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
2040	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6079	0.7795	0.7799	[M:[0.9787, 1.0638, 0.9787, 0.7447, 1.2553, 0.7872], q:[0.7447, 0.2766], qb:[0.4681, 0.4681], phi:[0.5106]]	[M:[[4], [-12], [4], [1], [-1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	${}M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	-1	2*t^2.234 + t^2.362 + 2*t^2.936 + 2*t^3.192 + t^3.638 + 2*t^3.766 + 3*t^4.34 + 3*t^4.468 + 2*t^4.596 + t^4.723 + 4*t^5.17 + 2*t^5.298 + 2*t^5.426 + 2*t^5.553 + 4*t^5.872 - t^6. + 4*t^6.128 + 3*t^6.383 + 4*t^6.574 + 7*t^6.702 + t^6.83 + 4*t^6.957 + t^7.085 + 4*t^7.277 + 3*t^7.404 + 5*t^7.532 + 4*t^7.66 + 2*t^7.787 + 2*t^7.915 + t^7.979 + 7*t^8.106 - 2*t^8.234 - t^8.362 + 4*t^8.489 + 2*t^8.617 + 5*t^8.681 + 3*t^8.745 + 7*t^8.808 - 2*t^8.936 - t^4.532/y - t^6.894/y + t^7.34/y + (3*t^7.596)/y - t^7.723/y + (5*t^8.17)/y + (2*t^8.298)/y + (4*t^8.426)/y + (2*t^8.553)/y + (3*t^8.872)/y - t^4.532*y - t^6.894*y + t^7.34*y + 3*t^7.596*y - t^7.723*y + 5*t^8.17*y + 2*t^8.298*y + 4*t^8.426*y + 2*t^8.553*y + 3*t^8.872*y	2*g1*t^2.234 + t^2.362/g1^7 + 2*g1^4*t^2.936 + (2*t^3.192)/g1^12 + g1^7*t^3.638 + (2*t^3.766)/g1 + 3*g1^10*t^4.34 + 3*g1^2*t^4.468 + (2*t^4.596)/g1^6 + t^4.723/g1^14 + 4*g1^5*t^5.17 + (2*t^5.298)/g1^3 + (2*t^5.426)/g1^11 + (2*t^5.553)/g1^19 + 4*g1^8*t^5.872 - t^6. + (4*t^6.128)/g1^8 + (3*t^6.383)/g1^24 + 4*g1^11*t^6.574 + 7*g1^3*t^6.702 + t^6.83/g1^5 + (4*t^6.957)/g1^13 + t^7.085/g1^21 + 4*g1^14*t^7.277 + 3*g1^6*t^7.404 + (5*t^7.532)/g1^2 + (4*t^7.66)/g1^10 + (2*t^7.787)/g1^18 + (2*t^7.915)/g1^26 + g1^17*t^7.979 + 7*g1^9*t^8.106 - 2*g1*t^8.234 - t^8.362/g1^7 + (4*t^8.489)/g1^15 + (2*t^8.617)/g1^23 + 5*g1^20*t^8.681 + (3*t^8.745)/g1^31 + 7*g1^12*t^8.808 - 2*g1^4*t^8.936 - t^4.532/(g1^2*y) - t^6.894/(g1^9*y) + (g1^10*t^7.34)/y + (3*t^7.596)/(g1^6*y) - t^7.723/(g1^14*y) + (5*g1^5*t^8.17)/y + (2*t^8.298)/(g1^3*y) + (4*t^8.426)/(g1^11*y) + (2*t^8.553)/(g1^19*y) + (3*g1^8*t^8.872)/y - (t^4.532*y)/g1^2 - (t^6.894*y)/g1^9 + g1^10*t^7.34*y + (3*t^7.596*y)/g1^6 - (t^7.723*y)/g1^14 + 5*g1^5*t^8.17*y + (2*t^8.298*y)/g1^3 + (4*t^8.426*y)/g1^11 + (2*t^8.553*y)/g1^19 + 3*g1^8*t^8.872*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
3110	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$	0.6018	0.7729	0.7787	[M:[0.9474, 1.1579, 0.9474, 0.7368, 1.2632, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]]	2*t^2.211 + t^2.526 + 2*t^2.842 + 3*t^3.474 + 2*t^3.789 + 3*t^4.105 + 3*t^4.421 + 2*t^4.737 + 5*t^5.053 + 2*t^5.368 + 6*t^5.684 + t^6. - t^4.579/y - t^4.579*y	detail	{a: 4128/6859, c: 21205/27436, M1: 18/19, M2: 22/19, M3: 18/19, M4: 14/19, M5: 24/19, M6: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19}
3111	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6255	0.8112	0.7711	[M:[0.9857, 1.043, 0.9857, 0.7464, 1.2536, 0.7751, 0.7751], q:[0.7464, 0.2679], qb:[0.4785, 0.4785], phi:[0.5072]]	2*t^2.239 + 2*t^2.325 + 2*t^2.957 + 2*t^3.129 + 2*t^3.761 + 3*t^4.392 + 3*t^4.478 + 4*t^4.565 + 3*t^4.651 + 4*t^5.196 + 4*t^5.282 + 2*t^5.368 + 4*t^5.454 + 2*t^5.914 - 2*t^6. - t^4.522/y - t^4.522*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
859	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$	0.5911	0.7501	0.788	[M:[0.9703, 1.0891, 0.9703, 0.7426, 1.2574], q:[0.7426, 0.2871], qb:[0.4555, 0.4555], phi:[0.5148]]	2*t^2.228 + 2*t^2.911 + 2*t^3.267 + 2*t^3.594 + 2*t^3.772 + 3*t^4.277 + 3*t^4.455 + 4*t^5.139 + 2*t^5.495 + 6*t^5.822 - 2*t^6. - t^4.545/y - t^4.545*y	detail