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 |
|---|---|---|---|---|---|---|---|---|---|
| 2011 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.5708 | 0.6958 | 0.8203 | [X:[1.5954], M:[0.4046, 1.1909, 1.2137, 0.7863, 0.832, 1.0], q:[0.9046, 0.6909], qb:[0.3091, 0.4772], phi:[0.4046]] | [X:[[1]], M:[[-1], [2], [-3], [3], [-7], [0]], q:[[-1], [2]], qb:[[-2], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.359 + t^2.496 + t^3. + t^3.069 + 2*t^3.573 + t^3.641 + t^4.077 + t^4.145 + t^4.718 + t^4.786 + t^4.855 + t^4.992 + t^5.359 + t^5.564 + t^5.931 - t^6. + 2*t^6.069 + 2*t^6.137 + t^6.436 + t^6.573 + 2*t^6.641 + t^7.077 + 2*t^7.145 + t^7.214 + t^7.282 + t^7.351 + t^7.488 + t^7.649 + 2*t^7.718 + t^8.06 + t^8.153 + t^8.222 + t^8.29 - t^8.359 + t^8.427 - 2*t^8.496 + t^8.564 + 2*t^8.633 + t^8.794 - t^4.214/y - t^6.71/y + t^7.718/y + t^7.855/y + t^8.359/y + t^8.427/y + t^8.496/y + t^8.564/y + (2*t^8.931)/y - t^4.214*y - t^6.71*y + t^7.718*y + t^7.855*y + t^8.359*y + t^8.427*y + t^8.496*y + t^8.564*y + 2*t^8.931*y | g1^3*t^2.359 + t^2.496/g1^7 + t^3. + t^3.069/g1^5 + 2*g1^2*t^3.573 + t^3.641/g1^3 + g1^9*t^4.077 + g1^4*t^4.145 + g1^6*t^4.718 + g1*t^4.786 + t^4.855/g1^4 + t^4.992/g1^14 + g1^3*t^5.359 + t^5.564/g1^12 + g1^5*t^5.931 - t^6. + (2*t^6.069)/g1^5 + (2*t^6.137)/g1^10 + g1^12*t^6.436 + g1^2*t^6.573 + (2*t^6.641)/g1^3 + g1^9*t^7.077 + 2*g1^4*t^7.145 + t^7.214/g1 + t^7.282/g1^6 + t^7.351/g1^11 + t^7.488/g1^21 + g1^11*t^7.649 + 2*g1^6*t^7.718 + t^8.06/g1^19 + g1^18*t^8.153 + g1^13*t^8.222 + g1^8*t^8.29 - g1^3*t^8.359 + t^8.427/g1^2 - (2*t^8.496)/g1^7 + t^8.564/g1^12 + (2*t^8.633)/g1^17 + g1^15*t^8.794 - t^4.214/(g1*y) - t^6.71/(g1^8*y) + (g1^6*t^7.718)/y + t^7.855/(g1^4*y) + (g1^3*t^8.359)/y + t^8.427/(g1^2*y) + t^8.496/(g1^7*y) + t^8.564/(g1^12*y) + (2*g1^5*t^8.931)/y - (t^4.214*y)/g1 - (t^6.71*y)/g1^8 + g1^6*t^7.718*y + (t^7.855*y)/g1^4 + g1^3*t^8.359*y + (t^8.427*y)/g1^2 + (t^8.496*y)/g1^7 + (t^8.564*y)/g1^12 + 2*g1^5*t^8.931*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 |
|---|---|---|---|---|---|---|---|---|
| 3057 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5654 | 0.6904 | 0.819 | [X:[1.5833], M:[0.4167, 1.1667, 1.25, 0.75, 0.9167, 1.0], q:[0.9167, 0.6667], qb:[0.3333, 0.4167], phi:[0.4167]] | t^2.25 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + 2*t^3.75 + t^4. + t^4.5 + t^4.75 + t^5. + t^5.25 + t^5.5 + t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 579/1024, c: 707/1024, X1: 19/12, M1: 5/12, M2: 7/6, M3: 5/4, M4: 3/4, M5: 11/12, M6: 1, q1: 11/12, q2: 2/3, qb1: 1/3, qb2: 5/12, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 830 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ | 0.7124 | 0.8709 | 0.818 | [M:[0.8576, 1.0712, 1.0, 1.0, 0.8576, 1.0], q:[0.5712, 0.5712], qb:[0.4288, 0.5712], phi:[0.4644]] | 2*t^2.573 + 3*t^3. + t^3.214 + t^3.427 + t^3.966 + 3*t^4.393 + 6*t^4.82 + 3*t^5.146 + 3*t^5.573 + 2*t^5.786 - 2*t^6. - t^4.393/y - t^4.393*y | detail |