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
2942	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6432	0.8457	0.7606	[M:[0.9963, 1.011, 1.0037, 0.7527, 0.7454, 0.7601], q:[0.7491, 0.2546], qb:[0.4909, 0.4982], phi:[0.5018]]	[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
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$	${}M_{4}q_{1}\tilde{q}_{2}$	-2	2*t^2.236 + 2*t^2.258 + t^2.28 + 2*t^3.011 + 2*t^3.033 + t^3.742 + t^4.451 + 4*t^4.473 + 5*t^4.495 + 5*t^4.516 + 2*t^4.538 + t^4.56 + 4*t^5.247 + 7*t^5.269 + 5*t^5.291 + 2*t^5.313 - 2*t^6. + t^6.022 + 4*t^6.044 + 3*t^6.066 + 2*t^6.687 + 6*t^6.709 + 7*t^6.731 + 10*t^6.753 + 8*t^6.775 + 4*t^6.797 + 2*t^6.819 + t^6.84 - t^7.44 + 5*t^7.484 + 11*t^7.505 + 14*t^7.527 + 11*t^7.549 + 5*t^7.571 + 2*t^7.593 - 4*t^8.214 - 10*t^8.236 - 5*t^8.258 + 4*t^8.28 + 11*t^8.302 + 8*t^8.324 + 3*t^8.346 + t^8.901 + 4*t^8.923 + 9*t^8.945 + 9*t^8.967 + 9*t^8.989 - t^4.505/y - t^6.742/y - t^6.764/y - t^6.786/y + (2*t^7.473)/y + (5*t^7.495)/y + (2*t^7.516)/y + t^7.538/y + t^8.225/y + (5*t^8.247)/y + (9*t^8.269)/y + (6*t^8.291)/y + (2*t^8.313)/y + t^8.978/y - t^4.505*y - t^6.742*y - t^6.764*y - t^6.786*y + 2*t^7.473*y + 5*t^7.495*y + 2*t^7.516*y + t^7.538*y + t^8.225*y + 5*t^8.247*y + 9*t^8.269*y + 6*t^8.291*y + 2*t^8.313*y + t^8.978*y	2*g1^5*t^2.236 + (2*t^2.258)/g1^3 + t^2.28/g1^11 + (2*t^3.011)/g1^4 + (2*t^3.033)/g1^12 + g1^3*t^3.742 + g1^18*t^4.451 + 4*g1^10*t^4.473 + 5*g1^2*t^4.495 + (5*t^4.516)/g1^6 + (2*t^4.538)/g1^14 + t^4.56/g1^22 + 4*g1*t^5.247 + (7*t^5.269)/g1^7 + (5*t^5.291)/g1^15 + (2*t^5.313)/g1^23 - 2*t^6. + t^6.022/g1^8 + (4*t^6.044)/g1^16 + (3*t^6.066)/g1^24 + 2*g1^23*t^6.687 + 6*g1^15*t^6.709 + 7*g1^7*t^6.731 + (10*t^6.753)/g1 + (8*t^6.775)/g1^9 + (4*t^6.797)/g1^17 + (2*t^6.819)/g1^25 + t^6.84/g1^33 - g1^22*t^7.44 + 5*g1^6*t^7.484 + (11*t^7.505)/g1^2 + (14*t^7.527)/g1^10 + (11*t^7.549)/g1^18 + (5*t^7.571)/g1^26 + (2*t^7.593)/g1^34 - 4*g1^13*t^8.214 - 10*g1^5*t^8.236 - (5*t^8.258)/g1^3 + (4*t^8.28)/g1^11 + (11*t^8.302)/g1^19 + (8*t^8.324)/g1^27 + (3*t^8.346)/g1^35 + g1^36*t^8.901 + 4*g1^28*t^8.923 + 9*g1^20*t^8.945 + 9*g1^12*t^8.967 + 9*g1^4*t^8.989 - t^4.505/(g1^2*y) - (g1^3*t^6.742)/y - t^6.764/(g1^5*y) - t^6.786/(g1^13*y) + (2*g1^10*t^7.473)/y + (5*g1^2*t^7.495)/y + (2*t^7.516)/(g1^6*y) + t^7.538/(g1^14*y) + (g1^9*t^8.225)/y + (5*g1*t^8.247)/y + (9*t^8.269)/(g1^7*y) + (6*t^8.291)/(g1^15*y) + (2*t^8.313)/(g1^23*y) + (g1^8*t^8.978)/y - (t^4.505*y)/g1^2 - g1^3*t^6.742*y - (t^6.764*y)/g1^5 - (t^6.786*y)/g1^13 + 2*g1^10*t^7.473*y + 5*g1^2*t^7.495*y + (2*t^7.516*y)/g1^6 + (t^7.538*y)/g1^14 + g1^9*t^8.225*y + 5*g1*t^8.247*y + (9*t^8.269*y)/g1^7 + (6*t^8.291*y)/g1^15 + (2*t^8.313*y)/g1^23 + g1^8*t^8.978*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
3527	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$	0.628	0.8237	0.7625	[M:[0.9565, 1.1304, 1.0435, 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^3.13 + 2*t^3.391 + t^3.652 + t^3.913 + 4*t^4.174 + 5*t^4.435 + 5*t^4.696 + 2*t^4.957 + 5*t^5.217 + 7*t^5.478 + 5*t^5.739 + 2*t^6. - t^4.565/y - t^4.565*y	detail	{a: 7641/12167, c: 20043/24334, M1: 22/23, M2: 26/23, M3: 24/23, M4: 18/23, M5: 16/23, M6: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23}

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
1910	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	0.6251	0.8126	0.7692	[M:[0.9888, 1.0335, 1.0112, 0.7584, 0.736], q:[0.7472, 0.264], qb:[0.4721, 0.4944], phi:[0.5056]]	2*t^2.208 + 2*t^2.275 + 2*t^3.034 + 2*t^3.101 + t^3.658 + t^3.725 + t^4.349 + 4*t^4.416 + 5*t^4.483 + 3*t^4.55 + 4*t^5.242 + 7*t^5.309 + 3*t^5.376 + 2*t^5.866 + 2*t^5.933 - 2*t^6. - t^4.517/y - t^4.517*y	detail