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
2935	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6448	0.8473	0.761	[M:[0.9867, 1.0399, 0.9867, 0.76, 0.7334, 0.7866], q:[0.7467, 0.2666], qb:[0.4668, 0.4934], phi:[0.5066]]	[M:[[4], [-12], [4], [-3], [5], [-11]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$	${}M_{4}q_{1}\tilde{q}_{2}$	-2	2*t^2.2 + 2*t^2.28 + t^2.36 + 2*t^2.96 + 2*t^3.12 + t^3.72 + t^4.321 + 4*t^4.4 + 5*t^4.48 + 5*t^4.56 + 2*t^4.64 + t^4.719 + 4*t^5.16 + 4*t^5.24 + 5*t^5.32 + 3*t^5.4 + 2*t^5.479 + 3*t^5.92 - 2*t^6. + 2*t^6.08 + 3*t^6.239 + 2*t^6.521 + 6*t^6.6 + 9*t^6.68 + 8*t^6.76 + 8*t^6.84 + 4*t^6.919 + 2*t^6.999 + t^7.079 + t^7.281 + 6*t^7.36 + 7*t^7.44 + 11*t^7.52 + 8*t^7.6 + 9*t^7.679 + 3*t^7.759 + 2*t^7.839 + 2*t^8.12 - 4*t^8.2 - 2*t^8.28 - 2*t^8.36 + 6*t^8.439 + 4*t^8.519 + 3*t^8.599 + t^8.641 + 4*t^8.721 + 9*t^8.801 + 13*t^8.88 + 5*t^8.96 - t^4.52/y - t^6.72/y - t^6.8/y - t^6.88/y + (2*t^7.4)/y + (3*t^7.48)/y + (4*t^7.56)/y + t^7.64/y + (5*t^8.16)/y + (5*t^8.24)/y + (7*t^8.32)/y + (4*t^8.4)/y + (2*t^8.479)/y + (2*t^8.92)/y - t^4.52*y - t^6.72*y - t^6.8*y - t^6.88*y + 2*t^7.4*y + 3*t^7.48*y + 4*t^7.56*y + t^7.64*y + 5*t^8.16*y + 5*t^8.24*y + 7*t^8.32*y + 4*t^8.4*y + 2*t^8.479*y + 2*t^8.92*y	2*g1^5*t^2.2 + (2*t^2.28)/g1^3 + t^2.36/g1^11 + 2*g1^4*t^2.96 + (2*t^3.12)/g1^12 + g1^3*t^3.72 + g1^18*t^4.321 + 4*g1^10*t^4.4 + 5*g1^2*t^4.48 + (5*t^4.56)/g1^6 + (2*t^4.64)/g1^14 + t^4.719/g1^22 + 4*g1^9*t^5.16 + 4*g1*t^5.24 + (5*t^5.32)/g1^7 + (3*t^5.4)/g1^15 + (2*t^5.479)/g1^23 + 3*g1^8*t^5.92 - 2*t^6. + (2*t^6.08)/g1^8 + (3*t^6.239)/g1^24 + 2*g1^23*t^6.521 + 6*g1^15*t^6.6 + 9*g1^7*t^6.68 + (8*t^6.76)/g1 + (8*t^6.84)/g1^9 + (4*t^6.919)/g1^17 + (2*t^6.999)/g1^25 + t^7.079/g1^33 + g1^22*t^7.281 + 6*g1^14*t^7.36 + 7*g1^6*t^7.44 + (11*t^7.52)/g1^2 + (8*t^7.6)/g1^10 + (9*t^7.679)/g1^18 + (3*t^7.759)/g1^26 + (2*t^7.839)/g1^34 + 2*g1^13*t^8.12 - 4*g1^5*t^8.2 - (2*t^8.28)/g1^3 - (2*t^8.36)/g1^11 + (6*t^8.439)/g1^19 + (4*t^8.519)/g1^27 + (3*t^8.599)/g1^35 + g1^36*t^8.641 + 4*g1^28*t^8.721 + 9*g1^20*t^8.801 + 13*g1^12*t^8.88 + 5*g1^4*t^8.96 - t^4.52/(g1^2*y) - (g1^3*t^6.72)/y - t^6.8/(g1^5*y) - t^6.88/(g1^13*y) + (2*g1^10*t^7.4)/y + (3*g1^2*t^7.48)/y + (4*t^7.56)/(g1^6*y) + t^7.64/(g1^14*y) + (5*g1^9*t^8.16)/y + (5*g1*t^8.24)/y + (7*t^8.32)/(g1^7*y) + (4*t^8.4)/(g1^15*y) + (2*t^8.479)/(g1^23*y) + (2*g1^8*t^8.92)/y - (t^4.52*y)/g1^2 - g1^3*t^6.72*y - (t^6.8*y)/g1^5 - (t^6.88*y)/g1^13 + 2*g1^10*t^7.4*y + 3*g1^2*t^7.48*y + (4*t^7.56*y)/g1^6 + (t^7.64*y)/g1^14 + 5*g1^9*t^8.16*y + 5*g1*t^8.24*y + (7*t^8.32*y)/g1^7 + (4*t^8.4*y)/g1^15 + (2*t^8.479*y)/g1^23 + 2*g1^8*t^8.92*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
3521	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$	0.6361	0.8372	0.7598	[M:[0.9565, 1.1304, 0.9565, 0.7826, 0.6957, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]]	2*t^2.087 + 2*t^2.348 + t^2.609 + 2*t^2.87 + 2*t^3.391 + t^3.652 + t^3.913 + 4*t^4.174 + 5*t^4.435 + 5*t^4.696 + 6*t^4.957 + 5*t^5.217 + 5*t^5.478 + 6*t^5.739 + 2*t^6. - t^4.565/y - t^4.565*y	detail	{a: 61917/97336, c: 40745/48668, M1: 22/23, M2: 26/23, M3: 22/23, M4: 18/23, M5: 16/23, M6: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23}
3522	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6634	0.8811	0.753	[M:[0.9884, 1.0347, 0.9884, 0.7587, 0.7355, 0.7818, 0.7587], q:[0.7471, 0.2645], qb:[0.4711, 0.4942], phi:[0.5058]]	2*t^2.207 + 3*t^2.276 + t^2.345 + 2*t^2.965 + 2*t^3.104 + t^4.344 + 4*t^4.413 + 7*t^4.483 + 8*t^4.552 + 3*t^4.621 + t^4.691 + 4*t^5.172 + 6*t^5.241 + 5*t^5.311 + 5*t^5.38 + 2*t^5.449 + t^5.931 - 4*t^6. - t^4.517/y - t^4.517*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
1906	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	0.6282	0.8185	0.7675	[M:[0.9776, 1.0673, 0.9776, 0.7668, 0.7219], q:[0.7444, 0.2781], qb:[0.4439, 0.4888], phi:[0.5112]]	2*t^2.166 + 2*t^2.3 + 2*t^2.933 + 2*t^3.202 + t^3.565 + t^3.7 + t^4.197 + 4*t^4.332 + 5*t^4.466 + 3*t^4.601 + 4*t^5.099 + 4*t^5.233 + 3*t^5.368 + 3*t^5.502 + 2*t^5.731 + 5*t^5.865 - 2*t^6. - t^4.534/y - t^4.534*y	detail