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
1810	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$	0.6642	0.8511	0.7804	[M:[0.83, 1.17, 0.83, 0.6801], q:[0.75, 0.42], qb:[0.41, 0.42], phi:[0.5]]	[M:[[-1], [1], [-1], [4]], q:[[0], [1]], qb:[[-2], [1]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$	${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	-1	t^2.04 + 3*t^2.49 + t^2.52 + t^3. + t^3.48 + t^3.51 + 2*t^3.99 + 3*t^4.02 + t^4.081 + 3*t^4.53 + t^4.56 + 6*t^4.98 + 3*t^5.01 + 2*t^5.04 + 3*t^5.49 + 2*t^5.52 + t^5.55 + t^5.97 - t^6. + t^6.03 + 3*t^6.06 + t^6.121 + 5*t^6.48 + 8*t^6.51 + 3*t^6.54 + 3*t^6.57 + t^6.601 - t^6.99 + 6*t^7.02 + 3*t^7.05 + 2*t^7.081 + 8*t^7.47 + 3*t^7.5 + 5*t^7.53 + 3*t^7.56 + t^7.591 + 5*t^7.98 + 6*t^8.01 + 5*t^8.04 + t^8.07 + 3*t^8.101 + t^8.161 - 8*t^8.49 - 2*t^8.52 + 7*t^8.55 + 3*t^8.581 + 3*t^8.611 + t^8.641 + 7*t^8.97 - t^4.5/y - t^6.54/y - t^6.99/y + (3*t^7.53)/y + t^7.56/y + (3*t^7.98)/y + (4*t^8.01)/y + t^8.04/y + t^8.46/y + (3*t^8.49)/y + (2*t^8.52)/y + t^8.55/y - t^8.581/y + (3*t^8.97)/y - t^4.5*y - t^6.54*y - t^6.99*y + 3*t^7.53*y + t^7.56*y + 3*t^7.98*y + 4*t^8.01*y + t^8.04*y + t^8.46*y + 3*t^8.49*y + 2*t^8.52*y + t^8.55*y - t^8.581*y + 3*t^8.97*y	g1^4*t^2.04 + (3*t^2.49)/g1 + g1^2*t^2.52 + t^3. + t^3.48/g1^2 + g1*t^3.51 + (2*t^3.99)/g1 + 3*g1^2*t^4.02 + g1^8*t^4.081 + 3*g1^3*t^4.53 + g1^6*t^4.56 + (6*t^4.98)/g1^2 + 3*g1*t^5.01 + 2*g1^4*t^5.04 + (3*t^5.49)/g1 + 2*g1^2*t^5.52 + g1^5*t^5.55 + t^5.97/g1^3 - t^6. + g1^3*t^6.03 + 3*g1^6*t^6.06 + g1^12*t^6.121 + (5*t^6.48)/g1^2 + 8*g1*t^6.51 + 3*g1^4*t^6.54 + 3*g1^7*t^6.57 + g1^10*t^6.601 - t^6.99/g1 + 6*g1^2*t^7.02 + 3*g1^5*t^7.05 + 2*g1^8*t^7.081 + (8*t^7.47)/g1^3 + 3*t^7.5 + 5*g1^3*t^7.53 + 3*g1^6*t^7.56 + g1^9*t^7.591 + (5*t^7.98)/g1^2 + 6*g1*t^8.01 + 5*g1^4*t^8.04 + g1^7*t^8.07 + 3*g1^10*t^8.101 + g1^16*t^8.161 - (8*t^8.49)/g1 - 2*g1^2*t^8.52 + 7*g1^5*t^8.55 + 3*g1^8*t^8.581 + 3*g1^11*t^8.611 + g1^14*t^8.641 + (7*t^8.97)/g1^3 - t^4.5/y - (g1^4*t^6.54)/y - t^6.99/(g1*y) + (3*g1^3*t^7.53)/y + (g1^6*t^7.56)/y + (3*t^7.98)/(g1^2*y) + (4*g1*t^8.01)/y + (g1^4*t^8.04)/y + t^8.46/(g1^4*y) + (3*t^8.49)/(g1*y) + (2*g1^2*t^8.52)/y + (g1^5*t^8.55)/y - (g1^8*t^8.581)/y + (3*t^8.97)/(g1^3*y) - t^4.5*y - g1^4*t^6.54*y - (t^6.99*y)/g1 + 3*g1^3*t^7.53*y + g1^6*t^7.56*y + (3*t^7.98*y)/g1^2 + 4*g1*t^8.01*y + g1^4*t^8.04*y + (t^8.46*y)/g1^4 + (3*t^8.49*y)/g1 + 2*g1^2*t^8.52*y + g1^5*t^8.55*y - g1^8*t^8.581*y + (3*t^8.97*y)/g1^3

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
2824	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6552	0.8365	0.7833	[M:[0.8, 1.2, 0.8, 0.8], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]]	4*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + 2*t^3.9 + 3*t^4.2 + 10*t^4.8 + 4*t^5.1 + 5*t^5.4 + 3*t^5.7 - t^4.5/y - t^4.5*y	detail	{a: 20967/32000, c: 26767/32000, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2}
2826	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6789	0.8759	0.775	[M:[0.8267, 1.1733, 0.8267, 0.6933, 0.8267], q:[0.75, 0.4233], qb:[0.4033, 0.4233], phi:[0.5]]	t^2.08 + 4*t^2.48 + t^2.54 + t^3. + t^3.46 + 2*t^3.98 + 3*t^4.04 + t^4.16 + 4*t^4.56 + t^4.62 + 10*t^4.96 + 4*t^5.02 + 2*t^5.08 + 4*t^5.48 + 2*t^5.54 + 2*t^5.94 - 4*t^6. - t^4.5/y - t^4.5*y	detail	{a: 325849/480000, c: 420449/480000, M1: 62/75, M2: 88/75, M3: 62/75, M4: 52/75, M5: 62/75, q1: 3/4, q2: 127/300, qb1: 121/300, qb2: 127/300, phi1: 1/2}

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
358	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$	0.6648	0.8527	0.7796	[M:[0.8137, 1.1863, 0.8137, 0.6793], q:[0.75, 0.4363], qb:[0.4103, 0.4034], phi:[0.5]]	t^2.038 + 2*t^2.441 + t^2.519 + t^2.54 + t^3. + t^3.46 + t^3.481 + t^3.92 + t^3.941 + t^4.019 + t^4.04 + t^4.076 + t^4.118 + 2*t^4.479 + t^4.557 + t^4.578 + 3*t^4.882 + 2*t^4.96 + 2*t^4.981 + 2*t^5.038 + t^5.059 + t^5.08 + 2*t^5.441 + t^5.498 + 2*t^5.519 + t^5.54 + t^5.901 + t^5.922 + t^5.958 + t^5.979 - t^6. - t^4.5/y - t^4.5*y	detail