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
45915	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{2}$	0.6281	0.7586	0.8281	[M:[0.7009, 0.7009, 1.2889], q:[0.4769, 0.8222], qb:[0.8222, 0.4566], phi:[0.3555]]	[M:[[-4, -3, 1], [-3, -4, 1], [2, 2, 0]], q:[[3, 3, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[-1, -1, 0]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{3}$	${}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$	-3	2*t^2.103 + t^2.8 + t^3.806 + 2*t^3.836 + 2*t^3.867 + t^3.928 + 3*t^4.205 + 2*t^4.903 + t^4.933 + t^5.6 + 2*t^5.909 + 3*t^5.939 + 2*t^5.97 - 3*t^6. - t^6.061 + 4*t^6.308 + t^6.606 + 2*t^6.637 + 2*t^6.667 + t^6.728 + 2*t^7.006 - 2*t^7.067 - 2*t^7.097 - t^7.127 + t^7.612 + 2*t^7.642 + 4*t^7.673 + 4*t^7.703 + 2*t^7.734 + t^7.795 + t^7.855 + 3*t^8.011 + 4*t^8.042 + 2*t^8.072 - 6*t^8.103 - 2*t^8.164 + t^8.401 + 5*t^8.411 + 2*t^8.709 + 3*t^8.739 + 2*t^8.77 - 3*t^8.8 - 2*t^8.831 - t^8.861 - t^4.067/y - (2*t^6.169)/y + t^7.205/y + (2*t^7.903)/y + (2*t^7.964)/y - (3*t^8.272)/y + (2*t^8.909)/y + (4*t^8.939)/y + (4*t^8.97)/y - t^4.067*y - 2*t^6.169*y + t^7.205*y + 2*t^7.903*y + 2*t^7.964*y - 3*t^8.272*y + 2*t^8.909*y + 4*t^8.939*y + 4*t^8.97*y	(g3*t^2.103)/(g1^3*g2^4) + (g3*t^2.103)/(g1^4*g2^3) + g1^3*g2^3*t^2.8 + (g3^2*t^3.806)/(g1*g2) + g1*g3*t^3.836 + g2*g3*t^3.836 + 2*g1^2*g2^2*t^3.867 + (g1^5*g2^5*t^3.928)/g3^2 + (g3^2*t^4.205)/(g1^6*g2^8) + (g3^2*t^4.205)/(g1^7*g2^7) + (g3^2*t^4.205)/(g1^8*g2^6) + (g3*t^4.903)/g1 + (g3*t^4.903)/g2 + g1*g2*t^4.933 + g1^6*g2^6*t^5.6 + (g3^3*t^5.909)/(g1^4*g2^5) + (g3^3*t^5.909)/(g1^5*g2^4) + (g3^2*t^5.939)/(g1^2*g2^4) + (g3^2*t^5.939)/(g1^3*g2^3) + (g3^2*t^5.939)/(g1^4*g2^2) + (g3*t^5.97)/(g1*g2^2) + (g3*t^5.97)/(g1^2*g2) - 3*t^6. - (g1^3*g2^3*t^6.061)/g3^2 + (g3^3*t^6.308)/(g1^9*g2^12) + (g3^3*t^6.308)/(g1^10*g2^11) + (g3^3*t^6.308)/(g1^11*g2^10) + (g3^3*t^6.308)/(g1^12*g2^9) + g1^2*g2^2*g3^2*t^6.606 + g1^4*g2^3*g3*t^6.637 + g1^3*g2^4*g3*t^6.637 + 2*g1^5*g2^5*t^6.667 + (g1^8*g2^8*t^6.728)/g3^2 + (g3^2*t^7.006)/(g1^3*g2^5) + (g3^2*t^7.006)/(g1^5*g2^3) - (2*t^7.067)/(g1*g2) - (g1*t^7.097)/g3 - (g2*t^7.097)/g3 - (g1^2*g2^2*t^7.127)/g3^2 + (g3^4*t^7.612)/(g1^2*g2^2) + (g3^3*t^7.642)/g1 + (g3^3*t^7.642)/g2 + g1^2*g3^2*t^7.673 + 2*g1*g2*g3^2*t^7.673 + g2^2*g3^2*t^7.673 + 2*g1^3*g2^2*g3*t^7.703 + 2*g1^2*g2^3*g3*t^7.703 + 2*g1^4*g2^4*t^7.734 + (g1^7*g2^7*t^7.795)/g3^2 + (g1^10*g2^10*t^7.855)/g3^4 + (g3^4*t^8.011)/(g1^7*g2^9) + (g3^4*t^8.011)/(g1^8*g2^8) + (g3^4*t^8.011)/(g1^9*g2^7) + (g3^3*t^8.042)/(g1^5*g2^8) + (g3^3*t^8.042)/(g1^6*g2^7) + (g3^3*t^8.042)/(g1^7*g2^6) + (g3^3*t^8.042)/(g1^8*g2^5) + (g3^2*t^8.072)/(g1^4*g2^6) + (g3^2*t^8.072)/(g1^6*g2^4) - (3*g3*t^8.103)/(g1^3*g2^4) - (3*g3*t^8.103)/(g1^4*g2^3) - t^8.164/(g1*g3) - t^8.164/(g2*g3) + g1^9*g2^9*t^8.401 + (g3^4*t^8.411)/(g1^12*g2^16) + (g3^4*t^8.411)/(g1^13*g2^15) + (g3^4*t^8.411)/(g1^14*g2^14) + (g3^4*t^8.411)/(g1^15*g2^13) + (g3^4*t^8.411)/(g1^16*g2^12) + (g3^3*t^8.709)/(g1*g2^2) + (g3^3*t^8.709)/(g1^2*g2) + g3^2*t^8.739 + (g1*g3^2*t^8.739)/g2 + (g2*g3^2*t^8.739)/g1 + g1^2*g2*g3*t^8.77 + g1*g2^2*g3*t^8.77 - 3*g1^3*g2^3*t^8.8 - (g1^5*g2^4*t^8.831)/g3 - (g1^4*g2^5*t^8.831)/g3 - (g1^6*g2^6*t^8.861)/g3^2 - t^4.067/(g1*g2*y) - (g3*t^6.169)/(g1^4*g2^5*y) - (g3*t^6.169)/(g1^5*g2^4*y) + (g3^2*t^7.205)/(g1^7*g2^7*y) + (g3*t^7.903)/(g1*y) + (g3*t^7.903)/(g2*y) + (g1^3*g2^2*t^7.964)/(g3*y) + (g1^2*g2^3*t^7.964)/(g3*y) - (g3^2*t^8.272)/(g1^7*g2^9*y) - (g3^2*t^8.272)/(g1^8*g2^8*y) - (g3^2*t^8.272)/(g1^9*g2^7*y) + (g3^3*t^8.909)/(g1^4*g2^5*y) + (g3^3*t^8.909)/(g1^5*g2^4*y) + (g3^2*t^8.939)/(g1^2*g2^4*y) + (2*g3^2*t^8.939)/(g1^3*g2^3*y) + (g3^2*t^8.939)/(g1^4*g2^2*y) + (2*g3*t^8.97)/(g1*g2^2*y) + (2*g3*t^8.97)/(g1^2*g2*y) - (t^4.067*y)/(g1*g2) - (g3*t^6.169*y)/(g1^4*g2^5) - (g3*t^6.169*y)/(g1^5*g2^4) + (g3^2*t^7.205*y)/(g1^7*g2^7) + (g3*t^7.903*y)/g1 + (g3*t^7.903*y)/g2 + (g1^3*g2^2*t^7.964*y)/g3 + (g1^2*g2^3*t^7.964*y)/g3 - (g3^2*t^8.272*y)/(g1^7*g2^9) - (g3^2*t^8.272*y)/(g1^8*g2^8) - (g3^2*t^8.272*y)/(g1^9*g2^7) + (g3^3*t^8.909*y)/(g1^4*g2^5) + (g3^3*t^8.909*y)/(g1^5*g2^4) + (g3^2*t^8.939*y)/(g1^2*g2^4) + (2*g3^2*t^8.939*y)/(g1^3*g2^3) + (g3^2*t^8.939*y)/(g1^4*g2^2) + (2*g3*t^8.97*y)/(g1*g2^2) + (2*g3*t^8.97*y)/(g1^2*g2)

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
46013	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$	0.628	0.7571	0.8294	[M:[0.7014, 0.7124, 1.2913], q:[0.4703, 0.8283], qb:[0.8173, 0.4666], phi:[0.3544]]	t^2.104 + t^2.137 + t^2.811 + t^3.852 + t^3.863 + 2*t^3.874 + 2*t^3.885 + t^4.208 + t^4.241 + t^4.274 + t^4.915 + t^4.937 + t^4.948 + t^5.622 + t^5.956 + t^5.967 + t^5.978 + t^5.989 - 2*t^6. - t^4.063/y - t^4.063*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
45860	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$	0.6485	0.7967	0.8141	[M:[0.696, 0.696], q:[0.4802, 0.8238], qb:[0.8238, 0.4626], phi:[0.3524]]	2*t^2.088 + t^2.114 + t^2.828 + t^3.833 + 2*t^3.859 + t^3.886 + t^3.939 + 3*t^4.176 + 2*t^4.202 + t^4.229 + 2*t^4.916 + 2*t^4.943 + t^5.657 + 2*t^5.921 + 4*t^5.947 + 2*t^5.974 - 2*t^6. - t^4.057/y - t^4.057*y	detail