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
2802	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6252	0.8113	0.7706	[M:[0.989, 1.0331, 0.989, 0.7583, 0.7803], q:[0.7472, 0.2638], qb:[0.4724, 0.4945], phi:[0.5055]]	[M:[[4], [-12], [4], [-3], [-11]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$	${}q_{1}q_{2}\tilde{q}_{2}^{2}$	-1	t^2.209 + 2*t^2.275 + t^2.341 + 2*t^2.967 + 2*t^3.099 + t^3.725 + t^3.791 + t^4.351 + 2*t^4.417 + 3*t^4.483 + 4*t^4.55 + 2*t^4.616 + t^4.682 + 2*t^5.176 + 4*t^5.242 + 3*t^5.308 + 3*t^5.374 + 2*t^5.44 + 2*t^5.934 - t^6. + 4*t^6.066 + t^6.132 + 3*t^6.199 + t^6.56 + 2*t^6.626 + 4*t^6.692 + 5*t^6.758 + 6*t^6.824 + 5*t^6.891 + 2*t^6.957 + t^7.023 + t^7.318 + 2*t^7.384 + 3*t^7.45 + 7*t^7.517 + 6*t^7.583 + 7*t^7.649 + 3*t^7.715 + 2*t^7.781 - t^8.275 + 2*t^8.341 + 5*t^8.407 + 5*t^8.473 + 3*t^8.54 + t^8.702 + 2*t^8.768 + 3*t^8.835 + 4*t^8.901 - t^8.967 - t^4.517/y - t^6.791/y - t^6.858/y + t^7.417/y + t^7.483/y + (3*t^7.55)/y + t^7.616/y + (3*t^8.176)/y + (5*t^8.242)/y + (4*t^8.308)/y + (4*t^8.374)/y + (2*t^8.44)/y + (2*t^8.934)/y - t^4.517*y - t^6.791*y - t^6.858*y + t^7.417*y + t^7.483*y + 3*t^7.55*y + t^7.616*y + 3*t^8.176*y + 5*t^8.242*y + 4*t^8.308*y + 4*t^8.374*y + 2*t^8.44*y + 2*t^8.934*y	g1^5*t^2.209 + (2*t^2.275)/g1^3 + t^2.341/g1^11 + 2*g1^4*t^2.967 + (2*t^3.099)/g1^12 + g1^3*t^3.725 + t^3.791/g1^5 + g1^18*t^4.351 + 2*g1^10*t^4.417 + 3*g1^2*t^4.483 + (4*t^4.55)/g1^6 + (2*t^4.616)/g1^14 + t^4.682/g1^22 + 2*g1^9*t^5.176 + 4*g1*t^5.242 + (3*t^5.308)/g1^7 + (3*t^5.374)/g1^15 + (2*t^5.44)/g1^23 + 2*g1^8*t^5.934 - t^6. + (4*t^6.066)/g1^8 + t^6.132/g1^16 + (3*t^6.199)/g1^24 + g1^23*t^6.56 + 2*g1^15*t^6.626 + 4*g1^7*t^6.692 + (5*t^6.758)/g1 + (6*t^6.824)/g1^9 + (5*t^6.891)/g1^17 + (2*t^6.957)/g1^25 + t^7.023/g1^33 + g1^22*t^7.318 + 2*g1^14*t^7.384 + 3*g1^6*t^7.45 + (7*t^7.517)/g1^2 + (6*t^7.583)/g1^10 + (7*t^7.649)/g1^18 + (3*t^7.715)/g1^26 + (2*t^7.781)/g1^34 - t^8.275/g1^3 + (2*t^8.341)/g1^11 + (5*t^8.407)/g1^19 + (5*t^8.473)/g1^27 + (3*t^8.54)/g1^35 + g1^36*t^8.702 + 2*g1^28*t^8.768 + 3*g1^20*t^8.835 + 4*g1^12*t^8.901 - g1^4*t^8.967 - t^4.517/(g1^2*y) - t^6.791/(g1^5*y) - t^6.858/(g1^13*y) + (g1^10*t^7.417)/y + (g1^2*t^7.483)/y + (3*t^7.55)/(g1^6*y) + t^7.616/(g1^14*y) + (3*g1^9*t^8.176)/y + (5*g1*t^8.242)/y + (4*t^8.308)/(g1^7*y) + (4*t^8.374)/(g1^15*y) + (2*t^8.44)/(g1^23*y) + (2*g1^8*t^8.934)/y - (t^4.517*y)/g1^2 - (t^6.791*y)/g1^5 - (t^6.858*y)/g1^13 + g1^10*t^7.417*y + g1^2*t^7.483*y + (3*t^7.55*y)/g1^6 + (t^7.616*y)/g1^14 + 3*g1^9*t^8.176*y + 5*g1*t^8.242*y + (4*t^8.308*y)/g1^7 + (4*t^8.374*y)/g1^15 + (2*t^8.44*y)/g1^23 + 2*g1^8*t^8.934*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
3325	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$	0.6155	0.7976	0.7717	[M:[0.9565, 1.1304, 0.9565, 0.7826, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]]	t^2.087 + 2*t^2.348 + t^2.609 + 2*t^2.87 + 2*t^3.391 + t^3.652 + 2*t^3.913 + 2*t^4.174 + 3*t^4.435 + 4*t^4.696 + 4*t^4.957 + 5*t^5.217 + 3*t^5.478 + 5*t^5.739 + 2*t^6. - t^4.565/y - t^4.565*y	detail	{a: 119823/194672, c: 77633/97336, M1: 22/23, M2: 26/23, M3: 22/23, M4: 18/23, M5: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23}
3326	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6439	0.8454	0.7616	[M:[0.9907, 1.0278, 0.9907, 0.757, 0.7755, 0.757], q:[0.7477, 0.2616], qb:[0.4768, 0.4954], phi:[0.5046]]	t^2.215 + 3*t^2.271 + t^2.326 + 2*t^2.972 + 2*t^3.083 + t^3.785 + t^4.375 + 2*t^4.43 + 4*t^4.486 + 7*t^4.542 + 3*t^4.597 + t^4.653 + 2*t^5.187 + 6*t^5.243 + 3*t^5.299 + 5*t^5.354 + 2*t^5.41 + t^5.944 - 3*t^6. - t^4.514/y - t^4.514*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
1791	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6082	0.781	0.7787	[M:[0.9798, 1.0606, 0.9798, 0.7652], q:[0.7449, 0.2753], qb:[0.4495, 0.4899], phi:[0.5101]]	t^2.174 + 2*t^2.295 + 2*t^2.939 + 2*t^3.182 + t^3.583 + t^3.705 + t^3.826 + t^4.227 + 2*t^4.348 + 3*t^4.47 + 3*t^4.591 + 2*t^5.114 + 4*t^5.235 + t^5.356 + 3*t^5.477 + t^5.758 + 4*t^5.879 - t^6. - t^4.53/y - t^4.53*y	detail