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
58397	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1.3478	1.6153	0.8344	[X:[], M:[0.8604, 0.8604], q:[0.2868, 0.2868], qb:[0.4528, 0.5736], phi:[0.4]]	[X:[], M:[[1, 1], [-1, 2]], q:[[-1, 1], [1, 0]], qb:[[0, -2], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$	${}\phi_{1}q_{1}^{3}q_{2}\tilde{q}_{1}$, ${ 2}\phi_{1}q_{1}^{2}q_{2}^{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	3	2*t^2.22 + t^2.4 + 4*t^2.58 + t^3.6 + 4*t^3.78 + 3*t^4.44 + 4*t^4.62 + 9*t^4.8 + 8*t^4.98 + 10*t^5.16 + 2*t^5.82 + 3*t^6. + 12*t^6.18 + 14*t^6.36 + 4*t^6.66 + 7*t^6.84 + 14*t^7.02 + 16*t^7.2 + 28*t^7.38 + 30*t^7.56 + t^7.68 + 20*t^7.74 + 3*t^8.04 + 15*t^8.4 + 12*t^8.58 + 48*t^8.76 + 5*t^8.88 + 32*t^8.94 - t^4.2/y - t^5.4/y - (2*t^6.42)/y - t^6.6/y - (4*t^6.78)/y + t^7.44/y + (2*t^7.62)/y + (7*t^7.8)/y + (6*t^8.16)/y - (3*t^8.64)/y - t^4.2*y - t^5.4*y - 2*t^6.42*y - t^6.6*y - 4*t^6.78*y + t^7.44*y + 2*t^7.62*y + 7*t^7.8*y + 6*t^8.16*y - 3*t^8.64*y	(g1*t^2.22)/g2^2 + t^2.22/(g1*g2) + t^2.4 + 2*g1*g2*t^2.58 + (2*g2^2*t^2.58)/g1 + t^3.6 + 2*g1*g2*t^3.78 + (2*g2^2*t^3.78)/g1 + (g1^2*t^4.44)/g2^4 + t^4.44/g2^3 + t^4.44/(g1^2*g2^2) + (2*g1*t^4.62)/g2^2 + (2*t^4.62)/(g1*g2) + 5*t^4.8 + (2*g1^2*t^4.8)/g2 + (2*g2*t^4.8)/g1^2 + 4*g1*g2*t^4.98 + (4*g2^2*t^4.98)/g1 + 3*g1^2*g2^2*t^5.16 + 4*g2^3*t^5.16 + (3*g2^4*t^5.16)/g1^2 + (g1*t^5.82)/g2^2 + t^5.82/(g1*g2) + t^6. + (g1^2*t^6.)/g2 + (g2*t^6.)/g1^2 + g1^3*t^6.18 + 5*g1*g2*t^6.18 + (5*g2^2*t^6.18)/g1 + (g2^3*t^6.18)/g1^3 + 4*g1^2*g2^2*t^6.36 + 6*g2^3*t^6.36 + (4*g2^4*t^6.36)/g1^2 + (g1^3*t^6.66)/g2^6 + (g1*t^6.66)/g2^5 + t^6.66/(g1*g2^4) + t^6.66/(g1^3*g2^3) + (2*g1^2*t^6.84)/g2^4 + (3*t^6.84)/g2^3 + (2*t^6.84)/(g1^2*g2^2) + (2*t^7.02)/g1^3 + (2*g1^3*t^7.02)/g2^3 + (5*g1*t^7.02)/g2^2 + (5*t^7.02)/(g1*g2) + 8*t^7.2 + (4*g1^2*t^7.2)/g2 + (4*g2*t^7.2)/g1^2 + 3*g1^3*t^7.38 + 11*g1*g2*t^7.38 + (11*g2^2*t^7.38)/g1 + (3*g2^3*t^7.38)/g1^3 + 9*g1^2*g2^2*t^7.56 + 12*g2^3*t^7.56 + (9*g2^4*t^7.56)/g1^2 + t^7.68/g2^6 + 4*g1^3*g2^3*t^7.74 + 6*g1*g2^4*t^7.74 + (6*g2^5*t^7.74)/g1 + (4*g2^6*t^7.74)/g1^3 + (g1^2*t^8.04)/g2^4 + t^8.04/g2^3 + t^8.04/(g1^2*g2^2) + t^8.22/g1^3 + (g1^3*t^8.22)/g2^3 - (g1*t^8.22)/g2^2 - t^8.22/(g1*g2) + 5*t^8.4 + (g1^4*t^8.4)/g2^2 + (4*g1^2*t^8.4)/g2 + (4*g2*t^8.4)/g1^2 + (g2^2*t^8.4)/g1^4 + 2*g1^3*t^8.58 + 4*g1*g2*t^8.58 + (4*g2^2*t^8.58)/g1 + (2*g2^3*t^8.58)/g1^3 + 2*g1^4*g2*t^8.76 + 13*g1^2*g2^2*t^8.76 + 18*g2^3*t^8.76 + (13*g2^4*t^8.76)/g1^2 + (2*g2^5*t^8.76)/g1^4 + (g1^4*t^8.88)/g2^8 + (g1^2*t^8.88)/g2^7 + t^8.88/g2^6 + t^8.88/(g1^2*g2^5) + t^8.88/(g1^4*g2^4) + 6*g1^3*g2^3*t^8.94 + 10*g1*g2^4*t^8.94 + (10*g2^5*t^8.94)/g1 + (6*g2^6*t^8.94)/g1^3 - t^4.2/y - t^5.4/y - (g1*t^6.42)/(g2^2*y) - t^6.42/(g1*g2*y) - t^6.6/y - (2*g1*g2*t^6.78)/y - (2*g2^2*t^6.78)/(g1*y) + t^7.44/(g2^3*y) + (g1*t^7.62)/(g2^2*y) + t^7.62/(g1*g2*y) + (3*t^7.8)/y + (2*g1^2*t^7.8)/(g2*y) + (2*g2*t^7.8)/(g1^2*y) + (g1^2*g2^2*t^8.16)/y + (4*g2^3*t^8.16)/y + (g2^4*t^8.16)/(g1^2*y) - (g1^2*t^8.64)/(g2^4*y) - t^8.64/(g2^3*y) - t^8.64/(g1^2*g2^2*y) - t^4.2*y - t^5.4*y - (g1*t^6.42*y)/g2^2 - (t^6.42*y)/(g1*g2) - t^6.6*y - 2*g1*g2*t^6.78*y - (2*g2^2*t^6.78*y)/g1 + (t^7.44*y)/g2^3 + (g1*t^7.62*y)/g2^2 + (t^7.62*y)/(g1*g2) + 3*t^7.8*y + (2*g1^2*t^7.8*y)/g2 + (2*g2*t^7.8*y)/g1^2 + g1^2*g2^2*t^8.16*y + 4*g2^3*t^8.16*y + (g2^4*t^8.16*y)/g1^2 - (g1^2*t^8.64*y)/g2^4 - (t^8.64*y)/g2^3 - (t^8.64*y)/(g1^2*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
61200	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$	1.3674	1.6511	0.8282	[X:[], M:[0.8692, 0.8607, 0.7308], q:[0.2841, 0.2926], qb:[0.4467, 0.5766], phi:[0.4]]	2*t^2.19 + t^2.22 + t^2.4 + 2*t^2.58 + 2*t^2.61 + t^3.6 + 2*t^3.78 + t^3.81 + 3*t^4.38 + 2*t^4.41 + t^4.44 + 3*t^4.59 + 2*t^4.62 + 4*t^4.77 + 7*t^4.8 + 2*t^4.83 + 4*t^4.98 + 4*t^5.01 + 3*t^5.16 + 4*t^5.19 + 3*t^5.22 + 2*t^5.79 + t^5.82 + 3*t^5.97 + 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
57357	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$	1.4441	1.7213	0.8389	[M:[0.7823, 0.7823], q:[0.3999, 0.3999], qb:[0.4178, 0.3824], phi:[0.4]]	4*t^2.347 + t^2.4 + 2*t^2.453 + 2*t^3.547 + t^3.6 + 10*t^4.694 + 6*t^4.747 + t^4.748 + 2*t^4.799 + 9*t^4.8 + 4*t^4.853 + t^4.854 + 3*t^4.906 + 7*t^5.894 + 6*t^5.947 + t^5.948 + 2*t^5.999 - t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail