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 |
|---|---|---|---|---|---|---|---|---|---|
| 528 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ | 0.7369 | 0.9109 | 0.809 | [M:[0.8862, 1.0, 0.7723, 1.0, 0.7723], q:[0.5569, 0.5569], qb:[0.4431, 0.6707], phi:[0.4431]] | [M:[[0, -2], [1, -1], [-1, -3], [-1, 1], [1, -5]], q:[[-1, 2], [1, 0]], qb:[[0, -1], [0, 3]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | 2*t^2.317 + 2*t^2.659 + 2*t^3. + t^3.341 + t^3.988 + 2*t^4.329 + 3*t^4.634 + 4*t^4.671 + 4*t^4.976 + 2*t^5.012 + 6*t^5.317 + t^5.354 + 2*t^5.659 - t^6. + 2*t^6.305 - 2*t^6.341 + 5*t^6.646 - t^6.683 + 4*t^6.951 + 10*t^6.988 + 6*t^7.293 + 10*t^7.329 + 10*t^7.634 + 6*t^7.671 + 7*t^7.976 - 2*t^8.317 - 2*t^8.354 + 3*t^8.622 - 7*t^8.659 - t^8.695 + 8*t^8.963 - t^4.329/y - (2*t^6.646)/y - (2*t^6.988)/y + t^7.634/y + (2*t^7.671)/y + (4*t^7.976)/y + (2*t^8.012)/y + (5*t^8.317)/y + (6*t^8.659)/y - (3*t^8.963)/y - t^4.329*y - 2*t^6.646*y - 2*t^6.988*y + t^7.634*y + 2*t^7.671*y + 4*t^7.976*y + 2*t^8.012*y + 5*t^8.317*y + 6*t^8.659*y - 3*t^8.963*y | (g1*t^2.317)/g2^5 + t^2.317/(g1*g2^3) + (2*t^2.659)/g2^2 + (g1*t^3.)/g2 + (g2*t^3.)/g1 + g2^2*t^3.341 + t^3.988/g2^3 + t^4.329/g1 + (g1*t^4.329)/g2^2 + (g1^2*t^4.634)/g2^10 + t^4.634/g2^8 + t^4.634/(g1^2*g2^6) + (g1^2*t^4.671)/g2 + 2*g2*t^4.671 + (g2^3*t^4.671)/g1^2 + (2*g1*t^4.976)/g2^7 + (2*t^4.976)/(g1*g2^5) + g1*g2^2*t^5.012 + (g2^4*t^5.012)/g1 + (g1^2*t^5.317)/g2^6 + (4*t^5.317)/g2^4 + t^5.317/(g1^2*g2^2) + g2^5*t^5.354 + (g1*t^5.659)/g2^3 + t^5.659/(g1*g2) - t^6. + (g1*t^6.305)/g2^8 + t^6.305/(g1*g2^6) - g1*g2*t^6.341 - (g2^3*t^6.341)/g1 + (g1^2*t^6.646)/g2^7 + (3*t^6.646)/g2^5 + t^6.646/(g1^2*g2^3) - g2^4*t^6.683 + (g1^3*t^6.951)/g2^15 + (g1*t^6.951)/g2^13 + t^6.951/(g1*g2^11) + t^6.951/(g1^3*g2^9) + t^6.988/g1^3 + (g1^3*t^6.988)/g2^6 + (4*g1*t^6.988)/g2^4 + (4*t^6.988)/(g1*g2^2) + (2*g1^2*t^7.293)/g2^12 + (2*t^7.293)/g2^10 + (2*t^7.293)/(g1^2*g2^8) + (3*g1^2*t^7.329)/g2^3 + (4*t^7.329)/g2 + (3*g2*t^7.329)/g1^2 + (g1^3*t^7.634)/g2^11 + (4*g1*t^7.634)/g2^9 + (4*t^7.634)/(g1*g2^7) + t^7.634/(g1^3*g2^5) + 2*g1*t^7.671 + (g1^3*t^7.671)/g2^2 + (2*g2^2*t^7.671)/g1 + (g2^4*t^7.671)/g1^3 + (g1^2*t^7.976)/g2^8 + (5*t^7.976)/g2^6 + t^7.976/(g1^2*g2^4) - (g1*t^8.317)/g2^5 - t^8.317/(g1*g2^3) - g1*g2^4*t^8.354 - (g2^6*t^8.354)/g1 + (g1^2*t^8.622)/g2^13 + t^8.622/g2^11 + t^8.622/(g1^2*g2^9) - t^8.659/g1^2 - (g1^2*t^8.659)/g2^4 - (5*t^8.659)/g2^2 - g2^7*t^8.695 + (g1^3*t^8.963)/g2^12 + (3*g1*t^8.963)/g2^10 + (3*t^8.963)/(g1*g2^8) + t^8.963/(g1^3*g2^6) - t^4.329/(g2*y) - (g1*t^6.646)/(g2^6*y) - t^6.646/(g1*g2^4*y) - (2*t^6.988)/(g2^3*y) + t^7.634/(g2^8*y) + (2*g2*t^7.671)/y + (2*g1*t^7.976)/(g2^7*y) + (2*t^7.976)/(g1*g2^5*y) + (g1*g2^2*t^8.012)/y + (g2^4*t^8.012)/(g1*y) + (g1^2*t^8.317)/(g2^6*y) + (3*t^8.317)/(g2^4*y) + t^8.317/(g1^2*g2^2*y) + (3*g1*t^8.659)/(g2^3*y) + (3*t^8.659)/(g1*g2*y) - (g1^2*t^8.963)/(g2^11*y) - t^8.963/(g2^9*y) - t^8.963/(g1^2*g2^7*y) - (t^4.329*y)/g2 - (g1*t^6.646*y)/g2^6 - (t^6.646*y)/(g1*g2^4) - (2*t^6.988*y)/g2^3 + (t^7.634*y)/g2^8 + 2*g2*t^7.671*y + (2*g1*t^7.976*y)/g2^7 + (2*t^7.976*y)/(g1*g2^5) + g1*g2^2*t^8.012*y + (g2^4*t^8.012*y)/g1 + (g1^2*t^8.317*y)/g2^6 + (3*t^8.317*y)/g2^4 + (t^8.317*y)/(g1^2*g2^2) + (3*g1*t^8.659*y)/g2^3 + (3*t^8.659*y)/(g1*g2) - (g1^2*t^8.963*y)/g2^11 - (t^8.963*y)/g2^9 - (t^8.963*y)/(g1^2*g2^7) |
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 |
|---|---|---|---|---|---|---|---|---|
| 823 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}^{2}$ | 0.706 | 0.8681 | 0.8132 | [M:[0.9624, 1.0751, 0.8498, 0.9249, 1.0], q:[0.4437, 0.5939], qb:[0.4812, 0.5563], phi:[0.4812]] | t^2.549 + t^2.775 + 2*t^2.887 + t^3. + t^3.113 + t^3.225 + t^4.106 + t^4.218 + t^4.331 + t^4.444 + 2*t^4.556 + t^4.669 + t^4.782 + t^4.894 + t^5.007 + t^5.099 + t^5.324 + 2*t^5.437 + t^5.549 + t^5.662 + 4*t^5.775 + t^5.887 - t^4.444/y - t^4.444*y | detail | |
| 824 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7577 | 0.9523 | 0.7957 | [M:[0.8866, 1.0, 0.7731, 1.0, 0.7731, 0.6702], q:[0.5567, 0.5567], qb:[0.4433, 0.6702], phi:[0.4433]] | t^2.011 + 2*t^2.319 + 2*t^2.66 + 2*t^3. + t^3.34 + t^4.021 + 4*t^4.33 + 3*t^4.639 + 6*t^4.67 + 4*t^4.979 + 4*t^5.011 + 6*t^5.319 + 2*t^5.351 + 2*t^5.66 - t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 336 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.7904 | 0.9838 | 0.8034 | [M:[0.7619, 0.7619, 0.7619, 0.7619, 0.7619], q:[0.619, 0.619], qb:[0.619, 0.619], phi:[0.381]] | 6*t^2.286 + t^3.714 + 21*t^4.571 + 10*t^4.857 - 10*t^6. - t^4.143/y - t^4.143*y | detail | {a: 1859/2352, c: 1157/1176, M1: 16/21, M2: 16/21, M3: 16/21, M4: 16/21, M5: 16/21, q1: 13/21, q2: 13/21, qb1: 13/21, qb2: 13/21, phi1: 8/21} |