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
57345	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$	1.1886	1.4148	0.8401	[X:[1.6], M:[0.7804], q:[0.2065, 0.5869], qb:[0.6131, 0.1935], phi:[0.4]]	[X:[[0, 0]], M:[[-1, 1]], q:[[0, -1], [-1, 0]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$	${}\phi_{1}^{4}q_{1}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{2}\tilde{q}_{2}^{2}$	3	2*t^2.341 + 2*t^2.4 + t^2.459 + t^3.541 + 3*t^3.6 + 2*t^4.2 + 3*t^4.682 + 4*t^4.741 + 7*t^4.8 + 2*t^4.859 + t^4.918 + 2*t^5.341 + 2*t^5.4 + 2*t^5.459 + 2*t^5.882 + 7*t^5.941 + 3*t^6. + 2*t^6.059 + 4*t^6.541 + 4*t^6.6 + 2*t^6.659 + 4*t^7.023 + 7*t^7.082 + 13*t^7.141 + 13*t^7.2 + 4*t^7.259 + 2*t^7.318 + t^7.377 + 4*t^7.682 + 6*t^7.741 + 8*t^7.8 + 2*t^7.859 + 2*t^7.918 + 3*t^8.223 + 11*t^8.282 + 7*t^8.341 + 10*t^8.4 - t^8.459 + 2*t^8.518 + 8*t^8.882 + 10*t^8.941 - t^4.2/y - t^5.4/y - (2*t^6.541)/y - t^6.6/y - t^6.659/y + t^7.682/y + (2*t^7.741)/y + (2*t^7.859)/y - t^8.882/y + (6*t^8.941)/y - t^4.2*y - t^5.4*y - 2*t^6.541*y - t^6.6*y - t^6.659*y + t^7.682*y + 2*t^7.741*y + 2*t^7.859*y - t^8.882*y + 6*t^8.941*y	(2*g2*t^2.341)/g1 + 2*t^2.4 + (g1*t^2.459)/g2 + (g2*t^3.541)/g1 + 3*t^3.6 + t^4.2/(g1*g2^2) + g1*g2^2*t^4.2 + (3*g2^2*t^4.682)/g1^2 + (4*g2*t^4.741)/g1 + 7*t^4.8 + (2*g1*t^4.859)/g2 + (g1^2*t^4.918)/g2^2 + t^5.341/(g1^2*g2) + g2^3*t^5.341 + t^5.4/(g1*g2^2) + g1*g2^2*t^5.4 + t^5.459/g2^3 + g1^2*g2*t^5.459 + (2*g2^2*t^5.882)/g1^2 + (7*g2*t^5.941)/g1 + 3*t^6. + (2*g1*t^6.059)/g2 + (2*t^6.541)/(g1^2*g2) + 2*g2^3*t^6.541 + (2*t^6.6)/(g1*g2^2) + 2*g1*g2^2*t^6.6 + t^6.659/g2^3 + g1^2*g2*t^6.659 + (4*g2^3*t^7.023)/g1^3 + (7*g2^2*t^7.082)/g1^2 + (13*g2*t^7.141)/g1 + 13*t^7.2 + (4*g1*t^7.259)/g2 + (2*g1^2*t^7.318)/g2^2 + (g1^3*t^7.377)/g2^3 + (2*t^7.682)/g1^3 + (2*g2^4*t^7.682)/g1 + (3*t^7.741)/(g1^2*g2) + 3*g2^3*t^7.741 + (4*t^7.8)/(g1*g2^2) + 4*g1*g2^2*t^7.8 + t^7.859/g2^3 + g1^2*g2*t^7.859 + g1^3*t^7.918 + (g1*t^7.918)/g2^4 + (3*g2^3*t^8.223)/g1^3 + (11*g2^2*t^8.282)/g1^2 + (7*g2*t^8.341)/g1 + 8*t^8.4 + t^8.4/(g1^2*g2^4) + g1^2*g2^4*t^8.4 - (g1*t^8.459)/g2 + (2*g1^2*t^8.518)/g2^2 + (4*t^8.882)/g1^3 + (4*g2^4*t^8.882)/g1 + (5*t^8.941)/(g1^2*g2) + 5*g2^3*t^8.941 - t^4.2/y - t^5.4/y - (2*g2*t^6.541)/(g1*y) - t^6.6/y - (g1*t^6.659)/(g2*y) + (g2^2*t^7.682)/(g1^2*y) + (2*g2*t^7.741)/(g1*y) + (2*g1*t^7.859)/(g2*y) - (g2^2*t^8.882)/(g1^2*y) + (6*g2*t^8.941)/(g1*y) - t^4.2*y - t^5.4*y - (2*g2*t^6.541*y)/g1 - t^6.6*y - (g1*t^6.659*y)/g2 + (g2^2*t^7.682*y)/g1^2 + (2*g2*t^7.741*y)/g1 + (2*g1*t^7.859*y)/g2 - (g2^2*t^8.882*y)/g1^2 + (6*g2*t^8.941*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
58357	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$	1.2045	1.442	0.8353	[X:[1.6], M:[0.8, 0.8], q:[0.2, 0.6], qb:[0.6, 0.2], phi:[0.4]]	6*t^2.4 + 3*t^3.6 + 2*t^4.2 + 23*t^4.8 + 6*t^5.4 + 12*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 2409/2000, c: 721/500, X1: 8/5, M1: 4/5, M2: 4/5, q1: 1/5, q2: 3/5, qb1: 3/5, qb2: 1/5, phi1: 2/5}
58355	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$	1.1741	1.392	0.8435	[X:[1.6], M:[0.7567, 1.1567], q:[0.2144, 0.5712], qb:[0.6288, 0.1856], phi:[0.4]]	2*t^2.27 + 2*t^2.4 + 2*t^3.47 + 3*t^3.6 + 2*t^4.2 + 3*t^4.54 + 4*t^4.67 + 5*t^4.8 + 2*t^5.27 + 2*t^5.4 + 2*t^5.53 + 4*t^5.74 + 9*t^5.87 + 2*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
47890	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$	1.427	1.6906	0.8441	[M:[0.7823], q:[0.4088, 0.3912], qb:[0.4088, 0.3912], phi:[0.4]]	2*t^2.347 + 3*t^2.4 + t^2.453 + t^3.547 + 3*t^3.6 + 3*t^4.694 + 7*t^4.747 + 2*t^4.773 + 10*t^4.8 + 2*t^4.827 + 4*t^4.853 + t^4.906 + 2*t^5.894 + 7*t^5.947 + 2*t^5.973 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail