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
46176	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$	0.6123	0.7911	0.7741	[M:[0.9708, 0.7135, 1.0292], q:[0.7427, 0.2865], qb:[0.4854, 0.4269], phi:[0.5146]]	[M:[[4], [5], [-4]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	-1	2*t^2.14 + t^2.316 + t^2.737 + 2*t^3.088 + t^3.263 + t^3.509 + 2*t^3.684 + t^4.105 + 4*t^4.281 + 3*t^4.456 + t^4.632 + 2*t^4.877 + t^5.053 + 4*t^5.228 + 3*t^5.403 + t^5.474 + 2*t^5.649 + 5*t^5.825 - t^6. + 3*t^6.246 + 2*t^6.351 + 7*t^6.421 + t^6.526 + 4*t^6.597 + 4*t^6.772 + t^6.842 + 4*t^7.018 - t^7.123 + 5*t^7.193 + 7*t^7.368 + 3*t^7.544 + 3*t^7.614 + 6*t^7.79 + 7*t^7.965 - 3*t^8.14 + 2*t^8.211 - 2*t^8.316 + 6*t^8.386 + 2*t^8.491 + 12*t^8.562 + t^8.667 + 4*t^8.737 + 4*t^8.912 + 3*t^8.983 - t^4.544/y - t^6.684/y + t^7.281/y + (3*t^7.456)/y - t^7.632/y + (2*t^7.877)/y + t^8.053/y + (4*t^8.228)/y + (5*t^8.403)/y + t^8.579/y + (2*t^8.649)/y + (6*t^8.825)/y - t^4.544*y - t^6.684*y + t^7.281*y + 3*t^7.456*y - t^7.632*y + 2*t^7.877*y + t^8.053*y + 4*t^8.228*y + 5*t^8.403*y + t^8.579*y + 2*t^8.649*y + 6*t^8.825*y	2*g1^5*t^2.14 + t^2.316/g1^3 + g1^12*t^2.737 + (2*t^3.088)/g1^4 + t^3.263/g1^12 + g1^11*t^3.509 + 2*g1^3*t^3.684 + g1^18*t^4.105 + 4*g1^10*t^4.281 + 3*g1^2*t^4.456 + t^4.632/g1^6 + 2*g1^17*t^4.877 + g1^9*t^5.053 + 4*g1*t^5.228 + (3*t^5.403)/g1^7 + g1^24*t^5.474 + 2*g1^16*t^5.649 + 5*g1^8*t^5.825 - t^6. + 3*g1^23*t^6.246 + (2*t^6.351)/g1^16 + 7*g1^15*t^6.421 + t^6.526/g1^24 + 4*g1^7*t^6.597 + (4*t^6.772)/g1 + g1^30*t^6.842 + 4*g1^22*t^7.018 - t^7.123/g1^17 + 5*g1^14*t^7.193 + 7*g1^6*t^7.368 + (3*t^7.544)/g1^2 + 3*g1^29*t^7.614 + 6*g1^21*t^7.79 + 7*g1^13*t^7.965 - 3*g1^5*t^8.14 + 2*g1^36*t^8.211 - (2*t^8.316)/g1^3 + 6*g1^28*t^8.386 + (2*t^8.491)/g1^11 + 12*g1^20*t^8.562 + t^8.667/g1^19 + 4*g1^12*t^8.737 + 4*g1^4*t^8.912 + 3*g1^35*t^8.983 - t^4.544/(g1^2*y) - (g1^3*t^6.684)/y + (g1^10*t^7.281)/y + (3*g1^2*t^7.456)/y - t^7.632/(g1^6*y) + (2*g1^17*t^7.877)/y + (g1^9*t^8.053)/y + (4*g1*t^8.228)/y + (5*t^8.403)/(g1^7*y) + t^8.579/(g1^15*y) + (2*g1^16*t^8.649)/y + (6*g1^8*t^8.825)/y - (t^4.544*y)/g1^2 - g1^3*t^6.684*y + g1^10*t^7.281*y + 3*g1^2*t^7.456*y - (t^7.632*y)/g1^6 + 2*g1^17*t^7.877*y + g1^9*t^8.053*y + 4*g1*t^8.228*y + (5*t^8.403*y)/g1^7 + (t^8.579*y)/g1^15 + 2*g1^16*t^8.649*y + 6*g1^8*t^8.825*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
46418	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$	0.6064	0.7789	0.7785	[M:[0.9868, 0.7335, 1.0132, 1.0396], q:[0.7467, 0.2665], qb:[0.4934, 0.467], phi:[0.5066]]	2*t^2.2 + t^2.28 + 2*t^3.04 + 2*t^3.119 + t^3.641 + 2*t^3.72 + t^4.322 + 4*t^4.401 + 3*t^4.48 + t^4.559 + 4*t^5.24 + 5*t^5.319 + t^5.399 + 2*t^5.841 + 3*t^5.921 - 2*t^6. - t^4.52/y - t^4.52*y	detail
46411	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$	0.5493	0.7074	0.7765	[M:[1.0588, 0.8235, 0.9412], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]]	t^2.118 + 3*t^2.471 + 2*t^2.824 + t^3.529 + 2*t^3.882 + 2*t^4.235 + 3*t^4.588 + 8*t^4.941 + 7*t^5.294 + t^5.647 - t^4.412/y - t^4.412*y	detail	{a: 43179/78608, c: 27803/39304, M1: 18/17, M2: 14/17, M3: 16/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17}

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
45952	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$	0.6153	0.7974	0.7716	[M:[0.9656, 0.707], q:[0.7414, 0.293], qb:[0.4828, 0.4139], phi:[0.5172]]	2*t^2.121 + t^2.327 + t^2.69 + t^2.897 + t^3.103 + t^3.31 + t^3.466 + 2*t^3.673 + t^4.035 + 4*t^4.242 + 3*t^4.448 + t^4.655 + 2*t^4.811 + 3*t^5.018 + 3*t^5.224 + t^5.38 + 2*t^5.431 + 3*t^5.587 + 5*t^5.793 - t^4.552/y - t^4.552*y	detail