Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
45885	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$	0.6484	0.7957	0.8149	[M:[0.7032, 0.6984], q:[0.8242, 0.8242], qb:[0.4774, 0.4679], phi:[0.3516]]	[M:[[-4, -4], [-7, -1]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$	${}$	-2	t^2.095 + 2*t^2.109 + t^2.836 + t^3.862 + 2*t^3.876 + t^3.905 + t^3.919 + t^4.19 + 2*t^4.205 + 3*t^4.219 + t^4.931 + 3*t^4.945 + t^5.672 + t^5.957 + 3*t^5.971 + 2*t^5.986 - 2*t^6. + t^6.014 + t^6.029 + t^6.285 + 2*t^6.3 + 3*t^6.314 + 4*t^6.328 + t^6.698 + 2*t^6.712 + t^6.741 + t^6.755 + t^7.04 + 3*t^7.055 - 2*t^7.069 - t^7.083 + t^7.724 + 2*t^7.738 + 2*t^7.752 + 3*t^7.781 + t^7.824 + t^7.838 + t^8.052 + 3*t^8.067 + 3*t^8.081 - 4*t^8.109 + t^8.138 + t^8.381 + 2*t^8.395 + 3*t^8.409 + 4*t^8.424 + 5*t^8.438 + t^8.507 + t^8.793 + 3*t^8.807 + 2*t^8.821 - 4*t^8.836 + t^8.864 - t^4.055/y - t^6.15/y - (2*t^6.164)/y + (2*t^7.205)/y + t^7.219/y + t^7.931/y + (4*t^7.945)/y + t^7.96/y - t^8.245/y - (2*t^8.259)/y - (3*t^8.274)/y + t^8.957/y + (4*t^8.971)/y + (4*t^8.986)/y - t^4.055*y - t^6.15*y - 2*t^6.164*y + 2*t^7.205*y + t^7.219*y + t^7.931*y + 4*t^7.945*y + t^7.96*y - t^8.245*y - 2*t^8.259*y - 3*t^8.274*y + t^8.957*y + 4*t^8.971*y + 4*t^8.986*y	t^2.095/(g1^7*g2) + (2*t^2.109)/(g1^4*g2^4) + g1^6*g2^6*t^2.836 + (g2^10*t^3.862)/g1^2 + 2*g1*g2^7*t^3.876 + g1^7*g2*t^3.905 + (g1^10*t^3.919)/g2^2 + t^4.19/(g1^14*g2^2) + (2*t^4.205)/(g1^11*g2^5) + (3*t^4.219)/(g1^8*g2^8) + (g2^5*t^4.931)/g1 + 3*g1^2*g2^2*t^4.945 + g1^12*g2^12*t^5.672 + (g2^9*t^5.957)/g1^9 + (3*g2^6*t^5.971)/g1^6 + (2*g2^3*t^5.986)/g1^3 - 2*t^6. + (g1^3*t^6.014)/g2^3 + (g1^6*t^6.029)/g2^6 + t^6.285/(g1^21*g2^3) + (2*t^6.3)/(g1^18*g2^6) + (3*t^6.314)/(g1^15*g2^9) + (4*t^6.328)/(g1^12*g2^12) + g1^4*g2^16*t^6.698 + 2*g1^7*g2^13*t^6.712 + g1^13*g2^7*t^6.741 + g1^16*g2^4*t^6.755 + (g2*t^7.04)/g1^5 + (3*t^7.055)/(g1^2*g2^2) - (2*g1*t^7.069)/g2^5 - (g1^4*t^7.083)/g2^8 + (g2^20*t^7.724)/g1^4 + (2*g2^17*t^7.738)/g1 + 2*g1^2*g2^14*t^7.752 + 3*g1^8*g2^8*t^7.781 + (g1^17*t^7.824)/g2 + (g1^20*t^7.838)/g2^4 + (g2^8*t^8.052)/g1^16 + (3*g2^5*t^8.067)/g1^13 + (3*g2^2*t^8.081)/g1^10 - (4*t^8.109)/(g1^4*g2^4) + (g1^2*t^8.138)/g2^10 + t^8.381/(g1^28*g2^4) + (2*t^8.395)/(g1^25*g2^7) + (3*t^8.409)/(g1^22*g2^10) + (4*t^8.424)/(g1^19*g2^13) + (5*t^8.438)/(g1^16*g2^16) + g1^18*g2^18*t^8.507 + (g2^15*t^8.793)/g1^3 + 3*g2^12*t^8.807 + 2*g1^3*g2^9*t^8.821 - 4*g1^6*g2^6*t^8.836 + g1^12*t^8.864 - t^4.055/(g1^2*g2^2*y) - t^6.15/(g1^9*g2^3*y) - (2*t^6.164)/(g1^6*g2^6*y) + (2*t^7.205)/(g1^11*g2^5*y) + t^7.219/(g1^8*g2^8*y) + (g2^5*t^7.931)/(g1*y) + (4*g1^2*g2^2*t^7.945)/y + (g1^5*t^7.96)/(g2*y) - t^8.245/(g1^16*g2^4*y) - (2*t^8.259)/(g1^13*g2^7*y) - (3*t^8.274)/(g1^10*g2^10*y) + (g2^9*t^8.957)/(g1^9*y) + (4*g2^6*t^8.971)/(g1^6*y) + (4*g2^3*t^8.986)/(g1^3*y) - (t^4.055*y)/(g1^2*g2^2) - (t^6.15*y)/(g1^9*g2^3) - (2*t^6.164*y)/(g1^6*g2^6) + (2*t^7.205*y)/(g1^11*g2^5) + (t^7.219*y)/(g1^8*g2^8) + (g2^5*t^7.931*y)/g1 + 4*g1^2*g2^2*t^7.945*y + (g1^5*t^7.96*y)/g2 - (t^8.245*y)/(g1^16*g2^4) - (2*t^8.259*y)/(g1^13*g2^7) - (3*t^8.274*y)/(g1^10*g2^10) + (g2^9*t^8.957*y)/g1^9 + (4*g2^6*t^8.971*y)/g1^6 + (4*g2^3*t^8.986*y)/g1^3

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
45949	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$	0.6691	0.8364	0.8	[M:[0.7014, 0.6923, 0.6833], q:[0.8247, 0.8247], qb:[0.483, 0.4649], phi:[0.3507]]	t^2.05 + t^2.077 + 2*t^2.104 + t^2.844 + t^3.842 + 2*t^3.869 + t^3.923 + t^4.1 + t^4.127 + 3*t^4.154 + 2*t^4.181 + 3*t^4.208 + t^4.894 + t^4.921 + 3*t^4.948 + t^5.688 + t^5.892 + 3*t^5.919 + 3*t^5.946 + 3*t^5.973 - 2*t^6. - t^4.052/y - t^4.052*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
45852	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$	0.6485	0.7964	0.8143	[M:[0.7044, 0.6901], q:[0.8132, 0.8346], qb:[0.4753, 0.4681], phi:[0.3522]]	t^2.07 + 2*t^2.113 + t^2.83 + t^3.844 + 2*t^3.865 + 2*t^3.908 + t^4.141 + 2*t^4.184 + 3*t^4.226 + t^4.901 + 3*t^4.943 + t^5.66 + t^5.914 + 2*t^5.936 + t^5.957 + 4*t^5.979 - 3*t^6. - t^4.057/y - t^4.057*y	detail