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): 6 fund + 6 anti-fund (not completed) 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): 1 Adj + 2 rank-2 anti-symm + 2 conj. of rank-2 anti-symm (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 anti-symm + (conj.) (not completed) SU(9): 2 rank-2 anti-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 SO(5): 2 Adj (not completed) SO(5): 2 Adj + 1 vector (not completed) SO(7): 1 rank-2 symm + 1 rank-2 anti-symm SO(8): 1 Adj + 1 rank-2 symm + 1 vector (not completed) SO(11): 2 rank-2 symm SO(12): 2 rank-2 symm + 1 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 Adj + 4 fund (not completed) Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 2 Adj + 2 fund (not completed) Sp(2): 1 Adj + 1 rank-2 anti-symm + 2 fund (not completed) Sp(2): 1 Adj + 2 rank-2 anti-symm + 2 fund (not completed) Sp(2): 2 Adj + 1 rank-2 anti-symm + 2 fund (not completed) Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) Sp(3): 2 Adj + 1 rank-2 anti-symm Sp(3): 3 rank-2 anti-symm + 2 fund (not completed) Sp(4): 3 rank-2 anti-symm (not completed) Sp(4): 3 rank-2 anti-symm + 2 fund (not completed) Sp(4): 2 rank-2 anti-symm + 2 fund (not completed) Sp(4): 2 rank-2 anti-symm (not completed) Sp(4): 2 rank-2 anti-symm + 2 fund (not completed) G2: 1 Adj + 1 fund H0+H1 (not completed) E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Search for theories with rational R-charges and central 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
45768	SU3adj1nf1	${}\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$	0.9033	0.9375	0.9635	[X:[1.656, 1.484], M:[1.032], q:[0.4733], qb:[0.4947], phi:[0.172]]	[X:[[2], [3]], M:[[-6]], q:[[5]], qb:[[1]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{3}q_{1}^{3}$	${}$	-1	t^3.096 + t^3.42 + t^3.936 + t^4.452 + t^4.968 + t^5.808 - t^6. + t^6.192 + t^6.84 + t^7.032 + t^7.356 + 2*t^7.548 + t^7.872 + t^8.064 + t^8.904 + t^7.548/y^2 - t^3.516/y - t^4.032/y - t^6.612/y - t^7.128/y - t^7.452/y - t^7.968/y - t^8.484/y - t^3.516*y - t^4.032*y - t^6.612*y - t^7.128*y - t^7.452*y - t^7.968*y - t^8.484*y + t^7.548*y^2	t^3.096/g1^6 + g1^5*t^3.42 + g1^4*t^3.936 + g1^3*t^4.452 + g1^2*t^4.968 + g1^12*t^5.808 - t^6. + t^6.192/g1^12 + g1^10*t^6.84 + t^7.032/g1^2 + g1^9*t^7.356 + (2*t^7.548)/g1^3 + g1^8*t^7.872 + t^8.064/g1^4 + g1^6*t^8.904 + t^7.548/(g1^3*y^2) - t^3.516/(g1*y) - t^4.032/(g1^2*y) - t^6.612/(g1^7*y) - t^7.128/(g1^8*y) - (g1^3*t^7.452)/y - (g1^2*t^7.968)/y - (g1*t^8.484)/y - (t^3.516*y)/g1 - (t^4.032*y)/g1^2 - (t^6.612*y)/g1^7 - (t^7.128*y)/g1^8 - g1^3*t^7.452*y - g1^2*t^7.968*y - g1*t^8.484*y + (t^7.548*y^2)/g1^3

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

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
45757	SU3adj1nf1	${}\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$	0.9085	0.9521	0.9542	[X:[1.6403, 1.4605], q:[0.4342], qb:[0.4868], phi:[0.1798]]	t^2.763 + t^3.303 + t^3.842 + t^4.382 + t^4.921 + 2*t^5.526 - t^6. - t^3.539/y - t^4.079/y - t^3.539*y - t^4.079*y	detail