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
2028	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6435	0.8457	0.7609	[M:[0.9916, 1.0252, 1.0084, 0.7479, 0.7479, 0.7647], q:[0.7479, 0.2605], qb:[0.4874, 0.4874], phi:[0.5042]]	[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
${}M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$	${}M_{6}q_{1}\tilde{q}_{1}$	-5	4*t^2.244 + t^2.294 + 2*t^3.025 + 2*t^3.076 + t^3.706 + 3*t^4.437 + 10*t^4.487 + 4*t^4.538 + t^4.588 + 8*t^5.269 + 8*t^5.319 + 2*t^5.37 + 3*t^5.95 - 5*t^6. + t^6.05 + 4*t^6.101 + 3*t^6.151 + 8*t^6.681 + 21*t^6.731 + 8*t^6.782 + 2*t^6.832 + t^6.882 - 2*t^7.412 + t^7.462 + 18*t^7.513 + 20*t^7.563 + 8*t^7.614 + 2*t^7.664 + t^8.143 - 21*t^8.244 - t^8.294 + 13*t^8.345 + 12*t^8.395 + 3*t^8.445 + 5*t^8.874 + 14*t^8.924 + 34*t^8.975 - t^4.513/y - (2*t^6.756)/y - t^6.807/y + t^7.437/y + (7*t^7.487)/y + (3*t^7.538)/y - t^7.588/y + t^8.218/y + (10*t^8.269)/y + (10*t^8.319)/y + (2*t^8.37)/y + (4*t^8.95)/y - t^4.513*y - 2*t^6.756*y - t^6.807*y + t^7.437*y + 7*t^7.487*y + 3*t^7.538*y - t^7.588*y + t^8.218*y + 10*t^8.269*y + 10*t^8.319*y + 2*t^8.37*y + 4*t^8.95*y	4*g1*t^2.244 + t^2.294/g1^7 + (2*t^3.025)/g1^4 + (2*t^3.076)/g1^12 + g1^7*t^3.706 + 3*g1^10*t^4.437 + 10*g1^2*t^4.487 + (4*t^4.538)/g1^6 + t^4.588/g1^14 + (8*t^5.269)/g1^3 + (8*t^5.319)/g1^11 + (2*t^5.37)/g1^19 + 3*g1^8*t^5.95 - 5*t^6. + t^6.05/g1^8 + (4*t^6.101)/g1^16 + (3*t^6.151)/g1^24 + 8*g1^11*t^6.681 + 21*g1^3*t^6.731 + (8*t^6.782)/g1^5 + (2*t^6.832)/g1^13 + t^6.882/g1^21 - 2*g1^14*t^7.412 + g1^6*t^7.462 + (18*t^7.513)/g1^2 + (20*t^7.563)/g1^10 + (8*t^7.614)/g1^18 + (2*t^7.664)/g1^26 + g1^17*t^8.143 - 21*g1*t^8.244 - t^8.294/g1^7 + (13*t^8.345)/g1^15 + (12*t^8.395)/g1^23 + (3*t^8.445)/g1^31 + 5*g1^20*t^8.874 + 14*g1^12*t^8.924 + 34*g1^4*t^8.975 - t^4.513/(g1^2*y) - (2*t^6.756)/(g1*y) - t^6.807/(g1^9*y) + (g1^10*t^7.437)/y + (7*g1^2*t^7.487)/y + (3*t^7.538)/(g1^6*y) - t^7.588/(g1^14*y) + (g1^5*t^8.218)/y + (10*t^8.269)/(g1^3*y) + (10*t^8.319)/(g1^11*y) + (2*t^8.37)/(g1^19*y) + (4*g1^8*t^8.95)/y - (t^4.513*y)/g1^2 - (2*t^6.756*y)/g1 - (t^6.807*y)/g1^9 + g1^10*t^7.437*y + 7*g1^2*t^7.487*y + (3*t^7.538*y)/g1^6 - (t^7.588*y)/g1^14 + g1^5*t^8.218*y + (10*t^8.269*y)/g1^3 + (10*t^8.319*y)/g1^11 + (2*t^8.37*y)/g1^19 + 4*g1^8*t^8.95*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
3093	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$	0.6311	0.8285	0.7618	[M:[0.9474, 1.1579, 1.0526, 0.7368, 0.7368, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]]	4*t^2.211 + t^2.526 + 2*t^3.158 + 3*t^3.474 + 3*t^4.105 + 10*t^4.421 + 4*t^4.737 + t^5.053 + 8*t^5.368 + 11*t^5.684 - 3*t^6. - t^4.579/y - t^4.579*y	detail	{a: 4329/6859, c: 22731/27436, M1: 18/19, M2: 22/19, M3: 20/19, M4: 14/19, M5: 14/19, M6: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19}

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
852	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6254	0.8129	0.7694	[M:[0.9847, 1.0459, 1.0153, 0.7462, 0.7462], q:[0.7462, 0.2691], qb:[0.477, 0.477], phi:[0.5077]]	4*t^2.239 + 2*t^3.046 + 2*t^3.138 + 2*t^3.67 + 3*t^4.385 + 10*t^4.477 + 8*t^5.284 + 6*t^5.376 + 7*t^5.908 - 6*t^6. - t^4.523/y - t^4.523*y	detail