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
4836	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$	0.712	0.8834	0.8059	[M:[0.8705, 1.0648, 1.0, 0.9352, 1.0648, 0.9352, 0.9352, 0.8705], q:[0.5971, 0.5324], qb:[0.4029, 0.5324], phi:[0.4838]]	[M:[[-8], [4], [0], [-4], [4], [-4], [-4], [-8]], q:[[6], [2]], qb:[[-6], [2]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{8}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$	${}$	-5	2*t^2.611 + 3*t^2.806 + t^2.903 + t^3. + t^3.869 + 2*t^4.257 + t^4.451 + 3*t^4.646 + 2*t^4.84 + t^5.034 + 3*t^5.223 + 5*t^5.417 + 2*t^5.514 + 6*t^5.611 + 3*t^5.709 + 2*t^5.806 + t^5.903 - 5*t^6. - 3*t^6.194 - 2*t^6.389 + 2*t^6.48 - t^6.583 + 3*t^6.674 + t^6.771 + 4*t^6.869 - t^6.966 + 5*t^7.063 + 2*t^7.16 + 7*t^7.257 - t^7.354 + 7*t^7.451 + 2*t^7.549 + 4*t^7.646 + t^7.737 - t^7.743 + 4*t^7.834 + t^7.84 - t^7.937 + 7*t^8.029 - 2*t^8.034 + 5*t^8.126 - t^8.131 + 8*t^8.223 - t^8.229 + 6*t^8.32 + 8*t^8.417 + 9*t^8.514 - 6*t^8.611 + 4*t^8.709 - 17*t^8.806 - t^4.451/y - (2*t^7.063)/y - t^7.257/y - t^7.354/y + t^7.549/y + t^7.646/y + (2*t^7.84)/y + t^8.223/y + (6*t^8.417)/y + (2*t^8.514)/y + (5*t^8.611)/y + (3*t^8.709)/y + (3*t^8.806)/y + t^8.903/y - t^4.451*y - 2*t^7.063*y - t^7.257*y - t^7.354*y + t^7.549*y + t^7.646*y + 2*t^7.84*y + t^8.223*y + 6*t^8.417*y + 2*t^8.514*y + 5*t^8.611*y + 3*t^8.709*y + 3*t^8.806*y + t^8.903*y	(2*t^2.611)/g1^8 + (3*t^2.806)/g1^4 + t^2.903/g1^2 + t^3. + t^3.869/g1^13 + (2*t^4.257)/g1^5 + t^4.451/g1 + 3*g1^3*t^4.646 + 2*g1^7*t^4.84 + g1^11*t^5.034 + (3*t^5.223)/g1^16 + (5*t^5.417)/g1^12 + (2*t^5.514)/g1^10 + (6*t^5.611)/g1^8 + (3*t^5.709)/g1^6 + (2*t^5.806)/g1^4 + t^5.903/g1^2 - 5*t^6. - 3*g1^4*t^6.194 - 2*g1^8*t^6.389 + (2*t^6.48)/g1^21 - g1^12*t^6.583 + (3*t^6.674)/g1^17 + t^6.771/g1^15 + (4*t^6.869)/g1^13 - t^6.966/g1^11 + (5*t^7.063)/g1^9 + (2*t^7.16)/g1^7 + (7*t^7.257)/g1^5 - t^7.354/g1^3 + (7*t^7.451)/g1 + 2*g1*t^7.549 + 4*g1^3*t^7.646 + t^7.737/g1^26 - g1^5*t^7.743 + (4*t^7.834)/g1^24 + g1^7*t^7.84 - g1^9*t^7.937 + (7*t^8.029)/g1^20 - 2*g1^11*t^8.034 + (5*t^8.126)/g1^18 - g1^13*t^8.131 + (8*t^8.223)/g1^16 - g1^15*t^8.229 + (6*t^8.32)/g1^14 + (8*t^8.417)/g1^12 + (9*t^8.514)/g1^10 - (6*t^8.611)/g1^8 + (4*t^8.709)/g1^6 - (17*t^8.806)/g1^4 - t^4.451/(g1*y) - (2*t^7.063)/(g1^9*y) - t^7.257/(g1^5*y) - t^7.354/(g1^3*y) + (g1*t^7.549)/y + (g1^3*t^7.646)/y + (2*g1^7*t^7.84)/y + t^8.223/(g1^16*y) + (6*t^8.417)/(g1^12*y) + (2*t^8.514)/(g1^10*y) + (5*t^8.611)/(g1^8*y) + (3*t^8.709)/(g1^6*y) + (3*t^8.806)/(g1^4*y) + t^8.903/(g1^2*y) - (t^4.451*y)/g1 - (2*t^7.063*y)/g1^9 - (t^7.257*y)/g1^5 - (t^7.354*y)/g1^3 + g1*t^7.549*y + g1^3*t^7.646*y + 2*g1^7*t^7.84*y + (t^8.223*y)/g1^16 + (6*t^8.417*y)/g1^12 + (2*t^8.514*y)/g1^10 + (5*t^8.611*y)/g1^8 + (3*t^8.709*y)/g1^6 + (3*t^8.806*y)/g1^4 + (t^8.903*y)/g1^2

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
6447	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$	0.7325	0.9218	0.7946	[M:[0.88, 1.06, 1.0, 0.94, 1.06, 0.94, 0.94, 0.88, 0.6949], q:[0.59, 0.53], qb:[0.41, 0.53], phi:[0.485]]	t^2.085 + 2*t^2.64 + 3*t^2.82 + t^2.91 + t^3. + t^4.17 + 2*t^4.275 + t^4.455 + 3*t^4.635 + 2*t^4.725 + 2*t^4.815 + 3*t^4.905 + 2*t^4.995 + t^5.085 + 3*t^5.28 + 5*t^5.46 + 2*t^5.55 + 6*t^5.64 + 3*t^5.73 + 2*t^5.82 + t^5.91 - 5*t^6. - t^4.455/y - t^4.455*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
2677	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{7}$	0.7018	0.8633	0.8129	[M:[0.9043, 1.0478, 1.0, 0.9522, 1.0478, 0.9522, 0.9522], q:[0.5718, 0.5239], qb:[0.4282, 0.5239], phi:[0.488]]	t^2.713 + 3*t^2.856 + t^2.928 + t^3. + t^3.287 + t^4.034 + 2*t^4.321 + t^4.464 + 3*t^4.608 + 2*t^4.751 + t^4.895 + t^5.426 + 2*t^5.569 + t^5.641 + 5*t^5.713 + 3*t^5.785 + 2*t^5.856 + t^5.928 - 4*t^6. - t^4.464/y - t^4.464*y	detail