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
55186	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6674	0.8647	0.7718	[M:[1.1146, 0.7291, 0.7709, 1.1563, 0.8854, 0.6873], q:[0.75, 0.4063], qb:[0.3646, 0.4791], phi:[0.5]]	[M:[[1], [2], [-2], [-3], [-1], [6]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{1}$	${}M_{1}M_{5}$	0	t^2.062 + t^2.187 + 2*t^2.313 + t^2.656 + t^3. + t^3.344 + 2*t^3.469 + t^3.687 + t^4.031 + t^4.124 + t^4.156 + t^4.249 + 4*t^4.375 + 2*t^4.5 + 3*t^4.625 + t^4.718 + t^4.844 + 2*t^4.969 + t^5.062 + t^5.187 + 3*t^5.313 + t^5.406 + 3*t^5.531 + 4*t^5.656 + t^5.749 + 3*t^5.782 + t^6.093 + t^6.125 + t^6.186 + t^6.218 + t^6.311 + 2*t^6.344 + 4*t^6.437 + 2*t^6.469 + 4*t^6.562 + 7*t^6.687 + t^6.78 + 4*t^6.813 + t^6.906 + 6*t^6.938 + 4*t^7.031 + t^7.124 + t^7.156 + t^7.249 + t^7.282 + 4*t^7.375 + t^7.468 + 2*t^7.5 + 3*t^7.593 + 4*t^7.625 + 5*t^7.718 + t^7.811 + 6*t^7.844 + 5*t^7.969 + t^8.062 + 4*t^8.094 + t^8.155 - 2*t^8.187 + t^8.248 + t^8.28 + t^8.373 + 3*t^8.406 + t^8.438 + 4*t^8.499 + 2*t^8.531 + 4*t^8.624 + 10*t^8.749 + 3*t^8.782 + t^8.842 + 6*t^8.875 + t^8.968 - t^4.5/y - t^6.562/y - t^6.687/y - t^6.813/y + t^7.031/y + t^7.249/y + (2*t^7.375)/y + (2*t^7.5)/y + t^7.625/y + t^7.718/y + t^7.844/y + t^7.969/y + t^8.062/y + (2*t^8.187)/y + (3*t^8.313)/y + t^8.406/y + t^8.438/y + (3*t^8.531)/y - t^8.624/y + (5*t^8.656)/y + (4*t^8.782)/y - t^8.875/y - t^4.5*y - t^6.562*y - t^6.687*y - t^6.813*y + t^7.031*y + t^7.249*y + 2*t^7.375*y + 2*t^7.5*y + t^7.625*y + t^7.718*y + t^7.844*y + t^7.969*y + t^8.062*y + 2*t^8.187*y + 3*t^8.313*y + t^8.406*y + t^8.438*y + 3*t^8.531*y - t^8.624*y + 5*t^8.656*y + 4*t^8.782*y - t^8.875*y	g1^6*t^2.062 + g1^2*t^2.187 + (2*t^2.313)/g1^2 + t^2.656/g1 + t^3. + g1*t^3.344 + (2*t^3.469)/g1^3 + g1^2*t^3.687 + g1^3*t^4.031 + g1^12*t^4.124 + t^4.156/g1 + g1^8*t^4.249 + 4*g1^4*t^4.375 + 2*t^4.5 + (3*t^4.625)/g1^4 + g1^5*t^4.718 + g1*t^4.844 + (2*t^4.969)/g1^3 + g1^6*t^5.062 + g1^2*t^5.187 + (3*t^5.313)/g1^2 + g1^7*t^5.406 + 3*g1^3*t^5.531 + (4*t^5.656)/g1 + g1^8*t^5.749 + (3*t^5.782)/g1^5 + g1^9*t^6.093 + t^6.125/g1^4 + g1^18*t^6.186 + g1^5*t^6.218 + g1^14*t^6.311 + 2*g1*t^6.344 + 4*g1^10*t^6.437 + (2*t^6.469)/g1^3 + 4*g1^6*t^6.562 + 7*g1^2*t^6.687 + g1^11*t^6.78 + (4*t^6.813)/g1^2 + g1^7*t^6.906 + (6*t^6.938)/g1^6 + 4*g1^3*t^7.031 + g1^12*t^7.124 + t^7.156/g1 + g1^8*t^7.249 + t^7.282/g1^5 + 4*g1^4*t^7.375 + g1^13*t^7.468 + 2*t^7.5 + 3*g1^9*t^7.593 + (4*t^7.625)/g1^4 + 5*g1^5*t^7.718 + g1^14*t^7.811 + 6*g1*t^7.844 + (5*t^7.969)/g1^3 + g1^6*t^8.062 + (4*t^8.094)/g1^7 + g1^15*t^8.155 - 2*g1^2*t^8.187 + g1^24*t^8.248 + g1^11*t^8.28 + g1^20*t^8.373 + 3*g1^7*t^8.406 + t^8.438/g1^6 + 4*g1^16*t^8.499 + 2*g1^3*t^8.531 + 4*g1^12*t^8.624 + 10*g1^8*t^8.749 + (3*t^8.782)/g1^5 + g1^17*t^8.842 + 6*g1^4*t^8.875 + g1^13*t^8.968 - t^4.5/y - (g1^6*t^6.562)/y - (g1^2*t^6.687)/y - t^6.813/(g1^2*y) + (g1^3*t^7.031)/y + (g1^8*t^7.249)/y + (2*g1^4*t^7.375)/y + (2*t^7.5)/y + t^7.625/(g1^4*y) + (g1^5*t^7.718)/y + (g1*t^7.844)/y + t^7.969/(g1^3*y) + (g1^6*t^8.062)/y + (2*g1^2*t^8.187)/y + (3*t^8.313)/(g1^2*y) + (g1^7*t^8.406)/y + t^8.438/(g1^6*y) + (3*g1^3*t^8.531)/y - (g1^12*t^8.624)/y + (5*t^8.656)/(g1*y) + (4*t^8.782)/(g1^5*y) - (g1^4*t^8.875)/y - t^4.5*y - g1^6*t^6.562*y - g1^2*t^6.687*y - (t^6.813*y)/g1^2 + g1^3*t^7.031*y + g1^8*t^7.249*y + 2*g1^4*t^7.375*y + 2*t^7.5*y + (t^7.625*y)/g1^4 + g1^5*t^7.718*y + g1*t^7.844*y + (t^7.969*y)/g1^3 + g1^6*t^8.062*y + 2*g1^2*t^8.187*y + (3*t^8.313*y)/g1^2 + g1^7*t^8.406*y + (t^8.438*y)/g1^6 + 3*g1^3*t^8.531*y - g1^12*t^8.624*y + (5*t^8.656*y)/g1 + (4*t^8.782*y)/g1^5 - g1^4*t^8.875*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
56857	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$	0.6495	0.8414	0.7719	[M:[1.1429, 0.7857, 0.7143, 1.0714, 0.8571, 0.8571], q:[0.75, 0.3214], qb:[0.3929, 0.5357], phi:[0.5]]	2*t^2.143 + t^2.357 + 2*t^2.571 + t^3. + 2*t^3.214 + t^3.429 + t^3.857 + t^4.071 + 4*t^4.286 + 2*t^4.5 + 6*t^4.714 + 2*t^4.929 + 5*t^5.143 + 4*t^5.357 + 5*t^5.571 + 4*t^5.786 + t^6. - t^4.5/y - t^4.5*y	detail	{a: 57027/87808, c: 73883/87808, M1: 8/7, M2: 11/14, M3: 5/7, M4: 15/14, M5: 6/7, M6: 6/7, q1: 3/4, q2: 9/28, qb1: 11/28, qb2: 15/28, phi1: 1/2}

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
47047	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6467	0.8249	0.784	[M:[1.1169, 0.7339, 0.7661, 1.1492, 0.8831], q:[0.75, 0.3992], qb:[0.3669, 0.4839], phi:[0.5]]	t^2.202 + 2*t^2.298 + t^2.649 + t^3. + t^3.351 + 2*t^3.448 + t^3.702 + t^3.895 + t^4.052 + t^4.149 + 2*t^4.403 + 2*t^4.5 + 3*t^4.597 + t^4.851 + 2*t^4.948 + t^5.202 + 3*t^5.298 + t^5.552 + 4*t^5.649 + 3*t^5.746 - t^4.5/y - t^4.5*y	detail