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
192	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$	0.6107	0.7595	0.8041	[M:[1.0, 0.6889, 0.8353], q:[0.6082, 1.0108], qb:[0.3918, 0.465], phi:[0.381]]	[M:[[0, 0], [1, -5], [-5, 1]], q:[[-3, 0], [4, 1]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	-1	t^2.067 + t^2.286 + t^2.506 + t^2.571 + t^3. + t^3.22 + t^3.714 + t^4.133 + t^4.208 + t^4.353 + t^4.427 + 2*t^4.573 + t^4.637 + t^4.792 + 2*t^4.857 + t^5.012 + t^5.067 + t^5.077 + t^5.141 + t^5.286 + t^5.506 + t^5.571 + t^5.726 + t^5.79 - t^6. + t^6.2 + t^6.22 + t^6.274 + t^6.284 + t^6.419 - t^6.429 + t^6.439 + t^6.494 + 2*t^6.639 - t^6.649 + t^6.704 + t^6.714 + t^6.778 + 2*t^6.859 + t^6.923 + t^6.933 + t^6.998 + 2*t^7.079 + t^7.133 + t^7.143 + t^7.208 + t^7.298 + t^7.353 + t^7.363 + 2*t^7.427 + t^7.518 + t^7.573 + t^7.583 + t^7.647 + t^7.712 + t^7.792 + t^8.012 - 2*t^8.067 + t^8.077 + t^8.141 + t^8.232 + t^8.266 - t^8.286 + t^8.296 + t^8.341 - t^8.351 + t^8.361 + t^8.415 + t^8.486 - t^8.496 - 2*t^8.506 + t^8.561 - 2*t^8.571 + t^8.635 + 2*t^8.706 - t^8.716 + t^8.726 + t^8.77 + t^8.845 + 2*t^8.855 + 2*t^8.925 - t^8.935 + t^8.945 + t^8.99 - t^4.143/y - t^6.21/y - t^6.429/y - t^6.649/y + t^7.353/y + t^7.573/y + (2*t^7.637)/y + t^7.792/y + (2*t^7.857)/y + t^8.067/y + (2*t^8.077)/y - t^8.276/y + (2*t^8.286)/y - t^8.496/y + (2*t^8.506)/y + t^8.571/y - (2*t^8.716)/y + t^8.726/y + t^8.78/y + t^8.79/y - t^8.935/y - t^4.143*y - t^6.21*y - t^6.429*y - t^6.649*y + t^7.353*y + t^7.573*y + 2*t^7.637*y + t^7.792*y + 2*t^7.857*y + t^8.067*y + 2*t^8.077*y - t^8.276*y + 2*t^8.286*y - t^8.496*y + 2*t^8.506*y + t^8.571*y - 2*t^8.716*y + t^8.726*y + t^8.78*y + t^8.79*y - t^8.935*y	(g1*t^2.067)/g2^5 + t^2.286/(g1^2*g2^2) + (g2*t^2.506)/g1^5 + g1^3*g2^3*t^2.571 + t^3. + (g2^3*t^3.22)/g1^3 + g1^2*g2^2*t^3.714 + (g1^2*t^4.133)/g2^10 + g1^7*g2*t^4.208 + t^4.353/(g1*g2^7) + g1^4*g2^4*t^4.427 + (2*t^4.573)/(g1^4*g2^4) + (g1^4*t^4.637)/g2^2 + t^4.792/(g1^7*g2) + 2*g1*g2*t^4.857 + (g2^2*t^5.012)/g1^10 + (g1*t^5.067)/g2^5 + (g2^4*t^5.077)/g1^2 + g1^6*g2^6*t^5.141 + t^5.286/(g1^2*g2^2) + (g2*t^5.506)/g1^5 + g1^3*g2^3*t^5.571 + (g2^4*t^5.726)/g1^8 + g2^6*t^5.79 - t^6. + (g1^3*t^6.2)/g2^15 + (g2^3*t^6.22)/g1^3 + (g1^8*t^6.274)/g2^4 + g1^5*g2^5*t^6.284 + t^6.419/g2^12 - t^6.429/(g1^3*g2^3) + (g2^6*t^6.439)/g1^6 + (g1^5*t^6.494)/g2 + (2*t^6.639)/(g1^3*g2^9) - t^6.649/g1^6 + (g1^5*t^6.704)/g2^7 + g1^2*g2^2*t^6.714 + g1^10*g2^4*t^6.778 + (2*t^6.859)/(g1^6*g2^6) + (g1^2*t^6.923)/g2^4 + (g2^5*t^6.933)/g1 + g1^7*g2^7*t^6.998 + (2*t^7.079)/(g1^9*g2^3) + (g1^2*t^7.133)/g2^10 + t^7.143/(g1*g2) + g1^7*g2*t^7.208 + t^7.298/g1^12 + t^7.353/(g1*g2^7) + (g2^2*t^7.363)/g1^4 + 2*g1^4*g2^4*t^7.427 + (g2^3*t^7.518)/g1^15 + t^7.573/(g1^4*g2^4) + (g2^5*t^7.583)/g1^7 + g1*g2^7*t^7.647 + g1^9*g2^9*t^7.712 + t^7.792/(g1^7*g2) + (g2^2*t^8.012)/g1^10 - (2*g1*t^8.067)/g2^5 + (g2^4*t^8.077)/g1^2 + g1^6*g2^6*t^8.141 + (g2^5*t^8.232)/g1^13 + (g1^4*t^8.266)/g2^20 - t^8.286/(g1^2*g2^2) + (g2^7*t^8.296)/g1^5 + (g1^9*t^8.341)/g2^9 - g1^6*t^8.351 + g1^3*g2^9*t^8.361 + g1^14*g2^2*t^8.415 + (g1*t^8.486)/g2^17 - t^8.496/(g1^2*g2^8) - (2*g2*t^8.506)/g1^5 + (g1^6*t^8.561)/g2^6 - 2*g1^3*g2^3*t^8.571 + g1^11*g2^5*t^8.635 + (2*t^8.706)/(g1^2*g2^14) - t^8.716/(g1^5*g2^5) + (g2^4*t^8.726)/g1^8 + (g1^6*t^8.77)/g2^12 + (g1^11*t^8.845)/g2 + 2*g1^8*g2^8*t^8.855 + (2*t^8.925)/(g1^5*g2^11) - t^8.935/(g1^8*g2^2) + (g2^7*t^8.945)/g1^11 + (g1^3*t^8.99)/g2^9 - t^4.143/(g1*g2*y) - t^6.21/(g2^6*y) - t^6.429/(g1^3*g2^3*y) - t^6.649/(g1^6*y) + t^7.353/(g1*g2^7*y) + t^7.573/(g1^4*g2^4*y) + (2*g1^4*t^7.637)/(g2^2*y) + t^7.792/(g1^7*g2*y) + (2*g1*g2*t^7.857)/y + (g1*t^8.067)/(g2^5*y) + (2*g2^4*t^8.077)/(g1^2*y) - (g1*t^8.276)/(g2^11*y) + (2*t^8.286)/(g1^2*g2^2*y) - t^8.496/(g1^2*g2^8*y) + (2*g2*t^8.506)/(g1^5*y) + (g1^3*g2^3*t^8.571)/y - (2*t^8.716)/(g1^5*g2^5*y) + (g2^4*t^8.726)/(g1^8*y) + (g1^3*t^8.78)/(g2^3*y) + (g2^6*t^8.79)/y - t^8.935/(g1^8*g2^2*y) - (t^4.143*y)/(g1*g2) - (t^6.21*y)/g2^6 - (t^6.429*y)/(g1^3*g2^3) - (t^6.649*y)/g1^6 + (t^7.353*y)/(g1*g2^7) + (t^7.573*y)/(g1^4*g2^4) + (2*g1^4*t^7.637*y)/g2^2 + (t^7.792*y)/(g1^7*g2) + 2*g1*g2*t^7.857*y + (g1*t^8.067*y)/g2^5 + (2*g2^4*t^8.077*y)/g1^2 - (g1*t^8.276*y)/g2^11 + (2*t^8.286*y)/(g1^2*g2^2) - (t^8.496*y)/(g1^2*g2^8) + (2*g2*t^8.506*y)/g1^5 + g1^3*g2^3*t^8.571*y - (2*t^8.716*y)/(g1^5*g2^5) + (g2^4*t^8.726*y)/g1^8 + (g1^3*t^8.78*y)/g2^3 + g2^6*t^8.79*y - (t^8.935*y)/(g1^8*g2^2)

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
303	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}X_{1}$	0.588	0.713	0.8247	[X:[1.3696], M:[1.0, 0.6304, 0.8478], q:[0.6087, 1.0217], qb:[0.3913, 0.5], phi:[0.3696]]	t^2.217 + t^2.543 + t^2.674 + t^3. + t^3.326 + t^3.783 + t^4.109 + t^4.239 + t^4.435 + t^4.565 + t^4.761 + 2*t^4.891 + t^5.087 + t^5.217 + t^5.348 + t^5.543 + t^5.87 - t^4.109/y - t^4.109*y	detail	{a: 1731/2944, c: 2099/2944, X1: 63/46, M1: 1, M2: 29/46, M3: 39/46, q1: 14/23, q2: 47/46, qb1: 9/23, qb2: 1/2, phi1: 17/46}

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
120	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$	0.669	0.8353	0.8009	[M:[0.6881, 0.7026, 0.6965], q:[0.835, 0.8152], qb:[0.4769, 0.4738], phi:[0.3498]]	t^2.064 + t^2.089 + t^2.099 + t^2.108 + t^2.852 + t^3.867 + t^3.876 + t^3.901 + t^3.926 + t^4.129 + t^4.154 + t^4.163 + t^4.172 + t^4.179 + t^4.188 + 2*t^4.197 + t^4.206 + t^4.216 + t^4.916 + t^4.941 + 2*t^4.951 + t^4.96 + t^5.704 + t^5.931 + t^5.941 + t^5.956 + 2*t^5.966 + t^5.975 + t^5.984 + t^5.991 - 2*t^6. - t^4.049/y - t^4.049*y	detail