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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [M:[[-6], [-14], [6], [6], [6], [-4]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}\tilde{q}_{2}^{2}$ | -2 | 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^6.076 + 4*t^6.151 + 3*t^6.227 + t^6.883 + 3*t^6.958 + 5*t^7.034 + 8*t^7.109 + 14*t^7.185 + 11*t^7.26 + 7*t^7.336 + t^7.487 + t^7.563 + t^8.068 + t^8.143 + 2*t^8.219 - 3*t^8.294 - 6*t^8.37 - 8*t^8.445 + 3*t^8.521 + 9*t^8.596 + 6*t^8.672 - t^4.185/y - t^6.479/y - (2*t^6.555)/y - (2*t^6.63)/y + (2*t^7.664)/y + (6*t^7.74)/y + (8*t^7.815)/y + (4*t^7.891)/y - (2*t^8.924)/y - t^4.185*y - t^6.479*y - 2*t^6.555*y - 2*t^6.63*y + 2*t^7.664*y + 6*t^7.74*y + 8*t^7.815*y + 4*t^7.891*y - 2*t^8.924*y | t^2.294/g1^14 + (2*t^2.37)/g1^4 + 3*g1^6*t^2.445 + t^3.479/g1^16 + g1^14*t^3.706 + g1^24*t^3.781 + t^4.588/g1^28 + (2*t^4.664)/g1^18 + (6*t^4.74)/g1^8 + 7*g1^2*t^4.815 + 6*g1^12*t^4.891 + t^5.773/g1^30 + t^5.849/g1^20 + t^5.924/g1^10 - 2*t^6. + g1^10*t^6.076 + 4*g1^20*t^6.151 + 3*g1^30*t^6.227 + t^6.883/g1^42 + (3*t^6.958)/g1^32 + (5*t^7.034)/g1^22 + (8*t^7.109)/g1^12 + (14*t^7.185)/g1^2 + 11*g1^8*t^7.26 + 7*g1^18*t^7.336 + g1^38*t^7.487 + g1^48*t^7.563 + t^8.068/g1^44 + t^8.143/g1^34 + (2*t^8.219)/g1^24 - (3*t^8.294)/g1^14 - (6*t^8.37)/g1^4 - 8*g1^6*t^8.445 + 3*g1^16*t^8.521 + 9*g1^26*t^8.596 + 6*g1^36*t^8.672 - t^4.185/(g1^2*y) - t^6.479/(g1^16*y) - (2*t^6.555)/(g1^6*y) - (2*g1^4*t^6.63)/y + (2*t^7.664)/(g1^18*y) + (6*t^7.74)/(g1^8*y) + (8*g1^2*t^7.815)/y + (4*g1^12*t^7.891)/y - (2*t^8.924)/(g1^10*y) - (t^4.185*y)/g1^2 - (t^6.479*y)/g1^16 - (2*t^6.555*y)/g1^6 - 2*g1^4*t^6.63*y + (2*t^7.664*y)/g1^18 + (6*t^7.74*y)/g1^8 + 8*g1^2*t^7.815*y + 4*g1^12*t^7.891*y - (2*t^8.924*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
2247 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 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]] | 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. - t^4.193/y - t^4.193*y | detail | |
2245 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6847 | 0.8767 | 0.781 | [M:[1.1784, 0.7496, 0.8216, 0.8216, 0.8216, 0.7856, 0.7136], q:[0.8036, 0.4468], qb:[0.3748, 0.8036], phi:[0.3928]] | t^2.141 + t^2.249 + 2*t^2.357 + 3*t^2.465 + t^3.427 + t^3.751 + t^4.282 + t^4.39 + 3*t^4.498 + 5*t^4.606 + 6*t^4.714 + 7*t^4.822 + 6*t^4.93 + t^5.568 + t^5.676 + t^5.784 + 2*t^5.892 - 2*t^6. - t^4.178/y - t^4.178*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 |
---|---|---|---|---|---|---|---|---|---|
739 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6477 | 0.8091 | 0.8005 | [M:[1.1874, 0.7706, 0.8126, 0.8126, 0.8126], q:[0.8021, 0.4273], qb:[0.3853, 0.8021], phi:[0.3958]] | t^2.312 + t^2.375 + 3*t^2.438 + t^3.499 + t^3.625 + t^3.688 + t^3.751 + t^4.624 + t^4.687 + 4*t^4.75 + 4*t^4.813 + 6*t^4.876 + t^5.811 + 2*t^5.937 - t^6. - t^4.187/y - t^4.187*y | detail |