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
79	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$	0.7394	0.8922	0.8287	[M:[0.8151, 0.7774], q:[0.6113, 0.5736], qb:[0.6113, 0.5736], phi:[0.4075]]	[M:[[0, -2, -2], [1, -4, -2]], q:[[-1, 2, 2], [1, 0, 0]], qb:[[0, 2, 0], [0, 0, 2]], phi:[[0, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{1}\tilde{q}_{1}\tilde{q}_{2}$	-2	t^2.332 + 2*t^2.445 + t^3.441 + 3*t^3.555 + 4*t^4.664 + 6*t^4.777 + 6*t^4.891 + t^5.774 + t^5.887 - 2*t^6. - 4*t^6.113 + t^6.883 + 7*t^6.996 + 13*t^7.109 + 7*t^7.223 + 6*t^7.336 + 4*t^8.106 + 7*t^8.219 - 5*t^8.445 - 5*t^8.559 - t^4.223/y - t^6.555/y - (2*t^6.668)/y + (4*t^7.777)/y + (2*t^7.891)/y + t^8.774/y + (4*t^8.887)/y - t^4.223*y - t^6.555*y - 2*t^6.668*y + 4*t^7.777*y + 2*t^7.891*y + t^8.774*y + 4*t^8.887*y	(g1*t^2.332)/(g2^4*g3^2) + (2*t^2.445)/(g2^2*g3^2) + g1*g3^2*t^3.441 + g1*g2^2*t^3.555 + g2^2*g3^2*t^3.555 + (g2^2*g3^4*t^3.555)/g1 + (g1^2*t^4.664)/(g2^8*g3^4) + (g1^2*t^4.664)/(g2*g3) + (g1*g3*t^4.664)/g2 + (g3^3*t^4.664)/g2 + (2*g1*t^4.777)/(g2^6*g3^4) + (g1*g2*t^4.777)/g3 + 2*g2*g3*t^4.777 + (g2*g3^3*t^4.777)/g1 + (3*t^4.891)/(g2^4*g3^4) + (g2^3*t^4.891)/g3 + (g2^3*g3*t^4.891)/g1 + (g2^3*g3^3*t^4.891)/g1^2 + (g1^2*t^5.774)/g2^4 + (g1*t^5.887)/g2^2 - 2*t^6. - (2*g2^2*t^6.113)/g1 - (g2^2*t^6.113)/g3^2 - (g2^2*g3^2*t^6.113)/g1^2 + g1^2*g3^4*t^6.883 + (g1^3*t^6.996)/(g2^12*g3^6) + (g1^3*t^6.996)/(g2^5*g3^3) + (g1^2*t^6.996)/(g2^5*g3) + (g1*g3*t^6.996)/g2^5 + g1^2*g2^2*g3^2*t^6.996 + g1*g2^2*g3^4*t^6.996 + g2^2*g3^6*t^6.996 + g1^2*g2^4*t^7.109 + (2*g1^2*t^7.109)/(g2^10*g3^6) + (2*g1^2*t^7.109)/(g2^3*g3^3) + (2*g1*t^7.109)/(g2^3*g3) + (2*g3*t^7.109)/g2^3 + g1*g2^4*g3^2*t^7.109 + g2^4*g3^4*t^7.109 + (g2^4*g3^6*t^7.109)/g1 + (g2^4*g3^8*t^7.109)/g1^2 + (3*g1*t^7.223)/(g2^8*g3^6) + (g1*t^7.223)/(g2*g3^3) + (2*t^7.223)/(g2*g3) + (g3*t^7.223)/(g1*g2) + (4*t^7.336)/(g2^6*g3^6) + (g2*t^7.336)/g3^3 + (g2*g3*t^7.336)/g1^2 + (g1^3*t^8.106)/(g2^8*g3^2) + (g1^3*g3*t^8.106)/g2 + (g1^2*g3^3*t^8.106)/g2 + (g1*g3^5*t^8.106)/g2 + (g1^2*t^8.219)/(g2^6*g3^2) + (g1^3*g2*t^8.219)/g3 + g1^2*g2*g3*t^8.219 + 2*g1*g2*g3^3*t^8.219 + g2*g3^5*t^8.219 + (g2*g3^7*t^8.219)/g1 - t^8.332/g2^4 - (g1^2*t^8.332)/(g2^4*g3^4) - (2*g1*t^8.332)/(g2^4*g3^2) + (g1^2*g2^3*t^8.332)/g3 + g1*g2^3*g3*t^8.332 + (g2^3*g3^5*t^8.332)/g1 + (g2^3*g3^7*t^8.332)/g1^2 - t^8.445/(g1*g2^2) - (g1*t^8.445)/(g2^2*g3^4) - (5*t^8.445)/(g2^2*g3^2) + (g1*g2^5*t^8.445)/g3 + (g2^5*g3^7*t^8.445)/g1^3 - t^8.559/g1^2 - t^8.559/g3^4 - (3*t^8.559)/(g1*g3^2) - t^4.223/(g2*g3*y) - (g1*t^6.555)/(g2^5*g3^3*y) - (2*t^6.668)/(g2^3*g3^3*y) + (2*g1*t^7.777)/(g2^6*g3^4*y) + (2*g2*g3*t^7.777)/y + t^7.891/(g2^4*g3^4*y) + (g2^3*g3*t^7.891)/(g1*y) + (g1^2*t^8.774)/(g2^4*y) + (3*g1*t^8.887)/(g2^2*y) - (g1^2*t^8.887)/(g2^9*g3^5*y) + (g1^2*t^8.887)/(g2^2*g3^2*y) + (g3^2*t^8.887)/(g2^2*y) - (t^4.223*y)/(g2*g3) - (g1*t^6.555*y)/(g2^5*g3^3) - (2*t^6.668*y)/(g2^3*g3^3) + (2*g1*t^7.777*y)/(g2^6*g3^4) + 2*g2*g3*t^7.777*y + (t^7.891*y)/(g2^4*g3^4) + (g2^3*g3*t^7.891*y)/g1 + (g1^2*t^8.774*y)/g2^4 + (3*g1*t^8.887*y)/g2^2 - (g1^2*t^8.887*y)/(g2^9*g3^5) + (g1^2*t^8.887*y)/(g2^2*g3^2) + (g3^2*t^8.887*y)/g2^2

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
125	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$	0.7382	0.8885	0.8308	[M:[0.8108, 0.8108], q:[0.5946, 0.5946], qb:[0.5946, 0.5946], phi:[0.4054]]	3*t^2.432 + 4*t^3.568 + 10*t^4.784 + 6*t^4.865 - 4*t^6. - t^4.216/y - t^4.216*y	detail
126	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$	0.7546	0.9174	0.8226	[M:[0.7904, 0.7904, 0.7904], q:[0.6048, 0.6048], qb:[0.6048, 0.6048], phi:[0.3952]]	4*t^2.371 + 3*t^3.629 + 10*t^4.743 + 10*t^4.814 - 4*t^6. - t^4.186/y - t^4.186*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
52	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$	0.7232	0.8641	0.8369	[M:[0.837], q:[0.5815, 0.5815], qb:[0.5815, 0.5815], phi:[0.4185]]	2*t^2.511 + 5*t^3.489 + 10*t^4.745 + 3*t^5.022 - 6*t^6. - t^4.255/y - t^4.255*y	detail