Landscape


$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =



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.

#TheorySuperpotentialCentral charge $a$Central charge $c$Ratio $a/c$Matter field: $R$-chargeU(1) part of $F_{UV}$Rank of $F_{UV}$Rational
57328 SU3adj1nf2 ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ 1.4395 1.6243 0.8862 [X:[1.3404], q:[0.5638, 0.5427], qb:[0.4362, 0.4785], phi:[0.3298]] [X:[[6]], q:[[7], [-11]], qb:[[-7], [29]], phi:[[-3]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
${}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$ ${}$ -1 t^2.937 + t^2.968 + t^3. + t^3.063 + t^3.127 + t^3.926 + t^3.989 + t^4.021 + t^4.053 + t^4.116 + t^4.916 + t^4.979 + 2*t^5.042 + t^5.106 + t^5.169 + t^5.905 + 2*t^5.937 + t^5.968 - t^6. + 2*t^6.032 + t^6.063 + t^6.095 + t^6.127 + t^6.158 + t^6.19 + t^6.253 + 2*t^6.894 + 2*t^6.926 + 2*t^6.958 + 2*t^6.989 + 3*t^7.021 + 2*t^7.053 + 2*t^7.084 + t^7.116 + 2*t^7.148 + 2*t^7.179 + t^7.243 + t^7.274 + 2*t^7.852 + 2*t^7.916 + t^7.947 + 4*t^7.979 + t^8.011 + 5*t^8.042 + t^8.074 + 4*t^8.106 + t^8.137 + 4*t^8.169 + 2*t^8.232 + t^8.296 - t^8.81 + t^8.842 + 3*t^8.905 - 2*t^8.937 + 4*t^8.968 + t^8.968/y^2 - t^3.989/y - t^4.979/y - t^6.926/y - t^6.958/y - t^6.989/y - t^7.053/y - t^7.116/y - t^7.916/y - t^7.947/y - t^7.979/y - t^8.042/y - t^8.106/y + t^8.937/y - t^3.989*y - t^4.979*y - t^6.926*y - t^6.958*y - t^6.989*y - t^7.053*y - t^7.116*y - t^7.916*y - t^7.947*y - t^7.979*y - t^8.042*y - t^8.106*y + t^8.937*y + t^8.968*y^2 t^2.937/g1^18 + t^2.968/g1^9 + t^3. + g1^18*t^3.063 + g1^36*t^3.127 + t^3.926/g1^21 + t^3.989/g1^3 + g1^6*t^4.021 + g1^15*t^4.053 + g1^33*t^4.116 + t^4.916/g1^24 + t^4.979/g1^6 + 2*g1^12*t^5.042 + g1^30*t^5.106 + g1^48*t^5.169 + t^5.905/g1^27 + (2*t^5.937)/g1^18 + t^5.968/g1^9 - t^6. + 2*g1^9*t^6.032 + g1^18*t^6.063 + g1^27*t^6.095 + g1^36*t^6.127 + g1^45*t^6.158 + g1^54*t^6.19 + g1^72*t^6.253 + (2*t^6.894)/g1^30 + (2*t^6.926)/g1^21 + (2*t^6.958)/g1^12 + (2*t^6.989)/g1^3 + 3*g1^6*t^7.021 + 2*g1^15*t^7.053 + 2*g1^24*t^7.084 + g1^33*t^7.116 + 2*g1^42*t^7.148 + 2*g1^51*t^7.179 + g1^69*t^7.243 + g1^78*t^7.274 + (2*t^7.852)/g1^42 + (2*t^7.916)/g1^24 + t^7.947/g1^15 + (4*t^7.979)/g1^6 + g1^3*t^8.011 + 5*g1^12*t^8.042 + g1^21*t^8.074 + 4*g1^30*t^8.106 + g1^39*t^8.137 + 4*g1^48*t^8.169 + 2*g1^66*t^8.232 + g1^84*t^8.296 - t^8.81/g1^54 + t^8.842/g1^45 + (3*t^8.905)/g1^27 - (2*t^8.937)/g1^18 + (4*t^8.968)/g1^9 + t^8.968/(g1^9*y^2) - t^3.989/(g1^3*y) - t^4.979/(g1^6*y) - t^6.926/(g1^21*y) - t^6.958/(g1^12*y) - t^6.989/(g1^3*y) - (g1^15*t^7.053)/y - (g1^33*t^7.116)/y - t^7.916/(g1^24*y) - t^7.947/(g1^15*y) - t^7.979/(g1^6*y) - (g1^12*t^8.042)/y - (g1^30*t^8.106)/y + t^8.937/(g1^18*y) - (t^3.989*y)/g1^3 - (t^4.979*y)/g1^6 - (t^6.926*y)/g1^21 - (t^6.958*y)/g1^12 - (t^6.989*y)/g1^3 - g1^15*t^7.053*y - g1^33*t^7.116*y - (t^7.916*y)/g1^24 - (t^7.947*y)/g1^15 - (t^7.979*y)/g1^6 - g1^12*t^8.042*y - g1^30*t^8.106*y + (t^8.937*y)/g1^18 + (t^8.968*y^2)/g1^9


Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#SuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
58126 ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ 1.4603 1.6658 0.8766 [X:[1.3404], M:[0.6702], q:[0.5637, 0.5427], qb:[0.4363, 0.4784], phi:[0.3298]] t^2.01 + t^2.94 + t^2.97 + t^3. + t^3.06 + t^3.13 + t^3.93 + 2*t^4.02 + t^4.05 + t^4.12 + t^4.92 + t^4.95 + 2*t^4.98 + t^5.01 + 2*t^5.04 + t^5.07 + t^5.11 + t^5.14 + t^5.17 + t^5.91 + 3*t^5.94 + t^5.97 - t^6. - t^3.99/y - t^4.98/y - t^6./y - t^3.99*y - t^4.98*y - t^6.*y detail
58124 ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ 1.4601 1.6646 0.8772 [X:[1.3398], M:[0.6894], q:[0.5631, 0.5437], qb:[0.4369, 0.4758], phi:[0.3301]] t^2.07 + t^2.94 + t^2.97 + t^3. + t^3.06 + t^3.12 + t^3.99 + t^4.02 + t^4.05 + t^4.11 + t^4.14 + t^4.92 + t^4.98 + t^5.01 + 3*t^5.04 + t^5.07 + t^5.1 + t^5.13 + t^5.16 + t^5.18 + t^5.91 + 2*t^5.94 + t^5.97 - t^6. - t^3.99/y - t^4.98/y - t^3.99*y - t^4.98*y detail
58116 ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ 1.0443 1.1636 0.8975 [X:[1.4545, 1.3636], M:[], q:[0.697, 0.3333], qb:[0.303, 1.0303], phi:[0.2727]] t^2.45 + t^2.73 + t^3. + t^3.55 + 2*t^4.09 + t^4.36 + 2*t^4.91 + 3*t^5.18 + 2*t^5.45 + 2*t^5.73 - t^6. - t^3.82/y - t^4.64/y - t^3.82*y - t^4.64*y detail {a: 22239/21296, c: 6195/5324, X1: 16/11, X2: 15/11, q1: 23/33, q2: 1/3, qb1: 10/33, qb2: 34/33, phi1: 3/11}


Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore 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.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
47883 SU3adj1nf2 ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ 1.4532 1.6411 0.8855 [X:[1.3322], q:[0.4975, 0.5008], qb:[0.5025, 0.4959], phi:[0.3339]] t^2.98 + t^2.99 + t^3. + t^3.005 + t^3.01 + t^3.982 + t^3.992 + t^3.997 + t^4.002 + t^4.011 + t^4.984 + t^4.993 + t^5.003 + t^5.013 + t^5.484 + t^5.489 + t^5.499 + t^5.504 + t^5.961 + t^5.971 + t^5.98 + t^5.985 + t^5.99 + t^5.995 - 2*t^6. - t^4.002/y - t^5.003/y - t^4.002*y - t^5.003*y detail