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
58389	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$	1.4606	1.7503	0.8345	[X:[], M:[0.7823, 0.8, 0.7823], q:[0.4178, 0.3824], qb:[0.3999, 0.3999], phi:[0.4]]	[X:[], M:[[1, 0, 1], [0, 0, 0], [1, 1, 0]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$	${}\phi_{1}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$	0	4*t^2.35 + 2*t^2.4 + 2*t^2.45 + 2*t^3.55 + 10*t^4.69 + 11*t^4.75 + 13*t^4.8 + 7*t^4.85 + 3*t^4.91 + 7*t^5.89 + 5*t^5.95 + t^6.05 - t^6.11 + 21*t^7.04 + 34*t^7.09 + 44*t^7.15 + 38*t^7.2 + 26*t^7.25 + 11*t^7.31 + 5*t^7.36 + 16*t^8.24 + 21*t^8.29 + 2*t^8.35 - t^8.4 - 12*t^8.45 - 3*t^8.51 - 2*t^8.56 - t^4.2/y - t^5.4/y - (4*t^6.55)/y - (2*t^6.6)/y - (2*t^6.65)/y + (6*t^7.69)/y + (4*t^7.75)/y + (8*t^7.8)/y + (4*t^7.85)/y + t^7.91/y - (2*t^8.89)/y - (6*t^8.95)/y - t^4.2*y - t^5.4*y - 4*t^6.55*y - 2*t^6.6*y - 2*t^6.65*y + 6*t^7.69*y + 4*t^7.75*y + 8*t^7.8*y + 4*t^7.85*y + t^7.91*y - 2*t^8.89*y - 6*t^8.95*y	2*g1*g2*t^2.35 + 2*g1*g3*t^2.35 + 2*t^2.4 + t^2.45/(g1*g2) + t^2.45/(g1*g3) + g1*g2*t^3.55 + g1*g3*t^3.55 + 3*g1^2*g2^2*t^4.69 + 4*g1^2*g2*g3*t^4.69 + 3*g1^2*g3^2*t^4.69 + 5*g1*g2*t^4.75 + (g1*t^4.75)/(g2*g3) + 5*g1*g3*t^4.75 + 7*t^4.8 + (2*g2*t^4.8)/g3 + (2*g3*t^4.8)/g2 + g2^2*g3*t^4.8 + g2*g3^2*t^4.8 + (3*t^4.85)/(g1*g2) + t^4.85/(g1*g2^2*g3^2) + (3*t^4.85)/(g1*g3) + t^4.91/(g1^2*g2^2) + t^4.91/(g1^2*g3^2) + t^4.91/(g1^2*g2*g3) + 2*g1^2*g2^2*t^5.89 + 3*g1^2*g2*g3*t^5.89 + 2*g1^2*g3^2*t^5.89 + 2*g1*g2*t^5.95 + (g1*t^5.95)/(g2*g3) + 2*g1*g3*t^5.95 - 2*t^6. + g2^2*g3*t^6. + g2*g3^2*t^6. + t^6.05/(g1*g2^2*g3^2) - t^6.11/(g1^2*g2*g3) + g1^3*t^7.04 + 4*g1^3*g2^3*t^7.04 + 6*g1^3*g2^2*g3*t^7.04 + 6*g1^3*g2*g3^2*t^7.04 + 4*g1^3*g3^3*t^7.04 + (2*g1^2*t^7.09)/g2 + 9*g1^2*g2^2*t^7.09 + (2*g1^2*t^7.09)/g3 + 12*g1^2*g2*g3*t^7.09 + 9*g1^2*g3^2*t^7.09 + 14*g1*g2*t^7.15 + (3*g1*t^7.15)/(g2*g3) + (3*g1*g2^2*t^7.15)/g3 + 14*g1*g3*t^7.15 + 2*g1*g2^3*g3*t^7.15 + (3*g1*g3^2*t^7.15)/g2 + 3*g1*g2^2*g3^2*t^7.15 + 2*g1*g2*g3^3*t^7.15 + 14*t^7.2 + g2^3*t^7.2 + (2*t^7.2)/(g2*g3^2) + (2*t^7.2)/(g2^2*g3) + (6*g2*t^7.2)/g3 + (6*g3*t^7.2)/g2 + 3*g2^2*g3*t^7.2 + 3*g2*g3^2*t^7.2 + g3^3*t^7.2 + (8*t^7.25)/(g1*g2) + (g2^2*t^7.25)/g1 + (3*t^7.25)/(g1*g2^2*g3^2) + (2*g2*t^7.25)/(g1*g3^2) + (8*t^7.25)/(g1*g3) + (2*g3*t^7.25)/(g1*g2^2) + (g2*g3*t^7.25)/g1 + (g3^2*t^7.25)/g1 + (3*t^7.31)/(g1^2*g2^2) + t^7.31/(g1^2*g2^2*g3^3) + (3*t^7.31)/(g1^2*g3^2) + t^7.31/(g1^2*g2^3*g3^2) + (3*t^7.31)/(g1^2*g2*g3) + t^7.36/(g1^3*g2^3) + t^7.36/(g1^3*g3^3) + t^7.36/(g1^3*g2^3*g3^3) + t^7.36/(g1^3*g2*g3^2) + t^7.36/(g1^3*g2^2*g3) + 