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 |
|---|---|---|---|---|---|---|---|---|---|
| 2223 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.6449 | 0.7968 | 0.8093 | [M:[1.176, 1.0787, 0.97, 0.824, 0.7153, 1.0787, 1.03], q:[0.7697, 0.3577], qb:[0.4663, 0.5637], phi:[0.4607]] | [M:[[8], [-4], [10], [-8], [6], [-4], [-10]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$ | ${}$ | -2 | t^2.146 + t^2.472 + t^3.09 + 2*t^3.236 + t^3.382 + t^3.528 + t^3.708 + t^4. + t^4.146 + t^4.18 + t^4.292 + t^4.472 + t^4.618 + t^4.764 + t^4.944 + t^5.236 + t^5.382 + t^5.528 + t^5.562 + t^5.708 + 2*t^5.854 - 2*t^6. + 2*t^6.18 + 2*t^6.326 + t^6.438 + 3*t^6.472 + 2*t^6.618 + t^6.652 + t^6.764 + t^6.798 + t^6.91 + 2*t^6.944 + t^7.09 + 2*t^7.236 + t^7.27 + t^7.382 + 3*t^7.416 + 2*t^7.528 + t^7.562 + t^7.674 + 2*t^7.708 + t^7.854 + t^7.888 + 2*t^8. + t^8.034 - 2*t^8.146 + 2*t^8.18 + t^8.292 + 2*t^8.326 + t^8.36 + t^8.584 + 3*t^8.652 + t^8.798 + 3*t^8.944 - t^4.382/y - t^6.528/y + t^7.146/y + (2*t^8.236)/y + (2*t^8.382)/y + t^8.528/y + t^8.562/y + (2*t^8.708)/y + (2*t^8.854)/y - t^4.382*y - t^6.528*y + t^7.146*y + 2*t^8.236*y + 2*t^8.382*y + t^8.528*y + t^8.562*y + 2*t^8.708*y + 2*t^8.854*y | g1^6*t^2.146 + t^2.472/g1^8 + t^3.09/g1^10 + (2*t^3.236)/g1^4 + g1^2*t^3.382 + g1^8*t^3.528 + t^3.708/g1^12 + t^4. + g1^6*t^4.146 + t^4.18/g1^20 + g1^12*t^4.292 + t^4.472/g1^8 + t^4.618/g1^2 + g1^4*t^4.764 + t^4.944/g1^16 + t^5.236/g1^4 + g1^2*t^5.382 + g1^8*t^5.528 + t^5.562/g1^18 + t^5.708/g1^12 + (2*t^5.854)/g1^6 - 2*t^6. + (2*t^6.18)/g1^20 + (2*t^6.326)/g1^14 + g1^18*t^6.438 + (3*t^6.472)/g1^8 + (2*t^6.618)/g1^2 + t^6.652/g1^28 + g1^4*t^6.764 + t^6.798/g1^22 + g1^10*t^6.91 + (2*t^6.944)/g1^16 + t^7.09/g1^10 + (2*t^7.236)/g1^4 + t^7.27/g1^30 + g1^2*t^7.382 + (3*t^7.416)/g1^24 + 2*g1^8*t^7.528 + t^7.562/g1^18 + g1^14*t^7.674 + (2*t^7.708)/g1^12 + t^7.854/g1^6 + t^7.888/g1^32 + 2*t^8. + t^8.034/g1^26 - 2*g1^6*t^8.146 + (2*t^8.18)/g1^20 + g1^12*t^8.292 + (2*t^8.326)/g1^14 + t^8.36/g1^40 + g1^24*t^8.584 + (3*t^8.652)/g1^28 + t^8.798/g1^22 + (3*t^8.944)/g1^16 - (g1^2*t^4.382)/y - (g1^8*t^6.528)/y + (g1^6*t^7.146)/y + (2*t^8.236)/(g1^4*y) + (2*g1^2*t^8.382)/y + (g1^8*t^8.528)/y + t^8.562/(g1^18*y) + (2*t^8.708)/(g1^12*y) + (2*t^8.854)/(g1^6*y) - g1^2*t^4.382*y - g1^8*t^6.528*y + g1^6*t^7.146*y + (2*t^8.236*y)/g1^4 + 2*g1^2*t^8.382*y + g1^8*t^8.528*y + (t^8.562*y)/g1^18 + (2*t^8.708*y)/g1^12 + (2*t^8.854*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1167 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6493 | 0.8027 | 0.8089 | [M:[1.1478, 1.0927, 0.9348, 0.8522, 0.6942, 1.0927], q:[0.7732, 0.3471], qb:[0.505, 0.5601], phi:[0.4536]] | t^2.083 + t^2.556 + t^2.804 + 2*t^3.278 + t^3.361 + t^3.444 + t^3.835 + t^4. + t^4.083 + t^4.165 + t^4.391 + t^4.556 + t^4.639 + t^4.722 + t^4.887 + t^5.113 + 2*t^5.361 + t^5.444 + t^5.609 + t^5.835 + 2*t^5.917 - 2*t^6. - t^4.361/y - t^4.361*y | detail |