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 |
---|---|---|---|---|---|---|---|---|---|
425 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6881 | 0.854 | 0.8057 | [M:[0.989, 1.1188, 0.9764, 0.7734, 0.6908], q:[0.7797, 0.4343], qb:[0.5767, 0.4469], phi:[0.4406]] | [M:[[-7, 1], [4, 0], [-11, -1], [-1, -1], [10, 2]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$ | ${}$ | -2 | t^2.072 + t^2.32 + t^2.644 + t^2.929 + t^2.967 + t^3.356 + t^3.642 + t^3.965 + t^4.003 + t^4.069 + t^4.145 + t^4.355 + 2*t^4.393 + t^4.64 + t^4.716 + t^4.782 + t^4.964 + t^5.002 + t^5.04 + t^5.249 + 2*t^5.287 + t^5.429 + t^5.677 + t^5.714 + t^5.858 + t^5.896 + t^5.934 - 2*t^6. + t^6.076 + t^6.142 + t^6.217 + 2*t^6.286 + t^6.323 + 2*t^6.465 + t^6.571 + t^6.609 + t^6.647 + t^6.675 + 2*t^6.713 + t^6.789 + t^6.854 + t^6.933 + t^6.96 + t^6.97 + t^6.998 + t^7.036 + t^7.074 + t^7.102 + t^7.112 + t^7.284 + t^7.322 + 2*t^7.36 + t^7.426 + t^7.501 + t^7.569 + 2*t^7.607 + t^7.711 + t^7.749 + t^7.787 + 2*t^7.931 + 2*t^7.969 + t^7.997 + 2*t^8.007 - 2*t^8.072 + t^8.138 + t^8.148 + t^8.179 + t^8.214 + t^8.216 + t^8.254 + t^8.29 - 3*t^8.32 + t^8.358 + 2*t^8.396 + t^8.424 + 2*t^8.538 + t^8.606 + t^8.719 + 3*t^8.785 + t^8.788 + t^8.825 + t^8.851 + t^8.861 + t^8.863 + t^8.901 + t^8.927 - 2*t^8.929 - 3*t^8.967 + t^8.995 - t^4.322/y - t^6.394/y - t^6.642/y - t^7.251/y - t^7.289/y + t^7.355/y + (2*t^7.393)/y + t^7.716/y + t^7.964/y + (2*t^8.002)/y + t^8.04/y + (2*t^8.249)/y + t^8.287/y + t^8.429/y - t^8.467/y + t^8.573/y + t^8.611/y + t^8.677/y + t^8.896/y - t^4.322*y - t^6.394*y - t^6.642*y - t^7.251*y - t^7.289*y + t^7.355*y + 2*t^7.393*y + t^7.716*y + t^7.964*y + 2*t^8.002*y + t^8.04*y + 2*t^8.249*y + t^8.287*y + t^8.429*y - t^8.467*y + t^8.573*y + t^8.611*y + t^8.677*y + t^8.896*y | g1^10*g2^2*t^2.072 + t^2.32/(g1*g2) + t^2.644/g1^4 + t^2.929/(g1^11*g2) + (g2*t^2.967)/g1^7 + g1^4*t^3.356 + t^3.642/(g1^3*g2) + t^3.965/g1^6 + (g2^2*t^4.003)/g1^2 + g1^12*t^4.069 + g1^20*g2^4*t^4.145 + (g1^5*t^4.355)/g2 + 2*g1^9*g2*t^4.393 + t^4.64/(g1^2*g2^2) + g1^6*g2^2*t^4.716 + g1^20*t^4.782 + t^4.964/(g1^5*g2) + (g2*t^5.002)/g1 + g1^3*g2^3*t^5.04 + t^5.249/(g1^12*g2^2) + (2*t^5.287)/g1^8 + g1^14*g2^2*t^5.429 + (g1^3*t^5.677)/g2 + g1^7*g2*t^5.714 + t^5.858/(g1^22*g2^2) + t^5.896/g1^18 + (g2^2*t^5.934)/g1^14 - 2*t^6. + g1^8*g2^4*t^6.076 + g1^22*g2^2*t^6.142 + g1^30*g2^6*t^6.217 + (2*t^6.286)/(g1^7*g2) + (g2*t^6.323)/g1^3 + 2*g1^19*g2^3*t^6.465 + t^6.571/(g1^14*g2^2) + t^6.609/g1^10 + (g2^2*t^6.647)/g1^6 + (g1^4*t^6.675)/g2^2 + 2*g1^8*t^6.713 + g1^16*g2^4*t^6.789 + g1^30*g2^2*t^6.854 + (g2*t^6.933)/g1^13 + t^6.96/(g1^3*g2^3) + (g2^3*t^6.97)/g1^9 + (g1*t^6.998)/g2 + g1^5*g2*t^7.036 + g1^9*g2^3*t^7.074 + (g1^19*t^7.102)/g2 + g1^13*g2^5*t^7.112 + t^7.284/(g1^6*g2^2) + t^7.322/g1^2 + 2*g1^2*g2^2*t^7.36 + g1^16*t^7.426 + g1^24*g2^4*t^7.501 + t^7.569/(g1^13*g2^3) + (2*t^7.607)/(g1^9*g2) + (g1^9*t^7.711)/g2 + g1^13*g2*t^7.749 + g1^17*g2^3*t^7.787 + (2*t^7.931)/g1^12 + (2*g2^2*t^7.969)/g1^8 + (g1^2*t^7.997)/g2^2 + (2*g2^4*t^8.007)/g1^4 - 2*g1^10*g2^2*t^8.072 + g1^24*t^8.138 + g1^18*g2^6*t^8.148 + t^8.179/(g1^23*g2^3) + g1^32*g2^4*t^8.214 + t^8.216/(g1^19*g2) + (g2*t^8.254)/g1^15 + g1^40*g2^8*t^8.29 - (3*t^8.32)/(g1*g2) + g1^3*g2*t^8.358 + 2*g1^7*g2^3*t^8.396 + (g1^17*t^8.424)/g2 + 2*g1^29*g2^5*t^8.538 + t^8.606/(g1^8*g2^2) + g1^4*g2^4*t^8.719 + 3*g1^18*g2^2*t^8.785 + t^8.788/(g1^33*g2^3) + t^8.825/(g1^29*g2) + g1^32*t^8.851 + g1^26*g2^6*t^8.861 + (g2*t^8.863)/g1^25 + (g2^3*t^8.901)/g1^21 + g1^40*g2^4*t^8.927 - (2*t^8.929)/(g1^11*g2) - (3*g2*t^8.967)/g1^7 + (g1^3*t^8.995)/g2^3 - t^4.322/(g1^2*y) - (g1^8*g2^2*t^6.394)/y - t^6.642/(g1^3*g2*y) - t^7.251/(g1^13*g2*y) - (g2*t^7.289)/(g1^9*y) + (g1^5*t^7.355)/(g2*y) + (2*g1^9*g2*t^7.393)/y + (g1^6*g2^2*t^7.716)/y + t^7.964/(g1^5*g2*y) + (2*g2*t^8.002)/(g1*y) + (g1^3*g2^3*t^8.04)/y + (2*t^8.249)/(g1^12*g2^2*y) + t^8.287/(g1^8*y) + (g1^14*g2^2*t^8.429)/y - (g1^18*g2^4*t^8.467)/y + t^8.573/(g1^15*g2*y) + (g2*t^8.611)/(g1^11*y) + (g1^3*t^8.677)/(g2*y) + t^8.896/(g1^18*y) - (t^4.322*y)/g1^2 - g1^8*g2^2*t^6.394*y - (t^6.642*y)/(g1^3*g2) - (t^7.251*y)/(g1^13*g2) - (g2*t^7.289*y)/g1^9 + (g1^5*t^7.355*y)/g2 + 2*g1^9*g2*t^7.393*y + g1^6*g2^2*t^7.716*y + (t^7.964*y)/(g1^5*g2) + (2*g2*t^8.002*y)/g1 + g1^3*g2^3*t^8.04*y + (2*t^8.249*y)/(g1^12*g2^2) + (t^8.287*y)/g1^8 + g1^14*g2^2*t^8.429*y - g1^18*g2^4*t^8.467*y + (t^8.573*y)/(g1^15*g2) + (g2*t^8.611*y)/g1^11 + (g1^3*t^8.677*y)/g2 + (t^8.896*y)/g1^18 |
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 |
---|---|---|---|---|---|---|---|---|---|
265 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6675 | 0.8146 | 0.8195 | [M:[0.9917, 1.1204, 0.9667, 0.7676], q:[0.7801, 0.4273], qb:[0.581, 0.4523], phi:[0.4398]] | t^2.303 + t^2.639 + t^2.9 + t^2.975 + t^3.361 + t^3.622 + t^3.883 + t^3.958 + t^4.033 + t^4.083 + t^4.344 + t^4.419 + t^4.605 + t^4.805 + t^4.942 + t^5.203 + 2*t^5.278 + t^5.664 + t^5.8 + t^5.875 + t^5.95 - 2*t^6. - t^4.319/y - t^4.319*y | detail |