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
544	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6254	0.8129	0.7694	[M:[0.9847, 1.0459, 1.0153, 0.7462, 0.7462], q:[0.7462, 0.2691], qb:[0.477, 0.477], phi:[0.5077]]	[M:[[4, 4], [-12, -12], [-4, -4], [-5, 7], [7, -5]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	${}$	-6	4*t^2.239 + 2*t^3.046 + 2*t^3.138 + 2*t^3.67 + 3*t^4.385 + 10*t^4.477 + 8*t^5.284 + 6*t^5.376 + 7*t^5.908 - 6*t^6. + t^6.092 + 4*t^6.184 + 3*t^6.276 + 8*t^6.624 + 20*t^6.716 - 2*t^6.899 + t^7.431 + 18*t^7.523 + 12*t^7.615 + 4*t^8.055 + 10*t^8.147 - 24*t^8.239 + 4*t^8.33 + 12*t^8.422 + 8*t^8.514 + 5*t^8.77 + 14*t^8.862 + 34*t^8.954 - t^4.523/y - (2*t^6.761)/y + t^7.385/y + (7*t^7.477)/y - t^7.569/y - t^7.661/y + (10*t^8.284)/y + (8*t^8.376)/y + (8*t^8.908)/y - t^4.523*y - 2*t^6.761*y + t^7.385*y + 7*t^7.477*y - t^7.569*y - t^7.661*y + 10*t^8.284*y + 8*t^8.376*y + 8*t^8.908*y	(2*g1^7*t^2.239)/g2^5 + (2*g2^7*t^2.239)/g1^5 + (2*t^3.046)/(g1^4*g2^4) + (2*t^3.138)/(g1^12*g2^12) + g1^13*g2*t^3.67 + g1*g2^13*t^3.67 + (g1^22*t^4.385)/g2^2 + g1^10*g2^10*t^4.385 + (g2^22*t^4.385)/g1^2 + (3*g1^14*t^4.477)/g2^10 + 4*g1^2*g2^2*t^4.477 + (3*g2^14*t^4.477)/g1^10 + (4*g1^3*t^5.284)/g2^9 + (4*g2^3*t^5.284)/g1^9 + (3*t^5.376)/(g1^5*g2^17) + (3*t^5.376)/(g1^17*g2^5) + (2*g1^20*t^5.908)/g2^4 + 3*g1^8*g2^8*t^5.908 + (2*g2^20*t^5.908)/g1^4 - 4*t^6. - (g1^12*t^6.)/g2^12 - (g2^12*t^6.)/g1^12 + t^6.092/(g1^8*g2^8) + (4*t^6.184)/(g1^16*g2^16) + (3*t^6.276)/(g1^24*g2^24) + (2*g1^29*t^6.624)/g2^7 + 2*g1^17*g2^5*t^6.624 + 2*g1^5*g2^17*t^6.624 + (2*g2^29*t^6.624)/g1^7 + (4*g1^21*t^6.716)/g2^15 + (6*g1^9*t^6.716)/g2^3 + (6*g2^9*t^6.716)/g1^3 + (4*g2^21*t^6.716)/g1^15 - t^6.899/(g1^7*g2^19) - t^6.899/(g1^19*g2^7) + (g1^18*t^7.431)/g2^6 - g1^6*g2^6*t^7.431 + (g2^18*t^7.431)/g1^6 + (6*g1^10*t^7.523)/g2^14 + (6*t^7.523)/(g1^2*g2^2) + (6*g2^10*t^7.523)/g1^14 + (4*g1^2*t^7.615)/g2^22 + (4*t^7.615)/(g1^10*g2^10) + (4*g2^2*t^7.615)/g1^22 + (g1^35*t^8.055)/g2 + g1^23*g2^11*t^8.055 + g1^11*g2^23*t^8.055 + (g2^35*t^8.055)/g1 + (3*g1^27*t^8.147)/g2^9 + 2*g1^15*g2^3*t^8.147 + 2*g1^3*g2^15*t^8.147 + (3*g2^27*t^8.147)/g1^9 - (2*g1^19*t^8.239)/g2^17 - (10*g1^7*t^8.239)/g2^5 - (10*g2^7*t^8.239)/g1^5 - (2*g2^19*t^8.239)/g1^17 + (2*t^8.33)/(g1*g2^13) + (2*t^8.33)/(g1^13*g2) + (6*t^8.422)/(g1^9*g2^21) + (6*t^8.422)/(g1^21*g2^9) + (4*t^8.514)/(g1^17*g2^29) + (4*t^8.514)/(g1^29*g2^17) + (g1^44*t^8.77)/g2^4 + g1^32*g2^8*t^8.77 + g1^20*g2^20*t^8.77 + g1^8*g2^32*t^8.77 + (g2^44*t^8.77)/g1^4 + 3*g1^24*t^8.862 + (3*g1^36*t^8.862)/g2^12 + 2*g1^12*g2^12*t^8.862 + 3*g2^24*t^8.862 + (3*g2^36*t^8.862)/g1^12 + (5*g1^28*t^8.954)/g2^20 + (8*g1^16*t^8.954)/g2^8 + 8*g1^4*g2^4*t^8.954 + (8*g2^16*t^8.954)/g1^8 + (5*g2^28*t^8.954)/g1^20 - t^4.523/(g1^2*g2^2*y) - (g1^5*t^6.761)/(g2^7*y) - (g2^5*t^6.761)/(g1^7*y) + (g1^10*g2^10*t^7.385)/y + (g1^14*t^7.477)/(g2^10*y) + (5*g1^2*g2^2*t^7.477)/y + (g2^14*t^7.477)/(g1^10*y) - t^7.569/(g1^6*g2^6*y) - t^7.661/(g1^14*g2^14*y) + (5*g1^3*t^8.284)/(g2^9*y) + (5*g2^3*t^8.284)/(g1^9*y) + (4*t^8.376)/(g1^5*g2^17*y) + (4*t^8.376)/(g1^17*g2^5*y) + (2*g1^20*t^8.908)/(g2^4*y) + (4*g1^8*g2^8*t^8.908)/y + (2*g2^20*t^8.908)/(g1^4*y) - (t^4.523*y)/(g1^2*g2^2) - (g1^5*t^6.761*y)/g2^7 - (g2^5*t^6.761*y)/g1^7 + g1^10*g2^10*t^7.385*y + (g1^14*t^7.477*y)/g2^10 + 5*g1^2*g2^2*t^7.477*y + (g2^14*t^7.477*y)/g1^10 - (t^7.569*y)/(g1^6*g2^6) - (t^7.661*y)/(g1^14*g2^14) + (5*g1^3*t^8.284*y)/g2^9 + (5*g2^3*t^8.284*y)/g1^9 + (4*t^8.376*y)/(g1^5*g2^17) + (4*t^8.376*y)/(g1^17*g2^5) + (2*g1^20*t^8.908*y)/g2^4 + 4*g1^8*g2^8*t^8.908*y + (2*g2^20*t^8.908*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
1912	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6438	0.8466	0.7605	[M:[0.9911, 1.0267, 1.0089, 0.7377, 0.7578, 0.7555], q:[0.7478, 0.2611], qb:[0.4967, 0.4766], phi:[0.5045]]	2*t^2.213 + t^2.267 + 2*t^2.273 + 2*t^3.027 + 2*t^3.08 + t^3.673 + t^4.373 + 3*t^4.426 + t^4.433 + 2*t^4.48 + 4*t^4.487 + t^4.493 + t^4.533 + 2*t^4.54 + 3*t^4.547 + 4*t^5.24 + 5*t^5.293 + 4*t^5.3 + 2*t^5.347 + 3*t^5.354 + 2*t^5.886 + t^5.947 - 4*t^6. - t^4.513/y - t^4.513*y	detail
1910	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	0.6251	0.8126	0.7692	[M:[0.9888, 1.0335, 1.0112, 0.7584, 0.736], q:[0.7472, 0.264], qb:[0.4721, 0.4944], phi:[0.5056]]	2*t^2.208 + 2*t^2.275 + 2*t^3.034 + 2*t^3.101 + t^3.658 + t^3.725 + t^4.349 + 4*t^4.416 + 5*t^4.483 + 3*t^4.55 + 4*t^5.242 + 7*t^5.309 + 3*t^5.376 + 2*t^5.866 + 2*t^5.933 - 2*t^6. - t^4.517/y - t^4.517*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
344	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$	0.6064	0.7787	0.7788	[M:[0.9857, 1.043, 1.0143, 0.7364], q:[0.7464, 0.2679], qb:[0.4885, 0.4685], phi:[0.5072]]	2*t^2.209 + t^2.269 + 2*t^3.043 + 2*t^3.129 + t^3.645 + t^3.705 + t^3.731 + t^4.333 + t^4.392 + 3*t^4.419 + t^4.452 + 2*t^4.478 + t^4.538 + 4*t^5.252 + 2*t^5.312 + 3*t^5.338 + t^5.398 + 2*t^5.854 + 2*t^5.914 + t^5.94 + t^5.974 - 3*t^6. - t^4.522/y - t^4.522*y	detail