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
2568	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{8}$	0.7441	0.9354	0.7955	[M:[1.0606, 0.8183, 0.8789, 1.0, 1.0, 0.8789, 0.7119, 0.9394], q:[0.5303, 0.4092], qb:[0.5908, 0.5908], phi:[0.4697]]	[M:[[2, 2], [-6, -6], [-7, -1], [3, -3], [-3, 3], [-1, -7], [7, 7], [-2, -2]], q:[[1, 1], [-3, -3]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{8}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{5}\phi_{1}^{2}$	${}M_{4}^{2}$, ${ }M_{5}^{2}$	-3	t^2.136 + t^2.455 + 2*t^2.637 + 2*t^2.818 + 2*t^3. + t^4.228 + t^4.272 + 2*t^4.409 + 2*t^4.591 + 4*t^4.772 + t^4.91 + 5*t^4.954 + 2*t^5.092 + 2*t^5.136 + 5*t^5.273 + 4*t^5.455 + 6*t^5.637 + 2*t^5.818 - 3*t^6. - 2*t^6.182 - t^6.363 + t^6.407 + t^6.683 + 2*t^6.727 + 2*t^6.864 + 4*t^6.908 + 6*t^7.046 + 5*t^7.09 + 8*t^7.228 + 2*t^7.272 + t^7.365 + 11*t^7.409 + 2*t^7.547 + 10*t^7.591 + 5*t^7.728 + 9*t^7.772 + 8*t^7.91 + 2*t^7.954 + 8*t^8.092 - 7*t^8.136 + 8*t^8.273 - 4*t^8.317 + 2*t^8.455 - t^8.499 + t^8.543 - 6*t^8.637 - 10*t^8.818 + 2*t^8.862 - t^4.409/y - t^6.545/y - t^6.864/y - (2*t^7.046)/y - t^7.228/y + (2*t^7.591)/y + (4*t^7.772)/y + (3*t^7.954)/y + (2*t^8.092)/y + (2*t^8.136)/y + (4*t^8.273)/y + (6*t^8.455)/y + (5*t^8.637)/y - t^8.681/y + (4*t^8.818)/y - t^4.409*y - t^6.545*y - t^6.864*y - 2*t^7.046*y - t^7.228*y + 2*t^7.591*y + 4*t^7.772*y + 3*t^7.954*y + 2*t^8.092*y + 2*t^8.136*y + 4*t^8.273*y + 6*t^8.455*y + 5*t^8.637*y - t^8.681*y + 4*t^8.818*y	g1^7*g2^7*t^2.136 + t^2.455/(g1^6*g2^6) + t^2.637/(g1*g2^7) + t^2.637/(g1^7*g2) + (2*t^2.818)/(g1^2*g2^2) + (g1^3*t^3.)/g2^3 + (g2^3*t^3.)/g1^3 + t^4.228/(g1^3*g2^3) + g1^14*g2^14*t^4.272 + (g1^2*t^4.409)/g2^4 + (g2^2*t^4.409)/g1^4 + 2*g1*g2*t^4.591 + 2*g1^6*t^4.772 + 2*g2^6*t^4.772 + t^4.91/(g1^12*g2^12) + (g1^11*t^4.954)/g2 + 3*g1^5*g2^5*t^4.954 + (g2^11*t^4.954)/g1 + t^5.092/(g1^7*g2^13) + t^5.092/(g1^13*g2^7) + g1^10*g2^4*t^5.136 + g1^4*g2^10*t^5.136 + t^5.273/(g1^2*g2^14) + (3*t^5.273)/(g1^8*g2^8) + t^5.273/(g1^14*g2^2) + (2*t^5.455)/(g1^3*g2^9) + (2*t^5.455)/(g1^9*g2^3) + (g1^2*t^5.637)/g2^10 + (4*t^5.637)/(g1^4*g2^4) + (g2^2*t^5.637)/g1^10 + (g1*t^5.818)/g2^5 + (g2*t^5.818)/g1^5 - 3*t^6. - (g1^5*t^6.182)/g2 - (g2^5*t^6.182)/g1 - g1^4*g2^4*t^6.363 + g1^21*g2^21*t^6.407 + t^6.683/(g1^9*g2^9) + 2*g1^8*g2^8*t^6.727 + t^6.864/(g1^4*g2^10) + t^6.864/(g1^10*g2^4) + 2*g1^13*g2^7*t^6.908 + 2*g1^7*g2^13*t^6.908 + (g1*t^7.046)/g2^11 + (4*t^7.046)/(g1^5*g2^5) + (g2*t^7.046)/g1^11 + g1^18*g2^6*t^7.09 + 3*g1^12*g2^12*t^7.09 + g1^6*g2^18*t^7.09 + (4*t^7.228)/g1^6 + (4*t^7.228)/g2^6 + g1^17*g2^11*t^7.272 + g1^11*g2^17*t^7.272 + t^7.365/(g1^18*g2^18) + (3*g1^5*t^7.409)/g2^7 + (5*t^7.409)/(g1*g2) + (3*g2^5*t^7.409)/g1^7 + t^7.547/(g1^13*g2^19) + t^7.547/(g1^19*g2^13) + (g1^10*t^7.591)/g2^8 + (4*g1^4*t^7.591)/g2^2 + (4*g2^4*t^7.591)/g1^2 + (g2^10*t^7.591)/g1^8 + t^7.728/(g1^8*g2^20) + (3*t^7.728)/(g1^14*g2^14) + t^7.728/(g1^20*g2^8) + (3*g1^9*t^7.772)/g2^3 + 3*g1^3*g2^3*t^7.772 + (3*g2^9*t^7.772)/g1^3 + t^7.91/(g1^3*g2^21) + (3*t^7.91)/(g1^9*g2^15) + (3*t^7.91)/(g1^15*g2^9) + t^7.91/(g1^21*g2^3) + (g1^14*t^7.954)/g2^4 + (g2^14*t^7.954)/g1^4 + (2*t^8.092)/(g1^4*g2^16) + (4*t^8.092)/(g1^10*g2^10) + (2*t^8.092)/(g1^16*g2^4) - g1^13*g2*t^8.136 - 5*g1^7*g2^7*t^8.136 - g1*g2^13*t^8.136 + (g1*t^8.273)/g2^17 + (3*t^8.273)/(g1^5*g2^11) + (3*t^8.273)/(g1^11*g2^5) + (g2*t^8.273)/g1^17 - 2*g1^12*g2^6*t^8.317 - 2*g1^6*g2^12*t^8.317 + t^8.455/g1^12 + t^8.455/g2^12 - g1^11*g2^11*t^8.499 + g1^28*g2^28*t^8.543 - (3*t^8.637)/(g1*g2^7) - (3*t^8.637)/(g1^7*g2) - (g1^4*t^8.818)/g2^8 - (8*t^8.818)/(g1^2*g2^2) - (g2^4*t^8.818)/g1^8 + 2*g1^15*g2^15*t^8.862 - t^4.409/(g1*g2*y) - (g1^6*g2^6*t^6.545)/y - t^6.864/(g1^7*g2^7*y) - t^7.046/(g1^2*g2^8*y) - t^7.046/(g1^8*g2^2*y) - t^7.228/(g1^3*g2^3*y) + (2*g1*g2*t^7.591)/y + (2*g1^6*t^7.772)/y + (2*g2^6*t^7.772)/y + (3*g1^5*g2^5*t^7.954)/y + t^8.092/(g1^7*g2^13*y) + t^8.092/(g1^13*g2^7*y) + (g1^10*g2^4*t^8.136)/y + (g1^4*g2^10*t^8.136)/y + (4*t^8.273)/(g1^8*g2^8*y) + (3*t^8.455)/(g1^3*g2^9*y) + (3*t^8.455)/(g1^9*g2^3*y) + (g1^2*t^8.637)/(g2^10*y) + (3*t^8.637)/(g1^4*g2^4*y) + (g2^2*t^8.637)/(g1^10*y) - (g1^13*g2^13*t^8.681)/y + (2*g1*t^8.818)/(g2^5*y) + (2*g2*t^8.818)/(g1^5*y) - (t^4.409*y)/(g1*g2) - g1^6*g2^6*t^6.545*y - (t^6.864*y)/(g1^7*g2^7) - (t^7.046*y)/(g1^2*g2^8) - (t^7.046*y)/(g1^8*g2^2) - (t^7.228*y)/(g1^3*g2^3) + 2*g1*g2*t^7.591*y + 2*g1^6*t^7.772*y + 2*g2^6*t^7.772*y + 3*g1^5*g2^5*t^7.954*y + (t^8.092*y)/(g1^7*g2^13) + (t^8.092*y)/(g1^13*g2^7) + g1^10*g2^4*t^8.136*y + g1^4*g2^10*t^8.136*y + (4*t^8.273*y)/(g1^8*g2^8) + (3*t^8.455*y)/(g1^3*g2^9) + (3*t^8.455*y)/(g1^9*g2^3) + (g1^2*t^8.637*y)/g2^10 + (3*t^8.637*y)/(g1^4*g2^4) + (g2^2*t^8.637*y)/g1^10 - g1^13*g2^13*t^8.681*y + (2*g1*t^8.818*y)/g2^5 + (2*g2*t^8.818*y)/g1^5

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
4654	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{2}X_{1}$	0.6522	0.8218	0.7936	[X:[1.4286], M:[1.1429, 0.5714, 0.7143, 1.0, 1.0, 0.7143, 1.0, 0.8571], q:[0.5714, 0.2857], qb:[0.7143, 0.7143], phi:[0.4286]]	2*t^2.143 + 2*t^2.571 + 3*t^3. + t^3.857 + 6*t^4.286 + 3*t^4.714 + 10*t^5.143 + 7*t^5.571 - t^4.286/y - t^4.286*y	detail	{a: 3579/5488, c: 2255/2744, X1: 10/7, M1: 8/7, M2: 4/7, M3: 5/7, M4: 1, M5: 1, M6: 5/7, M7: 1, M8: 6/7, q1: 4/7, q2: 2/7, qb1: 5/7, qb2: 5/7, phi1: 3/7}

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
1466	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.7387	0.9262	0.7975	[M:[1.0564, 0.8307, 0.8871, 1.0, 1.0, 0.8871, 0.6975], q:[0.5282, 0.4153], qb:[0.5847, 0.5847], phi:[0.4718]]	t^2.093 + t^2.492 + 2*t^2.661 + t^2.831 + 2*t^3. + t^3.169 + t^4.185 + t^4.246 + 2*t^4.415 + 2*t^4.585 + 4*t^4.754 + 4*t^4.923 + t^4.984 + 2*t^5.093 + 2*t^5.153 + t^5.262 + 4*t^5.323 + 2*t^5.492 + 5*t^5.661 + 2*t^5.831 - 2*t^6. - t^4.415/y - t^4.415*y	detail