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
103	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$	0.6363	0.8038	0.7916	[M:[1.142, 0.6775], q:[0.75, 0.4306], qb:[0.4275, 0.392], phi:[0.5]]	[M:[[0, 1], [1, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	-1	t^2.032 + t^2.458 + t^2.468 + t^3. + 2*t^3.426 + t^3.532 + t^3.542 + t^3.852 + t^3.958 + 2*t^4.065 + t^4.074 + t^4.083 + t^4.491 + t^4.5 + t^4.917 + t^4.926 + t^4.935 + t^5.032 + 3*t^5.458 + t^5.468 + t^5.565 + t^5.574 + 2*t^5.884 + t^5.893 + t^5.991 - t^6. + 2*t^6.097 + t^6.31 + t^6.319 + t^6.417 + t^6.426 + 2*t^6.523 + 2*t^6.532 + t^6.542 + t^6.551 + 3*t^6.852 + t^6.949 + 2*t^6.958 + t^6.968 + 2*t^7.065 + t^7.083 + 2*t^7.278 + t^7.375 + 2*t^7.384 + t^7.403 + 4*t^7.491 + 2*t^7.597 + t^7.607 + t^7.625 + t^7.703 + t^7.81 + 4*t^7.917 + t^7.926 + t^7.935 + 2*t^8.023 - 2*t^8.032 - t^8.042 + 3*t^8.13 + t^8.139 + t^8.148 + t^8.158 + t^8.167 + 2*t^8.342 + t^8.352 + t^8.361 + t^8.449 - t^8.458 - 2*t^8.468 + 2*t^8.556 + t^8.565 - t^8.574 + t^8.768 + t^8.778 + t^8.787 + t^8.875 + 3*t^8.884 + 2*t^8.981 + 2*t^8.991 - t^4.5/y - t^6.532/y + t^7.074/y + t^7.491/y + t^7.5/y + t^8.032/y + (3*t^8.458)/y + (2*t^8.468)/y + t^8.574/y + (3*t^8.884)/y + (2*t^8.893)/y + (2*t^8.991)/y - t^4.5*y - t^6.532*y + t^7.074*y + t^7.491*y + t^7.5*y + t^8.032*y + 3*t^8.458*y + 2*t^8.468*y + t^8.574*y + 3*t^8.884*y + 2*t^8.893*y + 2*t^8.991*y	g1*t^2.032 + g1*g2*t^2.458 + t^2.468/g1 + t^3. + 2*g2*t^3.426 + g1*t^3.532 + t^3.542/(g1*g2) + g2^2*t^3.852 + g1*g2*t^3.958 + 2*g1^2*t^4.065 + t^4.074/g2 + t^4.083/(g1^2*g2^2) + g1^2*g2*t^4.491 + t^4.5 + g1^2*g2^2*t^4.917 + g2*t^4.926 + t^4.935/g1^2 + g1*t^5.032 + 3*g1*g2*t^5.458 + t^5.468/g1 + g1^2*t^5.565 + t^5.574/g2 + 2*g1*g2^2*t^5.884 + (g2*t^5.893)/g1 + g1^2*g2*t^5.991 - t^6. + 2*g1^3*t^6.097 + g1*g2^3*t^6.31 + (g2^2*t^6.319)/g1 + g1^2*g2^2*t^6.417 + g2*t^6.426 + 2*g1^3*g2*t^6.523 + 2*g1*t^6.532 + t^6.542/(g1*g2) + t^6.551/(g1^3*g2^2) + 3*g2^2*t^6.852 + g1^3*g2^2*t^6.949 + 2*g1*g2*t^6.958 + t^6.968/g1 + 2*g1^2*t^7.065 + t^7.083/(g1^2*g2^2) + 2*g2^3*t^7.278 + g1^3*g2^3*t^7.375 + 2*g1*g2^2*t^7.384 + t^7.403/g1^3 + 4*g1^2*g2*t^7.491 + 2*g1^3*t^7.597 + (g1*t^7.607)/g2 + t^7.625/(g1^3*g2^3) + g2^4*t^7.703 + g1*g2^3*t^7.81 + 4*g1^2*g2^2*t^7.917 + g2*t^7.926 + t^7.935/g1^2 + 2*g1^3*g2*t^8.023 - 2*g1*t^8.032 - t^8.042/(g1*g2) + 3*g1^4*t^8.13 + (g1^2*t^8.139)/g2 + t^8.148/g2^2 + t^8.158/(g1^2*g2^3) + t^8.167/(g1^4*g2^4) + 