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
2422	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$	0.637	0.8543	0.7456	[M:[0.9203, 1.2391, 0.7609, 0.7609, 0.6992, 0.7609, 1.0797], q:[0.7301, 0.3496], qb:[0.3496, 0.4113], phi:[0.5398]]	[M:[[4], [-12], [12], [12], [-10], [12], [-4]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	${}M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$	-1	2*t^2.098 + 4*t^2.283 + 3*t^3.239 + t^3.424 + t^3.717 + t^3.902 + t^4.087 + 3*t^4.195 + 8*t^4.38 + 10*t^4.565 + 6*t^5.337 + 13*t^5.522 + 4*t^5.707 - t^6. + 3*t^6.185 + 4*t^6.293 + 4*t^6.37 + 13*t^6.478 + 20*t^6.663 + 20*t^6.848 - 2*t^7.141 + 2*t^7.326 + 7*t^7.435 + t^7.511 + 18*t^7.62 + 30*t^7.805 - t^7.913 + 11*t^7.99 - 11*t^8.098 + t^8.175 - 13*t^8.283 + 5*t^8.391 + 6*t^8.468 + 18*t^8.576 + 10*t^8.653 + 33*t^8.761 + 40*t^8.946 - t^4.62/y - t^6.717/y - (2*t^6.902)/y + t^7.195/y + (9*t^7.38)/y + (6*t^7.565)/y - t^7.859/y + (8*t^8.337)/y + (15*t^8.522)/y + (4*t^8.707)/y + t^8.815/y - t^4.62*y - t^6.717*y - 2*t^6.902*y + t^7.195*y + 9*t^7.38*y + 6*t^7.565*y - t^7.859*y + 8*t^8.337*y + 15*t^8.522*y + 4*t^8.707*y + t^8.815*y	(2*t^2.098)/g1^10 + 4*g1^12*t^2.283 + (3*t^3.239)/g1^4 + g1^18*t^3.424 + t^3.717/g1^12 + g1^10*t^3.902 + g1^32*t^4.087 + (3*t^4.195)/g1^20 + 8*g1^2*t^4.38 + 10*g1^24*t^4.565 + (6*t^5.337)/g1^14 + 13*g1^8*t^5.522 + 4*g1^30*t^5.707 - t^6. + 3*g1^22*t^6.185 + (4*t^6.293)/g1^30 + 4*g1^44*t^6.37 + (13*t^6.478)/g1^8 + 20*g1^14*t^6.663 + 20*g1^36*t^6.848 - 2*g1^6*t^7.141 + 2*g1^28*t^7.326 + (7*t^7.435)/g1^24 + g1^50*t^7.511 + (18*t^7.62)/g1^2 + 30*g1^20*t^7.805 - t^7.913/g1^32 + 11*g1^42*t^7.99 - (11*t^8.098)/g1^10 + g1^64*t^8.175 - 13*g1^12*t^8.283 + (5*t^8.391)/g1^40 + 6*g1^34*t^8.468 + (18*t^8.576)/g1^18 + 10*g1^56*t^8.653 + 33*g1^4*t^8.761 + 40*g1^26*t^8.946 - t^4.62/(g1^2*y) - t^6.717/(g1^12*y) - (2*g1^10*t^6.902)/y + t^7.195/(g1^20*y) + (9*g1^2*t^7.38)/y + (6*g1^24*t^7.565)/y - t^7.859/(g1^6*y) + (8*t^8.337)/(g1^14*y) + (15*g1^8*t^8.522)/y + (4*g1^30*t^8.707)/y + t^8.815/(g1^22*y) - (t^4.62*y)/g1^2 - (t^6.717*y)/g1^12 - 2*g1^10*t^6.902*y + (t^7.195*y)/g1^20 + 9*g1^2*t^7.38*y + 6*g1^24*t^7.565*y - (t^7.859*y)/g1^6 + (8*t^8.337*y)/g1^14 + 15*g1^8*t^8.522*y + 4*g1^30*t^8.707*y + (t^8.815*y)/g1^22

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
4461	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$	0.6504	0.8761	0.7424	[M:[0.9262, 1.2213, 0.7787, 0.7787, 0.6844, 0.7787, 1.0738, 0.8319], q:[0.7316, 0.3422], qb:[0.3422, 0.4366], phi:[0.5369]]	2*t^2.053 + 4*t^2.336 + t^2.496 + 3*t^3.221 + t^3.664 + t^3.947 + 3*t^4.106 + t^4.23 + 8*t^4.389 + 2*t^4.549 + 10*t^4.672 + 4*t^4.832 + t^4.991 + 6*t^5.274 + 11*t^5.557 + 3*t^5.717 - t^6. - t^4.611/y - t^4.611*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
1365	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6444	0.8674	0.7428	[M:[0.9187, 1.244, 0.756, 0.756, 0.7033, 0.756], q:[0.7297, 0.3517], qb:[0.3517, 0.4044], phi:[0.5407]]	2*t^2.11 + 4*t^2.268 + t^2.756 + 2*t^3.244 + t^3.402 + t^3.732 + t^3.89 + t^4.048 + 3*t^4.22 + 8*t^4.378 + 10*t^4.536 + 2*t^4.866 + 4*t^5.024 + 4*t^5.354 + 10*t^5.512 + 4*t^5.67 + t^6. - t^4.622/y - t^4.622*y	detail