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 |
|---|---|---|---|---|---|---|---|---|---|
| 939 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}^{2}$ | 0.697 | 0.8525 | 0.8176 | [M:[0.9537, 1.0, 1.0, 0.9537, 1.0463], q:[0.5463, 0.5], qb:[0.4537, 0.5463], phi:[0.4884]] | [M:[[-4], [0], [0], [-4], [4]], q:[[4], [0]], qb:[[-4], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$ | ${}M_{2}^{2}$, ${ }M_{1}M_{5}$ | -1 | 2*t^2.861 + t^2.93 + 2*t^3. + t^3.139 + t^3.278 + t^4.187 + t^4.326 + 3*t^4.465 + 2*t^4.604 + 3*t^4.743 + t^5.722 + 2*t^5.791 + 2*t^5.861 + 2*t^5.93 - t^6. + t^6.07 + t^6.209 + t^6.278 + t^6.417 + t^6.556 + 2*t^7.048 + t^7.118 + 2*t^7.187 + 4*t^7.326 + 2*t^7.396 + 4*t^7.465 - t^7.535 + 6*t^7.604 + t^7.674 + 6*t^7.743 - 3*t^7.813 + 3*t^7.882 + 3*t^8.021 + t^8.374 + t^8.513 + 4*t^8.652 + t^8.722 + 5*t^8.791 - 4*t^8.861 + 5*t^8.93 - t^4.465/y - t^7.326/y - t^7.396/y + t^7.535/y + t^7.604/y + t^8.722/y + (2*t^8.791)/y + (4*t^8.861)/y + (2*t^8.93)/y - t^4.465*y - t^7.326*y - t^7.396*y + t^7.535*y + t^7.604*y + t^8.722*y + 2*t^8.791*y + 4*t^8.861*y + 2*t^8.93*y | (2*t^2.861)/g1^4 + t^2.93/g1^2 + 2*t^3. + g1^4*t^3.139 + g1^8*t^3.278 + t^4.187/g1^9 + t^4.326/g1^5 + (3*t^4.465)/g1 + 2*g1^3*t^4.604 + 3*g1^7*t^4.743 + t^5.722/g1^8 + (2*t^5.791)/g1^6 + (2*t^5.861)/g1^4 + (2*t^5.93)/g1^2 - t^6. + g1^2*t^6.07 + g1^6*t^6.209 + g1^8*t^6.278 + g1^12*t^6.417 + g1^16*t^6.556 + (2*t^7.048)/g1^13 + t^7.118/g1^11 + (2*t^7.187)/g1^9 + (4*t^7.326)/g1^5 + (2*t^7.396)/g1^3 + (4*t^7.465)/g1 - g1*t^7.535 + 6*g1^3*t^7.604 + g1^5*t^7.674 + 6*g1^7*t^7.743 - 3*g1^9*t^7.813 + 3*g1^11*t^7.882 + 3*g1^15*t^8.021 + t^8.374/g1^18 + t^8.513/g1^14 + (4*t^8.652)/g1^10 + t^8.722/g1^8 + (5*t^8.791)/g1^6 - (4*t^8.861)/g1^4 + (5*t^8.93)/g1^2 - t^4.465/(g1*y) - t^7.326/(g1^5*y) - t^7.396/(g1^3*y) + (g1*t^7.535)/y + (g1^3*t^7.604)/y + t^8.722/(g1^8*y) + (2*t^8.791)/(g1^6*y) + (4*t^8.861)/(g1^4*y) + (2*t^8.93)/(g1^2*y) - (t^4.465*y)/g1 - (t^7.326*y)/g1^5 - (t^7.396*y)/g1^3 + g1*t^7.535*y + g1^3*t^7.604*y + (t^8.722*y)/g1^8 + (2*t^8.791*y)/g1^6 + (4*t^8.861*y)/g1^4 + (2*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 1448 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ | 0.7021 | 0.8613 | 0.8151 | [M:[0.9361, 1.0, 1.0, 0.9361, 1.0639, 0.9361], q:[0.5639, 0.5], qb:[0.4361, 0.5639], phi:[0.484]] | 3*t^2.808 + t^2.904 + 2*t^3. + t^3.384 + t^4.068 + t^4.26 + 3*t^4.452 + 2*t^4.644 + 3*t^4.836 + 4*t^5.616 + 3*t^5.712 + 4*t^5.808 + 2*t^5.904 - 3*t^6. - t^4.452/y - t^4.452*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 |
|---|---|---|---|---|---|---|---|---|---|
| 596 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ | 0.7026 | 0.8611 | 0.8159 | [M:[0.8739, 1.054, 0.946, 0.9819, 1.0181], q:[0.5991, 0.527], qb:[0.4549, 0.4911], phi:[0.482]] | t^2.622 + t^2.838 + t^2.892 + t^2.946 + t^3.054 + t^3.162 + t^3.271 + t^4.175 + t^4.284 + t^4.391 + t^4.393 + t^4.5 + 2*t^4.608 + t^4.717 + t^4.824 + t^5.041 + t^5.243 + t^5.46 + t^5.513 + t^5.676 + t^5.73 + t^5.784 + t^5.837 + t^5.892 + t^5.946 - 2*t^6. - t^4.446/y - t^4.446*y | detail |