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
3272	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6674	0.8647	0.7718	[M:[1.1563, 1.1146, 0.7709, 0.6873, 0.8854, 0.7291], q:[0.75, 0.4791], qb:[0.3646, 0.4063], phi:[0.5]]	[M:[[3], [-1], [2], [-6], [1], [-2]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}M_{2}M_{5}$	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	t^2.062/g1^6 + t^2.187/g1^2 + 2*g1^2*t^2.313 + g1*t^2.656 + t^3. + t^3.344/g1 + 2*g1^3*t^3.469 + t^3.687/g1^2 + t^4.031/g1^3 + t^4.124/g1^12 + g1*t^4.156 + t^4.249/g1^8 + (4*t^4.375)/g1^4 + 2*t^4.5 + 3*g1^4*t^4.625 + t^4.718/g1^5 + t^4.844/g1 + 2*g1^3*t^4.969 + t^5.062/g1^6 + t^5.187/g1^2 + 3*g1^2*t^5.313 + t^5.406/g1^7 + (3*t^5.531)/g1^3 + 4*g1*t^5.656 + t^5.749/g1^8 + 3*g1^5*t^5.782 + t^6.093/g1^9 + g1^4*t^6.125 + t^6.186/g1^18 + t^6.218/g1^5 + t^6.311/g1^14 + (2*t^6.344)/g1 + (4*t^6.437)/g1^10 + 2*g1^3*t^6.469 + (4*t^6.562)/g1^6 + (7*t^6.687)/g1^2 + t^6.78/g1^11 + 4*g1^2*t^6.813 + t^6.906/g1^7 + 6*g1^6*t^6.938 + (4*t^7.031)/g1^3 + t^7.124/g1^12 + g1*t^7.156 + t^7.249/g1^8 + g1^5*t^7.282 + (4*t^7.375)/g1^4 + t^7.468/g1^13 + 2*t^7.5 + (3*t^7.593)/g1^9 + 4*g1^4*t^7.625 + (5*t^7.718)/g1^5 + t^7.811/g1^14 + (6*t^7.844)/g1 + 5*g1^3*t^7.969 + t^8.062/g1^6 + 4*g1^7*t^8.094 + t^8.155/g1^15 - (2*t^8.187)/g1^2 + t^8.248/g1^24 + t^8.28/g1^11 + t^8.373/g1^20 + (3*t^8.406)/g1^7 + g1^6*t^8.438 + (4*t^8.499)/g1^16 + (2*t^8.531)/g1^3 + (4*t^8.624)/g1^12 + (10*t^8.749)/g1^8 + 3*g1^5*t^8.782 + t^8.842/g1^17 + (6*t^8.875)/g1^4 + t^8.968/g1^13 - t^4.5/y - t^6.562/(g1^6*y) - t^6.687/(g1^2*y) - (g1^2*t^6.813)/y + t^7.031/(g1^3*y) + t^7.249/(g1^8*y) + (2*t^7.375)/(g1^4*y) + (2*t^7.5)/y + (g1^4*t^7.625)/y + t^7.718/(g1^5*y) + t^7.844/(g1*y) + (g1^3*t^7.969)/y + t^8.062/(g1^6*y) + (2*t^8.187)/(g1^2*y) + (3*g1^2*t^8.313)/y + t^8.406/(g1^7*y) + (g1^6*t^8.438)/y + (3*t^8.531)/(g1^3*y) - t^8.624/(g1^12*y) + (5*g1*t^8.656)/y + (4*g1^5*t^8.782)/y - t^8.875/(g1^4*y) - t^4.5*y - (t^6.562*y)/g1^6 - (t^6.687*y)/g1^2 - g1^2*t^6.813*y + (t^7.031*y)/g1^3 + (t^7.249*y)/g1^8 + (2*t^7.375*y)/g1^4 + 2*t^7.5*y + g1^4*t^7.625*y + (t^7.718*y)/g1^5 + (t^7.844*y)/g1 + g1^3*t^7.969*y + (t^8.062*y)/g1^6 + (2*t^8.187*y)/g1^2 + 3*g1^2*t^8.313*y + (t^8.406*y)/g1^7 + g1^6*t^8.438*y + (3*t^8.531*y)/g1^3 - (t^8.624*y)/g1^12 + 5*g1*t^8.656*y + 4*g1^5*t^8.782*y - (t^8.875*y)/g1^4

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
3702	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$	0.6778	0.882	0.7685	[M:[1.1511, 1.1163, 0.7674, 0.6978, 0.8837, 0.7326, 0.8837], q:[0.75, 0.4826], qb:[0.3663, 0.4011], phi:[0.5]]	t^2.094 + t^2.198 + 2*t^2.302 + 2*t^2.651 + t^3. + 2*t^3.453 + t^3.698 + t^4.047 + t^4.151 + t^4.187 + t^4.291 + 4*t^4.396 + 2*t^4.5 + 3*t^4.604 + 2*t^4.745 + 2*t^4.849 + 4*t^4.953 + t^5.094 + t^5.198 + 5*t^5.302 + 2*t^5.547 + 3*t^5.651 + 3*t^5.755 + t^5.791 - 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
2757	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6476	0.8279	0.7823	[M:[1.1521, 1.116, 0.7681, 0.6958, 0.884], q:[0.75, 0.4819], qb:[0.366, 0.4021], phi:[0.5]]	t^2.087 + 2*t^2.304 + t^2.652 + t^3. + t^3.348 + 2*t^3.456 + t^3.696 + t^3.804 + t^4.044 + t^4.152 + t^4.175 + 3*t^4.392 + 3*t^4.608 + t^4.739 + 2*t^4.956 + t^5.087 + 3*t^5.304 + t^5.435 + 2*t^5.544 + 2*t^5.652 + 3*t^5.761 + t^5.783 - t^4.5/y - t^4.5*y	detail