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
48168	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$	0.6733	0.8548	0.7876	[M:[1.1492, 0.7116, 0.8508, 0.8206, 0.6814, 0.7963], q:[0.4103, 0.4405], qb:[0.8781, 0.7389], phi:[0.3831]]	[M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [-7, -7], [7, 9]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]]

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$	${}\phi_{1}^{3}q_{1}q_{2}$	-1	t^2.044 + t^2.135 + t^2.298 + t^2.389 + t^2.462 + t^2.552 + t^3.448 + t^3.702 + t^3.792 + t^4.088 + t^4.179 + t^4.27 + t^4.343 + 2*t^4.433 + t^4.506 + t^4.524 + 3*t^4.597 + 2*t^4.687 + t^4.76 + t^4.778 + 3*t^4.851 + t^4.924 + t^4.941 + t^5.014 + t^5.105 + t^5.492 + t^5.582 + t^5.746 + 2*t^5.836 + t^5.927 - t^6. + t^6.091 + t^6.133 + t^6.181 + t^6.223 + t^6.254 + t^6.314 + t^6.345 + t^6.387 + t^6.404 + 2*t^6.477 + t^6.55 + 2*t^6.568 + 3*t^6.641 + t^6.659 + 4*t^6.732 + t^6.804 + 3*t^6.822 + 5*t^6.895 + t^6.913 + t^6.968 + 4*t^6.986 + 2*t^7.059 + 2*t^7.076 + 3*t^7.149 + t^7.167 + t^7.222 + 3*t^7.24 + t^7.313 + t^7.33 + t^7.386 + t^7.476 + t^7.494 + t^7.536 + t^7.584 + t^7.627 + t^7.717 + t^7.79 + 2*t^7.881 + 2*t^7.971 - t^8.044 + t^8.062 - t^8.135 + t^8.177 - t^8.208 + 2*t^8.225 + t^8.268 - t^8.298 + t^8.316 + t^8.358 - t^8.389 + t^8.431 + t^8.449 - 4*t^8.462 + 2*t^8.48 + 2*t^8.522 + t^8.539 - 3*t^8.552 + t^8.57 + t^8.595 + 2*t^8.612 + t^8.643 + 3*t^8.685 + 2*t^8.703 - t^8.716 + t^8.734 + 4*t^8.776 + t^8.793 + t^8.849 + 5*t^8.866 + t^8.897 + 5*t^8.939 + 3*t^8.957 - t^4.149/y - t^6.193/y - t^6.284/y - t^6.448/y - t^6.538/y - t^6.611/y + t^7.179/y + t^7.343/y + (2*t^7.433)/y + t^7.506/y + t^7.524/y + (2*t^7.597)/y + (3*t^7.687)/y + (2*t^7.76)/y + (3*t^7.851)/y + t^7.941/y + (2*t^8.014)/y + t^8.105/y - t^8.238/y - t^8.328/y - t^8.419/y - t^8.582/y - t^8.655/y - t^8.673/y + (2*t^8.836)/y - t^4.149*y - t^6.193*y - t^6.284*y - t^6.448*y - t^6.538*y - t^6.611*y + t^7.179*y + t^7.343*y + 2*t^7.433*y + t^7.506*y + t^7.524*y + 2*t^7.597*y + 3*t^7.687*y + 2*t^7.76*y + 3*t^7.851*y + t^7.941*y + 2*t^8.014*y + t^8.105*y - t^8.238*y - t^8.328*y - t^8.419*y - t^8.582*y - t^8.655*y - t^8.673*y + 2*t^8.836*y	t^2.044/(g1^7*g2^7) + g1^2*g2^4*t^2.135 + t^2.298/(g1^2*g2^2) + g1^7*g2^9*t^2.389 + t^2.462/(g1^6*g2^8) + g1^3*g2^3*t^2.552 + t^3.448/(g1^3*g2^3) + g1^2*g2^2*t^3.702 + g1^11*g2^13*t^3.792 + t^4.088/(g1^14*g2^14) + t^4.179/(g1^5*g2^3) + g1^4*g2^8*t^4.27 + t^4.343/(g1^9*g2^9) + 2*g2^2*t^4.433 + t^4.506/(g1^13*g2^15) + g1^9*g2^13*t^4.524 + (3*t^4.597)/(g1^4*g2^4) + 2*g1^5*g2^7*t^4.687 + t^4.76/(g1^8*g2^10) + g1^14*g2^18*t^4.778 + 3*g1*g2*t^4.851 + t^4.924/(g1^12*g2^16) + g1^10*g2^12*t^4.941 + t^5.014/(g1^3*g2^5) + g1^6*g2^6*t^5.105 + t^5.492/(g1^10*g2^10) + (g2*t^5.582)/g1 + t^5.746/(g1^5*g2^5) + 2*g1^4*g2^6*t^5.836 + g1^13*g2^17*t^5.927 - t^6. + g1^9*g2^11*t^6.091 + t^6.133/(g1^21*g2^21) + g1^18*g2^22*t^6.181 + t^6.223/(g1^12*g2^10) + g1^5*g2^5*t^6.254 + (g2*t^6.314)/g1^3 + g1^14*g2^16*t^6.345 + t^6.387/(g1^16*g2^16) + g1^6*g2^12*t^6.404 + (2*t^6.477)/(g1^7*g2^5) + t^6.55/(g1^20*g2^22) + 2*g1^2*g2^6*t^6.568 + (3*t^6.641)/(g1^11*g2^11) + g1^11*g2^17*t^6.659 + (4*t^6.732)/g1^2 + t^6.804/(g1^15*g2^17) + 3*g1^7*g2^11*t^6.822 + (5*t^6.895)/(g1^6*g2^6) + g1^16*g2^22*t^6.913 + t^6.968/(g1^19*g2^23) + 4*g1^3*g2^5*t^6.986 + (2*t^7.059)/(g1^10*g2^12) + 2*g1^12*g2^16*t^7.076 + (3*t^7.149)/(g1*g2) + g1^21*g2^27*t^7.167 + t^7.222/(g1^14*g2^18) + 3*g1^8*g2^10*t^7.24 + t^7.313/(g1^5*g2^7) + g1^17*g2^21*t^7.33 + t^7.386/(g1^18*g2^24) + t^7.476/(g1^9*g2^13) + g1^13*g2^15*t^7.494 + t^7.536/(g1^17*g2^17) + g1^22*g2^26*t^7.584 + t^7.627/(g1^8*g2^6) + g1*g2^5*t^7.717 + t^7.79/(g1^12*g2^12) + (2*t^7.881)/(g1^3*g2) + 2*g1^6*g2^10*t^7.971 - t^8.044/(g1^7*g2^7) + g1^15*g2^21*t^8.062 - g1^2*g2^4*t^8.135 + t^8.177/(g1^28*g2^28) - t^8.208/(g1^11*g2^13) + 2*g1^11*g2^15*t^8.225 + t^8.268/(g1^19*g2^17) - t^8.298/(g1^2*g2^2) + g1^20*g2^26*t^8.316 + t^8.358/(g1^10*g2^6) - g1^7*g2^9*t^8.389 + t^8.431/(g1^23*g2^23) + (g2^5*t^8.449)/g1 - (4*t^8.462)/(g1^6*g2^8) + 2*g1^16*g2^20*t^8.48 + (2*t^8.522)/(g1^14*g2^12) + g1^8*g2^16*t^8.539 - 3*g1^3*g2^3*t^8.552 + g1^25*g2^31*t^8.57 + t^8.595/(g1^27*g2^29) + (2*t^8.612)/(g1^5*g2) + g1^12*g2^14*t^8.643 + (3*t^8.685)/(g1^18*g2^18) + 2*g1^4*g2^10*t^8.703 - t^8.716/(g1*g2^3) + g1^21*g2^25*t^8.734 + (4*t^8.776)/(g1^9*g2^7) + g1^13*g2^21*t^8.793 + t^8.849/(g1^22*g2^24) + 5*g2^4*t^8.866 + g1^17*g2^19*t^8.897 + (5*t^8.939)/(g1^13*g2^13) + 3*g1^9*g2^15*t^8.957 - t^4.149/(g1*g2*y) - t^6.193/(g1^8*g2^8*y) - (g1*g2^3*t^6.284)/y - t^6.448/(g1^3*g2^3*y) - (g1^6*g2^8*t^6.538)/y - t^6.611/(g1^7*g2^9*y) + t^7.179/(g1^5*g2^3*y) + t^7.343/(g1^9*g2^9*y) + (2*g2^2*t^7.433)/y + t^7.506/(g1^13*g2^15*y) + (g1^9*g2^13*t^7.524)/y + (2*t^7.597)/(g1^4*g2^4*y) + (3*g1^5*g2^7*t^7.687)/y + (2*t^7.76)/(g1^8*g2^10*y) + (3*g1*g2*t^7.851)/y + (g1^10*g2^12*t^7.941)/y + (2*t^8.014)/(g1^3*g2^5*y) + (g1^6*g2^6*t^8.105)/y - t^8.238/(g1^15*g2^15*y) - t^8.328/(g1^6*g2^4*y) - (g1^3*g2^7*t^8.419)/y - (g2*t^8.582)/(g1*y) - t^8.655/(g1^14*g2^16*y) - (g1^8*g2^12*t^8.673)/y + (2*g1^4*g2^6*t^8.836)/y - (t^4.149*y)/(g1*g2) - (t^6.193*y)/(g1^8*g2^8) - g1*g2^3*t^6.284*y - (t^6.448*y)/(g1^3*g2^3) - g1^6*g2^8*t^6.538*y - (t^6.611*y)/(g1^7*g2^9) + (t^7.179*y)/(g1^5*g2^3) + (t^7.343*y)/(g1^9*g2^9) + 2*g2^2*t^7.433*y + (t^7.506*y)/(g1^13*g2^15) + g1^9*g2^13*t^7.524*y + (2*t^7.597*y)/(g1^4*g2^4) + 3*g1^5*g2^7*t^7.687*y + (2*t^7.76*y)/(g1^8*g2^10) + 3*g1*g2*t^7.851*y + g1^10*g2^12*t^7.941*y + (2*t^8.014*y)/(g1^3*g2^5) + g1^6*g2^6*t^8.105*y - (t^8.238*y)/(g1^15*g2^15) - (t^8.328*y)/(g1^6*g2^4) - g1^3*g2^7*t^8.419*y - (g2*t^8.582*y)/g1 - (t^8.655*y)/(g1^14*g2^16) - g1^8*g2^12*t^8.673*y + 2*g1^4*g2^6*t^8.836*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
50867	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$	0.6731	0.854	0.7881	[M:[1.1481, 0.7221, 0.8519, 0.8087, 0.6789, 0.8087], q:[0.4043, 0.4476], qb:[0.8736, 0.7438], phi:[0.3827]]	t^2.037 + t^2.166 + t^2.296 + 2*t^2.426 + t^2.556 + t^3.444 + t^3.704 + t^3.834 + t^4.073 + t^4.203 + 2*t^4.333 + 3*t^4.463 + 4*t^4.592 + 3*t^4.722 + 5*t^4.852 + 2*t^4.982 + t^5.112 + t^5.481 + t^5.611 + t^5.74 + 2*t^5.87 - t^4.148/y - t^4.148*y	detail
55915	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{5}^{2}$	0.6092	0.7767	0.7842	[M:[1.2857, 0.8901, 0.7143, 0.8242, 1.0, 0.7472], q:[0.4121, 0.3022], qb:[0.6978, 0.8736], phi:[0.4286]]	t^2.143 + t^2.242 + t^2.473 + t^2.571 + t^2.67 + t^3. + t^3.099 + t^3.429 + t^3.857 + t^4.286 + t^4.384 + t^4.483 + t^4.616 + 3*t^4.714 + 2*t^4.813 + t^4.912 + t^4.945 + t^5.044 + 3*t^5.143 + 3*t^5.242 + 2*t^5.34 + t^5.473 + 2*t^5.571 + 2*t^5.67 + t^5.769 - t^4.286/y - t^4.286*y	detail
50948	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$	0.6644	0.8389	0.792	[M:[1.1879, 0.8121, 0.8121, 0.7717, 0.7717, 0.8324], q:[0.3858, 0.4263], qb:[0.802, 0.802], phi:[0.396]]	2*t^2.315 + t^2.376 + 2*t^2.436 + t^2.497 + t^3.564 + t^3.624 + t^3.746 + 3*t^4.63 + 2*t^4.691 + 5*t^4.751 + 5*t^4.812 + 4*t^4.873 + 2*t^4.934 + t^4.994 + t^5.879 + t^5.939 - t^4.188/y - t^4.188*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
46634	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6574	0.8268	0.7952	[M:[1.1451, 0.7351, 0.8549, 0.7916, 0.6718], q:[0.3958, 0.4591], qb:[0.8691, 0.7492], phi:[0.3817]]	t^2.015 + t^2.205 + t^2.29 + t^2.375 + t^2.565 + t^3.435 + t^3.52 + t^3.71 + t^3.9 + t^4.031 + t^4.221 + t^4.305 + t^4.39 + t^4.411 + t^4.495 + 3*t^4.58 + t^4.665 + t^4.75 + t^4.77 + 2*t^4.855 + t^4.94 + t^5.13 + t^5.451 + t^5.535 + t^5.64 + 2*t^5.725 + t^5.81 + t^5.895 + t^5.915 - t^6. - t^4.145/y - t^4.145*y	detail