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
45848	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$	0.7406	0.896	0.8266	[M:[0.7809, 0.7809], q:[0.6288, 0.5903], qb:[0.5903, 0.5518], phi:[0.4097]]	[M:[[-4, -2, 1], [-2, -4, 1]], q:[[2, 2, -1], [2, 0, 0]], qb:[[0, 2, 0], [0, 0, 1]], phi:[[-1, -1, 0]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$	${}\phi_{1}^{2}q_{1}\tilde{q}_{2}$	-4	2*t^2.343 + t^2.458 + 2*t^3.426 + 2*t^3.542 + t^4.54 + 2*t^4.655 + 3*t^4.685 + 4*t^4.771 + 2*t^4.801 + 2*t^4.886 + t^4.916 + t^5.002 + 3*t^5.769 + 2*t^5.885 - 4*t^6. - 4*t^6.115 - t^6.231 + 3*t^6.853 + 2*t^6.883 + 4*t^6.968 + 4*t^6.998 + 4*t^7.028 + 2*t^7.084 + 6*t^7.114 + 3*t^7.143 + 3*t^7.229 + 2*t^7.259 + t^7.374 + 2*t^7.966 + 4*t^8.082 + 4*t^8.112 + 6*t^8.197 + 2*t^8.227 + 3*t^8.313 - 8*t^8.343 - 8*t^8.458 - 4*t^8.574 - t^4.229/y - (2*t^6.572)/y - t^6.687/y + t^7.685/y + t^7.771/y + (2*t^7.801)/y + (2*t^7.886)/y + (4*t^8.769)/y + (6*t^8.885)/y - (3*t^8.914)/y - t^4.229*y - 2*t^6.572*y - t^6.687*y + t^7.685*y + t^7.771*y + 2*t^7.801*y + 2*t^7.886*y + 4*t^8.769*y + 6*t^8.885*y - 3*t^8.914*y	(g3*t^2.343)/(g1^2*g2^4) + (g3*t^2.343)/(g1^4*g2^2) + t^2.458/(g1^2*g2^2) + g1^2*g3*t^3.426 + g2^2*g3*t^3.426 + 2*g1^2*g2^2*t^3.542 + (g3^2*t^4.54)/(g1*g2) + (g1*g3*t^4.655)/g2 + (g2*g3*t^4.655)/g1 + (g3^2*t^4.685)/(g1^4*g2^8) + (g3^2*t^4.685)/(g1^6*g2^6) + (g3^2*t^4.685)/(g1^8*g2^4) + (g1^3*t^4.771)/g2 + 2*g1*g2*t^4.771 + (g2^3*t^4.771)/g1 + (g3*t^4.801)/(g1^4*g2^6) + (g3*t^4.801)/(g1^6*g2^4) + (g1^3*g2*t^4.886)/g3 + (g1*g2^3*t^4.886)/g3 + t^4.916/(g1^4*g2^4) + (g1^3*g2^3*t^5.002)/g3^2 + (g3^2*t^5.769)/g1^4 + (g3^2*t^5.769)/g2^4 + (g3^2*t^5.769)/(g1^2*g2^2) + (g3*t^5.885)/g1^2 + (g3*t^5.885)/g2^2 - 2*t^6. - (g1^2*t^6.)/g2^2 - (g2^2*t^6.)/g1^2 - (2*g1^2*t^6.115)/g3 - (2*g2^2*t^6.115)/g3 - (g1^2*g2^2*t^6.231)/g3^2 + g1^4*g3^2*t^6.853 + g1^2*g2^2*g3^2*t^6.853 + g2^4*g3^2*t^6.853 + (g3^3*t^6.883)/(g1^3*g2^5) + (g3^3*t^6.883)/(g1^5*g2^3) + 2*g1^4*g2^2*g3*t^6.968 + 2*g1^2*g2^4*g3*t^6.968 + (g3^2*t^6.998)/(g1*g2^5) + (2*g3^2*t^6.998)/(g1^3*g2^3) + (g3^2*t^6.998)/(g1^5*g2) + (g3^3*t^7.028)/(g1^6*g2^12) + (g3^3*t^7.028)/(g1^8*g2^10) + (g3^3*t^7.028)/(g1^10*g2^8) + (g3^3*t^7.028)/(g1^12*g2^6) + 2*g1^4*g2^4*t^7.084 + (g1*g3*t^7.114)/g2^5 + (2*g3*t^7.114)/(g1*g2^3) + (2*g3*t^7.114)/(g1^3*g2) + (g2*g3*t^7.114)/g1^5 + (g3^2*t^7.143)/(g1^6*g2^10) + (g3^2*t^7.143)/(g1^8*g2^8) + (g3^2*t^7.143)/(g1^10*g2^6) + (g1*t^7.229)/g2^3 + t^7.229/(g1*g2) + (g2*t^7.229)/g1^3 + (g3*t^7.259)/(g1^6*g2^8) + (g3*t^7.259)/(g1^8*g2^6) + t^7.374/(g1^6*g2^6) + (g1*g3^3*t^7.966)/g2 + (g2*g3^3*t^7.966)/g1 + (g1^3*g3^2*t^8.082)/g2 + 2*g1*g2*g3^2*t^8.082 + (g2^3*g3^2*t^8.082)/g1 + (g3^3*t^8.112)/(g1^2*g2^8) + (g3^3*t^8.112)/(g1^4*g2^6) + (g3^3*t^8.112)/(g1^6*g2^4) + (g3^3*t^8.112)/(g1^8*g2^2) + (g1^5*g3*t^8.197)/g2 + 2*g1^3*g2*g3*t^8.197 + 2*g1*g2^3*g3*t^8.197 + (g2^5*g3*t^8.197)/g1 + (g3^2*t^8.227)/(g1^2*g2^6) + (g3^2*t^8.227)/(g1^6*g2^2) + g1^5*g2*t^8.313 + g1^3*g2^3*t^8.313 + g1*g2^5*t^8.313 - (g3*t^8.343)/g1^6 - (g3*t^8.343)/g2^6 - (3*g3*t^8.343)/(g1^2*g2^4) - (3*g3*t^8.343)/(g1^4*g2^2) - (2*t^8.458)/g1^4 - (2*t^8.458)/g2^4 - (4*t^8.458)/(g1^2*g2^2) - (2*t^8.574)/(g1^2*g3) - (2*t^8.574)/(g2^2*g3) - t^4.229/(g1*g2*y) - (g3*t^6.572)/(g1^3*g2^5*y) - (g3*t^6.572)/(g1^5*g2^3*y) - t^6.687/(g1^3*g2^3*y) + (g3^2*t^7.685)/(g1^6*g2^6*y) + (g1*g2*t^7.771)/y + (g3*t^7.801)/(g1^4*g2^6*y) + (g3*t^7.801)/(g1^6*g2^4*y) + (g1^3*g2*t^7.886)/(g3*y) + (g1*g2^3*t^7.886)/(g3*y) + (g3^2*t^8.769)/(g1^4*y) + (g3^2*t^8.769)/(g2^4*y) + (2*g3^2*t^8.769)/(g1^2*g2^2*y) + (3*g3*t^8.885)/(g1^2*y) + (3*g3*t^8.885)/(g2^2*y) - (g3^2*t^8.914)/(g1^5*g2^9*y) - (g3^2*t^8.914)/(g1^7*g2^7*y) - (g3^2*t^8.914)/(g1^9*g2^5*y) - (t^4.229*y)/(g1*g2) - (g3*t^6.572*y)/(g1^3*g2^5) - (g3*t^6.572*y)/(g1^5*g2^3) - (t^6.687*y)/(g1^3*g2^3) + (g3^2*t^7.685*y)/(g1^6*g2^6) + g1*g2*t^7.771*y + (g3*t^7.801*y)/(g1^4*g2^6) + (g3*t^7.801*y)/(g1^6*g2^4) + (g1^3*g2*t^7.886*y)/g3 + (g1*g2^3*t^7.886*y)/g3 + (g3^2*t^8.769*y)/g1^4 + (g3^2*t^8.769*y)/g2^4 + (2*g3^2*t^8.769*y)/(g1^2*g2^2) + (3*g3*t^8.885*y)/g1^2 + (3*g3*t^8.885*y)/g2^2 - (g3^2*t^8.914*y)/(g1^5*g2^9) - (g3^2*t^8.914*y)/(g1^7*g2^7) - (g3^2*t^8.914*y)/(g1^9*g2^5)

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
45921	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{2}$	0.7262	0.8734	0.8315	[M:[0.8033, 0.8033, 1.1539], q:[0.6197, 0.5769], qb:[0.5769, 0.5341], phi:[0.4231]]	2*t^2.41 + 2*t^3.333 + 3*t^3.462 + t^4.474 + 2*t^4.602 + 4*t^4.731 + 3*t^4.82 + 2*t^4.859 + t^4.988 + 3*t^5.743 + 2*t^5.872 - 6*t^6. - t^4.269/y - t^4.269*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
45838	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$	0.7406	0.8961	0.8265	[M:[0.7808, 0.7808], q:[0.6298, 0.5894], qb:[0.5894, 0.5527], phi:[0.4097]]	2*t^2.342 + t^2.458 + 2*t^3.426 + t^3.536 + t^3.547 + t^4.545 + 2*t^4.655 + 3*t^4.685 + 3*t^4.765 + t^4.776 + 2*t^4.801 + 2*t^4.887 + t^4.916 + t^5.008 + 3*t^5.769 + 2*t^5.884 + t^5.995 - 6*t^6. - t^4.229/y - t^4.229*y	detail