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
46244	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}\phi_{1}^{2}$	0.7051	0.8546	0.8251	[M:[1.0, 0.9226, 1.0, 0.9324, 1.0725], q:[0.4662, 0.5338], qb:[0.6112, 0.5338], phi:[0.4638]]	[M:[[-4, 0, 4], [4, -4, 4], [4, 0, -4], [-8, 0, -8], [2, 2, 2]], q:[[-4, 0, -4], [8, 0, 0]], qb:[[0, 4, 0], [0, 0, 8]], phi:[[-1, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{5}$	${}M_{1}^{2}$, ${ }M_{3}^{2}$	-3	t^2.768 + t^2.797 + 2*t^3. + t^3.217 + 2*t^3.435 + t^4.189 + 2*t^4.391 + 3*t^4.594 + t^4.623 + 2*t^4.826 + t^5.058 + t^5.536 + t^5.594 + t^5.985 - 3*t^6. + t^6.015 + 2*t^6.217 + 3*t^6.435 + 2*t^6.652 + 3*t^6.87 + t^6.986 + 2*t^7.189 + 3*t^7.362 + 2*t^7.391 + t^7.421 + 4*t^7.594 + 2*t^7.623 + 3*t^7.826 + t^7.856 + 4*t^8.029 + 2*t^8.058 + 3*t^8.261 + t^8.304 + t^8.333 + t^8.377 + t^8.392 + 2*t^8.493 - 2*t^8.565 + 2*t^8.58 + t^8.753 - 5*t^8.768 + 3*t^8.783 - 4*t^8.797 + 2*t^8.812 + 4*t^8.985 - t^4.391/y - t^7.159/y - t^7.189/y + t^7.594/y + t^7.623/y + t^8.565/y + (2*t^8.768)/y + (2*t^8.797)/y + t^8.985/y - t^4.391*y - t^7.159*y - t^7.189*y + t^7.594*y + t^7.623*y + t^8.565*y + 2*t^8.768*y + 2*t^8.797*y + t^8.985*y	(g1^4*g3^4*t^2.768)/g2^4 + t^2.797/(g1^8*g3^8) + (g1^4*t^3.)/g3^4 + (g3^4*t^3.)/g1^4 + g1^2*g2^2*g3^2*t^3.217 + g1^8*g2^4*t^3.435 + g2^4*g3^8*t^3.435 + t^4.189/(g1^9*g2*g3^9) + (g1^3*t^4.391)/(g2*g3^5) + (g3^3*t^4.391)/(g1^5*g2) + (g1^15*t^4.594)/(g2*g3) + (g1^7*g3^7*t^4.594)/g2 + (g3^15*t^4.594)/(g1*g2) + (g2^3*t^4.623)/(g1^5*g3^5) + (g1^7*g2^3*t^4.826)/g3 + (g2^3*g3^7*t^4.826)/g1 + (g2^7*t^5.058)/(g1*g3) + (g1^8*g3^8*t^5.536)/g2^8 + t^5.594/(g1^16*g3^16) + (g1^6*g3^6*t^5.985)/g2^2 - 3*t^6. + (g2^2*t^6.015)/(g1^6*g3^6) + (g1^6*g2^2*t^6.217)/g3^2 + (g2^2*g3^6*t^6.217)/g1^2 + (g1^12*g2^4*t^6.435)/g3^4 + g1^4*g2^4*g3^4*t^6.435 + (g2^4*g3^12*t^6.435)/g1^4 + g1^10*g2^6*g3^2*t^6.652 + g1^2*g2^6*g3^10*t^6.652 + g1^16*g2^8*t^6.87 + g1^8*g2^8*g3^8*t^6.87 + g2^8*g3^16*t^6.87 + t^6.986/(g1^17*g2*g3^17) + t^7.189/(g1^5*g2*g3^13) + t^7.189/(g1^13*g2*g3^5) + (g1^19*g3^3*t^7.362)/g2^5 + (g1^11*g3^11*t^7.362)/g2^5 + (g1^3*g3^19*t^7.362)/g2^5 + (g1^7*t^7.391)/(g2*g3^9) + (g3^7*t^7.391)/(g1^9*g2) + (g2^3*t^7.421)/(g1^13*g3^13) + (g1^19*t^7.594)/(g2*g3^5) + (g1^11*g3^3*t^7.594)/g2 + (g1^3*g3^11*t^7.594)/g2 + (g3^19*t^7.594)/(g1^5*g2) + (g2^3*t^7.623)/(g1*g3^9) + (g2^3*t^7.623)/(g1^9*g3) + (g1^11*g2^3*t^7.826)/g3^5 + g1^3*g2^3*g3^3*t^7.826 + (g2^3*g3^11*t^7.826)/g1^5 + (g2^7*t^7.856)/(g1^9*g3^9) + (g1^23*g2^3*t^8.029)/g3 + g1^15*g2^3*g3^7*t^8.029 + g1^7*g2^3*g3^15*t^8.029 + (g2^3*g3^23*t^8.029)/g1 + (g1^3*g2^7*t^8.058)/g3^5 + (g2^7*g3^3*t^8.058)/g1^5 + (g1^15*g2^7*t^8.261)/g3 + g1^7*g2^7*g3^7*t^8.261 + (g2^7*g3^15*t^8.261)/g1 + (g1^12*g3^12*t^8.304)/g2^12 + t^8.333/g2^8 + t^8.377/(g1^18*g2^2*g3^18) + t^8.392/(g1^24*g3^24) + (g1^7*g2^11*t^8.493)/g3 + (g2^11*g3^7*t^8.493)/g1 - t^8.565/(g1^8*g2^4) - t^8.565/(g2^4*g3^8) + t^8.58/(g1^6*g2^2*g3^14) + t^8.58/(g1^14*g2^2*g3^6) + (g1^10*g3^10*t^8.753)/g2^6 - (g1^12*t^8.768)/(g2^4*g3^4) - (3*g1^4*g3^4*t^8.768)/g2^4 - (g3^12*t^8.768)/(g1^4*g2^4) + (g1^6*t^8.783)/(g2^2*g3^10) + t^8.783/(g1^2*g2^2*g3^2) + (g3^6*t^8.783)/(g1^10*g2^2) - (4*t^8.797)/(g1^8*g3^8) + (2*g2^2*t^8.812)/(g1^14*g3^14) + (g1^18*t^8.985)/(g2^2*g3^6) + (g1^10*g3^2*t^8.985)/g2^2 + (g1^2*g3^10*t^8.985)/g2^2 + (g3^18*t^8.985)/(g1^6*g2^2) - t^4.391/(g1*g2*g3*y) - (g1^3*g3^3*t^7.159)/(g2^5*y) - t^7.189/(g1^9*g2*g3^9*y) + (g1^7*g3^7*t^7.594)/(g2*y) + (g2^3*t^7.623)/(g1^5*g3^5*y) + t^8.565/(g1^4*g2^4*g3^4*y) + (g1^8*t^8.768)/(g2^4*y) + (g3^8*t^8.768)/(g2^4*y) + t^8.797/(g1^4*g3^12*y) + t^8.797/(g1^12*g3^4*y) + (g1^6*g3^6*t^8.985)/(g2^2*y) - (t^4.391*y)/(g1*g2*g3) - (g1^3*g3^3*t^7.159*y)/g2^5 - (t^7.189*y)/(g1^9*g2*g3^9) + (g1^7*g3^7*t^7.594*y)/g2 + (g2^3*t^7.623*y)/(g1^5*g3^5) + (t^8.565*y)/(g1^4*g2^4*g3^4) + (g1^8*t^8.768*y)/g2^4 + (g3^8*t^8.768*y)/g2^4 + (t^8.797*y)/(g1^4*g3^12) + (t^8.797*y)/(g1^12*g3^4) + (g1^6*g3^6*t^8.985*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
46689	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$	0.6814	0.8225	0.8284	[M:[1.0, 0.742, 1.0, 0.9353, 1.1613], q:[0.4677, 0.5323], qb:[0.7903, 0.5323], phi:[0.4193]]	t^2.226 + t^2.806 + 2*t^3. + t^3.484 + 2*t^3.968 + t^4.064 + 2*t^4.258 + 4*t^4.452 + t^5.032 + 2*t^5.226 + t^5.612 + t^5.71 - 2*t^6. - t^4.258/y - t^4.258*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
46032	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$	0.7126	0.866	0.8228	[M:[1.0, 0.9022, 1.0, 0.9171], q:[0.4586, 0.5414], qb:[0.6393, 0.5414], phi:[0.4548]]	t^2.706 + t^2.729 + t^2.751 + 2*t^3. + 2*t^3.542 + t^4.116 + 2*t^4.364 + 3*t^4.613 + t^4.658 + 2*t^4.907 + t^5.2 + t^5.413 + t^5.435 + t^5.458 + t^5.48 + t^5.503 + 2*t^5.729 - 3*t^6. - t^4.364/y - t^4.364*y	detail