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 |
|---|---|---|---|---|---|---|---|---|---|
| 913 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.7017 | 0.8608 | 0.8152 | [M:[1.0, 0.9396, 0.8792, 1.0604, 1.0], q:[0.5604, 0.4396], qb:[0.5604, 0.5], phi:[0.4849]] | [M:[[0], [-4], [-8], [4], [0]], q:[[4], [-4]], qb:[[4], [0]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{1}M_{5}$ | -1 | t^2.638 + t^2.819 + t^2.909 + 2*t^3. + 2*t^3.181 + t^4.092 + t^4.273 + 3*t^4.455 + 2*t^4.636 + 3*t^4.817 + t^5.275 + t^5.456 + t^5.547 + t^5.638 + t^5.728 + 2*t^5.819 + 2*t^5.909 - t^6. + 2*t^6.091 + t^6.362 + t^6.73 + 2*t^6.911 + t^7.002 + 4*t^7.092 + 4*t^7.273 + 2*t^7.364 + 5*t^7.455 - t^7.545 + 5*t^7.636 + t^7.727 + 5*t^7.817 - 3*t^7.908 + t^7.913 + 4*t^7.998 + t^8.094 + 2*t^8.185 + t^8.275 + 2*t^8.366 + t^8.456 + 4*t^8.547 - 2*t^8.638 + 5*t^8.728 - 4*t^8.819 + 5*t^8.909 - t^4.455/y - t^7.092/y - t^7.364/y + t^7.545/y + t^7.817/y + t^8.456/y + t^8.547/y + (2*t^8.638)/y + t^8.728/y + (4*t^8.819)/y + (2*t^8.909)/y - t^4.455*y - t^7.092*y - t^7.364*y + t^7.545*y + t^7.817*y + t^8.456*y + t^8.547*y + 2*t^8.638*y + t^8.728*y + 4*t^8.819*y + 2*t^8.909*y | t^2.638/g1^8 + t^2.819/g1^4 + t^2.909/g1^2 + 2*t^3. + 2*g1^4*t^3.181 + t^4.092/g1^9 + t^4.273/g1^5 + (3*t^4.455)/g1 + 2*g1^3*t^4.636 + 3*g1^7*t^4.817 + t^5.275/g1^16 + t^5.456/g1^12 + t^5.547/g1^10 + t^5.638/g1^8 + t^5.728/g1^6 + (2*t^5.819)/g1^4 + (2*t^5.909)/g1^2 - t^6. + 2*g1^2*t^6.091 + g1^8*t^6.362 + t^6.73/g1^17 + (2*t^6.911)/g1^13 + t^7.002/g1^11 + (4*t^7.092)/g1^9 + (4*t^7.273)/g1^5 + (2*t^7.364)/g1^3 + (5*t^7.455)/g1 - g1*t^7.545 + 5*g1^3*t^7.636 + g1^5*t^7.727 + 5*g1^7*t^7.817 - 3*g1^9*t^7.908 + t^7.913/g1^24 + 4*g1^11*t^7.998 + t^8.094/g1^20 + (2*t^8.185)/g1^18 + t^8.275/g1^16 + (2*t^8.366)/g1^14 + t^8.456/g1^12 + (4*t^8.547)/g1^10 - (2*t^8.638)/g1^8 + (5*t^8.728)/g1^6 - (4*t^8.819)/g1^4 + (5*t^8.909)/g1^2 - t^4.455/(g1*y) - t^7.092/(g1^9*y) - t^7.364/(g1^3*y) + (g1*t^7.545)/y + (g1^7*t^7.817)/y + t^8.456/(g1^12*y) + t^8.547/(g1^10*y) + (2*t^8.638)/(g1^8*y) + t^8.728/(g1^6*y) + (4*t^8.819)/(g1^4*y) + (2*t^8.909)/(g1^2*y) - (t^4.455*y)/g1 - (t^7.092*y)/g1^9 - (t^7.364*y)/g1^3 + g1*t^7.545*y + g1^7*t^7.817*y + (t^8.456*y)/g1^12 + (t^8.547*y)/g1^10 + (2*t^8.638*y)/g1^8 + (t^8.728*y)/g1^6 + (4*t^8.819*y)/g1^4 + (2*t^8.909*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 |
|---|---|---|---|---|---|---|---|---|
| 1397 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{6}$ | 0.6968 | 0.8524 | 0.8175 | [M:[1.0, 0.9556, 0.9112, 1.0444, 1.0, 1.0444], q:[0.5444, 0.4556], qb:[0.5444, 0.5], phi:[0.4889]] | t^2.734 + t^2.933 + 2*t^3. + 3*t^3.133 + t^4.2 + t^4.333 + 3*t^4.467 + 2*t^4.6 + 3*t^4.733 + t^5.467 + t^5.667 + t^5.867 + 2*t^5.933 - 3*t^6. - t^4.467/y - t^4.467*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 |
|---|---|---|---|---|---|---|---|---|---|
| 588 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ | 0.7293 | 0.896 | 0.8139 | [M:[1.0, 0.7765, 0.8995, 0.877, 1.0], q:[0.5503, 0.4497], qb:[0.5503, 0.6733], phi:[0.4441]] | t^2.329 + t^2.631 + t^2.665 + t^2.698 + 2*t^3. + t^3.671 + t^4.031 + 2*t^4.332 + 3*t^4.634 + t^4.659 + t^4.701 + t^4.96 + t^4.994 + 2*t^5.003 + t^5.028 + t^5.262 + t^5.296 + 3*t^5.329 + t^5.363 + t^5.372 + t^5.397 + 2*t^5.665 - 2*t^6. - t^4.332/y - t^4.332*y | detail |