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
46452	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$	0.6587	0.8471	0.7777	[M:[1.1557, 0.7022, 1.1422, 0.7978, 0.6887], q:[0.75, 0.3922], qb:[0.4057, 0.4522], phi:[0.5]]	[M:[[1, 0], [0, 1], [-1, -1], [0, -1], [-2, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$	${}$	-3	t^2.066 + t^2.107 + 2*t^2.393 + t^3. + 2*t^3.426 + 2*t^3.467 + t^3.853 + t^4.033 + t^4.074 + t^4.132 + t^4.173 + 2*t^4.213 + 2*t^4.46 + 2*t^4.5 + 3*t^4.787 + t^5.066 + t^5.107 + 2*t^5.393 + 2*t^5.493 + 4*t^5.533 + 2*t^5.574 + 3*t^5.82 + 3*t^5.86 + t^5.919 - 3*t^6. - t^6.04 + t^6.099 + t^6.14 + t^6.198 + t^6.239 + 2*t^6.246 + 2*t^6.279 + 2*t^6.32 + 2*t^6.426 + 2*t^6.467 + 2*t^6.526 + 2*t^6.566 + 2*t^6.607 + 6*t^6.853 + 5*t^6.893 + 2*t^6.934 - t^7.033 - t^7.074 + t^7.132 + t^7.173 + 4*t^7.18 + t^7.213 + 2*t^7.279 - 2*t^7.36 + 2*t^7.46 + 2*t^7.5 + 2*t^7.559 + 4*t^7.599 + 4*t^7.64 + 2*t^7.68 + t^7.706 + 2*t^7.787 + 4*t^7.886 + 5*t^7.926 + t^7.967 + t^7.985 - 2*t^8.066 - 5*t^8.107 - t^8.147 + t^8.165 + t^8.206 + 4*t^8.213 + t^8.246 + 4*t^8.254 + t^8.264 + t^8.287 + t^8.305 + 2*t^8.313 + 2*t^8.345 + 2*t^8.386 - 6*t^8.393 + 3*t^8.426 - 2*t^8.434 + 2*t^8.493 + 2*t^8.533 + 2*t^8.592 + 2*t^8.632 + 3*t^8.64 + 2*t^8.673 + 2*t^8.713 + 2*t^8.82 + 2*t^8.86 + 6*t^8.919 + 7*t^8.96 - t^4.5/y - t^6.566/y - t^6.607/y - t^6.893/y + t^7.033/y + t^7.074/y + t^7.173/y + (2*t^7.46)/y + (2*t^7.5)/y + t^7.787/y - t^7.926/y - t^7.967/y + t^8.066/y + (2*t^8.107)/y + (3*t^8.393)/y + t^8.434/y + (2*t^8.493)/y + (4*t^8.533)/y + (2*t^8.574)/y - t^8.632/y - t^8.673/y - t^8.713/y + (4*t^8.82)/y + (4*t^8.86)/y + t^8.919/y - t^4.5*y - t^6.566*y - t^6.607*y - t^6.893*y + t^7.033*y + t^7.074*y + t^7.173*y + 2*t^7.46*y + 2*t^7.5*y + t^7.787*y - t^7.926*y - t^7.967*y + t^8.066*y + 2*t^8.107*y + 3*t^8.393*y + t^8.434*y + 2*t^8.493*y + 4*t^8.533*y + 2*t^8.574*y - t^8.632*y - t^8.673*y - t^8.713*y + 4*t^8.82*y + 4*t^8.86*y + t^8.919*y	t^2.066/g1^2 + g2*t^2.107 + (2*t^2.393)/g2 + t^3. + (2*t^3.426)/(g1*g2) + 2*g1*t^3.467 + t^3.853/(g1^2*g2^2) + t^4.033/g1 + g1*g2*t^4.074 + t^4.132/g1^4 + (g2*t^4.173)/g1^2 + 2*g2^2*t^4.213 + (2*t^4.46)/(g1^2*g2) + 2*t^4.5 + (3*t^4.787)/g2^2 + t^5.066/g1^2 + g2*t^5.107 + (2*t^5.393)/g2 + (2*t^5.493)/(g1^3*g2) + (4*t^5.533)/g1 + 2*g1*g2*t^5.574 + (3*t^5.82)/(g1*g2^2) + (3*g1*t^5.86)/g2 + t^5.919/(g1^4*g2^2) - 3*t^6. - g1^2*g2*t^6.04 + t^6.099/g1^3 + (g2*t^6.14)/g1 + t^6.198/g1^6 + (g2*t^6.239)/g1^4 + (2*t^6.246)/(g1^2*g2^3) + (2*g2^2*t^6.279)/g1^2 + 2*g2^3*t^6.32 + (2*t^6.426)/(g1*g2) + 2*g1*t^6.467 + (2*t^6.526)/(g1^4*g2) + (2*t^6.566)/g1^2 + 2*g2*t^6.607 + (6*t^6.853)/(g1^2*g2^2) + (5*t^6.893)/g2 + 2*g1^2*t^6.934 - t^7.033/g1 - g1*g2*t^7.074 + t^7.132/g1^4 + (g2*t^7.173)/g1^2 + (4*t^7.18)/g2^3 + g2^2*t^7.213 + (2*t^7.279)/(g1^3*g2^3) - (2*g1*t^7.36)/g2 + (2*t^7.46)/(g1^2*g2) + 2*t^7.5 + (2*t^7.559)/(g1^5*g2) + (4*t^7.599)/g1^3 + (4*g2*t^7.64)/g1 + 2*g1*g2^2*t^7.68 + t^7.706/(g1^4*g2^4) + (2*t^7.787)/g2^2 + (4*t^7.886)/(g1^3*g2^2) + (5*t^7.926)/(g1*g2) + g1*t^7.967 + t^7.985/(g1^6*g2^2) - (2*t^8.066)/g1^2 - 5*g2*t^8.107 - g1^2*g2^2*t^8.147 + t^8.165/g1^5 + (g2*t^8.206)/g1^3 + (4*t^8.213)/(g1*g2^3) + (g2^2*t^8.246)/g1 + (4*g1*t^8.254)/g2^2 + t^8.264/g1^8 + g1*g2^3*t^8.287 + (g2*t^8.305)/g1^6 + (2*t^8.313)/(g1^4*g2^3) + (2*g2^2*t^8.345)/g1^4 + (2*g2^3*t^8.386)/g1^2 - (6*t^8.393)/g2 + 3*g2^4*t^8.426 - 2*g1^2*t^8.434 + (2*t^8.493)/(g1^3*g2) + (2*t^8.533)/g1 + (2*t^8.592)/(g1^6*g2) + (2*t^8.632)/g1^4 + (3*t^8.64)/(g1^2*g2^4) + (2*g2*t^8.673)/g1^2 + 2*g2^2*t^8.713 + (2*t^8.82)/(g1*g2^2) + (2*g1*t^8.86)/g2 + (6*t^8.919)/(g1^4*g2^2) + (7*t^8.96)/(g1^2*g2) - t^4.5/y - t^6.566/(g1^2*y) - (g2*t^6.607)/y - t^6.893/(g2*y) + t^7.033/(g1*y) + (g1*g2*t^7.074)/y + (g2*t^7.173)/(g1^2*y) + (2*t^7.46)/(g1^2*g2*y) + (2*t^7.5)/y + t^7.787/(g2^2*y) - t^7.926/(g1*g2*y) - (g1*t^7.967)/y + t^8.066/(g1^2*y) + (2*g2*t^8.107)/y + (3*t^8.393)/(g2*y) + (g1^2*t^8.434)/y + (2*t^8.493)/(g1^3*g2*y) + (4*t^8.533)/(g1*y) + (2*g1*g2*t^8.574)/y - t^8.632/(g1^4*y) - (g2*t^8.673)/(g1^2*y) - (g2^2*t^8.713)/y + (4*t^8.82)/(g1*g2^2*y) + (4*g1*t^8.86)/(g2*y) + t^8.919/(g1^4*g2^2*y) - t^4.5*y - (t^6.566*y)/g1^2 - g2*t^6.607*y - (t^6.893*y)/g2 + (t^7.033*y)/g1 + g1*g2*t^7.074*y + (g2*t^7.173*y)/g1^2 + (2*t^7.46*y)/(g1^2*g2) + 2*t^7.5*y + (t^7.787*y)/g2^2 - (t^7.926*y)/(g1*g2) - g1*t^7.967*y + (t^8.066*y)/g1^2 + 2*g2*t^8.107*y + (3*t^8.393*y)/g2 + g1^2*t^8.434*y + (2*t^8.493*y)/(g1^3*g2) + (4*t^8.533*y)/g1 + 2*g1*g2*t^8.574*y - (t^8.632*y)/g1^4 - (g2*t^8.673*y)/g1^2 - g2^2*t^8.713*y + (4*t^8.82*y)/(g1*g2^2) + (4*g1*t^8.86*y)/g2 + (t^8.919*y)/(g1^4*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
46997	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{5}$	0.6502	0.8314	0.782	[M:[1.0997, 0.7008, 1.1994, 0.7992, 0.8006], q:[0.75, 0.4494], qb:[0.3497, 0.4508], phi:[0.5]]	t^2.103 + 2*t^2.397 + t^2.402 + t^3. + 2*t^3.299 + 2*t^3.598 + t^3.902 + t^4.197 + t^4.201 + 2*t^4.205 + 2*t^4.5 + t^4.504 + 3*t^4.795 + 2*t^4.799 + t^4.803 + t^5.103 + 2*t^5.397 + 3*t^5.402 + 3*t^5.697 + 3*t^5.701 + 3*t^5.996 - t^6. - t^4.5/y - t^4.5*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
46177	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6381	0.8072	0.7905	[M:[1.1472, 0.7056, 1.1472, 0.7944], q:[0.75, 0.3972], qb:[0.3972, 0.4556], phi:[0.5]]	t^2.117 + 2*t^2.383 + t^3. + 4*t^3.442 + 2*t^3.883 + 2*t^4.058 + 2*t^4.233 + 2*t^4.5 + 3*t^4.767 + t^5.117 + 2*t^5.383 + 4*t^5.558 + 6*t^5.825 - 3*t^6. - t^4.5/y - t^4.5*y	detail