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
2814	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6438	0.846	0.761	[M:[0.9915, 1.0254, 0.7394, 0.7563, 0.7733], q:[0.7479, 0.2606], qb:[0.4958, 0.4789], phi:[0.5042]]	[M:[[4], [-12], [5], [-3], [-11]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$	${}q_{1}q_{2}\tilde{q}_{1}^{2}$	-1	2*t^2.218 + 2*t^2.269 + t^2.32 + t^2.975 + t^3.025 + 2*t^3.076 + t^3.731 + t^4.386 + 4*t^4.437 + 5*t^4.487 + 5*t^4.538 + 2*t^4.589 + t^4.64 + 2*t^5.193 + 4*t^5.244 + 6*t^5.294 + 4*t^5.345 + 2*t^5.396 + t^5.949 - t^6. + t^6.051 + 2*t^6.102 + 3*t^6.152 + 2*t^6.604 + 6*t^6.655 + 8*t^6.706 + 9*t^6.756 + 8*t^6.807 + 4*t^6.858 + 2*t^6.909 + t^6.959 + 3*t^7.411 + 6*t^7.462 + 11*t^7.513 + 11*t^7.563 + 10*t^7.614 + 4*t^7.665 + 2*t^7.716 - 2*t^8.168 - 6*t^8.218 - 3*t^8.269 + t^8.32 + 8*t^8.371 + 6*t^8.421 + 3*t^8.472 + t^8.772 + 4*t^8.822 + 9*t^8.873 + 10*t^8.924 + 8*t^8.975 - t^4.513/y - t^6.731/y - t^6.782/y - t^6.832/y + (2*t^7.437)/y + (4*t^7.487)/y + (3*t^7.538)/y + t^7.589/y + (3*t^8.193)/y + (5*t^8.244)/y + (8*t^8.294)/y + (5*t^8.345)/y + (2*t^8.396)/y + t^8.949/y - t^4.513*y - t^6.731*y - t^6.782*y - t^6.832*y + 2*t^7.437*y + 4*t^7.487*y + 3*t^7.538*y + t^7.589*y + 3*t^8.193*y + 5*t^8.244*y + 8*t^8.294*y + 5*t^8.345*y + 2*t^8.396*y + t^8.949*y	2*g1^5*t^2.218 + (2*t^2.269)/g1^3 + t^2.32/g1^11 + g1^4*t^2.975 + t^3.025/g1^4 + (2*t^3.076)/g1^12 + g1^3*t^3.731 + g1^18*t^4.386 + 4*g1^10*t^4.437 + 5*g1^2*t^4.487 + (5*t^4.538)/g1^6 + (2*t^4.589)/g1^14 + t^4.64/g1^22 + 2*g1^9*t^5.193 + 4*g1*t^5.244 + (6*t^5.294)/g1^7 + (4*t^5.345)/g1^15 + (2*t^5.396)/g1^23 + g1^8*t^5.949 - t^6. + t^6.051/g1^8 + (2*t^6.102)/g1^16 + (3*t^6.152)/g1^24 + 2*g1^23*t^6.604 + 6*g1^15*t^6.655 + 8*g1^7*t^6.706 + (9*t^6.756)/g1 + (8*t^6.807)/g1^9 + (4*t^6.858)/g1^17 + (2*t^6.909)/g1^25 + t^6.959/g1^33 + 3*g1^14*t^7.411 + 6*g1^6*t^7.462 + (11*t^7.513)/g1^2 + (11*t^7.563)/g1^10 + (10*t^7.614)/g1^18 + (4*t^7.665)/g1^26 + (2*t^7.716)/g1^34 - 2*g1^13*t^8.168 - 6*g1^5*t^8.218 - (3*t^8.269)/g1^3 + t^8.32/g1^11 + (8*t^8.371)/g1^19 + (6*t^8.421)/g1^27 + (3*t^8.472)/g1^35 + g1^36*t^8.772 + 4*g1^28*t^8.822 + 9*g1^20*t^8.873 + 10*g1^12*t^8.924 + 8*g1^4*t^8.975 - t^4.513/(g1^2*y) - (g1^3*t^6.731)/y - t^6.782/(g1^5*y) - t^6.832/(g1^13*y) + (2*g1^10*t^7.437)/y + (4*g1^2*t^7.487)/y + (3*t^7.538)/(g1^6*y) + t^7.589/(g1^14*y) + (3*g1^9*t^8.193)/y + (5*g1*t^8.244)/y + (8*t^8.294)/(g1^7*y) + (5*t^8.345)/(g1^15*y) + (2*t^8.396)/(g1^23*y) + (g1^8*t^8.949)/y - (t^4.513*y)/g1^2 - g1^3*t^6.731*y - (t^6.782*y)/g1^5 - (t^6.832*y)/g1^13 + 2*g1^10*t^7.437*y + 4*g1^2*t^7.487*y + (3*t^7.538*y)/g1^6 + (t^7.589*y)/g1^14 + 3*g1^9*t^8.193*y + 5*g1*t^8.244*y + (8*t^8.294*y)/g1^7 + (5*t^8.345*y)/g1^15 + (2*t^8.396*y)/g1^23 + g1^8*t^8.949*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
3344	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	0.6321	0.8304	0.7611	[M:[0.9565, 1.1304, 0.6957, 0.7826, 0.8696], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]]	2*t^2.087 + 2*t^2.348 + t^2.609 + t^2.87 + t^3.13 + 2*t^3.391 + t^3.652 + t^3.913 + 4*t^4.174 + 5*t^4.435 + 5*t^4.696 + 4*t^4.957 + 5*t^5.217 + 6*t^5.478 + 5*t^5.739 + 3*t^6. - t^4.565/y - t^4.565*y	detail	{a: 123045/194672, c: 80831/97336, M1: 22/23, M2: 26/23, M3: 16/23, M4: 18/23, M5: 20/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23}

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
1800	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.6264	0.8149	0.7686	[M:[0.9832, 1.0505, 0.729, 0.7626], q:[0.7458, 0.271], qb:[0.4916, 0.4579], phi:[0.5084]]	2*t^2.187 + 2*t^2.288 + t^2.95 + t^3.05 + 2*t^3.151 + t^3.611 + t^3.712 + t^4.273 + 4*t^4.374 + 5*t^4.475 + 3*t^4.576 + 2*t^5.136 + 4*t^5.237 + 5*t^5.338 + 3*t^5.439 + 2*t^5.798 + 3*t^5.899 - t^6. - t^4.525/y - t^4.525*y	detail