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
47952	SU3adj1nf2	${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{2}$	1.1309	1.2646	0.8942	[X:[1.5244], M:[0.7134], q:[0.8811, 0.4055], qb:[0.8811, 0.4055], phi:[0.2378]]	[X:[[0, 0, 2]], M:[[0, 0, -3]], q:[[-1, 0, 1], [0, -1, 5]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$	${}M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$	-1	2*t^2.14 + t^2.433 + t^3.146 + 2*t^3.86 + 3*t^4.28 + 3*t^4.573 + t^4.866 + 3*t^5.287 + t^5.579 + 4*t^5.79 - t^6. + 3*t^6.293 + 4*t^6.421 + 4*t^6.713 + 5*t^7.006 + t^7.299 + 2*t^7.427 + 6*t^7.72 + 4*t^7.93 + t^8.012 - 2*t^8.14 + 4*t^8.223 + 3*t^8.433 + 5*t^8.561 - 4*t^8.643 + 3*t^8.726 + 2*t^8.854 + 4*t^8.936 + t^8.14/y^2 - (2*t^8.854)/y^2 - t^3.713/y - t^4.427/y - (2*t^5.854)/y - t^6.146/y - (2*t^6.567)/y - t^6.86/y + t^7.28/y - (3*t^7.994)/y + t^8.287/y - (3*t^8.707)/y - t^3.713*y - t^4.427*y - 2*t^5.854*y - t^6.146*y - 2*t^6.567*y - t^6.86*y + t^7.28*y - 3*t^7.994*y + t^8.287*y - 3*t^8.707*y + t^8.14*y^2 - 2*t^8.854*y^2	(2*t^2.14)/g3^3 + g3^5*t^2.433 + g3^4*t^3.146 + (g2*g3*t^3.86)/g1 + (g1*g3^5*t^3.86)/g2 + (3*t^4.28)/g3^6 + 3*g3^2*t^4.573 + g3^10*t^4.866 + 3*g3*t^5.287 + g3^9*t^5.579 + (g2^3*t^5.79)/g3^3 + (g1*g2^2*t^5.79)/g3 + (g3^10*t^5.79)/(g1*g2^2) + (g3^12*t^5.79)/g2^3 - 3*t^6. + (g2*t^6.)/(g1*g3^2) + (g1*g3^2*t^6.)/g2 + (g2*g3^6*t^6.293)/g1 + g3^8*t^6.293 + (g1*g3^10*t^6.293)/g2 + (4*t^6.421)/g3^9 + (4*t^6.713)/g3 + (g2*g3^5*t^7.006)/g1 + 3*g3^7*t^7.006 + (g1*g3^9*t^7.006)/g2 + g3^15*t^7.299 - (g1*t^7.427)/g2 - (g2*t^7.427)/(g1*g3^4) + (4*t^7.427)/g3^2 + (g2^2*g3^2*t^7.72)/g1^2 + 4*g3^6*t^7.72 + (g1^2*g3^10*t^7.72)/g2^2 + (g2^3*t^7.93)/g3^6 + (g1*g2^2*t^7.93)/g3^4 + (g3^7*t^7.93)/(g1*g2^2) + (g3^9*t^7.93)/g2^3 + g3^14*t^8.012 + (g2*t^8.14)/(g1*g3^5) - (4*t^8.14)/g3^3 + (g1*t^8.14)/(g2*g3) + g2^3*g3^2*t^8.223 + g1*g2^2*g3^4*t^8.223 + (g3^15*t^8.223)/(g1*g2^2) + (g3^17*t^8.223)/g2^3 + (2*g2*g3^3*t^8.433)/g1 - g3^5*t^8.433 + (2*g1*g3^7*t^8.433)/g2 + (5*t^8.561)/g3^12 - (g2^3*t^8.643)/g3^7 - (g1*g2^2*t^8.643)/g3^5 - (g3^6*t^8.643)/(g1*g2^2) - (g3^8*t^8.643)/g2^3 + (g2*g3^11*t^8.726)/g1 + g3^13*t^8.726 + (g1*g3^15*t^8.726)/g2 + (2*t^8.854)/g3^4 + g2^3*g3*t^8.936 + g1*g2^2*g3^3*t^8.936 + (g3^14*t^8.936)/(g1*g2^2) + (g3^16*t^8.936)/g2^3 + t^8.14/(g3^3*y^2) - (2*t^8.854)/(g3^4*y^2) - t^3.713/(g3*y) - t^4.427/(g3^2*y) - (2*t^5.854)/(g3^4*y) - (g3^4*t^6.146)/y - (2*t^6.567)/(g3^5*y) - (g3^3*t^6.86)/y + t^7.28/(g3^6*y) - (g2*t^7.573)/(g1*y) + (2*g3^2*t^7.573)/y - (g1*g3^4*t^7.573)/(g2*y) - (3*t^7.994)/(g3^7*y) + (g3*t^8.287)/y - (3*t^8.707)/(g3^8*y) - (t^3.713*y)/g3 - (t^4.427*y)/g3^2 - (2*t^5.854*y)/g3^4 - g3^4*t^6.146*y - (2*t^6.567*y)/g3^5 - g3^3*t^6.86*y + (t^7.28*y)/g3^6 - (g2*t^7.573*y)/g1 + 2*g3^2*t^7.573*y - (g1*g3^4*t^7.573*y)/g2 - (3*t^7.994*y)/g3^7 + g3*t^8.287*y - (3*t^8.707*y)/g3^8 + (t^8.14*y^2)/g3^3 - (2*t^8.854*y^2)/g3^4

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
57734	${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$	1.1513	1.3036	0.8832	[X:[1.5263], M:[0.7106, 0.6952], q:[0.8944, 0.4053], qb:[0.8688, 0.4104], phi:[0.2369]]	t^2.09 + 2*t^2.13 + t^2.45 + t^3.16 + t^3.82 + t^4.17 + 2*t^4.22 + 3*t^4.26 + t^4.53 + 3*t^4.58 + t^4.89 + t^5.24 + 3*t^5.29 + t^5.61 + 2*t^5.78 + 2*t^5.83 + t^5.91 + t^5.95 - 3*t^6. - t^3.71/y - t^4.42/y - t^5.8/y - (2*t^5.84)/y - t^3.71*y - t^4.42*y - t^5.8*y - 2*t^5.84*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
47875	SU3adj1nf2	${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$	1.1107	1.2278	0.9046	[X:[1.5211], q:[0.8803, 0.4014], qb:[0.8803, 0.4014], phi:[0.2394]]	t^2.155 + t^2.408 + t^3.127 + 3*t^3.845 + t^4.31 + 2*t^4.563 + t^4.817 + 2*t^5.282 + t^5.535 + 4*t^5.768 - 2*t^6. - t^3.718/y - t^4.437/y - t^5.873/y - t^3.718*y - t^4.437*y - t^5.873*y	detail