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
104	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$	0.4925	0.5698	0.8643	[X:[1.5254], M:[0.7119, 0.7119], q:[0.8813, 0.4067], qb:[0.8813, 0.8813], phi:[0.2373]]	[X:[[0, 4]], M:[[1, -7], [-1, -5]], q:[[0, 1], [0, 5]], qb:[[-1, 2], [1, 0]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$	${}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$	-2	2*t^2.136 + t^3.152 + t^3.864 + 3*t^4.272 + t^4.576 + 2*t^5.288 - 2*t^6. + t^6.305 + 4*t^6.407 - t^6.712 + t^7.017 + 3*t^7.424 + t^7.728 - 4*t^8.136 + 5*t^8.543 - 4*t^8.848 - (2*t^8.848)/y^2 - t^3.712/y - (2*t^5.848)/y + t^7.272/y + (2*t^7.576)/y - (3*t^7.983)/y + (2*t^8.288)/y - t^3.712*y - 2*t^5.848*y + t^7.272*y + 2*t^7.576*y - 3*t^7.983*y + 2*t^8.288*y - 2*t^8.848*y^2	(g1*t^2.136)/g2^7 + t^2.136/(g1*g2^5) + g2^8*t^3.152 + g2^6*t^3.864 + (g1^2*t^4.272)/g2^14 + t^4.272/g2^12 + t^4.272/(g1^2*g2^10) + g2^4*t^4.576 + g1*g2*t^5.288 + (g2^3*t^5.288)/g1 - 2*t^6. + g2^16*t^6.305 + (g1^3*t^6.407)/g2^21 + (g1*t^6.407)/g2^19 + t^6.407/(g1*g2^17) + t^6.407/(g1^3*g2^15) - t^6.712/g2^2 + g2^14*t^7.017 + (g1^2*t^7.424)/g2^6 + t^7.424/g2^4 + t^7.424/(g1^2*g2^2) + g2^12*t^7.728 - (2*g1*t^8.136)/g2^7 - (2*t^8.136)/(g1*g2^5) + (g1^4*t^8.543)/g2^28 + (g1^2*t^8.543)/g2^26 + t^8.543/g2^24 + t^8.543/(g1^2*g2^22) + t^8.543/(g1^4*g2^20) - (2*g1*t^8.848)/g2^9 - (2*t^8.848)/(g1*g2^7) - (g1*t^8.848)/(g2^9*y^2) - t^8.848/(g1*g2^7*y^2) - t^3.712/(g2^2*y) - (g1*t^5.848)/(g2^9*y) - t^5.848/(g1*g2^7*y) + t^7.272/(g2^12*y) + (g1*g2^3*t^7.576)/y + (g2^5*t^7.576)/(g1*y) - (g1^2*t^7.983)/(g2^16*y) - t^7.983/(g2^14*y) - t^7.983/(g1^2*g2^12*y) + (g1*g2*t^8.288)/y + (g2^3*t^8.288)/(g1*y) - (t^3.712*y)/g2^2 - (g1*t^5.848*y)/g2^9 - (t^5.848*y)/(g1*g2^7) + (t^7.272*y)/g2^12 + g1*g2^3*t^7.576*y + (g2^5*t^7.576*y)/g1 - (g1^2*t^7.983*y)/g2^16 - (t^7.983*y)/g2^14 - (t^7.983*y)/(g1^2*g2^12) + g1*g2*t^8.288*y + (g2^3*t^8.288*y)/g1 - (g1*t^8.848*y^2)/g2^9 - (t^8.848*y^2)/(g1*g2^7)

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
170	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}q_{1}q_{2}$	0.5129	0.6085	0.8428	[X:[1.5308], M:[0.7038, 0.7038, 0.7038], q:[0.8827, 0.4135], qb:[0.8827, 0.8827], phi:[0.2346]]	3*t^2.111 + t^3.185 + 6*t^4.223 + t^4.592 + 3*t^5.296 - 4*t^6. - t^3.704/y - (3*t^5.815)/y - t^3.704*y - 3*t^5.815*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
7	SU2adj1nf1	${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$	0.4925	0.5698	0.8643	[X:[1.5254], M:[0.7119, 0.7119], q:[0.5254], qb:[0.5254], phi:[0.2373]]	2*t^2.136 + t^3.152 + t^3.864 + 3*t^4.272 + t^4.576 + 2*t^5.288 - 2*t^6. - t^3.712/y - (2*t^5.848)/y - t^3.712*y - 2*t^5.848*y	detail

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
69	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$	0.6924	0.8273	0.837	[M:[0.8454, 0.8454], q:[0.8152, 0.6031], qb:[0.5515, 0.5515], phi:[0.3697]]	t^2.218 + 2*t^2.536 + t^3.309 + 2*t^4.1 + t^4.255 + 3*t^4.418 + t^4.436 + 2*t^4.573 + t^4.728 + 2*t^4.754 + 3*t^5.072 + t^5.527 - 5*t^6. - t^4.109/y - t^4.109*y	detail