3*g1^3*g2^3*t^8.24 + 5*g1^3*g2^2*g3*t^8.24 + 5*g1^3*g2*g3^2*t^8.24 + 3*g1^3*g3^3*t^8.24 + (2*g1^2*t^8.29)/g2 + 5*g1^2*g2^2*t^8.29 + (2*g1^2*t^8.29)/g3 + 7*g1^2*g2*g3*t^8.29 + 5*g1^2*g3^2*t^8.29 - 3*g1*g2*t^8.35 + (g1*t^8.35)/(g2*g3) - 3*g1*g3*t^8.35 + 2*g1*g2^3*g3*t^8.35 + 3*g1*g2^2*g3^2*t^8.35 + 2*g1*g2*g3^3*t^8.35 - 5*t^8.4 + t^8.4/(g2*g3^2) + t^8.4/(g2^2*g3) + g2^2*g3*t^8.4 + g2*g3^2*t^8.4 - (6*t^8.45)/(g1*g2) + t^8.45/(g1*g2^2*g3^2) - (6*t^8.45)/(g1*g3) - (g2*g3*t^8.45)/g1 - (3*t^8.51)/(g1^2*g2*g3) - t^8.56/(g1^3*g2*g3^2) - t^8.56/(g1^3*g2^2*g3) - t^4.2/y - t^5.4/y - (2*g1*g2*t^6.55)/y - (2*g1*g3*t^6.55)/y - (2*t^6.6)/y - t^6.65/(g1*g2*y) - t^6.65/(g1*g3*y) + (g1^2*g2^2*t^7.69)/y + (4*g1^2*g2*g3*t^7.69)/y + (g1^2*g3^2*t^7.69)/y + (2*g1*g2*t^7.75)/y + (2*g1*g3*t^7.75)/y + (4*t^7.8)/y + (2*g2*t^7.8)/(g3*y) + (2*g3*t^7.8)/(g2*y) + (2*t^7.85)/(g1*g2*y) + (2*t^7.85)/(g1*g3*y) + t^7.91/(g1^2*g2*g3*y) - (g1^2*g2^2*t^8.89)/y - (g1^2*g3^2*t^8.89)/y - (3*g1*g2*t^8.95)/y - (3*g1*g3*t^8.95)/y - t^4.2*y - t^5.4*y - 2*g1*g2*t^6.55*y - 2*g1*g3*t^6.55*y - 2*t^6.6*y - (t^6.65*y)/(g1*g2) - (t^6.65*y)/(g1*g3) + g1^2*g2^2*t^7.69*y + 4*g1^2*g2*g3*t^7.69*y + g1^2*g3^2*t^7.69*y + 2*g1*g2*t^7.75*y + 2*g1*g3*t^7.75*y + 4*t^7.8*y + (2*g2*t^7.8*y)/g3 + (2*g3*t^7.8*y)/g2 + (2*t^7.85*y)/(g1*g2) + (2*t^7.85*y)/(g1*g3) + (t^7.91*y)/(g1^2*g2*g3) - g1^2*g2^2*t^8.89*y - g1^2*g3^2*t^8.89*y - 3*g1*g2*t^8.95*y - 3*g1*g3*t^8.95*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
61134	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	1.4459	1.7268	0.8373	[X:[], M:[0.7613, 0.8, 0.7823, 1.1613], q:[0.4285, 0.3721], qb:[0.4102, 0.3892], phi:[0.4]]	2*t^2.28 + 2*t^2.35 + 2*t^2.4 + t^2.45 + 2*t^3.48 + t^3.55 + 3*t^4.57 + 4*t^4.63 + 5*t^4.68 + 3*t^4.69 + t^4.72 + 2*t^4.74 + 5*t^4.75 + t^4.77 + 5*t^4.8 + t^4.83 + 3*t^4.85 + t^4.89 + t^4.91 + t^4.92 + 4*t^5.77 + 5*t^5.83 + 4*t^5.88 + 2*t^5.89 + t^5.92 + t^5.94 + 2*t^5.95 + t^5.97 - 3*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
57356	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$	1.4435	1.7196	0.8394	[M:[0.7823, 0.8], q:[0.4088, 0.3912], qb:[0.4088, 0.3912], phi:[0.4]]	2*t^2.347 + 4*t^2.4 + t^2.453 + t^3.547 + 2*t^3.6 + 3*t^4.694 + 9*t^4.747 + 2*t^4.773 + 14*t^4.8 + 2*t^4.827 + 5*t^4.853 + t^4.906 + 2*t^5.894 + 6*t^5.947 + 2*t^5.973 + 5*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail