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
46723	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}X_{1}$	0.6018	0.7514	0.8009	[X:[1.4255], M:[1.0, 0.6809, 0.5745, 1.2127, 0.6809], q:[0.3564, 0.6436], qb:[0.9627, 0.4627], phi:[0.3936]]	[X:[[0, 4]], M:[[0, 0], [2, -7], [0, -4], [0, 2], [-2, 1]], q:[[-1, 3], [1, -3]], qb:[[-1, 4], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$	${}$	-2	2*t^2.043 + t^2.457 + t^3. + 2*t^3.319 + 2*t^3.638 + 3*t^4.085 + t^4.276 + 2*t^4.5 + t^4.819 + t^4.915 + 2*t^5.043 + 3*t^5.362 + t^5.457 + 2*t^5.681 + 2*t^5.776 - 2*t^6. + 2*t^6.096 + 4*t^6.128 + 2*t^6.319 + 2*t^6.543 + 3*t^6.638 + t^6.734 + 4*t^6.957 + 3*t^7.085 - 2*t^7.181 + 2*t^7.276 + t^7.372 + 4*t^7.404 + 2*t^7.724 + 2*t^7.819 + 2*t^7.915 - 4*t^8.043 + 2*t^8.138 + 5*t^8.171 + 2*t^8.234 + 3*t^8.362 - 2*t^8.457 + 3*t^8.553 + 2*t^8.585 + 2*t^8.681 - t^4.181/y - (2*t^6.224)/y + t^7.085/y + (2*t^7.5)/y + (2*t^8.043)/y + (2*t^8.138)/y - (3*t^8.266)/y + (4*t^8.362)/y + t^8.457/y + (4*t^8.681)/y + (2*t^8.776)/y - t^4.181*y - 2*t^6.224*y + t^7.085*y + 2*t^7.5*y + 2*t^8.043*y + 2*t^8.138*y - 3*t^8.266*y + 4*t^8.362*y + t^8.457*y + 4*t^8.681*y + 2*t^8.776*y	(g1^2*t^2.043)/g2^7 + (g2*t^2.043)/g1^2 + g2^3*t^2.457 + t^3. + (g1^2*t^3.319)/g2^3 + (g2^5*t^3.319)/g1^2 + 2*g2^2*t^3.638 + (g1^4*t^4.085)/g2^14 + t^4.085/g2^6 + (g2^2*t^4.085)/g1^4 + g2^4*t^4.276 + (g1^2*t^4.5)/g2^4 + (g2^4*t^4.5)/g1^2 + g2*t^4.819 + g2^6*t^4.915 + (g1^2*t^5.043)/g2^7 + (g2*t^5.043)/g1^2 + (g1^4*t^5.362)/g2^10 + t^5.362/g2^2 + (g2^6*t^5.362)/g1^4 + g2^3*t^5.457 + (g1^2*t^5.681)/g2^5 + (g2^3*t^5.681)/g1^2 + g1^2*t^5.776 + (g2^8*t^5.776)/g1^2 - 2*t^6. + 2*g2^5*t^6.096 + (g1^6*t^6.128)/g2^21 + (g1^2*t^6.128)/g2^13 + t^6.128/(g1^2*g2^5) + (g2^3*t^6.128)/g1^6 + (g1^2*t^6.319)/g2^3 + (g2^5*t^6.319)/g1^2 + (g1^4*t^6.543)/g2^11 + (g2^5*t^6.543)/g1^4 + (g1^4*t^6.638)/g2^6 + g2^2*t^6.638 + (g2^10*t^6.638)/g1^4 + g2^7*t^6.734 + (2*g1^2*t^6.957)/g2 + (2*g2^7*t^6.957)/g1^2 + (g1^4*t^7.085)/g2^14 + t^7.085/g2^6 + (g2^2*t^7.085)/g1^4 - (2*t^7.181)/g2 + 2*g2^4*t^7.276 + g2^9*t^7.372 + (g1^6*t^7.404)/g2^17 + (g1^2*t^7.404)/g2^9 + t^7.404/(g1^2*g2) + (g2^7*t^7.404)/g1^6 + (g1^4*t^7.724)/g2^12 + (g2^4*t^7.724)/g1^4 + (g1^4*t^7.819)/g2^7 + (g2^9*t^7.819)/g1^4 + 2*g2^6*t^7.915 - (2*g1^2*t^8.043)/g2^7 - (2*g2*t^8.043)/g1^2 + (g1^2*t^8.138)/g2^2 + (g2^6*t^8.138)/g1^2 + (g1^8*t^8.171)/g2^28 + (g1^4*t^8.171)/g2^20 + t^8.171/g2^12 + t^8.171/(g1^4*g2^4) + (g2^4*t^8.171)/g1^8 + g1^2*g2^3*t^8.234 + (g2^11*t^8.234)/g1^2 + (g1^4*t^8.362)/g2^10 + t^8.362/g2^2 + (g2^6*t^8.362)/g1^4 - 2*g2^3*t^8.457 + 3*g2^8*t^8.553 + (g1^6*t^8.585)/g2^18 + (g2^6*t^8.585)/g1^6 + (g1^6*t^8.681)/g2^13 + (g2^11*t^8.681)/g1^6 - t^4.181/(g2*y) - t^6.224/(g1^2*y) - (g1^2*t^6.224)/(g2^8*y) + t^7.085/(g2^6*y) + (g1^2*t^7.5)/(g2^4*y) + (g2^4*t^7.5)/(g1^2*y) + (g1^2*t^8.043)/(g2^7*y) + (g2*t^8.043)/(g1^2*y) + (g1^2*t^8.138)/(g2^2*y) + (g2^6*t^8.138)/(g1^2*y) - (g1^4*t^8.266)/(g2^15*y) - t^8.266/(g2^7*y) - (g2*t^8.266)/(g1^4*y) + (g1^4*t^8.362)/(g2^10*y) + (2*t^8.362)/(g2^2*y) + (g2^6*t^8.362)/(g1^4*y) + (g2^3*t^8.457)/y + (2*g1^2*t^8.681)/(g2^5*y) + (2*g2^3*t^8.681)/(g1^2*y) + (g1^2*t^8.776)/y + (g2^8*t^8.776)/(g1^2*y) - (t^4.181*y)/g2 - (t^6.224*y)/g1^2 - (g1^2*t^6.224*y)/g2^8 + (t^7.085*y)/g2^6 + (g1^2*t^7.5*y)/g2^4 + (g2^4*t^7.5*y)/g1^2 + (g1^2*t^8.043*y)/g2^7 + (g2*t^8.043*y)/g1^2 + (g1^2*t^8.138*y)/g2^2 + (g2^6*t^8.138*y)/g1^2 - (g1^4*t^8.266*y)/g2^15 - (t^8.266*y)/g2^7 - (g2*t^8.266*y)/g1^4 + (g1^4*t^8.362*y)/g2^10 + (2*t^8.362*y)/g2^2 + (g2^6*t^8.362*y)/g1^4 + g2^3*t^8.457*y + (2*g1^2*t^8.681*y)/g2^5 + (2*g2^3*t^8.681*y)/g1^2 + g1^2*t^8.776*y + (g2^8*t^8.776*y)/g1^2

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
48286	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}X_{2}$	0.5791	0.7041	0.8225	[X:[1.4709, 1.3823], M:[1.0, 0.676, 0.5291, 1.2354, 0.6177], q:[0.3532, 0.6468], qb:[0.9709, 0.5], phi:[0.3823]]	t^2.028 + t^2.559 + t^3. + t^3.266 + t^3.441 + 2*t^3.706 + t^4.056 + t^4.147 + t^4.413 + t^4.587 + t^4.853 + t^5.028 + t^5.119 + t^5.468 + t^5.734 + t^5.825 - t^6. - t^4.147/y - t^4.147*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
46234	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$	0.6689	0.8351	0.801	[M:[0.7072, 0.6951, 0.6911, 1.3008, 0.6951], q:[0.4736, 0.8192], qb:[0.8313, 0.4776], phi:[0.3496]]	t^2.073 + 2*t^2.085 + t^2.122 + t^2.854 + 2*t^3.89 + 2*t^3.902 + t^4.147 + 2*t^4.159 + 3*t^4.171 + t^4.195 + 2*t^4.207 + t^4.243 + t^4.927 + 2*t^4.939 + t^4.951 + t^4.975 + t^5.707 + 2*t^5.964 + 5*t^5.976 + 2*t^5.988 - 3*t^6. - t^4.049/y - t^4.049*y	detail