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
58369	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$	1.3361	1.6	0.8351	[X:[], M:[0.6887, 1.0887], q:[0.5982, 0.4035], qb:[0.3131, 0.2852], phi:[0.4]]	[X:[], M:[[-2, -1], [-2, -1]], q:[[1, 1], [-2, -2]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{3}$	${2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$	2	2*t^2.07 + t^2.15 + t^2.4 + t^2.65 + 2*t^3.27 + t^3.35 + t^3.6 + 2*t^3.85 + t^3.93 + 3*t^4.13 + 2*t^4.22 + t^4.3 + 3*t^4.47 + 2*t^4.55 + 2*t^4.72 + 2*t^4.8 + 3*t^5.05 + 2*t^5.13 + t^5.3 + 4*t^5.33 + 4*t^5.42 + t^5.5 + 4*t^5.67 + 2*t^5.75 + 5*t^5.92 + 2*t^6. + t^6.17 + 4*t^6.2 + 4*t^6.25 + 3*t^6.28 + 2*t^6.33 + 2*t^6.37 + t^6.42 + t^6.45 + 2*t^6.5 + 8*t^6.53 - t^6.58 + 7*t^6.62 + 3*t^6.7 + 3*t^6.78 + 6*t^6.87 + 3*t^6.95 + 9*t^7.12 + 8*t^7.2 + t^7.23 + t^7.28 + 2*t^7.37 + 6*t^7.4 + 4*t^7.45 + 7*t^7.48 + t^7.53 + 4*t^7.57 + t^7.65 + 5*t^7.7 + 9*t^7.73 + 9*t^7.82 + 3*t^7.9 + t^7.95 + 8*t^7.98 + 5*t^8.07 + 2*t^8.23 + 5*t^8.26 + 13*t^8.32 + 4*t^8.35 + 9*t^8.4 + 3*t^8.43 + 3*t^8.48 + 2*t^8.52 + 6*t^8.57 + 14*t^8.6 + 14*t^8.68 - t^8.73 + 8*t^8.77 + t^8.82 + 7*t^8.85 + 6*t^8.9 + 14*t^8.93 + 2*t^8.98 - t^4.2/y - t^5.4/y - (2*t^6.27)/y - t^6.35/y - t^6.6/y - t^6.85/y + t^7.13/y + (2*t^7.22)/y - t^7.47/y + (2*t^7.72)/y + t^8.13/y + t^8.33/y + (2*t^8.42)/y + (4*t^8.92)/y - t^4.2*y - t^5.4*y - 2*t^6.27*y - t^6.35*y - t^6.6*y - t^6.85*y + t^7.13*y + 2*t^7.22*y - t^7.47*y + 2*t^7.72*y + t^8.13*y + t^8.33*y + 2*t^8.42*y + 4*t^8.92*y	(2*t^2.07)/(g1^2*g2) + t^2.15/(g1*g2^2) + t^2.4 + g1*g2^2*t^2.65 + (2*t^3.27)/(g1^2*g2) + t^3.35/(g1*g2^2) + t^3.6 + 2*g1*g2^2*t^3.85 + g1^2*g2*t^3.93 + (3*t^4.13)/(g1^4*g2^2) + (2*t^4.22)/(g1^3*g2^3) + t^4.3/(g1^2*g2^4) + (3*t^4.47)/(g1^2*g2) + (2*t^4.55)/(g1*g2^2) + (2*g2*t^4.72)/g1 + 2*t^4.8 + 3*g1*g2^2*t^5.05 + 2*g1^2*g2*t^5.13 + g1^2*g2^4*t^5.3 + (4*t^5.33)/(g1^4*g2^2) + (4*t^5.42)/(g1^3*g2^3) + t^5.5/(g1^2*g2^4) + (4*t^5.67)/(g1^2*g2) + (2*t^5.75)/(g1*g2^2) + (5*g2*t^5.92)/g1 + 2*t^6. + g2^3*t^6.17 + (4*t^6.2)/(g1^6*g2^3) + 4*g1*g2^2*t^6.25 + (3*t^6.28)/(g1^5*g2^4) + 2*g1^2*g2*t^6.33 + (2*t^6.37)/(g1^4*g2^5) + g1^3*t^6.42 + t^6.45/(g1^3*g2^6) + 2*g1^2*g2^4*t^6.5 + (8*t^6.53)/(g1^4*g2^2) - g1^3*g2^3*t^6.58 + (7*t^6.62)/(g1^3*g2^3) + (3*t^6.7)/(g1^2*g2^4) + (3*t^6.78)/g1^3 + (6*t^6.87)/(g1^2*g2) + (3*t^6.95)/(g1*g2^2) + (9*g2*t^7.12)/g1 + 8*t^7.2 + t^7.23/(g1^6*g2^6) + (g1*t^7.28)/g2 + 2*g2^3*t^7.37 + (6*t^7.4)/(g1^6*g2^3) + 4*g1*g2^2*t^7.45 + (7*t^7.48)/(g1^5*g2^4) + g1^2*g2*t^7.53 + (4*t^7.57)/(g1^4*g2^5) + t^7.65/(g1^3*g2^6) + 5*g1^2*g2^4*t^7.7 + (9*t^7.73)/(g1^4*g2^2) + (9*t^7.82)/(g1^3*g2^3) + (3*t^7.9)/(g1^2*g2^4) + g1^3*g2^6*t^7.95 + (8*t^7.98)/g1^3 + (5*t^8.07)/(g1^2*g2) + (2*g2^2*t^8.23)/g1^2 + (5*t^8.26)/(g1^8*g2^4) + (13*g2*t^8.32)/g1 + (4*t^8.35)/(g1^7*g2^5) + 9*t^8.4 + (3*t^8.43)/(g1^6*g2^6) + (3*g1*t^8.48)/g2 + (2*t^8.52)/(g1^5*g2^7) + (g1^2*t^8.57)/g2^2 + 5*g2^3*t^8.57 + t^8.6/(g1^4*g2^8) + (13*t^8.6)/(g1^6*g2^3) + (14*t^8.68)/(g1^5*g2^4) - g1^2*g2*t^8.73 + (8*t^8.77)/(g1^4*g2^5) + g1*g2^5*t^8.82 + (3*t^8.85)/(g1^3*g2^6) + (4*t^8.85)/(g1^5*g2) + 6*g1^2*g2^4*t^8.9 + (14*t^8.93)/(g1^4*g2^2) + 2*g1^3*g2^3*t^8.98 - t^4.2/y - t^5.4/y - (2*t^6.27)/(g1^2*g2*y) - t^6.35/(g1*g2^2*y) - t^6.6/y - (g1*g2^2*t^6.85)/y + t^7.13/(g1^4*g2^2*y) + (2*t^7.22)/(g1^3*g2^3*y) - t^7.47/(g1^2*g2*y) + (2*g2*t^7.72)/(g1*y) + (g1^2*g2*t^8.13)/y + t^8.33/(g1^4*g2^2*y) + (2*t^8.42)/(g1^3*g2^3*y) + (4*g2*t^8.92)/(g1*y) - t^4.2*y - t^5.4*y - (2*t^6.27*y)/(g1^2*g2) - (t^6.35*y)/(g1*g2^2) - t^6.6*y - g1*g2^2*t^6.85*y + (t^7.13*y)/(g1^4*g2^2) + (2*t^7.22*y)/(g1^3*g2^3) - (t^7.47*y)/(g1^2*g2) + (2*g2*t^7.72*y)/g1 + g1^2*g2*t^8.13*y + (t^8.33*y)/(g1^4*g2^2) + (2*t^8.42*y)/(g1^3*g2^3) + (4*g2*t^8.92*y)/g1

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
61181	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	1.303	1.555	0.8379	[X:[], M:[0.7839, 1.1839], q:[0.5333, 0.5333], qb:[0.2828, 0.2506], phi:[0.4]]	3*t^2.35 + t^2.4 + t^2.45 + 4*t^3.55 + t^3.6 + 2*t^3.65 + 6*t^4.7 + 6*t^4.75 + 4*t^4.8 + 4*t^4.85 + t^4.9 + t^5.86 + 11*t^5.9 + 8*t^5.95 + 5*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*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
57354	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$	1.4123	1.6672	0.8471	[M:[0.7613, 1.1613], q:[0.4193, 0.3807], qb:[0.4193, 0.3807], phi:[0.4]]	2*t^2.284 + 3*t^2.4 + 2*t^3.484 + 3*t^3.6 + 3*t^4.568 + 7*t^4.684 + 2*t^4.742 + 8*t^4.8 + 2*t^4.858 + t^4.916 + 4*t^5.768 + 10*t^5.884 + 2*t^5.942 + 5*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail