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
2731	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$	0.6018	0.7728	0.7788	[M:[0.9477, 1.1568, 0.9477, 0.8432], q:[0.7369, 0.3153], qb:[0.4199, 0.4234], phi:[0.5261]]	[M:[[4], [-12], [4], [12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	0	t^2.206 + t^2.216 + t^2.53 + 2*t^2.843 + 2*t^3.47 + t^3.481 + t^3.784 + t^3.794 + t^4.098 + t^4.108 + t^4.119 + t^4.411 + t^4.422 + t^4.432 + t^4.735 + t^4.746 + 2*t^5.049 + 3*t^5.059 + 2*t^5.373 + t^5.676 + 4*t^5.686 + t^5.697 + t^6.011 + t^6.303 + 3*t^6.314 + 3*t^6.324 + t^6.335 + t^6.617 + 2*t^6.627 + 2*t^6.638 + 2*t^6.648 + 3*t^6.941 + 2*t^6.951 + 3*t^6.962 + 2*t^7.254 + 2*t^7.265 + 3*t^7.275 + t^7.568 + t^7.578 + 4*t^7.589 + t^7.599 + 2*t^7.881 + 2*t^7.892 + 5*t^7.902 + 2*t^7.913 + t^8.195 - t^8.206 + 2*t^8.216 + 2*t^8.227 + t^8.237 + t^8.509 + 3*t^8.53 + 3*t^8.54 + t^8.551 + t^8.822 - 3*t^8.843 + 2*t^8.854 + 2*t^8.864 - t^4.578/y + (2*t^7.735)/y + t^7.746/y + (2*t^8.049)/y + (2*t^8.059)/y + (2*t^8.373)/y + (2*t^8.676)/y + (4*t^8.686)/y + t^8.697/y + t^8.989/y - t^4.578*y + 2*t^7.735*y + t^7.746*y + 2*t^8.049*y + 2*t^8.059*y + 2*t^8.373*y + 2*t^8.676*y + 4*t^8.686*y + t^8.697*y + t^8.989*y	t^2.206/g1^18 + g1^20*t^2.216 + g1^12*t^2.53 + 2*g1^4*t^2.843 + (2*t^3.47)/g1^12 + g1^26*t^3.481 + t^3.784/g1^20 + g1^18*t^3.794 + t^4.098/g1^28 + g1^10*t^4.108 + g1^48*t^4.119 + t^4.411/g1^36 + g1^2*t^4.422 + g1^40*t^4.432 + t^4.735/g1^6 + g1^32*t^4.746 + (2*t^5.049)/g1^14 + 3*g1^24*t^5.059 + 2*g1^16*t^5.373 + t^5.676/g1^30 + 4*g1^8*t^5.686 + g1^46*t^5.697 + g1^38*t^6.011 + t^6.303/g1^46 + (3*t^6.314)/g1^8 + 3*g1^30*t^6.324 + g1^68*t^6.335 + t^6.617/g1^54 + (2*t^6.627)/g1^16 + 2*g1^22*t^6.638 + 2*g1^60*t^6.648 + (3*t^6.941)/g1^24 + 2*g1^14*t^6.951 + 3*g1^52*t^6.962 + (2*t^7.254)/g1^32 + 2*g1^6*t^7.265 + 3*g1^44*t^7.275 + t^7.568/g1^40 + t^7.578/g1^2 + 4*g1^36*t^7.589 + g1^74*t^7.599 + (2*t^7.881)/g1^48 + (2*t^7.892)/g1^10 + 5*g1^28*t^7.902 + 2*g1^66*t^7.913 + t^8.195/g1^56 - t^8.206/g1^18 + 2*g1^20*t^8.216 + 2*g1^58*t^8.227 + g1^96*t^8.237 + t^8.509/g1^64 + 3*g1^12*t^8.53 + 3*g1^50*t^8.54 + g1^88*t^8.551 + t^8.822/g1^72 - 3*g1^4*t^8.843 + 2*g1^42*t^8.854 + 2*g1^80*t^8.864 - t^4.578/(g1^2*y) + (2*t^7.735)/(g1^6*y) + (g1^32*t^7.746)/y + (2*t^8.049)/(g1^14*y) + (2*g1^24*t^8.059)/y + (2*g1^16*t^8.373)/y + (2*t^8.676)/(g1^30*y) + (4*g1^8*t^8.686)/y + (g1^46*t^8.697)/y + t^8.989/(g1^38*y) - (t^4.578*y)/g1^2 + (2*t^7.735*y)/g1^6 + g1^32*t^7.746*y + (2*t^8.049*y)/g1^14 + 2*g1^24*t^8.059*y + 2*g1^16*t^8.373*y + (2*t^8.676*y)/g1^30 + 4*g1^8*t^8.686*y + g1^46*t^8.697*y + (t^8.989*y)/g1^38

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
3243	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{5}$	0.5885	0.7494	0.7852	[M:[0.95, 1.1501, 0.95, 0.8499, 1.1501], q:[0.7375, 0.3125], qb:[0.4126, 0.4373], phi:[0.525]]	t^2.175 + t^2.25 + 2*t^2.85 + 3*t^3.45 + t^3.524 + t^3.75 + t^3.825 + t^4.051 + t^4.125 + t^4.199 + t^4.351 + t^4.425 + t^4.499 + 2*t^5.025 + 2*t^5.099 + 2*t^5.626 + 5*t^5.7 + t^5.774 - 2*t^6. - t^4.575/y - t^4.575*y	detail
3242	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	0.598	0.7665	0.7802	[M:[0.9565, 1.1304, 0.9565, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]]	t^2.087 + t^2.348 + t^2.609 + 2*t^2.87 + 2*t^3.391 + 2*t^3.652 + 2*t^3.913 + 2*t^4.174 + 2*t^4.435 + 2*t^4.696 + 3*t^4.957 + 3*t^5.217 + 3*t^5.478 + 4*t^5.739 + 2*t^6. - t^4.565/y - t^4.565*y	detail	{a: 58209/97336, c: 9326/12167, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, 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
1734	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.6083	0.7807	0.7792	[M:[0.9781, 1.0657, 0.9781, 0.7742], q:[0.7445, 0.2774], qb:[0.4812, 0.453], phi:[0.511]]	t^2.191 + t^2.276 + t^2.323 + 2*t^2.934 + 2*t^3.197 + t^3.593 + t^3.724 + t^3.809 + t^4.251 + t^4.336 + t^4.382 + t^4.42 + t^4.467 + t^4.514 + t^4.552 + t^4.599 + t^4.645 + 2*t^5.125 + 2*t^5.21 + 2*t^5.257 + t^5.388 + t^5.473 + 2*t^5.52 + t^5.784 + 3*t^5.869 + t^5.915 - 2*t^6. - t^4.533/y - t^4.533*y	detail