2*g1^2*g2^3*t^8.342 + g2^2*t^8.352 + (g2*t^8.361)/g1^2 + g1^3*g2^2*t^8.449 - g1*g2*t^8.458 - (2*t^8.468)/g1 + 2*g1^4*g2*t^8.556 + g1^2*t^8.565 - t^8.574/g2 + g1^2*g2^4*t^8.768 + g2^3*t^8.778 + (g2^2*t^8.787)/g1^2 + g1^3*g2^3*t^8.875 + 3*g1*g2^2*t^8.884 + 2*g1^4*g2^2*t^8.981 + 2*g1^2*g2*t^8.991 - t^4.5/y - (g1*t^6.532)/y + t^7.074/(g2*y) + (g1^2*g2*t^7.491)/y + t^7.5/y + (g1*t^8.032)/y + (3*g1*g2*t^8.458)/y + (2*t^8.468)/(g1*y) + t^8.574/(g2*y) + (3*g1*g2^2*t^8.884)/y + (2*g2*t^8.893)/(g1*y) + (2*g1^2*g2*t^8.991)/y - t^4.5*y - g1*t^6.532*y + (t^7.074*y)/g2 + g1^2*g2*t^7.491*y + t^7.5*y + g1*t^8.032*y + 3*g1*g2*t^8.458*y + (2*t^8.468*y)/g1 + (t^8.574*y)/g2 + 3*g1*g2^2*t^8.884*y + (2*g2*t^8.893*y)/g1 + 2*g1^2*g2*t^8.991*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
164	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6363	0.8037	0.7917	[M:[1.1421, 0.679], q:[0.75, 0.429], qb:[0.429, 0.3921], phi:[0.5]]	t^2.037 + 2*t^2.463 + t^3. + 2*t^3.426 + 2*t^3.537 + t^3.853 + t^3.963 + 4*t^4.074 + 2*t^4.5 + 3*t^4.926 + t^5.037 + 4*t^5.463 + 2*t^5.574 + 3*t^5.889 - t^4.5/y - t^4.5*y	detail
163	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$	0.6356	0.8019	0.7926	[M:[1.1615, 0.6769], q:[0.75, 0.4115], qb:[0.4269, 0.4115], phi:[0.5]]	t^2.031 + t^2.469 + t^2.515 + t^3. + 3*t^3.485 + t^3.531 + 2*t^3.969 + 2*t^4.015 + 2*t^4.062 + t^4.5 + t^4.546 + t^4.938 + t^4.985 + 2*t^5.031 + t^5.469 + 4*t^5.515 + t^5.562 + t^5.954 + t^6. - t^4.5/y - t^4.5*y	detail
1713	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$	0.6276	0.7929	0.7915	[M:[1.105, 0.75], q:[0.75, 0.395], qb:[0.5, 0.355], phi:[0.5]]	2*t^2.25 + t^2.565 + t^3. + 2*t^3.315 + t^3.435 + t^3.63 + t^3.75 + t^3.87 + t^4.065 + t^4.185 + 4*t^4.5 + 2*t^4.815 + t^5.13 + 2*t^5.25 + 4*t^5.565 + t^5.685 + 3*t^5.88 - t^4.5/y - t^4.5*y	detail
166	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6571	0.8446	0.778	[M:[1.1432, 0.6784, 0.6784], q:[0.75, 0.4284], qb:[0.4284, 0.3932], phi:[0.5]]	2*t^2.035 + 2*t^2.465 + t^3. + 2*t^3.43 + 2*t^3.535 + t^3.859 + 6*t^4.07 + 4*t^4.5 + 3*t^4.93 + 2*t^5.035 + 6*t^5.465 + 4*t^5.57 + 4*t^5.894 - 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
64	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$	0.6155	0.7629	0.8067	[M:[1.1409], q:[0.75, 0.4296], qb:[0.4296, 0.3909], phi:[0.5]]	2*t^2.461 + t^3. + 2*t^3.423 + 2*t^3.539 + t^3.845 + 2*t^3.961 + 3*t^4.077 + 3*t^4.923 + 2*t^5.461 + 2*t^5.884 - t^6. - t^4.5/y - t^4.5*y	detail