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
4132	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}q_{1}q_{2}$	0.6878	0.8704	0.7903	[M:[0.993, 1.0791, 1.1512, 0.8488, 0.6907, 1.0791, 0.8488, 0.6907], q:[0.7698, 0.5395], qb:[0.4674, 0.3814], phi:[0.4605]]	[M:[[13], [-4], [5], [-5], [3], [-4], [-5], [3]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{8}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{8}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$	${}$	-3	2*t^2.072 + 2*t^2.547 + t^2.979 + 2*t^3.237 + t^3.67 + t^3.712 + 4*t^4.144 + t^4.186 + t^4.402 + 5*t^4.619 + 2*t^5.051 + 3*t^5.093 + 4*t^5.309 + t^5.526 + t^5.742 + 5*t^5.784 + t^5.958 - 3*t^6. + 8*t^6.216 + 3*t^6.258 + 2*t^6.474 + t^6.649 + 8*t^6.691 + 2*t^6.733 - t^6.907 + 3*t^6.949 + 3*t^7.123 + 5*t^7.165 + t^7.339 + 6*t^7.381 + 2*t^7.423 + t^7.598 + 3*t^7.64 + 2*t^7.814 + 8*t^7.856 + t^7.898 + 2*t^8.03 - 7*t^8.072 + 11*t^8.288 + 8*t^8.33 + t^8.372 + t^8.505 - 4*t^8.547 + t^8.588 + t^8.721 + 13*t^8.763 + 6*t^8.805 + t^8.937 - 6*t^8.979 - t^4.381/y - (2*t^6.453)/y - t^6.928/y + (2*t^7.144)/y - t^7.36/y + t^7.402/y + (3*t^7.619)/y + t^7.835/y + (2*t^8.051)/y + t^8.093/y + (6*t^8.309)/y - t^8.526/y + (2*t^8.742)/y + (6*t^8.784)/y - t^4.381*y - 2*t^6.453*y - t^6.928*y + 2*t^7.144*y - t^7.36*y + t^7.402*y + 3*t^7.619*y + t^7.835*y + 2*t^8.051*y + t^8.093*y + 6*t^8.309*y - t^8.526*y + 2*t^8.742*y + 6*t^8.784*y	2*g1^3*t^2.072 + (2*t^2.547)/g1^5 + g1^13*t^2.979 + (2*t^3.237)/g1^4 + g1^14*t^3.67 + t^3.712/g1^12 + 4*g1^6*t^4.144 + t^4.186/g1^20 + t^4.402/g1^11 + (5*t^4.619)/g1^2 + 2*g1^16*t^5.051 + (3*t^5.093)/g1^10 + (4*t^5.309)/g1 + g1^8*t^5.526 + g1^17*t^5.742 + (5*t^5.784)/g1^9 + g1^26*t^5.958 - 3*t^6. + 8*g1^9*t^6.216 + (3*t^6.258)/g1^17 + (2*t^6.474)/g1^8 + g1^27*t^6.649 + 8*g1*t^6.691 + (2*t^6.733)/g1^25 - g1^10*t^6.907 + (3*t^6.949)/g1^16 + 3*g1^19*t^7.123 + (5*t^7.165)/g1^7 + g1^28*t^7.339 + 6*g1^2*t^7.381 + (2*t^7.423)/g1^24 + g1^11*t^7.598 + (3*t^7.64)/g1^15 + 2*g1^20*t^7.814 + (8*t^7.856)/g1^6 + t^7.898/g1^32 + 2*g1^29*t^8.03 - 7*g1^3*t^8.072 + 11*g1^12*t^8.288 + (8*t^8.33)/g1^14 + t^8.372/g1^40 + g1^21*t^8.505 - (4*t^8.547)/g1^5 + t^8.588/g1^31 + g1^30*t^8.721 + 13*g1^4*t^8.763 + (6*t^8.805)/g1^22 + g1^39*t^8.937 - 6*g1^13*t^8.979 - (g1^2*t^4.381)/y - (2*g1^5*t^6.453)/y - t^6.928/(g1^3*y) + (2*g1^6*t^7.144)/y - (g1^15*t^7.36)/y + t^7.402/(g1^11*y) + (3*t^7.619)/(g1^2*y) + (g1^7*t^7.835)/y + (2*g1^16*t^8.051)/y + t^8.093/(g1^10*y) + (6*t^8.309)/(g1*y) - (g1^8*t^8.526)/y + (2*g1^17*t^8.742)/y + (6*t^8.784)/(g1^9*y) - g1^2*t^4.381*y - 2*g1^5*t^6.453*y - (t^6.928*y)/g1^3 + 2*g1^6*t^7.144*y - g1^15*t^7.36*y + (t^7.402*y)/g1^11 + (3*t^7.619*y)/g1^2 + g1^7*t^7.835*y + 2*g1^16*t^8.051*y + (t^8.093*y)/g1^10 + (6*t^8.309*y)/g1 - g1^8*t^8.526*y + 2*g1^17*t^8.742*y + (6*t^8.784*y)/g1^9

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
5637	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$	0.6837	0.8675	0.7881	[M:[1.0588, 1.0588, 1.1765, 0.8235, 0.7059, 1.0588, 0.8235, 0.7059], q:[0.7647, 0.5294], qb:[0.4118, 0.4118], phi:[0.4706]]	2*t^2.118 + 2*t^2.471 + 3*t^3.176 + t^3.529 + 2*t^3.882 + 5*t^4.235 + 5*t^4.588 + 3*t^4.941 + 6*t^5.294 + 6*t^5.647 + t^6. - t^4.412/y - t^4.412*y	detail	{a: 26871/39304, c: 4262/4913, M1: 18/17, M2: 18/17, M3: 20/17, M4: 14/17, M5: 12/17, M6: 18/17, M7: 14/17, M8: 12/17, q1: 13/17, q2: 9/17, qb1: 7/17, qb2: 7/17, phi1: 8/17}

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
2158	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$	0.6672	0.8304	0.8034	[M:[0.9946, 1.0786, 1.1518, 0.8482, 0.6911, 1.0786, 0.8482], q:[0.7696, 0.5393], qb:[0.4661, 0.3821], phi:[0.4607]]	t^2.073 + 2*t^2.545 + t^2.984 + 2*t^3.236 + t^3.675 + t^3.707 + t^3.927 + 2*t^4.146 + t^4.179 + t^4.398 + 3*t^4.618 + t^5.057 + 3*t^5.089 + 2*t^5.309 + t^5.529 + 4*t^5.78 + t^5.968 - 2*t^6. - t^4.382/y - t^4.382*y	detail