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
56160	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{8}$	0.7274	0.8989	0.8092	[M:[1.0, 1.0276, 0.9724, 1.0866, 0.7993, 0.8544, 0.8268, 0.9724], q:[0.4134, 0.5866], qb:[0.559, 0.6142], phi:[0.4567]]	[M:[[0, 0], [-2, 2], [2, -2], [2, 2], [-2, -6], [-6, -2], [-4, -4], [2, -2]], q:[[-2, -2], [2, 2]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{8}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{8}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{8}^{2}$	${}$	-3	t^2.398 + t^2.481 + t^2.563 + 2*t^2.917 + t^3. + t^3.26 + t^3.851 + t^4.287 + t^4.37 + t^4.453 + t^4.724 + t^4.796 + t^4.807 + t^4.878 + 2*t^4.89 + 2*t^4.961 + t^4.972 + t^5.044 + t^5.055 + t^5.127 + 2*t^5.315 + 2*t^5.398 + 2*t^5.481 + t^5.658 + t^5.74 + t^5.823 + 2*t^5.834 - 3*t^6. - 2*t^6.083 - t^6.166 + 2*t^6.177 + t^6.248 + t^6.26 + t^6.331 + t^6.414 - t^6.437 - t^6.519 - t^6.602 + t^6.685 + 3*t^6.768 + 3*t^6.851 + t^6.933 + t^7.016 + t^7.122 + t^7.193 + 3*t^7.205 + t^7.276 + 4*t^7.287 + 2*t^7.359 + 3*t^7.37 + 2*t^7.442 + 2*t^7.453 + 2*t^7.524 + t^7.536 + t^7.607 + t^7.618 + 2*t^7.641 + t^7.69 + t^7.701 + 2*t^7.713 + 2*t^7.724 + 2*t^7.796 + 2*t^7.807 + 3*t^7.878 + t^7.961 + t^8.044 + t^8.055 + 2*t^8.138 + 3*t^8.221 + 2*t^8.232 + 2*t^8.304 + t^8.315 - t^8.326 + t^8.386 - 3*t^8.398 - t^8.409 - 6*t^8.481 - t^8.492 - 6*t^8.563 + 3*t^8.575 - t^8.646 + 3*t^8.658 + 4*t^8.74 + 2*t^8.752 + 2*t^8.812 + t^8.823 - 2*t^8.834 + t^8.895 + t^8.906 - 8*t^8.917 + t^8.977 - t^4.37/y - t^6.768/y - t^6.851/y - t^6.933/y - t^7.287/y + t^7.453/y + t^7.807/y + t^7.878/y + t^7.89/y + t^7.961/y + t^7.972/y + t^8.044/y + (2*t^8.315)/y + (3*t^8.398)/y + (3*t^8.481)/y + t^8.563/y + t^8.658/y + t^8.74/y + t^8.823/y + t^8.834/y + (2*t^8.917)/y - t^4.37*y - t^6.768*y - t^6.851*y - t^6.933*y - t^7.287*y + t^7.453*y + t^7.807*y + t^7.878*y + t^7.89*y + t^7.961*y + t^7.972*y + t^8.044*y + 2*t^8.315*y + 3*t^8.398*y + 3*t^8.481*y + t^8.563*y + t^8.658*y + t^8.74*y + t^8.823*y + t^8.834*y + 2*t^8.917*y	t^2.398/(g1^2*g2^6) + t^2.481/(g1^4*g2^4) + t^2.563/(g1^6*g2^2) + (2*g1^2*t^2.917)/g2^2 + t^3. + g1^2*g2^2*t^3.26 + t^3.851/(g1^5*g2^5) + (g1*t^4.287)/g2^3 + t^4.37/(g1*g2) + (g2*t^4.453)/g1^3 + (g1^7*t^4.724)/g2 + t^4.796/(g1^4*g2^12) + g1^5*g2*t^4.807 + t^4.878/(g1^6*g2^10) + 2*g1^3*g2^3*t^4.89 + (2*t^4.961)/(g1^8*g2^8) + g1*g2^5*t^4.972 + t^5.044/(g1^10*g2^6) + (g2^7*t^5.055)/g1 + t^5.127/(g1^12*g2^4) + (2*t^5.315)/g2^8 + (2*t^5.398)/(g1^2*g2^6) + (2*t^5.481)/(g1^4*g2^4) + t^5.658/g2^4 + t^5.74/(g1^2*g2^2) + t^5.823/g1^4 + (2*g1^4*t^5.834)/g2^4 - 3*t^6. - (2*g2^2*t^6.083)/g1^2 - (g2^4*t^6.166)/g1^4 + 2*g1^4*t^6.177 + t^6.248/(g1^7*g2^11) + g1^2*g2^2*t^6.26 + t^6.331/(g1^9*g2^9) + t^6.414/(g1^11*g2^7) - g1^6*g2^2*t^6.437 - g1^4*g2^4*t^6.519 - g1^2*g2^6*t^6.602 + t^6.685/(g1*g2^9) + (3*t^6.768)/(g1^3*g2^7) + (3*t^6.851)/(g1^5*g2^5) + t^6.933/(g1^7*g2^3) + t^7.016/(g1^9*g2) + (g1^5*t^7.122)/g2^7 + t^7.193/(g1^6*g2^18) + (3*g1^3*t^7.205)/g2^5 + t^7.276/(g1^8*g2^16) + (4*g1*t^7.287)/g2^3 + (2*t^7.359)/(g1^10*g2^14) + (3*t^7.37)/(g1*g2) + (2*t^7.442)/(g1^12*g2^12) + (2*g2*t^7.453)/g1^3 + (2*t^7.524)/(g1^14*g2^10) + (g2^3*t^7.536)/g1^5 + t^7.607/(g1^16*g2^8) + (g2^5*t^7.618)/g1^7 + (2*g1^9*t^7.641)/g2^3 + t^7.69/(g1^18*g2^6) + t^7.701/(g1^10*g2^10) + (2*t^7.713)/(g1^2*g2^14) + (2*g1^7*t^7.724)/g2 + (2*t^7.796)/(g1^4*g2^12) + 2*g1^5*g2*t^7.807 + (3*t^7.878)/(g1^6*g2^10) + t^7.961/(g1^8*g2^8) + t^8.044/(g1^10*g2^6) + t^8.055/(g1^2*g2^10) + (2*t^8.138)/(g1^4*g2^8) + (3*t^8.221)/(g1^6*g2^6) + (2*g1^2*t^8.232)/g2^10 + (2*t^8.304)/(g1^8*g2^4) + t^8.315/g2^8 - g1^9*g2^5*t^8.326 + t^8.386/(g1^10*g2^2) - (3*t^8.398)/(g1^2*g2^6) - g1^7*g2^7*t^8.409 - (6*t^8.481)/(g1^4*g2^4) - g1^5*g2^9*t^8.492 - (6*t^8.563)/(g1^6*g2^2) + (3*g1^2*t^8.575)/g2^6 - (2*t^8.646)/g1^8 + t^8.646/(g1^9*g2^17) + (3*t^8.658)/g2^4 + t^8.729/(g1^11*g2^15) - (g2^2*t^8.729)/g1^10 + (4*t^8.74)/(g1^2*g2^2) + (2*g1^6*t^8.752)/g2^6 + (2*t^8.812)/(g1^13*g2^13) + t^8.823/g1^4 - (2*g1^4*t^8.834)/g2^4 + t^8.895/(g1^15*g2^11) + (g2^2*t^8.906)/g1^6 - (8*g1^2*t^8.917)/g2^2 + t^8.977/(g1^17*g2^9) - t^4.37/(g1*g2*y) - t^6.768/(g1^3*g2^7*y) - t^6.851/(g1^5*g2^5*y) - t^6.933/(g1^7*g2^3*y) - (g1*t^7.287)/(g2^3*y) + (g2*t^7.453)/(g1^3*y) + (g1^5*g2*t^7.807)/y + t^7.878/(g1^6*g2^10*y) + (g1^3*g2^3*t^7.89)/y + t^7.961/(g1^8*g2^8*y) + (g1*g2^5*t^7.972)/y + t^8.044/(g1^10*g2^6*y) + (2*t^8.315)/(g2^8*y) + (3*t^8.398)/(g1^2*g2^6*y) + (3*t^8.481)/(g1^4*g2^4*y) + t^8.563/(g1^6*g2^2*y) + t^8.658/(g2^4*y) + t^8.74/(g1^2*g2^2*y) + t^8.823/(g1^4*y) + (g1^4*t^8.834)/(g2^4*y) + (2*g1^2*t^8.917)/(g2^2*y) - (t^4.37*y)/(g1*g2) - (t^6.768*y)/(g1^3*g2^7) - (t^6.851*y)/(g1^5*g2^5) - (t^6.933*y)/(g1^7*g2^3) - (g1*t^7.287*y)/g2^3 + (g2*t^7.453*y)/g1^3 + g1^5*g2*t^7.807*y + (t^7.878*y)/(g1^6*g2^10) + g1^3*g2^3*t^7.89*y + (t^7.961*y)/(g1^8*g2^8) + g1*g2^5*t^7.972*y + (t^8.044*y)/(g1^10*g2^6) + (2*t^8.315*y)/g2^8 + (3*t^8.398*y)/(g1^2*g2^6) + (3*t^8.481*y)/(g1^4*g2^4) + (t^8.563*y)/(g1^6*g2^2) + (t^8.658*y)/g2^4 + (t^8.74*y)/(g1^2*g2^2) + (t^8.823*y)/g1^4 + (g1^4*t^8.834*y)/g2^4 + (2*g1^2*t^8.917*y)/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
58320	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}\phi_{1}q_{1}^{2}$	0.7478	0.937	0.7981	[M:[1.0, 1.0276, 0.9724, 1.0817, 0.8091, 0.8643, 0.8367, 0.9724, 0.7042], q:[0.4183, 0.5817], qb:[0.5541, 0.6093], phi:[0.4592]]	t^2.112 + t^2.427 + t^2.51 + t^2.593 + 2*t^2.917 + t^3. + t^3.245 + t^4.225 + t^4.295 + t^4.378 + t^4.46 + t^4.54 + t^4.622 + t^4.702 + t^4.705 + t^4.785 + t^4.854 + 2*t^4.867 + t^4.937 + t^4.95 + 2*t^5.02 + 2*t^5.03 + t^5.033 + t^5.103 + t^5.112 + t^5.186 + 2*t^5.344 + t^5.357 + 2*t^5.427 + 2*t^5.51 + t^5.672 + t^5.755 + 2*t^5.834 + t^5.838 - 3*t^6. - t^4.378/y - t^4.378*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
50878	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$	0.7261	0.8959	0.8105	[M:[1.0, 1.0, 1.0, 1.0866, 0.8268, 0.8268, 0.8268], q:[0.4134, 0.5866], qb:[0.5866, 0.5866], phi:[0.4567]]	3*t^2.481 + 3*t^3. + t^3.26 + t^3.851 + 3*t^4.37 + 6*t^4.89 + 6*t^4.961 + 6*t^5.481 + 3*t^5.74 - 4*t^6. - t^4.37/y - t^4.37*y	detail