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 |
---|---|---|---|---|---|---|---|---|---|
2247 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.6468 | 0.808 | 0.8005 | [M:[1.1933, 0.7843, 0.8067, 0.8067, 0.8067, 0.7955, 1.2157], q:[0.8011, 0.4146], qb:[0.3921, 0.8011], phi:[0.3978]] | [M:[[-6], [-14], [6], [6], [6], [-4], [14]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}\tilde{q}_{2}^{2}$ | -3 | 2*t^2.387 + 3*t^2.42 + t^3.546 + 2*t^3.647 + t^3.681 + 3*t^4.773 + 7*t^4.807 + 6*t^4.84 + t^5.933 + t^5.966 - 3*t^6. + 2*t^6.034 + 7*t^6.067 + 3*t^6.101 + t^7.092 - t^7.126 + t^7.16 + 9*t^7.193 + 11*t^7.227 + 7*t^7.261 + 2*t^7.294 + 2*t^7.328 + t^7.362 + t^8.319 - t^8.353 - 7*t^8.387 - 9*t^8.42 + 7*t^8.454 + 15*t^8.488 + 6*t^8.521 - t^4.193/y - (2*t^6.58)/y - (2*t^6.613)/y + (3*t^7.773)/y + (8*t^7.807)/y + (3*t^7.84)/y + (2*t^8.933)/y - t^4.193*y - 2*t^6.58*y - 2*t^6.613*y + 3*t^7.773*y + 8*t^7.807*y + 3*t^7.84*y + 2*t^8.933*y | (2*t^2.387)/g1^4 + 3*g1^6*t^2.42 + t^3.546/g1^16 + 2*g1^14*t^3.647 + g1^24*t^3.681 + (3*t^4.773)/g1^8 + 7*g1^2*t^4.807 + 6*g1^12*t^4.84 + t^5.933/g1^20 + t^5.966/g1^10 - 3*t^6. + 2*g1^10*t^6.034 + 7*g1^20*t^6.067 + 3*g1^30*t^6.101 + t^7.092/g1^32 - t^7.126/g1^22 + t^7.16/g1^12 + (9*t^7.193)/g1^2 + 11*g1^8*t^7.227 + 7*g1^18*t^7.261 + 2*g1^28*t^7.294 + 2*g1^38*t^7.328 + g1^48*t^7.362 + t^8.319/g1^24 - t^8.353/g1^14 - (7*t^8.387)/g1^4 - 9*g1^6*t^8.42 + 7*g1^16*t^8.454 + 15*g1^26*t^8.488 + 6*g1^36*t^8.521 - t^4.193/(g1^2*y) - (2*t^6.58)/(g1^6*y) - (2*g1^4*t^6.613)/y + (3*t^7.773)/(g1^8*y) + (8*g1^2*t^7.807)/y + (3*g1^12*t^7.84)/y + (2*t^8.933)/(g1^20*y) - (t^4.193*y)/g1^2 - (2*t^6.58*y)/g1^6 - 2*g1^4*t^6.613*y + (3*t^7.773*y)/g1^8 + 8*g1^2*t^7.807*y + 3*g1^12*t^7.84*y + (2*t^8.933*y)/g1^20 |
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 |
---|---|---|---|---|---|---|---|---|---|
1215 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6647 | 0.8391 | 0.7922 | [M:[1.1849, 0.7647, 0.8151, 0.8151, 0.8151, 0.7899], q:[0.8025, 0.4327], qb:[0.3824, 0.8025], phi:[0.395]] | t^2.294 + 2*t^2.37 + 3*t^2.445 + t^3.479 + t^3.706 + t^3.781 + t^4.588 + 2*t^4.664 + 6*t^4.74 + 7*t^4.815 + 6*t^4.891 + t^5.773 + t^5.849 + t^5.924 - 2*t^6. - t^4.185/y - t^4.185*y | detail |