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
45986	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$	0.669	0.8353	0.8009	[M:[0.6994, 0.6891, 0.6994], q:[0.4806, 0.82], qb:[0.8303, 0.4703], phi:[0.3497]]	[M:[[-2, -2], [-5, -1], [-2, -2]], q:[[3, 1], [-1, 1]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$	${}M_{3}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	-1	t^2.067 + 3*t^2.098 + t^2.853 + 2*t^3.871 + t^3.902 + t^3.933 + t^4.134 + 3*t^4.165 + 6*t^4.196 + t^4.92 + 4*t^4.951 + t^5.705 + 2*t^5.938 + 5*t^5.969 - t^6. + t^6.031 + t^6.202 + 3*t^6.233 + 6*t^6.264 + 10*t^6.295 + 2*t^6.723 + t^6.754 + t^6.785 + t^6.987 + 2*t^7.018 + 5*t^7.049 - 2*t^7.08 + 3*t^7.742 + t^7.773 + 2*t^7.804 - t^7.835 + t^7.866 + 2*t^8.005 + 5*t^8.036 + 5*t^8.067 - 7*t^8.098 + t^8.269 + 3*t^8.3 + 6*t^8.331 + 10*t^8.362 + 15*t^8.393 + t^8.558 + 2*t^8.791 + 5*t^8.822 - 4*t^8.853 - t^4.049/y - t^6.116/y - (3*t^6.147)/y + (3*t^7.165)/y + (3*t^7.196)/y + t^7.92/y + (6*t^7.951)/y + t^7.982/y - t^8.184/y - (3*t^8.215)/y - (6*t^8.246)/y + (2*t^8.938)/y + (7*t^8.969)/y - t^4.049*y - t^6.116*y - 3*t^6.147*y + 3*t^7.165*y + 3*t^7.196*y + t^7.92*y + 6*t^7.951*y + t^7.982*y - t^8.184*y - 3*t^8.215*y - 6*t^8.246*y + 2*t^8.938*y + 7*t^8.969*y	t^2.067/(g1^5*g2) + (3*t^2.098)/(g1^2*g2^2) + g1^3*g2^3*t^2.853 + (2*g2^3*t^3.871)/g1 + g1^2*g2^2*t^3.902 + g1^5*g2*t^3.933 + t^4.134/(g1^10*g2^2) + (3*t^4.165)/(g1^7*g2^3) + (6*t^4.196)/(g1^4*g2^4) + (g2^2*t^4.92)/g1^2 + 4*g1*g2*t^4.951 + g1^6*g2^6*t^5.705 + (2*g2^2*t^5.938)/g1^6 + (5*g2*t^5.969)/g1^3 - t^6. + (g1^3*t^6.031)/g2 + t^6.202/(g1^15*g2^3) + (3*t^6.233)/(g1^12*g2^4) + (6*t^6.264)/(g1^9*g2^5) + (10*t^6.295)/(g1^6*g2^6) + 2*g1^2*g2^6*t^6.723 + g1^5*g2^5*t^6.754 + g1^8*g2^4*t^6.785 + (g2*t^6.987)/g1^7 + (2*t^7.018)/g1^4 + (5*t^7.049)/(g1*g2) - (2*g1^2*t^7.08)/g2^2 + (3*g2^6*t^7.742)/g1^2 + g1*g2^5*t^7.773 + 2*g1^4*g2^4*t^7.804 - g1^7*g2^3*t^7.835 + g1^10*g2^2*t^7.866 + (2*g2*t^8.005)/g1^11 + (5*t^8.036)/g1^8 + (5*t^8.067)/(g1^5*g2) - (7*t^8.098)/(g1^2*g2^2) + t^8.269/(g1^20*g2^4) + (3*t^8.3)/(g1^17*g2^5) + (6*t^8.331)/(g1^14*g2^6) + (10*t^8.362)/(g1^11*g2^7) + (15*t^8.393)/(g1^8*g2^8) + g1^9*g2^9*t^8.558 + (2*g2^5*t^8.791)/g1^3 + 5*g2^4*t^8.822 - 4*g1^3*g2^3*t^8.853 - t^4.049/(g1*g2*y) - t^6.116/(g1^6*g2^2*y) - (3*t^6.147)/(g1^3*g2^3*y) + (3*t^7.165)/(g1^7*g2^3*y) + (3*t^7.196)/(g1^4*g2^4*y) + (g2^2*t^7.92)/(g1^2*y) + (6*g1*g2*t^7.951)/y + (g1^4*t^7.982)/y - t^8.184/(g1^11*g2^3*y) - (3*t^8.215)/(g1^8*g2^4*y) - (6*t^8.246)/(g1^5*g2^5*y) + (2*g2^2*t^8.938)/(g1^6*y) + (7*g2*t^8.969)/(g1^3*y) - (t^4.049*y)/(g1*g2) - (t^6.116*y)/(g1^6*g2^2) - (3*t^6.147*y)/(g1^3*g2^3) + (3*t^7.165*y)/(g1^7*g2^3) + (3*t^7.196*y)/(g1^4*g2^4) + (g2^2*t^7.92*y)/g1^2 + 6*g1*g2*t^7.951*y + g1^4*t^7.982*y - (t^8.184*y)/(g1^11*g2^3) - (3*t^8.215*y)/(g1^8*g2^4) - (6*t^8.246*y)/(g1^5*g2^5) + (2*g2^2*t^8.938*y)/g1^6 + (7*g2*t^8.969*y)/g1^3

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
46291	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}^{2}$	0.6052	0.7542	0.8024	[M:[0.7685, 1.0, 0.7685], q:[0.3079, 0.9236], qb:[0.6921, 0.5393], phi:[0.3843]]	3*t^2.306 + t^2.542 + 2*t^3. + t^3.694 + 2*t^4.389 + 6*t^4.611 + 4*t^4.847 + t^5.083 + 4*t^5.306 + 2*t^5.542 + t^6. - t^4.153/y - t^4.153*y	detail
46336	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{2}$	0.6895	0.8749	0.7881	[M:[0.6958, 0.6865, 0.6958, 0.6958], q:[0.4828, 0.8214], qb:[0.8307, 0.4736], phi:[0.3479]]	t^2.06 + 4*t^2.087 + t^2.869 + 2*t^3.885 + t^3.94 + t^4.119 + 4*t^4.147 + 10*t^4.175 + t^4.929 + 5*t^4.956 + t^5.738 + 2*t^5.945 + 6*t^5.972 - 4*t^6. - t^4.044/y - t^4.044*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
45893	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$	0.6485	0.7962	0.8145	[M:[0.7041, 0.6924], q:[0.4778, 0.8181], qb:[0.8298, 0.4661], phi:[0.352]]	t^2.077 + 2*t^2.112 + t^2.832 + 2*t^3.853 + 2*t^3.888 + t^3.923 + t^4.154 + 2*t^4.189 + 3*t^4.224 + t^4.909 + 3*t^4.944 + t^5.664 + 2*t^5.93 + 4*t^5.965 - t^4.056/y - t^4.056*y	detail