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
3372	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$	0.6831	0.8497	0.8039	[M:[0.669, 1.1103, 0.9644, 0.7402, 1.0356, 1.0391], q:[0.7776, 0.5535], qb:[0.4822, 0.4075], phi:[0.4448]]	[M:[[36], [-12], [22], [-8], [-22], [32]], q:[[-3], [-33]], qb:[[11], [1]], phi:[[6]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$	${}$	-1	t^2.007 + t^2.221 + t^2.669 + t^3.107 + t^3.117 + t^3.331 + t^3.555 + t^3.779 + t^4.003 + t^4.014 + t^4.217 + 2*t^4.228 + 2*t^4.441 + t^4.655 + t^4.676 + t^4.89 + t^5.114 + t^5.124 + t^5.328 + 3*t^5.338 + t^5.552 + t^5.776 + t^5.786 - t^6. + t^6.01 + t^6.021 + 2*t^6.224 + 3*t^6.234 + t^6.438 + 4*t^6.448 + 3*t^6.662 + t^6.672 + t^6.683 + t^6.876 + t^6.886 + 2*t^6.897 + t^7.11 + t^7.121 + t^7.131 + t^7.324 + 2*t^7.334 + 4*t^7.345 + t^7.548 + 4*t^7.559 + t^7.762 + t^7.772 + t^7.783 + t^7.793 + t^7.997 + t^8.007 + t^8.017 + t^8.027 - 2*t^8.221 + 2*t^8.231 + 3*t^8.241 + 2*t^8.445 + 6*t^8.455 + t^8.659 + 3*t^8.669 + t^8.679 + t^8.69 + t^8.872 + 3*t^8.883 + 2*t^8.903 - t^4.334/y - t^6.341/y - t^6.555/y + t^7.217/y + t^7.228/y - t^7.452/y + t^7.676/y + t^7.89/y + (2*t^8.114)/y + t^8.124/y + (2*t^8.328)/y + (2*t^8.338)/y - t^8.348/y + t^8.552/y + t^8.776/y + (2*t^8.786)/y - t^4.334*y - t^6.341*y - t^6.555*y + t^7.217*y + t^7.228*y - t^7.452*y + t^7.676*y + t^7.89*y + 2*t^8.114*y + t^8.124*y + 2*t^8.328*y + 2*t^8.338*y - t^8.348*y + t^8.552*y + t^8.776*y + 2*t^8.786*y	g1^36*t^2.007 + t^2.221/g1^8 + g1^12*t^2.669 + t^3.107/g1^22 + g1^32*t^3.117 + t^3.331/g1^12 + t^3.555/g1^2 + g1^8*t^3.779 + g1^18*t^4.003 + g1^72*t^4.014 + t^4.217/g1^26 + 2*g1^28*t^4.228 + (2*t^4.441)/g1^16 + t^4.655/g1^60 + g1^48*t^4.676 + g1^4*t^4.89 + g1^14*t^5.114 + g1^68*t^5.124 + t^5.328/g1^30 + 3*g1^24*t^5.338 + t^5.552/g1^20 + t^5.776/g1^10 + g1^44*t^5.786 - t^6. + g1^54*t^6.01 + g1^108*t^6.021 + 2*g1^10*t^6.224 + 3*g1^64*t^6.234 + t^6.438/g1^34 + 4*g1^20*t^6.448 + (3*t^6.662)/g1^24 + g1^30*t^6.672 + g1^84*t^6.683 + t^6.876/g1^68 + t^6.886/g1^14 + 2*g1^40*t^6.897 + t^7.11/g1^4 + g1^50*t^7.121 + g1^104*t^7.131 + t^7.324/g1^48 + 2*g1^6*t^7.334 + 4*g1^60*t^7.345 + t^7.548/g1^38 + 4*g1^16*t^7.559 + t^7.762/g1^82 + t^7.772/g1^28 + g1^26*t^7.783 + g1^80*t^7.793 + t^7.997/g1^18 + g1^36*t^8.007 + g1^90*t^8.017 + g1^144*t^8.027 - (2*t^8.221)/g1^8 + 2*g1^46*t^8.231 + 3*g1^100*t^8.241 + 2*g1^2*t^8.445 + 6*g1^56*t^8.455 + t^8.659/g1^42 + 3*g1^12*t^8.669 + g1^66*t^8.679 + g1^120*t^8.69 + t^8.872/g1^86 + (3*t^8.883)/g1^32 + 2*g1^76*t^8.903 - (g1^6*t^4.334)/y - (g1^42*t^6.341)/y - t^6.555/(g1^2*y) + t^7.217/(g1^26*y) + (g1^28*t^7.228)/y - (g1^38*t^7.452)/y + (g1^48*t^7.676)/y + (g1^4*t^7.89)/y + (2*g1^14*t^8.114)/y + (g1^68*t^8.124)/y + (2*t^8.328)/(g1^30*y) + (2*g1^24*t^8.338)/y - (g1^78*t^8.348)/y + t^8.552/(g1^20*y) + t^8.776/(g1^10*y) + (2*g1^44*t^8.786)/y - g1^6*t^4.334*y - g1^42*t^6.341*y - (t^6.555*y)/g1^2 + (t^7.217*y)/g1^26 + g1^28*t^7.228*y - g1^38*t^7.452*y + g1^48*t^7.676*y + g1^4*t^7.89*y + 2*g1^14*t^8.114*y + g1^68*t^8.124*y + (2*t^8.328*y)/g1^30 + 2*g1^24*t^8.338*y - g1^78*t^8.348*y + (t^8.552*y)/g1^20 + (t^8.776*y)/g1^10 + 2*g1^44*t^8.786*y

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
3844	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.7026	0.8853	0.7936	[M:[0.673, 1.109, 0.9668, 0.7393, 1.0332, 1.0426, 0.7393], q:[0.7773, 0.5498], qb:[0.4834, 0.4076], phi:[0.4455]]	t^2.019 + 2*t^2.218 + t^2.673 + t^3.1 + t^3.128 + t^3.327 + t^3.555 + t^4.009 + t^4.038 + t^4.209 + 3*t^4.237 + 4*t^4.436 + t^4.635 + t^4.692 + 2*t^4.891 + t^5.118 + t^5.147 + 2*t^5.318 + 4*t^5.346 + 2*t^5.545 + 2*t^5.773 - 2*t^6. - t^4.336/y - t^4.336*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
2829	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$	0.6884	0.8584	0.802	[M:[0.7083, 1.0972, 0.9884, 0.7315, 1.0116], q:[0.7743, 0.5174], qb:[0.4942, 0.4086], phi:[0.4514]]	t^2.125 + t^2.194 + t^2.708 + t^2.778 + t^3.035 + t^3.292 + t^3.549 + t^3.806 + t^4.062 + t^4.132 + t^4.25 + 2*t^4.319 + 2*t^4.389 + t^4.459 + t^4.833 + 2*t^4.903 + t^4.972 + t^5.16 + t^5.229 + 2*t^5.417 + 2*t^5.486 + t^5.556 + t^5.743 + t^5.813 - t^6. - t^4.354/y - t^4.354*y	detail