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 =

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
5504	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{4}M_{8}$	0.6031	0.7534	0.8005	[X:[1.6], M:[0.4, 1.2, 0.8, 0.9952, 1.0048, 0.7903, 0.8, 1.0048], q:[0.6, 1.0], qb:[0.4048, 0.3952], phi:[0.4]]	[X:[[0]], M:[[0], [0], [0], [1], [-1], [2], [0], [-1]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }X_{1}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$	${}M_{1}^{2}q_{1}^{2}$	-3	t^2.371 + 3*t^2.4 + 2*t^3.015 + t^3.571 + t^4.185 + t^4.215 + t^4.742 + 3*t^4.771 + 7*t^4.8 + t^5.385 + 5*t^5.415 + t^5.942 + 2*t^5.971 - 3*t^6. + 2*t^6.029 + t^6.556 + 3*t^6.585 + t^7.113 + 4*t^7.142 + 5*t^7.171 + 10*t^7.2 + 2*t^7.756 + 8*t^7.815 + t^8.313 + 2*t^8.342 + t^8.371 - 9*t^8.4 + 4*t^8.429 + t^8.927 + 2*t^8.956 + 3*t^8.985 - t^4.2/y - t^6.571/y - (2*t^6.6)/y + t^7.185/y - t^7.215/y + (3*t^7.771)/y + (5*t^7.8)/y + t^7.829/y + (2*t^8.385)/y + (6*t^8.415)/y + t^8.971/y - t^4.2*y - t^6.571*y - 2*t^6.6*y + t^7.185*y - t^7.215*y + 3*t^7.771*y + 5*t^7.8*y + t^7.829*y + 2*t^8.385*y + 6*t^8.415*y + t^8.971*y	g1^2*t^2.371 + 3*t^2.4 + (2*t^3.015)/g1 + g1^2*t^3.571 + g1*t^4.185 + t^4.215/g1 + g1^4*t^4.742 + 3*g1^2*t^4.771 + 7*t^4.8 + g1*t^5.385 + (5*t^5.415)/g1 + g1^4*t^5.942 + 2*g1^2*t^5.971 - 3*t^6. + (2*t^6.029)/g1^2 + g1^3*t^6.556 + 3*g1*t^6.585 + g1^6*t^7.113 + 4*g1^4*t^7.142 + 5*g1^2*t^7.171 + 10*t^7.2 + 2*g1^3*t^7.756 + (8*t^7.815)/g1 + g1^6*t^8.313 + 2*g1^4*t^8.342 + g1^2*t^8.371 - 9*t^8.4 + (4*t^8.429)/g1^2 + g1^5*t^8.927 + 2*g1^3*t^8.956 + 3*g1*t^8.985 - t^4.2/y - (g1^2*t^6.571)/y - (2*t^6.6)/y + (g1*t^7.185)/y - t^7.215/(g1*y) + (3*g1^2*t^7.771)/y + (5*t^7.8)/y + t^7.829/(g1^2*y) + (2*g1*t^8.385)/y + (6*t^8.415)/(g1*y) + (g1^2*t^8.971)/y - t^4.2*y - g1^2*t^6.571*y - 2*t^6.6*y + g1*t^7.185*y - (t^7.215*y)/g1 + 3*g1^2*t^7.771*y + 5*t^7.8*y + (t^7.829*y)/g1^2 + 2*g1*t^8.385*y + (6*t^8.415*y)/g1 + g1^2*t^8.971*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
3970	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$	0.6043	0.757	0.7983	[X:[1.6], M:[0.4, 1.2, 0.8, 0.9784, 1.0216, 0.7567, 0.8], q:[0.6, 1.0], qb:[0.4216, 0.3784], phi:[0.4]]	t^2.27 + 3*t^2.4 + t^2.935 + t^3.065 + t^3.47 + t^4.135 + t^4.265 + t^4.54 + 3*t^4.67 + 7*t^4.8 + t^5.205 + 3*t^5.335 + 2*t^5.465 + t^5.74 + 3*t^5.87 - 2*t^6. - t^4.2/y - t^4.2*y	detail