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
46115	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$	0.7184	0.8775	0.8187	[M:[1.0, 0.8179, 0.8179, 1.0, 1.091], q:[0.541, 0.459], qb:[0.6411, 0.541], phi:[0.4545]]	[M:[[4, 0, 1], [8, -4, 1], [0, -4, -1], [-4, 0, -1], [-2, 2, 0]], q:[[-8, 0, -1], [4, 0, 0]], qb:[[0, 4, 0], [0, 0, 1]], phi:[[1, -1, 0]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{5}$	${}M_{1}^{2}$, ${ }M_{4}^{2}$	-3	2*t^2.454 + 2*t^3. + t^3.246 + t^3.273 + t^3.3 + t^4.118 + 2*t^4.363 + 3*t^4.609 + t^4.664 + 3*t^4.907 + 2*t^4.91 + t^5.21 + 3*t^5.454 + 2*t^5.727 - 3*t^6. + 2*t^6.273 + t^6.492 + t^6.519 + 2*t^6.571 + t^6.574 + t^6.601 + 3*t^6.817 + 4*t^7.063 + 2*t^7.118 + 4*t^7.361 + 3*t^7.363 + t^7.418 + 4*t^7.609 + 2*t^7.664 + 3*t^7.855 + 4*t^7.907 + 2*t^7.91 + t^7.964 + 3*t^8.181 - t^8.208 + 2*t^8.21 + t^8.235 - 6*t^8.454 + 2*t^8.481 + t^8.511 - 3*t^8.7 + 6*t^8.727 - 2*t^8.754 + t^8.782 + 4*t^8.973 - t^4.363/y - (2*t^6.817)/y + t^7.907/y + (2*t^7.91)/y + (4*t^8.454)/y + (2*t^8.7)/y + (2*t^8.727)/y + (2*t^8.754)/y - t^4.363*y - 2*t^6.817*y + t^7.907*y + 2*t^7.91*y + 4*t^8.454*y + 2*t^8.7*y + 2*t^8.727*y + 2*t^8.754*y	t^2.454/(g2^4*g3) + (g1^8*g3*t^2.454)/g2^4 + t^3./(g1^4*g3) + g1^4*g3*t^3. + t^3.246/g1^8 + (g2^2*t^3.273)/g1^2 + g1^4*g2^4*t^3.3 + (g1^9*t^4.118)/g2 + t^4.363/(g1^3*g2*g3) + (g1^5*g3*t^4.363)/g2 + t^4.609/(g1^7*g2) + t^4.609/(g1^15*g2*g3^2) + (g1*g3^2*t^4.609)/g2 + g1^5*g2^3*t^4.664 + (g1^8*t^4.907)/g2^8 + t^4.907/(g2^8*g3^2) + (g1^16*g3^2*t^4.907)/g2^8 + (g2^3*t^4.91)/(g1^7*g3) + g1*g2^3*g3*t^4.91 + g1*g2^7*t^5.21 + (g1^4*t^5.454)/g2^4 + t^5.454/(g1^4*g2^4*g3^2) + (g1^12*g3^2*t^5.454)/g2^4 + t^5.727/(g1^2*g2^2*g3) + (g1^6*g3*t^5.727)/g2^2 - 3*t^6. + (g2^2*t^6.273)/(g1^6*g3) + g1^2*g2^2*g3*t^6.273 + t^6.492/g1^16 + (g2^2*t^6.519)/g1^10 + (g1^9*t^6.571)/(g2^5*g3) + (g1^17*g3*t^6.571)/g2^5 + g1^2*g2^6*t^6.574 + g1^8*g2^8*t^6.601 + (g1^5*t^6.817)/g2^5 + t^6.817/(g1^3*g2^5*g3^2) + (g1^13*g3^2*t^6.817)/g2^5 + t^7.063/(g1^15*g2^5*g3^3) + t^7.063/(g1^7*g2^5*g3) + (g1*g3*t^7.063)/g2^5 + (g1^9*g3^3*t^7.063)/g2^5 + (g1^5*t^7.118)/(g2*g3) + (g1^13*g3*t^7.118)/g2 + t^7.361/(g2^12*g3^3) + (g1^8*t^7.361)/(g2^12*g3) + (g1^16*g3*t^7.361)/g2^12 + (g1^24*g3^3*t^7.361)/g2^12 + (g1*t^7.363)/g2 + t^7.363/(g1^7*g2*g3^2) + (g1^9*g3^2*t^7.363)/g2 + g1^13*g2^3*t^7.418 + t^7.609/(g1^19*g2*g3^3) + t^7.609/(g1^11*g2*g3) + (g3*t^7.609)/(g1^3*g2) + (g1^5*g3^3*t^7.609)/g2 + (g1*g2^3*t^7.664)/g3 + g1^9*g2^3*g3*t^7.664 + t^7.855/(g1^15*g2) + t^7.855/(g1^23*g2*g3^2) + (g3^2*t^7.855)/(g1^7*g2) + t^7.907/(g1^4*g2^8*g3^3) + (g1^4*t^7.907)/(g2^8*g3) + (g1^12*g3*t^7.907)/g2^8 + (g1^20*g3^3*t^7.907)/g2^8 + (g2^3*t^7.91)/(g1^11*g3^2) + g1^5*g2^3*g3^2*t^7.91 + g1^9*g2^7*t^7.964 + (g1^6*t^8.181)/g2^6 + t^8.181/(g1^2*g2^6*g3^2) + (g1^14*g3^2*t^8.181)/g2^6 - (g1^12*t^8.208)/g2^4 + (g2^7*t^8.21)/(g1^3*g3) + g1^5*g2^7*g3*t^8.21 + (g1^18*t^8.235)/g2^2 - (3*t^8.454)/(g2^4*g3) - (3*g1^8*g3*t^8.454)/g2^4 + (g1^6*t^8.481)/(g2^2*g3) + (g1^14*g3*t^8.481)/g2^2 + g1^5*g2^11*t^8.511 - t^8.7/(g1^4*g2^4) - t^8.7/(g1^12*g2^4*g3^2) - (g1^4*g3^2*t^8.7)/g2^4 + (2*g1^2*t^8.727)/g2^2 + (2*t^8.727)/(g1^6*g2^2*g3^2) + (2*g1^10*g3^2*t^8.727)/g2^2 - 2*g1^8*t^8.754 + g1^14*g2^2*t^8.782 + t^8.973/(g1^18*g2^2*g3^3) + t^8.973/(g1^10*g2^2*g3) + (g3*t^8.973)/(g1^2*g2^2) + (g1^6*g3^3*t^8.973)/g2^2 - (g1*t^4.363)/(g2*y) - (g1*t^6.817)/(g2^5*g3*y) - (g1^9*g3*t^6.817)/(g2^5*y) + (g1^8*t^7.907)/(g2^8*y) + (g2^3*t^7.91)/(g1^7*g3*y) + (g1*g2^3*g3*t^7.91)/y + (2*g1^4*t^8.454)/(g2^4*y) + t^8.454/(g1^4*g2^4*g3^2*y) + (g1^12*g3^2*t^8.454)/(g2^4*y) + t^8.7/(g1^8*g2^4*g3*y) + (g3*t^8.7)/(g2^4*y) + t^8.727/(g1^2*g2^2*g3*y) + (g1^6*g3*t^8.727)/(g2^2*y) + (g1^4*t^8.754)/(g3*y) + (g1^12*g3*t^8.754)/y - (g1*t^4.363*y)/g2 - (g1*t^6.817*y)/(g2^5*g3) - (g1^9*g3*t^6.817*y)/g2^5 + (g1^8*t^7.907*y)/g2^8 + (g2^3*t^7.91*y)/(g1^7*g3) + g1*g2^3*g3*t^7.91*y + (2*g1^4*t^8.454*y)/g2^4 + (t^8.454*y)/(g1^4*g2^4*g3^2) + (g1^12*g3^2*t^8.454*y)/g2^4 + (t^8.7*y)/(g1^8*g2^4*g3) + (g3*t^8.7*y)/g2^4 + (t^8.727*y)/(g1^2*g2^2*g3) + (g1^6*g3*t^8.727*y)/g2^2 + (g1^4*t^8.754*y)/g3 + g1^12*g3*t^8.754*y

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
46769	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$	0.7195	0.8802	0.8175	[M:[0.9749, 0.7932, 0.8434, 1.0251, 1.0909, 0.9749], q:[0.5664, 0.4588], qb:[0.6405, 0.5161], phi:[0.4546]]	t^2.379 + t^2.53 + 2*t^2.925 + t^3.247 + t^3.273 + t^3.298 + t^4.116 + t^4.288 + t^4.439 + t^4.46 + t^4.611 + t^4.661 + t^4.759 + t^4.762 + t^4.833 + t^4.91 + t^4.984 + t^5.06 + t^5.207 + 2*t^5.304 + t^5.455 + t^5.652 + t^5.803 + 2*t^5.849 - 4*t^6. - t^4.364/y - t^4.364*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
46023	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$	0.7546	0.9174	0.8226	[M:[0.7904, 0.7904, 0.7904, 0.7904, 1.2096], q:[0.6048, 0.6048], qb:[0.6048, 0.6048], phi:[0.3952]]	4*t^2.371 + 3*t^3.629 + 10*t^4.743 + 10*t^4.814 - 4*t^6. - t^4.186/y - t^4.186*y	detail