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 |
|---|---|---|---|---|---|---|---|---|---|
| 47229 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6291 | 0.8166 | 0.7704 | [X:[], M:[1.0, 0.915, 0.7181, 1.0425, 0.7181], q:[0.7606, 0.2394], qb:[0.5213, 0.5638], phi:[0.4787]] | [X:[], M:[[0], [-8], [-3], [4], [-3]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | -1 | 2*t^2.15 + t^2.28 + t^2.41 + t^2.74 + t^2.87 + t^3. + t^3.13 + t^3.72 + t^3.97 + 3*t^4.31 + 2*t^4.44 + 4*t^4.56 + 2*t^4.69 + 2*t^4.82 + 2*t^4.9 + 2*t^5.03 + 3*t^5.15 + 4*t^5.28 + 2*t^5.41 + t^5.49 + t^5.54 + t^5.62 + 2*t^5.74 + 2*t^5.87 - t^6. + 2*t^6.13 + t^6.26 + t^6.38 + 4*t^6.46 + 2*t^6.59 + 6*t^6.72 + 4*t^6.85 + 5*t^6.97 + 3*t^7.05 + 3*t^7.1 + 3*t^7.18 + 2*t^7.23 + 5*t^7.31 + 7*t^7.44 + 4*t^7.56 + 2*t^7.64 + 5*t^7.69 + 2*t^7.77 + 2*t^7.82 + 4*t^7.9 + 2*t^7.95 + 4*t^8.03 - 2*t^8.15 + t^8.23 + t^8.28 + t^8.36 - 2*t^8.41 + 2*t^8.49 + 2*t^8.54 + 7*t^8.62 + t^8.66 + 2*t^8.79 + 5*t^8.87 - t^4.44/y - (2*t^6.59)/y - t^7.18/y + t^7.31/y + (2*t^7.44)/y + (2*t^7.56)/y + (2*t^7.69)/y + (2*t^7.9)/y + (3*t^8.03)/y + (4*t^8.15)/y + (6*t^8.28)/y + (2*t^8.41)/y + t^8.54/y + t^8.62/y - (2*t^8.74)/y + (4*t^8.87)/y - t^4.44*y - 2*t^6.59*y - t^7.18*y + t^7.31*y + 2*t^7.44*y + 2*t^7.56*y + 2*t^7.69*y + 2*t^7.9*y + 3*t^8.03*y + 4*t^8.15*y + 6*t^8.28*y + 2*t^8.41*y + t^8.54*y + t^8.62*y - 2*t^8.74*y + 4*t^8.87*y | (2*t^2.15)/g1^3 + g1*t^2.28 + g1^5*t^2.41 + t^2.74/g1^8 + t^2.87/g1^4 + t^3. + g1^4*t^3.13 + t^3.72/g1 + g1^7*t^3.97 + (3*t^4.31)/g1^6 + (2*t^4.44)/g1^2 + 4*g1^2*t^4.56 + 2*g1^6*t^4.69 + 2*g1^10*t^4.82 + (2*t^4.9)/g1^11 + (2*t^5.03)/g1^7 + (3*t^5.15)/g1^3 + 4*g1*t^5.28 + 2*g1^5*t^5.41 + t^5.49/g1^16 + g1^9*t^5.54 + t^5.62/g1^12 + (2*t^5.74)/g1^8 + (2*t^5.87)/g1^4 - t^6. + 2*g1^4*t^6.13 + g1^8*t^6.26 + g1^12*t^6.38 + (4*t^6.46)/g1^9 + (2*t^6.59)/g1^5 + (6*t^6.72)/g1 + 4*g1^3*t^6.85 + 5*g1^7*t^6.97 + (3*t^7.05)/g1^14 + 3*g1^11*t^7.1 + (3*t^7.18)/g1^10 + 2*g1^15*t^7.23 + (5*t^7.31)/g1^6 + (7*t^7.44)/g1^2 + 4*g1^2*t^7.56 + (2*t^7.64)/g1^19 + 5*g1^6*t^7.69 + (2*t^7.77)/g1^15 + 2*g1^10*t^7.82 + (4*t^7.9)/g1^11 + 2*g1^14*t^7.95 + (4*t^8.03)/g1^7 - (2*t^8.15)/g1^3 + t^8.23/g1^24 + g1*t^8.28 + t^8.36/g1^20 - 2*g1^5*t^8.41 + (2*t^8.49)/g1^16 + 2*g1^9*t^8.54 + (7*t^8.62)/g1^12 + g1^13*t^8.66 + 2*g1^17*t^8.79 + (5*t^8.87)/g1^4 - t^4.44/(g1^2*y) - (2*t^6.59)/(g1^5*y) - t^7.18/(g1^10*y) + t^7.31/(g1^6*y) + (2*t^7.44)/(g1^2*y) + (2*g1^2*t^7.56)/y + (2*g1^6*t^7.69)/y + (2*t^7.9)/(g1^11*y) + (3*t^8.03)/(g1^7*y) + (4*t^8.15)/(g1^3*y) + (6*g1*t^8.28)/y + (2*g1^5*t^8.41)/y + (g1^9*t^8.54)/y + t^8.62/(g1^12*y) - (2*t^8.74)/(g1^8*y) + (4*t^8.87)/(g1^4*y) - (t^4.44*y)/g1^2 - (2*t^6.59*y)/g1^5 - (t^7.18*y)/g1^10 + (t^7.31*y)/g1^6 + (2*t^7.44*y)/g1^2 + 2*g1^2*t^7.56*y + 2*g1^6*t^7.69*y + (2*t^7.9*y)/g1^11 + (3*t^8.03*y)/g1^7 + (4*t^8.15*y)/g1^3 + 6*g1*t^8.28*y + 2*g1^5*t^8.41*y + g1^9*t^8.54*y + (t^8.62*y)/g1^12 - (2*t^8.74*y)/g1^8 + (4*t^8.87*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55541 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6259 | 0.8118 | 0.771 | [X:[], M:[1.0, 0.9482, 0.7306, 1.0259, 0.7306, 1.0259], q:[0.7565, 0.2435], qb:[0.513, 0.5389], phi:[0.487]] | 2*t^2.19 + t^2.27 + t^2.35 + t^2.84 + t^3. + 2*t^3.08 + t^3.73 + t^3.89 + 3*t^4.38 + 2*t^4.46 + 4*t^4.54 + 2*t^4.62 + 2*t^4.69 + 2*t^5.04 + 2*t^5.19 + 5*t^5.27 + 3*t^5.35 + 2*t^5.42 + t^5.69 + t^5.84 + 2*t^5.92 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46590 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.609 | 0.779 | 0.7817 | [X:[], M:[1.0, 0.9224, 0.7209, 1.0388], q:[0.7597, 0.2403], qb:[0.5194, 0.5582], phi:[0.4806]] | t^2.16 + t^2.28 + t^2.4 + t^2.77 + t^2.88 + t^3. + t^3.12 + t^3.72 + t^3.84 + t^3.95 + t^4.33 + t^4.44 + 3*t^4.56 + 2*t^4.67 + 2*t^4.79 + t^4.93 + t^5.05 + 2*t^5.16 + 3*t^5.28 + 2*t^5.4 + t^5.51 + t^5.53 + t^5.65 + 2*t^5.77 + t^5.88 - t^4.44/y - t^4.44*y | detail |