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 |
|---|---|---|---|---|---|---|---|---|---|
| 45932 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ | 0.57 | 0.6943 | 0.8211 | [M:[1.0, 1.0], q:[0.5963, 0.4037], qb:[0.4037, 1.0062], phi:[0.3975]] | [M:[[1, -3], [-1, 3]], q:[[0, -3], [-1, 6]], qb:[[1, 0], [0, 5]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}M_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$ | 1 | t^2.385 + t^2.422 + 2*t^3. + 3*t^3.615 + 2*t^4.23 + t^4.77 + 2*t^4.807 + t^4.845 + 2*t^5.422 + t^6. + 3*t^6.037 - 2*t^6.578 + 4*t^6.615 + 2*t^6.652 + t^7.155 - 2*t^7.193 + 7*t^7.23 + t^7.267 - 2*t^7.807 + 6*t^7.845 - 2*t^8.385 + 6*t^8.46 - t^4.193/y - t^6.578/y + (2*t^7.807)/y + (2*t^8.385)/y + (2*t^8.422)/y - t^8.963/y - t^4.193*y - t^6.578*y + 2*t^7.807*y + 2*t^8.385*y + 2*t^8.422*y - t^8.963*y | t^2.385/g2^4 + g2^6*t^2.422 + (g1*t^3.)/g2^3 + (g2^3*t^3.)/g1 + (g1^2*t^3.615)/g2^2 + g2^4*t^3.615 + (g2^10*t^3.615)/g1^2 + g1*g2^5*t^4.23 + (g2^11*t^4.23)/g1 + t^4.77/g2^8 + 2*g2^2*t^4.807 + g2^12*t^4.845 + g1*g2^3*t^5.422 + (g2^9*t^5.422)/g1 - t^6. + (g1^2*t^6.)/g2^6 + (g2^6*t^6.)/g1^2 + g1^2*g2^4*t^6.037 + g2^10*t^6.037 + (g2^16*t^6.037)/g1^2 - (g1*t^6.578)/g2^9 - t^6.578/(g1*g2^3) + (g1^3*t^6.615)/g2^5 + g1*g2*t^6.615 + (g2^7*t^6.615)/g1 + (g2^13*t^6.615)/g1^3 + g1*g2^11*t^6.652 + (g2^17*t^6.652)/g1 + t^7.155/g2^12 - (g1^2*t^7.193)/g2^8 - (g2^4*t^7.193)/g1^2 + (g1^4*t^7.23)/g2^4 + g1^2*g2^2*t^7.23 + 3*g2^8*t^7.23 + (g2^14*t^7.23)/g1^2 + (g2^20*t^7.23)/g1^4 + g2^18*t^7.267 - (g1*t^7.807)/g2 - (g2^5*t^7.807)/g1 + g1^3*g2^3*t^7.845 + 2*g1*g2^9*t^7.845 + (2*g2^15*t^7.845)/g1 + (g2^21*t^7.845)/g1^3 - (2*t^8.385)/g2^4 + g1^2*t^8.422 - 2*g2^6*t^8.422 + (g2^12*t^8.422)/g1^2 + 2*g1^2*g2^10*t^8.46 + 2*g2^16*t^8.46 + (2*g2^22*t^8.46)/g1^2 - t^4.193/(g2^2*y) - t^6.578/(g2^6*y) + (2*g2^2*t^7.807)/y + (g1*t^8.385)/(g2^7*y) + t^8.385/(g1*g2*y) + (g1*g2^3*t^8.422)/y + (g2^9*t^8.422)/(g1*y) - t^8.963/(g2^10*y) - (t^4.193*y)/g2^2 - (t^6.578*y)/g2^6 + 2*g2^2*t^7.807*y + (g1*t^8.385*y)/g2^7 + (t^8.385*y)/(g1*g2) + g1*g2^3*t^8.422*y + (g2^9*t^8.422*y)/g1 - (t^8.963*y)/g2^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46007 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5883 | 0.7268 | 0.8095 | [M:[1.0196, 0.9804, 0.7451], q:[0.5882, 0.3922], qb:[0.4314, 1.0196], phi:[0.3922]] | t^2.235 + t^2.353 + t^2.471 + t^2.941 + t^3.059 + t^3.529 + t^3.647 + t^4.235 + t^4.353 + t^4.471 + t^4.588 + 2*t^4.706 + 2*t^4.824 + t^4.941 + t^5.176 + t^5.294 + t^5.412 + t^5.529 + t^5.765 + 2*t^5.882 - t^4.176/y - t^4.176*y | detail | {a: 8161/13872, c: 5041/6936, M1: 52/51, M2: 50/51, M3: 38/51, q1: 10/17, q2: 20/51, qb1: 22/51, qb2: 52/51, phi1: 20/51} |
| 46018 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5498 | 0.6599 | 0.8332 | [M:[1.0566, 0.9434], q:[0.5283, 0.4152], qb:[0.5283, 1.1195], phi:[0.3522]] | t^2.113 + 2*t^2.83 + t^3.17 + t^3.548 + t^3.887 + 2*t^4.226 + t^4.604 + 3*t^4.943 + 3*t^5.661 - t^6. - t^4.057/y - t^4.057*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45854 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6487 | 0.7983 | 0.8127 | [M:[0.6881, 0.6881], q:[0.8426, 0.4693], qb:[0.4693, 0.8036], phi:[0.3538]] | 2*t^2.064 + t^2.123 + t^2.816 + 2*t^3.819 + 3*t^3.877 + 3*t^4.128 + 2*t^4.187 + t^4.245 + 2*t^4.88 + 2*t^4.939 + t^5.632 + 4*t^5.883 + 6*t^5.941 - 2*t^6. - t^4.061/y - t^4.061*y | detail |