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
2053	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.688	0.8991	0.7652	[M:[0.8113, 1.1887, 0.8113, 0.6887, 1.1225, 0.6887, 0.8113], q:[0.75, 0.4387], qb:[0.4387, 0.3725], phi:[0.5]]	[M:[[1, 1], [-1, -1], [1, 1], [-1, -1], [0, 1], [1, 0], [-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
${}M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{5}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$	${}$	-5	2*t^2.066 + 4*t^2.434 + t^3. + 2*t^3.368 + t^3.735 + 6*t^4.132 + 8*t^4.5 + 10*t^4.868 + 2*t^5.066 + 8*t^5.434 + 8*t^5.801 - 5*t^6. + 4*t^6.169 + 8*t^6.199 + 20*t^6.566 + 3*t^6.735 + 16*t^6.934 + 2*t^7.103 + 2*t^7.132 + 16*t^7.301 + t^7.47 + 12*t^7.5 - 4*t^7.699 + 24*t^7.868 - 14*t^8.066 + 20*t^8.235 + 15*t^8.265 - 20*t^8.434 + 10*t^8.603 + 24*t^8.632 + 4*t^8.801 - t^4.5/y - (2*t^6.566)/y - (2*t^6.934)/y + (2*t^7.132)/y + (8*t^7.5)/y + (5*t^7.868)/y + (4*t^8.066)/y + (10*t^8.434)/y - (3*t^8.632)/y + (10*t^8.801)/y - t^4.5*y - 2*t^6.566*y - 2*t^6.934*y + 2*t^7.132*y + 8*t^7.5*y + 5*t^7.868*y + 4*t^8.066*y + 10*t^8.434*y - 3*t^8.632*y + 10*t^8.801*y	g1*t^2.066 + t^2.066/(g1*g2) + (2*t^2.434)/g1 + 2*g1*g2*t^2.434 + t^3. + 2*g2*t^3.368 + g2^2*t^3.735 + 2*g1^2*t^4.132 + (2*t^4.132)/(g1^2*g2^2) + (2*t^4.132)/g2 + 4*t^4.5 + (2*t^4.5)/(g1^2*g2) + 2*g1^2*g2*t^4.5 + (3*t^4.868)/g1^2 + 4*g2*t^4.868 + 3*g1^2*g2^2*t^4.868 + g1*t^5.066 + t^5.066/(g1*g2) + (4*t^5.434)/g1 + 4*g1*g2*t^5.434 + (4*g2*t^5.801)/g1 + 4*g1*g2^2*t^5.801 - 3*t^6. - t^6./(g1^2*g2) - g1^2*g2*t^6. + (2*g2^2*t^6.169)/g1 + 2*g1*g2^3*t^6.169 + 2*g1^3*t^6.199 + (2*t^6.199)/(g1^3*g2^3) + (2*t^6.199)/(g1*g2^2) + (2*g1*t^6.199)/g2 + 6*g1*t^6.566 + (4*t^6.566)/(g1^3*g2^2) + (6*t^6.566)/(g1*g2) + 4*g1^3*g2*t^6.566 + 3*g2^2*t^6.735 + (5*t^6.934)/g1 + (3*t^6.934)/(g1^3*g2) + 5*g1*g2*t^6.934 + 3*g1^3*g2^2*t^6.934 + 2*g2^3*t^7.103 + g1^2*t^7.132 + t^7.132/(g1^2*g2^2) + (4*t^7.301)/g1^3 + (4*g2*t^7.301)/g1 + 4*g1*g2^2*t^7.301 + 4*g1^3*g2^3*t^7.301 + g2^4*t^7.47 + 4*t^7.5 + (4*t^7.5)/(g1^2*g2) + 4*g1^2*g2*t^7.5 - (2*t^7.699)/(g1*g2^2) - (2*g1*t^7.699)/g2 + (7*t^7.868)/g1^2 + 10*g2*t^7.868 + 7*g1^2*g2^2*t^7.868 - 6*g1*t^8.066 - t^8.066/(g1^3*g2^2) - (6*t^8.066)/(g1*g2) - g1^3*g2*t^8.066 + (6*g2*t^8.235)/g1^2 + 8*g2^2*t^8.235 + 6*g1^2*g2^3*t^8.235 + 3*g1^4*t^8.265 + (3*t^8.265)/(g1^4*g2^4) + (3*t^8.265)/(g1^2*g2^3) + (3*t^8.265)/g2^2 + (3*g1^2*t^8.265)/g2 - (8*t^8.434)/g1 - (2*t^8.434)/(g1^3*g2) - 8*g1*g2*t^8.434 - 2*g1^3*g2^2*t^8.434 + (3*g2^2*t^8.603)/g1^2 + 4*g2^3*t^8.603 + 3*g1^2*g2^4*t^8.603 + 6*g1^2*t^8.632 + (4*t^8.632)/(g1^4*g2^3) + (6*t^8.632)/(g1^2*g2^2) + (4*t^8.632)/g2 + 4*g1^4*g2*t^8.632 + (2*g2*t^8.801)/g1 + 2*g1*g2^2*t^8.801 - t^4.5/y - (g1*t^6.566)/y - t^6.566/(g1*g2*y) - t^6.934/(g1*y) - (g1*g2*t^6.934)/y + (2*t^7.132)/(g2*y) + (4*t^7.5)/y + (2*t^7.5)/(g1^2*g2*y) + (2*g1^2*g2*t^7.5)/y + t^7.868/(g1^2*y) + (3*g2*t^7.868)/y + (g1^2*g2^2*t^7.868)/y + (2*g1*t^8.066)/y + (2*t^8.066)/(g1*g2*y) + (5*t^8.434)/(g1*y) + (5*g1*g2*t^8.434)/y - (g1^2*t^8.632)/y - t^8.632/(g1^2*g2^2*y) - t^8.632/(g2*y) + (5*g2*t^8.801)/(g1*y) + (5*g1*g2^2*t^8.801)/y - t^4.5*y - g1*t^6.566*y - (t^6.566*y)/(g1*g2) - (t^6.934*y)/g1 - g1*g2*t^6.934*y + (2*t^7.132*y)/g2 + 4*t^7.5*y + (2*t^7.5*y)/(g1^2*g2) + 2*g1^2*g2*t^7.5*y + (t^7.868*y)/g1^2 + 3*g2*t^7.868*y + g1^2*g2^2*t^7.868*y + 2*g1*t^8.066*y + (2*t^8.066*y)/(g1*g2) + (5*t^8.434*y)/g1 + 5*g1*g2*t^8.434*y - g1^2*t^8.632*y - (t^8.632*y)/(g1^2*g2^2) - (t^8.632*y)/g2 + (5*g2*t^8.801*y)/g1 + 5*g1*g2^2*t^8.801*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
3125	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$	0.7076	0.9351	0.7567	[M:[0.8199, 1.1801, 0.8199, 0.6801, 1.1397, 0.6801, 0.8199, 0.7206], q:[0.75, 0.4301], qb:[0.4301, 0.3897], phi:[0.5]]	2*t^2.04 + t^2.162 + 4*t^2.46 + t^3. + 2*t^3.419 + 6*t^4.081 + 2*t^4.202 + t^4.323 + 8*t^4.5 + 4*t^4.621 + 10*t^4.919 + 2*t^5.04 + t^5.162 + 8*t^5.46 + 2*t^5.581 + 6*t^5.879 - 5*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
887	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$	0.6728	0.8725	0.7711	[M:[0.804, 1.196, 0.804, 0.696, 1.1331, 0.6709], q:[0.75, 0.446], qb:[0.4209, 0.3831], phi:[0.5]]	t^2.013 + t^2.088 + 2*t^2.412 + t^2.487 + t^3. + 2*t^3.399 + t^3.513 + t^3.798 + 2*t^4.026 + 2*t^4.101 + 2*t^4.176 + 2*t^4.425 + 3*t^4.5 + t^4.575 + 3*t^4.824 + 2*t^4.899 + t^4.974 + t^5.013 + t^5.088 + 4*t^5.412 + 3*t^5.487 + t^5.526 + t^5.601 + 4*t^5.811 + 2*t^5.886 + t^5.925 - 2*t^6. - t^4.5/y - t^4.5*y	detail