^8.69 + 7*t^8.77 + 3*t^8.84 + 8*t^8.92 - t^4.46/y - t^6.58/y - t^6.65/y - t^6.73/y + (3*t^7.38)/y + (3*t^7.46)/y + t^7.54/y + (3*t^7.62)/y + t^7.96/y + t^8.04/y + (3*t^8.11)/y + (5*t^8.19)/y + (5*t^8.27)/y + (6*t^8.35)/y + (2*t^8.42)/y - t^8.69/y - t^8.77/y - t^8.84/y + (2*t^8.92)/y - t^4.46*y - t^6.58*y - t^6.65*y - t^6.73*y + 3*t^7.38*y + 3*t^7.46*y + t^7.54*y + 3*t^7.62*y + t^7.96*y + t^8.04*y + 3*t^8.11*y + 5*t^8.19*y + 5*t^8.27*y + 6*t^8.35*y + 2*t^8.42*y - t^8.69*y - t^8.77*y - t^8.84*y + 2*t^8.92*y | g1^7*t^2.11 + g1^3*t^2.19 + (2*t^2.27)/g1 + t^2.35/g1^5 + g1^8*t^2.84 + t^3. + (2*t^3.08)/g1^4 + t^3.81/g1^3 + g1^14*t^4.23 + g1^10*t^4.31 + 3*g1^6*t^4.38 + 3*g1^2*t^4.46 + (5*t^4.54)/g1^2 + (3*t^4.62)/g1^6 + (2*t^4.69)/g1^10 + g1^15*t^4.96 + g1^11*t^5.04 + 2*g1^7*t^5.11 + 3*g1^3*t^5.19 + (4*t^5.27)/g1 + (5*t^5.35)/g1^5 + (2*t^5.42)/g1^9 + g1^16*t^5.69 + g1^8*t^5.84 + g1^4*t^5.92 - 2*t^6. + (2*t^6.08)/g1^4 + (3*t^6.16)/g1^8 + g1^21*t^6.34 + g1^17*t^6.42 + 3*g1^13*t^6.5 + 3*g1^9*t^6.58 + 6*g1^5*t^6.65 + 5*g1*t^6.73 + (8*t^6.81)/g1^3 + (7*t^6.89)/g1^7 + (4*t^6.96)/g1^11 + (2*t^7.04)/g1^15 + g1^22*t^7.07 + g1^18*t^7.15 + 3*g1^14*t^7.23 + 4*g1^10*t^7.31 + 6*g1^6*t^7.38 + 6*g1^2*t^7.46 + (7*t^7.54)/g1^2 + (10*t^7.62)/g1^6 + (6*t^7.69)/g1^10 + (3*t^7.77)/g1^14 + g1^23*t^7.8 + g1^19*t^7.88 + 2*g1^15*t^7.96 + 2*g1^11*t^8.04 - g1^7*t^8.11 - 2*g1^3*t^8.19 - (4*t^8.27)/g1 + t^8.35/g1^5 + (4*t^8.42)/g1^9 + g1^28*t^8.46 + (3*t^8.5)/g1^13 + 2*g1^24*t^8.53 + 3*g1^20*t^8.61 + 4*g1^16*t^8.69 + 7*g1^12*t^8.77 + 3*g1^8*t^8.84 + 8*g1^4*t^8.92 - (g1^2*t^4.46)/y - (g1^9*t^6.58)/y - (g1^5*t^6.65)/y - (g1*t^6.73)/y + (3*g1^6*t^7.38)/y + (3*g1^2*t^7.46)/y + t^7.54/(g1^2*y) + (3*t^7.62)/(g1^6*y) + (g1^15*t^7.96)/y + (g1^11*t^8.04)/y + (3*g1^7*t^8.11)/y + (5*g1^3*t^8.19)/y + (5*t^8.27)/(g1*y) + (6*t^8.35)/(g1^5*y) + (2*t^8.42)/(g1^9*y) - (g1^16*t^8.69)/y - (g1^12*t^8.77)/y - (g1^8*t^8.84)/y + (2*g1^4*t^8.92)/y - g1^2*t^4.46*y - g1^9*t^6.58*y - g1^5*t^6.65*y - g1*t^6.73*y + 3*g1^6*t^7.38*y + 3*g1^2*t^7.46*y + (t^7.54*y)/g1^2 + (3*t^7.62*y)/g1^6 + g1^15*t^7.96*y + g1^11*t^8.04*y + 3*g1^7*t^8.11*y + 5*g1^3*t^8.19*y + (5*t^8.27*y)/g1 + (6*t^8.35*y)/g1^5 + (2*t^8.42*y)/g1^9 - g1^16*t^8.69*y - g1^12*t^8.77*y - g1^8*t^8.84*y + 2*g1^4*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 58321 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$ | 0.6256 | 0.8117 | 0.7707 | [X:[], M:[1.0222, 0.9556, 1.0, 1.0222, 0.7334, 0.7555, 0.7112, 1.2666], q:[0.5111, 0.5333], qb:[0.7555, 0.2445], phi:[0.4889]] | t^2.13 + 2*t^2.27 + t^2.33 + t^2.87 + t^3. + 2*t^3.07 + 2*t^3.8 + t^4.27 + 2*t^4.4 + t^4.47 + 4*t^4.53 + 3*t^4.6 + 2*t^4.67 + t^5. + 2*t^5.13 + 2*t^5.2 + 2*t^5.27 + 5*t^5.33 + 2*t^5.4 + t^5.73 + t^5.87 + 2*t^5.93 - 3*t^6. - t^4.47/y - t^4.47*y | detail | |
| 58322 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6651 | 0.8848 | 0.7517 | [X:[], M:[1.0293, 0.9413, 1.0, 1.0293, 0.728, 0.7573, 0.6987, 0.728], q:[0.5147, 0.544], qb:[0.7573, 0.2427], phi:[0.4853]] | t^2.1 + 2*t^2.18 + 2*t^2.27 + t^2.36 + t^2.82 + t^3. + 2*t^3.09 + t^4.19 + 2*t^4.28 + 5*t^4.37 + 5*t^4.46 + 6*t^4.54 + 3*t^4.63 + 2*t^4.72 + t^4.92 + 2*t^5.01 + 2*t^5.1 + 4*t^5.18 + 6*t^5.27 + 5*t^5.36 + 2*t^5.45 + t^5.65 + t^5.82 - 3*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 50843 | SU2adj1nf2 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.625 | 0.8101 | 0.7715 | [X:[], M:[1.0193, 0.9615, 1.0, 1.0193, 0.7356, 0.7548], q:[0.5096, 0.5289], qb:[0.7548, 0.2452], phi:[0.4904]] | t^2.21 + 2*t^2.26 + t^2.32 + t^2.88 + t^3. + 2*t^3.06 + t^3.79 + t^3.85 + t^4.41 + 2*t^4.47 + 5*t^4.53 + 3*t^4.59 + 2*t^4.64 + t^5.09 + t^5.15 + t^5.21 + 4*t^5.26 + 5*t^5.32 + 2*t^5.38 + t^5.77 + t^5.88 - 2*t^6. - t^4.47/y - t^4.47*y | detail |