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
642	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{2}M_{5}$	0.6438	0.8203	0.7848	[M:[1.2163, 1.1082, 0.6755, 0.7837, 0.8918], q:[0.75, 0.4255], qb:[0.3582, 0.4663], phi:[0.5]]	[M:[[2], [1], [-3], [-2], [-1]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$	${}M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$	1	t^2.026 + t^2.351 + t^2.474 + t^2.675 + t^3. + t^3.325 + t^3.526 + 2*t^3.649 + t^3.851 + 2*t^4.053 + t^4.175 + t^4.298 + t^4.377 + t^4.5 + 2*t^4.702 + t^4.825 + t^4.947 + 2*t^5.026 + t^5.149 + 3*t^5.351 + t^5.474 + t^5.553 + 3*t^5.675 + t^5.877 + t^6. + 2*t^6.079 + t^6.123 + 2*t^6.202 + 2*t^6.325 + 2*t^6.404 + 3*t^6.526 + 2*t^6.649 + 3*t^6.728 + t^6.772 + 2*t^6.851 + 2*t^6.974 + 4*t^7.053 + 2*t^7.175 + 2*t^7.298 + 4*t^7.377 + t^7.421 + t^7.5 + 2*t^7.579 + 6*t^7.702 + t^7.825 + 2*t^7.904 + 2*t^7.947 + 2*t^8.026 + 3*t^8.106 + 3*t^8.228 + 3*t^8.351 + 2*t^8.43 + 3*t^8.553 + 2*t^8.596 + 4*t^8.755 + 3*t^8.877 - t^4.5/y - t^6.526/y + t^7.377/y + t^7.5/y + t^7.702/y + t^7.825/y + (2*t^8.026)/y + t^8.149/y + (2*t^8.351)/y + (2*t^8.474)/y + (4*t^8.675)/y + t^8.798/y + (2*t^8.877)/y - t^4.5*y - t^6.526*y + t^7.377*y + t^7.5*y + t^7.702*y + t^7.825*y + 2*t^8.026*y + t^8.149*y + 2*t^8.351*y + 2*t^8.474*y + 4*t^8.675*y + t^8.798*y + 2*t^8.877*y	t^2.026/g1^3 + t^2.351/g1^2 + g1^3*t^2.474 + t^2.675/g1 + t^3. + g1*t^3.325 + t^3.526/g1^3 + 2*g1^2*t^3.649 + t^3.851/g1^2 + (2*t^4.053)/g1^6 + t^4.175/g1 + g1^4*t^4.298 + t^4.377/g1^5 + t^4.5 + (2*t^4.702)/g1^4 + g1*t^4.825 + g1^6*t^4.947 + (2*t^5.026)/g1^3 + g1^2*t^5.149 + (3*t^5.351)/g1^2 + g1^3*t^5.474 + t^5.553/g1^6 + (3*t^5.675)/g1 + t^5.877/g1^5 + t^6. + (2*t^6.079)/g1^9 + g1^5*t^6.123 + (2*t^6.202)/g1^4 + 2*g1*t^6.325 + (2*t^6.404)/g1^8 + (3*t^6.526)/g1^3 + 2*g1^2*t^6.649 + (3*t^6.728)/g1^7 + g1^7*t^6.772 + (2*t^6.851)/g1^2 + 2*g1^3*t^6.974 + (4*t^7.053)/g1^6 + (2*t^7.175)/g1 + 2*g1^4*t^7.298 + (4*t^7.377)/g1^5 + g1^9*t^7.421 + t^7.5 + (2*t^7.579)/g1^9 + (6*t^7.702)/g1^4 + g1*t^7.825 + (2*t^7.904)/g1^8 + 2*g1^6*t^7.947 + (2*t^8.026)/g1^3 + (3*t^8.106)/g1^12 + (3*t^8.228)/g1^7 + (3*t^8.351)/g1^2 + (2*t^8.43)/g1^11 + (3*t^8.553)/g1^6 + 2*g1^8*t^8.596 + (4*t^8.755)/g1^10 + (3*t^8.877)/g1^5 - t^4.5/y - t^6.526/(g1^3*y) + t^7.377/(g1^5*y) + t^7.5/y + t^7.702/(g1^4*y) + (g1*t^7.825)/y + (2*t^8.026)/(g1^3*y) + (g1^2*t^8.149)/y + (2*t^8.351)/(g1^2*y) + (2*g1^3*t^8.474)/y + (4*t^8.675)/(g1*y) + (g1^4*t^8.798)/y + (2*t^8.877)/(g1^5*y) - t^4.5*y - (t^6.526*y)/g1^3 + (t^7.377*y)/g1^5 + t^7.5*y + (t^7.702*y)/g1^4 + g1*t^7.825*y + (2*t^8.026*y)/g1^3 + g1^2*t^8.149*y + (2*t^8.351*y)/g1^2 + 2*g1^3*t^8.474*y + (4*t^8.675*y)/g1 + g1^4*t^8.798*y + (2*t^8.877*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
1959	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}q_{1}q_{2}$	0.6343	0.8062	0.7868	[M:[1.1667, 1.0833, 0.75, 0.8333, 0.9167], q:[0.75, 0.5], qb:[0.3333, 0.4167], phi:[0.5]]	2*t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 2*t^4.75 + 3*t^5. + 3*t^5.25 + 3*t^5.5 + 4*t^5.75 + 2*t^6. - t^4.5/y - t^4.5*y	detail	{a: 1299/2048, c: 1651/2048, M1: 7/6, M2: 13/12, M3: 3/4, M4: 5/6, M5: 11/12, q1: 3/4, q2: 1/2, qb1: 1/3, qb2: 5/12, phi1: 1/2}
1963	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}q_{2}$	0.6593	0.8468	0.7786	[M:[1.2045, 1.1022, 0.6933, 0.7955, 0.8978, 0.8067], q:[0.75, 0.4433], qb:[0.3522, 0.4545], phi:[0.5]]	t^2.08 + t^2.387 + 2*t^2.42 + t^2.693 + t^3. + t^3.307 + 2*t^3.613 + t^3.887 + 2*t^4.16 + t^4.193 + t^4.227 + t^4.466 + 2*t^4.5 + 2*t^4.773 + 2*t^4.807 + 3*t^4.84 + 2*t^5.08 + 2*t^5.113 + 3*t^5.387 + 2*t^5.42 + 3*t^5.693 + t^5.727 - 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
398	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$	0.6341	0.8036	0.7891	[M:[1.211, 1.1055, 0.6835, 0.789], q:[0.75, 0.4335], qb:[0.3555, 0.461], phi:[0.5]]	t^2.05 + t^2.367 + t^2.45 + t^3. + 2*t^3.317 + t^3.55 + 2*t^3.633 + t^3.867 + 2*t^4.101 + t^4.183 + t^4.266 + t^4.417 + t^4.5 + t^4.734 + t^4.817 + t^4.899 + t^5.05 + 3*t^5.367 + t^5.45 + t^5.601 + 3*t^5.683 + t^5.766 + t^5.917 - t^4.5/y - t^4.5*y	detail