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
60098	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$	1.4796	1.7105	0.865	[X:[], M:[0.9902, 0.6815], q:[0.4376, 0.4405], qb:[0.561, 0.5415], phi:[0.3366]]	[X:[], M:[[0, 9], [-1, -10]], q:[[-1, 10], [1, 0]], qb:[[0, -5], [0, 13]], phi:[[0, -3]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$	${}$	-2	t^2.02 + t^2.04 + t^2.94 + t^2.95 + t^2.97 + 2*t^3. + t^3.95 + 2*t^4.01 + t^4.04 + t^4.06 + t^4.09 + 3*t^4.96 + 3*t^4.97 + t^4.98 + 2*t^4.99 + 5*t^5.02 + t^5.04 + t^5.05 + t^5.87 + t^5.88 + t^5.89 + t^5.91 + t^5.92 + t^5.93 + 3*t^5.94 + t^5.95 + 3*t^5.97 + 2*t^5.98 + t^5.99 - 2*t^6. + t^6.02 + t^6.03 + t^6.05 + t^6.06 + t^6.08 + t^6.11 + t^6.13 + t^6.88 + t^6.89 + t^6.92 + 2*t^6.94 + 2*t^6.95 + t^6.96 + t^6.97 + 10*t^6.98 + t^6.99 + 3*t^7. + 3*t^7.01 + 5*t^7.03 + 2*t^7.04 + 3*t^7.06 + t^7.07 + t^7.08 + t^7.09 + 4*t^7.89 + 6*t^7.9 + 3*t^7.91 + t^7.92 + 3*t^7.93 + 3*t^7.94 + 5*t^7.95 + 8*t^7.96 + 3*t^7.97 + t^7.98 + 7*t^7.99 + 3*t^8.01 + t^8.05 + t^8.07 + t^8.08 + t^8.09 + t^8.1 + t^8.13 + t^8.15 + t^8.18 + t^8.81 + t^8.82 + t^8.83 + 2*t^8.84 + t^8.85 + t^8.86 + t^8.87 + 3*t^8.88 + 3*t^8.89 + 6*t^8.9 + 7*t^8.91 + 2*t^8.92 + t^8.93 - t^8.94 - 3*t^8.95 + 6*t^8.96 + 3*t^8.97 + 3*t^8.98 + 3*t^8.99 - t^4.01/y - t^5.02/y - t^6.03/y - t^6.05/y - t^6.95/y - t^6.96/y - t^6.98/y - (2*t^7.01)/y - t^7.04/y + t^7.97/y + t^7.98/y + (2*t^7.99)/y + t^8.02/y + t^8.04/y - t^8.07/y - t^8.1/y + t^8.88/y + t^8.91/y + t^8.92/y + t^8.93/y + (2*t^8.94)/y + t^8.95/y - t^4.01*y - t^5.02*y - t^6.03*y - t^6.05*y - t^6.95*y - t^6.96*y - t^6.98*y - 2*t^7.01*y - t^7.04*y + t^7.97*y + t^7.98*y + 2*t^7.99*y + t^8.02*y + t^8.04*y - t^8.07*y - t^8.1*y + t^8.88*y + t^8.91*y + t^8.92*y + t^8.93*y + 2*t^8.94*y + t^8.95*y	t^2.02/g2^6 + t^2.04/(g1*g2^10) + (g2^23*t^2.94)/g1 + g1*g2^13*t^2.95 + g2^9*t^2.97 + (g1*t^3.)/g2^5 + (g2^5*t^3.)/g1 + (g2^20*t^3.95)/g1 + (g1*t^4.01)/g2^8 + (g2^2*t^4.01)/g1 + t^4.04/g2^12 + t^4.06/(g1*g2^16) + t^4.09/(g1^2*g2^20) + (3*g2^17*t^4.96)/g1 + 3*g1*g2^7*t^4.97 + (g2^13*t^4.98)/g1^2 + 2*g2^3*t^4.99 + (2*g1*t^5.02)/g2^11 + (3*t^5.02)/(g1*g2) + t^5.04/(g1^2*g2^5) + t^5.05/g2^15 + (g2^46*t^5.87)/g1^2 + g2^36*t^5.88 + g1^2*g2^26*t^5.89 + (g2^32*t^5.91)/g1 + g1*g2^22*t^5.92 + (g2^28*t^5.93)/g1^2 + 3*g2^18*t^5.94 + g1^2*g2^8*t^5.95 + (3*g2^14*t^5.97)/g1 + 2*g1*g2^4*t^5.98 + (g2^10*t^5.99)/g1^2 - 2*t^6. + t^6.02/(g1*g2^4) + (g1*t^6.03)/g2^14 + t^6.05/(g1^2*g2^8) + t^6.06/g2^18 + t^6.08/(g1*g2^22) + t^6.11/(g1^2*g2^26) + t^6.13/(g1^3*g2^30) + (g2^43*t^6.88)/g1^2 + g2^33*t^6.89 + (g2^29*t^6.92)/g1 + (2*g2^25*t^6.94)/g1^2 + 2*g2^15*t^6.95 + g1^2*g2^5*t^6.96 + (g2^21*t^6.97)/g1^3 + 5*g1*g2*t^6.98 + (5*g2^11*t^6.98)/g1 + (g1^3*t^6.99)/g2^9 + (3*g2^7*t^7.)