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 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
57636	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$	0.6585	0.7996	0.8235	[M:[0.9599, 1.0326, 1.1128, 0.7419, 0.8145, 1.2581, 1.0401], q:[0.5602, 0.4799], qb:[0.4073, 0.7782], phi:[0.4436]]	[M:[[-22], [-32], [12], [8], [-2], [-8], [22]], q:[[33], [-11]], qb:[[-1], [3]], phi:[[-6]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{7}\phi_{1}^{2}$	${}$	-2	t^2.444 + t^2.662 + t^3.098 + t^3.12 + t^3.338 + 2*t^3.774 + t^3.992 + t^4.015 + t^4.211 + t^4.233 + t^4.451 + t^4.692 + t^4.887 + t^5.105 + t^5.323 + t^5.564 + t^5.782 - 2*t^6. + t^6.195 + t^6.218 + 3*t^6.436 + t^6.459 + t^6.654 + t^6.677 + 2*t^6.872 + 2*t^6.895 + t^7.113 + 2*t^7.135 + t^7.308 + t^7.331 + 2*t^7.353 + 3*t^7.549 + 2*t^7.767 + t^7.789 + t^7.812 + 3*t^7.985 + 2*t^8.008 + t^8.03 + 2*t^8.226 + t^8.421 - 2*t^8.444 + 2*t^8.466 + t^8.639 - t^8.662 + t^8.707 + t^8.902 + t^8.925 - t^4.331/y - t^6.774/y + t^7.233/y - t^7.429/y + t^7.887/y + t^8.105/y + t^8.541/y + t^8.564/y + t^8.759/y + (2*t^8.782)/y - t^4.331*y - t^6.774*y + t^7.233*y - t^7.429*y + t^7.887*y + t^8.105*y + t^8.541*y + t^8.564*y + t^8.759*y + 2*t^8.782*y	t^2.444/g1^2 + t^2.662/g1^12 + t^3.098/g1^32 + g1^22*t^3.12 + g1^12*t^3.338 + (2*t^3.774)/g1^8 + t^3.992/g1^18 + g1^36*t^4.015 + t^4.211/g1^28 + g1^26*t^4.233 + g1^16*t^4.451 + g1^60*t^4.692 + t^4.887/g1^4 + t^5.105/g1^14 + t^5.323/g1^24 + g1^20*t^5.564 + g1^10*t^5.782 - 2*t^6. + t^6.195/g1^64 + t^6.218/g1^10 + (3*t^6.436)/g1^20 + g1^34*t^6.459 + t^6.654/g1^30 + g1^24*t^6.677 + (2*t^6.872)/g1^40 + 2*g1^14*t^6.895 + g1^4*t^7.113 + 2*g1^58*t^7.135 + t^7.308/g1^60 + t^7.331/g1^6 + 2*g1^48*t^7.353 + (3*t^7.549)/g1^16 + (2*t^7.767)/g1^26 + g1^28*t^7.789 + g1^82*t^7.812 + (3*t^7.985)/g1^36 + 2*g1^18*t^8.008 + g1^72*t^8.03 + 2*g1^8*t^8.226 + t^8.421/g1^56 - (2*t^8.444)/g1^2 + 2*g1^52*t^8.466 + t^8.639/g1^66 - t^8.662/g1^12 + g1^96*t^8.707 + g1^32*t^8.902 + g1^86*t^8.925 - t^4.331/(g1^6*y) - t^6.774/(g1^8*y) + (g1^26*t^7.233)/y - t^7.429/(g1^38*y) + t^7.887/(g1^4*y) + t^8.105/(g1^14*y) + t^8.541/(g1^34*y) + (g1^20*t^8.564)/y + t^8.759/(g1^44*y) + (2*g1^10*t^8.782)/y - (t^4.331*y)/g1^6 - (t^6.774*y)/g1^8 + g1^26*t^7.233*y - (t^7.429*y)/g1^38 + (t^7.887*y)/g1^4 + (t^8.105*y)/g1^14 + (t^8.541*y)/g1^34 + g1^20*t^8.564*y + (t^8.759*y)/g1^44 + 2*g1^10*t^8.782*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

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
55932	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$	0.6633	0.8079	0.821	[M:[0.9359, 0.9977, 1.1259, 0.7506, 0.8124, 1.2494], q:[0.5961, 0.468], qb:[0.4062, 0.7815], phi:[0.4371]]	t^2.437 + t^2.622 + t^2.808 + t^2.993 + t^3.378 + 2*t^3.748 + t^3.934 + t^4.119 + t^4.133 + t^4.318 + t^4.503 + t^4.874 + t^4.888 + t^5.059 + 2*t^5.245 + t^5.43 + t^5.615 + t^5.801 + t^5.986 - 2*t^6. - t^4.311/y - t^4.311*y	detail