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
57973	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$	1.3453	1.5181	0.8861	[X:[1.4115], M:[0.9173, 0.8483], q:[0.4276, 0.7563], qb:[0.6552, 0.3954], phi:[0.2943]]	[X:[[0, 4]], M:[[3, -9], [-3, -3]], q:[[-2, 8], [1, 3]], qb:[[-1, 1], [2, 0]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$	${}\phi_{1}^{4}q_{1}\tilde{q}_{2}$	-1	t^2.47 + t^2.54 + t^2.65 + t^2.75 + t^3.35 + t^4.13 + 3*t^4.23 + t^4.34 + t^4.94 + t^5.01 + t^5.09 + 2*t^5.12 + t^5.19 + 2*t^5.22 + 2*t^5.3 + t^5.4 + t^5.5 + t^5.72 + t^5.82 - t^6. + t^6.1 + t^6.21 + t^6.5 + 2*t^6.6 + t^6.68 + 5*t^6.7 + 2*t^6.78 + t^6.81 + 2*t^6.88 + 2*t^6.99 + t^7.09 + t^7.41 + 2*t^7.48 + t^7.56 + 4*t^7.59 + t^7.63 + t^7.66 + 3*t^7.69 + t^7.74 + 2*t^7.77 + 2*t^7.84 + 2*t^7.95 + t^7.97 + 2*t^8.05 + t^8.15 + t^8.19 + 2*t^8.26 + t^8.29 + t^8.37 + 5*t^8.47 - 2*t^8.54 + 4*t^8.57 + 2*t^8.68 - 3*t^8.75 + t^8.86 + t^8.96 + t^8.97 + t^8.65/y^2 - t^3.88/y - t^4.77/y - t^6.35/y - t^6.43/y - t^6.53/y - t^6.63/y - t^7.23/y - t^7.31/y - t^7.41/y - t^7.52/y + t^8.01/y - t^8.12/y + t^8.19/y + t^8.22/y + t^8.3/y + t^8.4/y - t^8.97/y - t^3.88*y - t^4.77*y - t^6.35*y - t^6.43*y - t^6.53*y - t^6.63*y - t^7.23*y - t^7.31*y - t^7.41*y - t^7.52*y + t^8.01*y - t^8.12*y + t^8.19*y + t^8.22*y + t^8.3*y + t^8.4*y - t^8.97*y + t^8.65*y^2	g2^8*t^2.47 + t^2.54/(g1^3*g2^3) + t^2.65/g2^6 + (g1^3*t^2.75)/g2^9 + g2^6*t^3.35 + (g2^7*t^4.13)/g1^3 + 3*g2^4*t^4.23 + g1^3*g2*t^4.34 + g2^16*t^4.94 + (g2^5*t^5.01)/g1^3 + t^5.09/(g1^6*g2^6) + 2*g2^2*t^5.12 + t^5.19/(g1^3*g2^9) + (2*g1^3*t^5.22)/g2 + (2*t^5.3)/g2^12 + (g1^3*t^5.4)/g2^15 + (g1^6*t^5.5)/g2^18 + (g2^17*t^5.72)/g1^3 + g2^14*t^5.82 - t^6. + (g1^3*t^6.1)/g2^3 + (g1^6*t^6.21)/g2^6 + (g2^18*t^6.5)/g1^6 + (2*g2^15*t^6.6)/g1^3 + (g2^4*t^6.68)/g1^6 + 5*g2^12*t^6.7 + (2*g2*t^6.78)/g1^3 + g1^3*g2^9*t^6.81 + (2*t^6.88)/g2^2 + (2*g1^3*t^6.99)/g2^5 + (g1^6*t^7.09)/g2^8 + g2^24*t^7.41 + (2*g2^13*t^7.48)/g1^3 + (g2^2*t^7.56)/g1^6 + 4*g2^10*t^7.59 + t^7.63/(g1^9*g2^9) + t^7.66/(g1^3*g2) + 3*g1^3*g2^7*t^7.69 + t^7.74/(g1^6*g2^12) + (2*t^7.77)/g2^4 + (2*t^7.84)/(g1^3*g2^15) + (2*t^7.95)/g2^18 + (g1^6*t^7.97)/g2^10 + (2*g1^3*t^8.05)/g2^21 + (g1^6*t^8.15)/g2^24 + (g2^25*t^8.19)/g1^3 + (g1^9*t^8.26)/g2^27 + (g2^14*t^8.26)/g1^6 + g2^22*t^8.29 + (g2^11*t^8.37)/g1^3 + 5*g2^8*t^8.47 - (2*t^8.54)/(g1^3*g2^3) + 4*g1^3*g2^5*t^8.57 + 2*g1^6*g2^2*t^8.68 - (3*g1^3*t^8.75)/g2^9 + (g1^6*t^8.86)/g2^12 + (g1^9*t^8.96)/g2^15 + (g2^26*t^8.97)/g1^6 + t^8.65/(g2^6*y^2) - t^3.88/(g2^2*y) - t^4.77/(g2^4*y) - (g2^6*t^6.35)/y - t^6.43/(g1^3*g2^5*y) - t^6.53/(g2^8*y) - (g1^3*t^6.63)/(g2^11*y) - (g2^4*t^7.23)/y - t^7.31/(g1^3*g2^7*y) - t^7.41/(g2^10*y) - (g1^3*t^7.52)/(g2^13*y) + (g2^5*t^8.01)/(g1^3*y) - (g2^2*t^8.12)/y + t^8.19/(g1^3*g2^9*y) + (g1^3*t^8.22)/(g2*y) + t^8.3/(g2^12*y) + (g1^3*t^8.4)/(g2^15*y) - t^8.97/(g1^6*g2^8*y) - (t^3.88*y)/g2^2 - (t^4.77*y)/g2^4 - g2^6*t^6.35*y - (t^6.43*y)/(g1^3*g2^5) - (t^6.53*y)/g2^8 - (g1^3*t^6.63*y)/g2^11 - g2^4*t^7.23*y - (t^7.31*y)/(g1^3*g2^7) - (t^7.41*y)/g2^10 - (g1^3*t^7.52*y)/g2^13 + (g2^5*t^8.01*y)/g1^3 - g2^2*t^8.12*y + (t^8.19*y)/(g1^3*g2^9) + (g1^3*t^8.22*y)/g2 + (t^8.3*y)/g2^12 + (g1^3*t^8.4*y)/g2^15 - (t^8.97*y)/(g1^6*g2^8) + (t^8.65*y^2)/g2^6

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
61026	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$	1.3235	1.5061	0.8787	[X:[1.3593], M:[1.0389, 0.8832], q:[0.3204, 0.7186], qb:[0.6407, 0.3982], phi:[0.3204]]	t^2.16 + t^2.65 + t^2.88 + 2*t^3.12 + t^3.84 + 3*t^4.08 + 2*t^4.31 + t^4.81 + 3*t^5.04 + 3*t^5.27 + t^5.3 + t^5.53 + 3*t^5.77 + 2*t^6. - t^3.96/y - t^4.92/y - t^3.96*y - t^4.92*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
57307	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	1.4518	1.6306	0.8903	[X:[1.3795], M:[0.9159, 0.9457], q:[0.5105, 0.5119], qb:[0.5736, 0.5425], phi:[0.3103]]	t^2.748 + t^2.792 + t^2.837 + t^3.159 + t^3.256 + t^4.09 + t^4.094 + t^4.138 + t^4.183 + t^4.187 + t^5.02 + t^5.025 + t^5.114 + t^5.118 + t^5.495 + t^5.529 + t^5.533 + t^5.54 + 2*t^5.585 + t^5.629 + t^5.674 + t^5.906 + t^5.951 - 3*t^6. - t^3.931/y - t^4.862/y - t^3.931*y - t^4.862*y	detail