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 |
|---|---|---|---|---|---|---|---|---|---|
| 2584 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ | 0.7024 | 0.8631 | 0.8138 | [M:[0.9142, 1.0286, 1.0, 0.9428, 1.0572, 0.9428, 0.9714], q:[0.5715, 0.5143], qb:[0.4285, 0.5429], phi:[0.4857]] | [M:[[-6], [2], [0], [-4], [4], [-4], [-2]], q:[[5], [1]], qb:[[-5], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}$ | -3 | t^2.743 + 2*t^2.828 + 2*t^2.914 + t^3. + t^3.343 + t^4.028 + t^4.285 + t^4.371 + t^4.457 + t^4.543 + t^4.629 + 2*t^4.715 + t^4.8 + t^4.886 + t^5.485 + t^5.571 + 4*t^5.657 + 4*t^5.743 + 4*t^5.828 - 3*t^6. - t^6.086 + t^6.257 - t^6.429 + t^6.686 + t^6.771 + 2*t^6.856 + 2*t^6.942 + t^7.028 + t^7.114 + 3*t^7.2 + 4*t^7.285 + 3*t^7.371 + 2*t^7.457 + 3*t^7.543 + 4*t^7.629 + 3*t^7.715 - t^7.886 - t^7.972 + t^8.056 + t^8.058 + t^8.144 + t^8.228 + t^8.229 + 2*t^8.314 + 3*t^8.399 + 5*t^8.485 + 7*t^8.571 + 6*t^8.657 + 3*t^8.743 - 5*t^8.828 - 8*t^8.914 - t^4.457/y - t^7.2/y - t^7.285/y - t^7.371/y + t^7.543/y + t^7.629/y + t^7.715/y + (2*t^8.571)/y + (3*t^8.657)/y + (5*t^8.743)/y + (3*t^8.828)/y + (2*t^8.914)/y - t^4.457*y - t^7.2*y - t^7.285*y - t^7.371*y + t^7.543*y + t^7.629*y + t^7.715*y + 2*t^8.571*y + 3*t^8.657*y + 5*t^8.743*y + 3*t^8.828*y + 2*t^8.914*y | t^2.743/g1^6 + (2*t^2.828)/g1^4 + (2*t^2.914)/g1^2 + t^3. + g1^8*t^3.343 + t^4.028/g1^11 + t^4.285/g1^5 + t^4.371/g1^3 + t^4.457/g1 + g1*t^4.543 + g1^3*t^4.629 + 2*g1^5*t^4.715 + g1^7*t^4.8 + g1^9*t^4.886 + t^5.485/g1^12 + t^5.571/g1^10 + (4*t^5.657)/g1^8 + (4*t^5.743)/g1^6 + (4*t^5.828)/g1^4 - 3*t^6. - g1^2*t^6.086 + g1^6*t^6.257 - g1^10*t^6.429 + g1^16*t^6.686 + t^6.771/g1^17 + (2*t^6.856)/g1^15 + (2*t^6.942)/g1^13 + t^7.028/g1^11 + t^7.114/g1^9 + (3*t^7.2)/g1^7 + (4*t^7.285)/g1^5 + (3*t^7.371)/g1^3 + (2*t^7.457)/g1 + 3*g1*t^7.543 + 4*g1^3*t^7.629 + 3*g1^5*t^7.715 - g1^9*t^7.886 - g1^11*t^7.972 + t^8.056/g1^22 + g1^13*t^8.058 + g1^15*t^8.144 + t^8.228/g1^18 + g1^17*t^8.229 + (2*t^8.314)/g1^16 + (3*t^8.399)/g1^14 + (5*t^8.485)/g1^12 + (7*t^8.571)/g1^10 + (6*t^8.657)/g1^8 + (3*t^8.743)/g1^6 - (5*t^8.828)/g1^4 - (8*t^8.914)/g1^2 - t^4.457/(g1*y) - t^7.2/(g1^7*y) - t^7.285/(g1^5*y) - t^7.371/(g1^3*y) + (g1*t^7.543)/y + (g1^3*t^7.629)/y + (g1^5*t^7.715)/y + (2*t^8.571)/(g1^10*y) + (3*t^8.657)/(g1^8*y) + (5*t^8.743)/(g1^6*y) + (3*t^8.828)/(g1^4*y) + (2*t^8.914)/(g1^2*y) - (t^4.457*y)/g1 - (t^7.2*y)/g1^7 - (t^7.285*y)/g1^5 - (t^7.371*y)/g1^3 + g1*t^7.543*y + g1^3*t^7.629*y + g1^5*t^7.715*y + (2*t^8.571*y)/g1^10 + (3*t^8.657*y)/g1^8 + (5*t^8.743*y)/g1^6 + (3*t^8.828*y)/g1^4 + (2*t^8.914*y)/g1^2 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1492 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ | 0.6999 | 0.8585 | 0.8152 | [M:[0.9245, 1.0252, 1.0, 0.9496, 1.0504, 0.9496], q:[0.563, 0.5126], qb:[0.437, 0.5378], phi:[0.4874]] | t^2.773 + 2*t^2.849 + t^2.924 + t^3. + t^3.076 + t^3.302 + t^4.085 + t^4.311 + t^4.387 + t^4.462 + t^4.538 + t^4.613 + 2*t^4.689 + t^4.764 + t^4.84 + t^5.547 + t^5.622 + 3*t^5.698 + 2*t^5.773 + 3*t^5.849 + t^5.924 - 2*t^6. - t^4.462/y - t^4.462*y | detail |