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
641	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6545	0.842	0.7773	[M:[1.2082, 1.1041, 0.7918, 0.7082, 0.6877], q:[0.75, 0.4377], qb:[0.3541, 0.4582], phi:[0.5]]	[M:[[2], [1], [-2], [2], [-3]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	${}M_{3}q_{1}\tilde{q}_{2}$	0	t^2.063 + t^2.125 + t^2.375 + t^2.437 + t^3. + 2*t^3.312 + t^3.563 + 2*t^3.625 + 2*t^4.126 + 2*t^4.188 + 2*t^4.249 + t^4.438 + 2*t^4.5 + t^4.562 + t^4.751 + t^4.812 + t^4.874 + t^5.063 + t^5.125 + 3*t^5.375 + 3*t^5.437 + t^5.626 + 4*t^5.688 + 3*t^5.749 + t^6.062 + 2*t^6.189 + 2*t^6.251 + 2*t^6.312 + 2*t^6.374 + 2*t^6.502 + 3*t^6.563 + 6*t^6.625 + 2*t^6.686 + t^6.814 + 2*t^6.875 + 4*t^6.937 + t^6.998 + 3*t^7.126 + t^7.188 + 3*t^7.249 + t^7.311 + 3*t^7.438 + 2*t^7.5 + 3*t^7.562 + 2*t^7.689 + 5*t^7.751 + 5*t^7.812 + 5*t^7.874 - t^8.063 - t^8.125 + 2*t^8.186 + 3*t^8.252 + 3*t^8.314 + 2*t^8.375 + 2*t^8.437 + 4*t^8.498 + 2*t^8.565 + 3*t^8.626 + 4*t^8.688 + 5*t^8.749 + 2*t^8.811 + 2*t^8.877 + 2*t^8.938 - t^4.5/y - t^6.563/y - t^6.625/y + (2*t^7.188)/y + t^7.438/y + (2*t^7.5)/y + t^7.562/y + t^8.063/y + t^8.125/y + (4*t^8.375)/y + (4*t^8.437)/y + (4*t^8.688)/y + (3*t^8.749)/y + t^8.938/y - t^4.5*y - t^6.563*y - t^6.625*y + 2*t^7.188*y + t^7.438*y + 2*t^7.5*y + t^7.562*y + t^8.063*y + t^8.125*y + 4*t^8.375*y + 4*t^8.437*y + 4*t^8.688*y + 3*t^8.749*y + t^8.938*y	t^2.063/g1^3 + g1^2*t^2.125 + t^2.375/g1^2 + g1^3*t^2.437 + t^3. + 2*g1*t^3.312 + t^3.563/g1^3 + 2*g1^2*t^3.625 + (2*t^4.126)/g1^6 + (2*t^4.188)/g1 + 2*g1^4*t^4.249 + t^4.438/g1^5 + 2*t^4.5 + g1^5*t^4.562 + t^4.751/g1^4 + g1*t^4.812 + g1^6*t^4.874 + t^5.063/g1^3 + g1^2*t^5.125 + (3*t^5.375)/g1^2 + 3*g1^3*t^5.437 + t^5.626/g1^6 + (4*t^5.688)/g1 + 3*g1^4*t^5.749 + g1^5*t^6.062 + (2*t^6.189)/g1^9 + (2*t^6.251)/g1^4 + 2*g1*t^6.312 + 2*g1^6*t^6.374 + (2*t^6.502)/g1^8 + (3*t^6.563)/g1^3 + 6*g1^2*t^6.625 + 2*g1^7*t^6.686 + t^6.814/g1^7 + (2*t^6.875)/g1^2 + 4*g1^3*t^6.937 + g1^8*t^6.998 + (3*t^7.126)/g1^6 + t^7.188/g1 + 3*g1^4*t^7.249 + g1^9*t^7.311 + (3*t^7.438)/g1^5 + 2*t^7.5 + 3*g1^5*t^7.562 + (2*t^7.689)/g1^9 + (5*t^7.751)/g1^4 + 5*g1*t^7.812 + 5*g1^6*t^7.874 - t^8.063/g1^3 - g1^2*t^8.125 + 2*g1^7*t^8.186 + (3*t^8.252)/g1^12 + (3*t^8.314)/g1^7 + (2*t^8.375)/g1^2 + 2*g1^3*t^8.437 + 4*g1^8*t^8.498 + (2*t^8.565)/g1^11 + (3*t^8.626)/g1^6 + (4*t^8.688)/g1 + 5*g1^4*t^8.749 + 2*g1^9*t^8.811 + (2*t^8.877)/g1^10 + (2*t^8.938)/g1^5 - t^4.5/y - t^6.563/(g1^3*y) - (g1^2*t^6.625)/y + (2*t^7.188)/(g1*y) + t^7.438/(g1^5*y) + (2*t^7.5)/y + (g1^5*t^7.562)/y + t^8.063/(g1^3*y) + (g1^2*t^8.125)/y + (4*t^8.375)/(g1^2*y) + (4*g1^3*t^8.437)/y + (4*t^8.688)/(g1*y) + (3*g1^4*t^8.749)/y + t^8.938/(g1^5*y) - t^4.5*y - (t^6.563*y)/g1^3 - g1^2*t^6.625*y + (2*t^7.188*y)/g1 + (t^7.438*y)/g1^5 + 2*t^7.5*y + g1^5*t^7.562*y + (t^8.063*y)/g1^3 + g1^2*t^8.125*y + (4*t^8.375*y)/g1^2 + 4*g1^3*t^8.437*y + (4*t^8.688*y)/g1 + 3*g1^4*t^8.749*y + (t^8.938*y)/g1^5

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
1958	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$	0.6707	0.871	0.7701	[M:[1.1975, 1.0987, 0.8025, 0.6975, 0.7038, 0.7962], q:[0.75, 0.4538], qb:[0.3487, 0.4475], phi:[0.5]]	t^2.092 + t^2.111 + 2*t^2.389 + t^2.408 + t^3. + 2*t^3.296 + 2*t^3.592 + 2*t^4.185 + 2*t^4.204 + 2*t^4.223 + 2*t^4.481 + 3*t^4.5 + t^4.519 + 3*t^4.777 + 2*t^4.796 + t^4.815 + t^5.092 + t^5.111 + 4*t^5.389 + 3*t^5.408 + 5*t^5.685 + 3*t^5.704 + 3*t^5.981 - t^6. - t^4.5/y - t^4.5*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
397	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$	0.6338	0.802	0.7903	[M:[1.2058, 1.1029, 0.7942, 0.7058], q:[0.75, 0.4413], qb:[0.3529, 0.4558], phi:[0.5]]	t^2.117 + t^2.383 + t^2.426 + t^3. + 2*t^3.309 + t^3.574 + 2*t^3.617 + t^3.926 + t^4.148 + t^4.191 + 2*t^4.235 + t^4.5 + t^4.543 + t^4.765 + t^4.809 + t^4.852 + t^5.117 + t^5.383 + 3*t^5.426 + 2*t^5.691 + 3*t^5.735 - t^4.5/y - t^4.5*y	detail