/g1^2 + (3*t^7.01)/g2^3 + (4*t^7.03)/(g1*g2^7) + (g2^3*t^7.03)/g1^3 + (2*g1*t^7.04)/g2^17 + (3*t^7.06)/(g1^2*g2^11) + t^7.07/g2^21 + t^7.08/(g1^3*g2^15) + t^7.09/(g1*g2^25) + (4*g2^40*t^7.89)/g1^2 + 6*g2^30*t^7.9 + 3*g1^2*g2^20*t^7.91 + (g2^36*t^7.92)/g1^3 + (3*g2^26*t^7.93)/g1 + 3*g1*g2^16*t^7.94 + (5*g2^22*t^7.95)/g1^2 + 8*g2^12*t^7.96 + 3*g1^2*g2^2*t^7.97 + (g2^18*t^7.98)/g1^3 + (2*g1*t^7.99)/g2^2 + (5*g2^8*t^7.99)/g1 + (3*g2^4*t^8.01)/g1^2 + t^8.04/g1^3 - t^8.04/(g1*g2^10) + (g1*t^8.05)/g2^20 + t^8.07/(g1^2*g2^14) + t^8.08/g2^24 + t^8.09/(g1^3*g2^18) + t^8.1/(g1*g2^28) + t^8.13/(g1^2*g2^32) + t^8.15/(g1^3*g2^36) + t^8.18/(g1^4*g2^40) + (g2^69*t^8.81)/g1^3 + (g2^59*t^8.82)/g1 + g1*g2^49*t^8.83 + g1^3*g2^39*t^8.84 + (g2^55*t^8.84)/g1^2 + g2^45*t^8.85 + g1^2*g2^35*t^8.86 + (g2^51*t^8.87)/g1^3 + (3*g2^41*t^8.88)/g1 + 3*g1*g2^31*t^8.89 + g1^3*g2^21*t^8.9 + (5*g2^37*t^8.9)/g1^2 + 7*g2^27*t^8.91 + 2*g1^2*g2^17*t^8.92 + (g2^33*t^8.93)/g1^3 - (g2^23*t^8.94)/g1 - 3*g1*g2^13*t^8.95 + (6*g2^19*t^8.96)/g1^2 + 3*g2^9*t^8.97 + (3*g1^2*t^8.98)/g2 + (3*g2^15*t^8.99)/g1^3 - t^4.01/(g2^3*y) - t^5.02/(g2^6*y) - t^6.03/(g2^9*y) - t^6.05/(g1*g2^13*y) - (g2^20*t^6.95)/(g1*y) - (g1*g2^10*t^6.96)/y - (g2^6*t^6.98)/y - (g1*t^7.01)/(g2^8*y) - (g2^2*t^7.01)/(g1*y) - t^7.04/(g2^12*y) + (g1*g2^7*t^7.97)/y + (g2^13*t^7.98)/(g1^2*y) + (2*g2^3*t^7.99)/y + t^8.02/(g1*g2*y) + t^8.04/(g1^2*g2^5*y) - t^8.07/(g1*g2^19*y) - t^8.1/(g1^2*g2^23*y) + (g2^36*t^8.88)/y + (g2^32*t^8.91)/(g1*y) + (g1*g2^22*t^8.92)/y + (g2^28*t^8.93)/(g1^2*y) + (2*g2^18*t^8.94)/y + (g1^2*g2^8*t^8.95)/y - (t^4.01*y)/g2^3 - (t^5.02*y)/g2^6 - (t^6.03*y)/g2^9 - (t^6.05*y)/(g1*g2^13) - (g2^20*t^6.95*y)/g1 - g1*g2^10*t^6.96*y - g2^6*t^6.98*y - (g1*t^7.01*y)/g2^8 - (g2^2*t^7.01*y)/g1 - (t^7.04*y)/g2^12 + g1*g2^7*t^7.97*y + (g2^13*t^7.98*y)/g1^2 + 2*g2^3*t^7.99*y + (t^8.02*y)/(g1*g2) + (t^8.04*y)/(g1^2*g2^5) - (t^8.07*y)/(g1*g2^19) - (t^8.1*y)/(g1^2*g2^23) + g2^36*t^8.88*y + (g2^32*t^8.91*y)/g1 + g1*g2^22*t^8.92*y + (g2^28*t^8.93*y)/g1^2 + 2*g2^18*t^8.94*y + g1^2*g2^8*t^8.95*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
61206	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$	1.4794	1.7091	0.8656	[X:[], M:[0.9947, 0.6807], q:[0.4468, 0.4362], qb:[0.5585, 0.5479], phi:[0.3351]]	t^2.01 + t^2.04 + t^2.95 + 3*t^2.98 + t^3.02 + 2*t^3.99 + 2*t^4.02 + t^4.05 + t^4.08 + 3*t^4.96 + 7*t^4.99 + 5*t^5.03 + t^5.06 + t^5.9 + 3*t^5.94 + 7*t^5.97 + 3*t^6. - t^4.01/y - t^5.01/y - t^4.01*y - t^5.01*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
57485	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	1.4589	1.6703	0.8734	[X:[], M:[0.9886], q:[0.4381, 0.4381], qb:[0.5619, 0.5391], phi:[0.3371]]	t^2.02 + 2*t^2.93 + t^2.97 + 2*t^3. + 2*t^3.94 + 2*t^4.01 + t^4.05 + 6*t^4.95 + t^4.99 + 4*t^5.02 + 3*t^5.86 + 2*t^5.9 + 5*t^5.93 + 6*t^5.97 - 2*t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y	detail