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
46707	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.6498	0.8307	0.7823	[M:[1.1431, 0.75, 0.8569, 0.8569], q:[0.75, 0.3569], qb:[0.3931, 0.5], phi:[0.5]]	[M:[[1], [0], [-1], [-1]], q:[[0], [-1]], qb:[[1], [0]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$	${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	0	2*t^2.25 + 2*t^2.571 + t^2.679 + t^3. + t^3.321 + t^3.641 + t^3.75 + t^3.859 + t^4.071 + t^4.179 + 4*t^4.5 + 4*t^4.821 + 2*t^4.929 + 3*t^5.141 + 4*t^5.25 + t^5.359 + 3*t^5.571 + 3*t^5.891 + t^6.109 + 2*t^6.212 + 3*t^6.321 + 2*t^6.429 + t^6.538 + 3*t^6.641 + 6*t^6.75 + t^6.859 + t^6.962 + 6*t^7.071 + 2*t^7.179 + t^7.282 + 6*t^7.391 + 5*t^7.5 + t^7.609 + 5*t^7.712 + t^7.718 + 7*t^7.821 + 2*t^8.038 + 7*t^8.141 - 2*t^8.25 + 2*t^8.359 + 5*t^8.462 - t^8.679 + 3*t^8.782 + t^8.788 + 5*t^8.891 - t^4.5/y - t^6.75/y - t^7.071/y + t^7.5/y + (4*t^7.821)/y + (3*t^7.929)/y + t^8.141/y + (5*t^8.25)/y + (4*t^8.571)/y + t^8.679/y + (4*t^8.891)/y - t^4.5*y - t^6.75*y - t^7.071*y + t^7.5*y + 4*t^7.821*y + 3*t^7.929*y + t^8.141*y + 5*t^8.25*y + 4*t^8.571*y + t^8.679*y + 4*t^8.891*y	2*t^2.25 + (2*t^2.571)/g1 + g1*t^2.679 + t^3. + t^3.321/g1 + t^3.641/g1^2 + t^3.75 + g1^2*t^3.859 + t^4.071/g1 + g1*t^4.179 + 4*t^4.5 + (4*t^4.821)/g1 + 2*g1*t^4.929 + (3*t^5.141)/g1^2 + 4*t^5.25 + g1^2*t^5.359 + (3*t^5.571)/g1 + (3*t^5.891)/g1^2 + g1^2*t^6.109 + (2*t^6.212)/g1^3 + (3*t^6.321)/g1 + 2*g1*t^6.429 + g1^3*t^6.538 + (3*t^6.641)/g1^2 + 6*t^6.75 + g1^2*t^6.859 + t^6.962/g1^3 + (6*t^7.071)/g1 + 2*g1*t^7.179 + t^7.282/g1^4 + (6*t^7.391)/g1^2 + 5*t^7.5 + g1^2*t^7.609 + (5*t^7.712)/g1^3 + g1^4*t^7.718 + (7*t^7.821)/g1 + 2*g1^3*t^8.038 + (7*t^8.141)/g1^2 - 2*t^8.25 + 2*g1^2*t^8.359 + (5*t^8.462)/g1^3 - g1*t^8.679 + (3*t^8.782)/g1^4 + g1^3*t^8.788 + (5*t^8.891)/g1^2 - t^4.5/y - t^6.75/y - t^7.071/(g1*y) + t^7.5/y + (4*t^7.821)/(g1*y) + (3*g1*t^7.929)/y + t^8.141/(g1^2*y) + (5*t^8.25)/y + (4*t^8.571)/(g1*y) + (g1*t^8.679)/y + (4*t^8.891)/(g1^2*y) - t^4.5*y - t^6.75*y - (t^7.071*y)/g1 + t^7.5*y + (4*t^7.821*y)/g1 + 3*g1*t^7.929*y + (t^8.141*y)/g1^2 + 5*t^8.25*y + (4*t^8.571*y)/g1 + g1*t^8.679*y + (4*t^8.891*y)/g1^2

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
48136	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$	0.6703	0.8704	0.7701	[M:[1.1508, 0.75, 0.8492, 0.8492, 0.6985], q:[0.75, 0.3492], qb:[0.4008, 0.5], phi:[0.5]]	t^2.095 + 2*t^2.25 + 2*t^2.548 + t^2.702 + t^3. + t^3.298 + t^3.595 + t^3.75 + t^4.048 + t^4.191 + t^4.202 + 2*t^4.345 + 4*t^4.5 + 2*t^4.643 + 5*t^4.798 + 2*t^4.952 + 4*t^5.095 + 4*t^5.25 + t^5.393 + t^5.405 + 3*t^5.548 + t^5.691 + 4*t^5.845 - t^4.5/y - t^4.5*y	detail
46956	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$	0.6603	0.8478	0.7788	[M:[1.125, 0.75, 0.875, 0.875, 0.875], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]]	2*t^2.25 + 4*t^2.625 + t^3. + 3*t^3.75 + 2*t^4.125 + 4*t^4.5 + 8*t^4.875 + 12*t^5.25 + 2*t^5.625 + t^6. - t^4.5/y - t^4.5*y	detail	{a: 5409/8192, c: 6945/8192, M1: 9/8, M2: 3/4, M3: 7/8, M4: 7/8, M5: 7/8, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2}
47084	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6689	0.8653	0.773	[M:[1.1431, 0.75, 0.8569, 0.8569, 0.75], q:[0.75, 0.3569], qb:[0.3931, 0.5], phi:[0.5]]	3*t^2.25 + 2*t^2.571 + t^2.679 + t^3. + t^3.321 + t^3.641 + t^3.859 + t^4.071 + t^4.179 + 7*t^4.5 + 6*t^4.821 + 3*t^4.929 + 3*t^5.141 + 5*t^5.25 + t^5.359 + 4*t^5.571 + 4*t^5.891 - 2*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
46334	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$	0.6379	0.8098	0.7878	[M:[1.125, 0.75, 0.875], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]]	2*t^2.25 + 2*t^2.625 + t^3. + 2*t^3.375 + 3*t^3.75 + 2*t^4.125 + 4*t^4.5 + 4*t^4.875 + 5*t^5.25 + 4*t^5.625 + 5*t^6. - t^4.5/y - t^4.5*y	detail	{a: 2613/4096, c: 3317/4096, M1: 9/8, M2: 3/4, M3: 7/8, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2}